Inductor Topologies for Phase Noise Reduction

Abstract

To provide an inductor topology for phase noise reduction.SOLUTION: A voltage-controlled oscillator may include an inductor. The inductor may include a first coil coupled to an electronic component. The inductor may include a first coil coupled to the first circuit component, a second coil coupled to the first circuit component via a junction and being in parallel with the first coil, and a shared circuit path coupled to the second circuit component, the first coil and the second coil, the shared circuit path overlapping the junction. The inductor may be configured to reduce phase noise generated by the electronic component.SELECTED DRAWING: Figure 1

Description

[Technical field]

[0001] The present embodiments relate generally to inductors, and more specifically to inductors for voltage controlled oscillators (VCOs). [Background technology]

[0002] In a mobile communication device, a transceiver may transmit and receive radio signals. The transceiver may include a voltage controlled oscillator (VCO) that changes the frequency of the transmitted or received signal. However, the VCO may generate phase noise (e.g., a frequency domain representation of random variations in the phase of the transmitted or received signal, corresponding to deviations in the time domain from perfect periodicity) that may affect the performance of the transceiver and the quality of the transmitted or received signal. Summary of the Invention

[0003] A summary of certain embodiments disclosed herein is provided below. It should be understood that these aspects are presented merely to provide the reader with an overview of these specific embodiments, and that these aspects are not intended to limit the scope of this disclosure. Indeed, the disclosure may encompass a variety of aspects that are not set forth below.

[0004] In one embodiment, an inductor may include a first terminal, a second terminal, and a shared branch coupled to the second terminal. The inductor may further include a first coil coupled to the first terminal extending in a counterclockwise direction from the first terminal to the shared branch. The inductor may further include a second coil coupled to the first terminal extending in a clockwise direction from the first terminal to the shared branch, the first coil being symmetrical with the second coil about the shared branch.

[0005] In another embodiment, an electronic device may include one or more antennas. The electronic device may also include a transceiver coupled to the one or more antennas. The transceiver may include a first circuit, a second circuit, and an inductor. The inductor may have a first coil and a second coil coupled to the first circuit, and a shared branch coupled to the first coil and the second coil, bisecting the inductor and coupled to the second circuit, where the first coil is in parallel with the second coil.

[0006] In yet another embodiment, a voltage controlled oscillator may include a first circuit component, a second circuit component, and an inductor, the inductor may include a first coil coupled to the first circuit component, a second coil coupled to the first circuit component through a junction and in parallel with the first coil, and a shared circuit path coupled to the second circuit component, the first coil, and the second coil, the shared circuit path overlapping the junction.

[0007] Various refinements of the above-mentioned features may exist in relation to the various aspects of the present disclosure. Further features may also be incorporated into these various aspects as well. These refinements and additional features may exist individually or in any combination. For example, various features discussed below in relation to one or more of the illustrated embodiments may be incorporated alone or in any combination into any of the above-mentioned aspects of the present disclosure. The above summary is intended only to familiarize the reader with certain aspects and contexts of the embodiments of the present disclosure without limiting the claimed subject matter.

[0008] The various aspects of the present disclosure can be better understood by reading the following Detailed Description and by reference to the following drawings, in which like numbers refer to like parts, and in which: [Brief description of the drawings]

[0009] [Figure 1]FIG. 1 is a block diagram of an electronic device according to an embodiment of the present disclosure. [Diagram 2] 2 is a functional diagram of the electronic device of FIG. 1 according to an embodiment of the present disclosure. [Diagram 3] 2 is a schematic diagram of a transmitter of the electronic device of FIG. 1 according to an embodiment of the present disclosure. [Figure 4] 2 is a schematic diagram of a receiver of the electronic device of FIG. 1 according to an embodiment of the present disclosure. [Diagram 5] FIG. 1 shows an inductor having two coils in series in a figure-eight configuration. [Figure 6] FIG. 1 illustrates an inductor having two coils in parallel in a figure-eight configuration, according to an embodiment of the present disclosure. [Figure 7A] 7 is a three-dimensional view of the inductor of FIG. 6 according to an embodiment of the present disclosure. [Figure 7B] 7 is a three-dimensional view of the inductor of FIG. 6 according to an embodiment of the present disclosure. [Figure 8] 7 is a plot illustrating the inductance of the inductor of FIG. 5 and the inductance of the inductor of FIG. 6 in accordance with an embodiment of the present disclosure. [Figure 9] 7 is a plot illustrating the quality factor of the inductor of FIG. 5 and the quality factor of the inductor of FIG. 6 in accordance with an embodiment of the present disclosure. [Figure 10] 1A-1C illustrate alternative configurations of figure-of-eight parallel inductors according to embodiments of the present disclosure. [Figure 11A] 11 is a three-dimensional view of the inductor of FIG. 10 according to an embodiment of the present disclosure. [Figure 11B] 11 is a three-dimensional view of the inductor of FIG. 10 according to an embodiment of the present disclosure. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0010] In the following, one or more specific embodiments are described. In order to provide a concise description of these embodiments, not all features of an actual implementation are shown herein. As with any engineering or design project, it should be understood that in the development of any such practical implementation, numerous implementation-specific decisions must be made to achieve the developer's specific objectives, such as compliance with system-related and business-related constraints, which may vary from implementation to implementation. Moreover, it should be understood that such a development effort may be complex and time-consuming, but would nevertheless be a routine undertaking of design, fabrication, and manufacture for those of ordinary skill in the art having the benefit of this disclosure.

[0011] When introducing elements of various embodiments of the present disclosure, the articles "a," "an," and "the" mean that there are one or more elements. The terms "comprising," "including," and "having" are intended to be inclusive and mean that there may be additional elements other than the listed elements. Furthermore, it should be understood that references to "one embodiment" or "embodiments" of the present disclosure are not intended to be interpreted as excluding the existence of additional embodiments that incorporate the recited features. Furthermore, particular features, structures, or characteristics may be combined as appropriate in one or more embodiments. Use of the terms "approximately," "close," "about," "close to," and / or "substantially" should be understood to mean near a target (e.g., a design, value, amount), including within any reasonable or predictable tolerance of error (e.g., within 0.1% of a target, within 1% of a target, within 5% of a target, within 10% of a target, within 25% of a target, etc.). In addition, it should be understood that any exact values, numbers, measurements, etc. provided herein are intended to include approximations (e.g., within suitable or predictable tolerances of error) of the exact values, numbers, measurements, etc.

[0012] The present disclosure is directed to reducing phase noise in a voltage controlled oscillator (VCO), and more specifically, using an inductor located within the VCO. In particular, increasing the power consumption and / or quality factor of the inductor can reduce phase noise. The quality factor of an inductor is the ratio of the inductor's inductive reactance to its resistance at a given frequency, and is a measure of the inductor's efficiency. That is, the higher the quality factor of an inductor, the more likely it is to behave as an ideal inductor.

[0013] By designing the inductor to increase its power dissipation, a reduction in VCO phase noise can be achieved. To increase the power dissipation of an inductor, the inductance of the inductor should be reduced by decreasing the inner diameter of one or more coils in the inductor. However, as the inner diameter decreases, the quality factor of the inductor decreases, which may increase phase noise and negate the benefit of decreasing the inductance. Furthermore, assuming that the inductor has a series figure-8 (or shape-of-eight) topology to provide primary flux cancellation, decreasing the inner diameter of both figure-8 coils may lead to an even lower quality factor. As an example, if the two coils of a series figure-8 inductor have the same inductance, the total inductance of the inductor is the sum of the inductances of the two coils.

[0014] The disclosed embodiments provide an inductor topology that achieves reduced inductance and increased quality factor (e.g., compared to a series figure-8 configuration) to reduce phase noise while maintaining flux cancellation. In the disclosed parallel figure-8 inductor configuration, coils are placed in parallel to form an inductor with a total inductance approximately equal to half the inductance of each coil (assuming each coil has the same inductance). This is in contrast to the series figure-8 configuration, where two coils are placed in series to form an inductor whose total inductance is the sum of the inductances of each coil. Each coil of the proposed inductor can have a larger inductance and inner diameter with the parallel figure-8 inductor configuration (e.g., compared to a series figure-8 configuration), thus achieving an increased quality factor of the inductor. This reduced inductance and increased quality factor can result in reduced phase noise.

[0015] FIG. 1 is a block diagram of an electronic device 10 according to an embodiment of the present disclosure. The electronic device 10 may include, among other things, one or more processors 12 (collectively referred to herein as a single processor for convenience and which may be implemented in processing circuitry in any suitable manner), memory 14, non-volatile storage 16, display 18, input structures 22, input / output (I / O) interfaces 24, network interfaces 26, and power sources 29. The various functional blocks illustrated in FIG. 1 may include hardware elements (including circuitry), software elements (including machine-executable instructions), or a combination of both hardware and software elements (which may be referred to as logic). The processor 12, memory 14, non-volatile storage 16, display 18, input structures 22, input / output (I / O) interfaces 24, network interfaces 26, and / or power sources 29 may each be communicatively coupled to one another, directly or indirectly (e.g., via another component, a communication bus, a network), to transmit and / or receive data between one another. It should be noted that FIG. 1 is merely an example of a particular implementation and is intended to illustrate the types of components that may be present in electronic device 10.

[0016] By way of example, electronic device 10 may include any suitable computing device, including a desktop or notebook computer (e.g., in the form of a MacBook®, MacBook® Pro, MacBook Air®, iMac®, Mac® mini, or Mac Pro® available from Apple Inc., Cupertino, California), a portable or handheld electronic device, such as a wireless electronic device or smartphone (e.g., in the form of an iPhone® model available from Apple Inc., Cupertino, California), a tablet (e.g., in the form of an iPad® model available from Apple Inc., Cupertino, California), a wearable electronic device (e.g., in the form of an Apple Watch® available from Apple Inc., Cupertino, California). It should be noted that processor 12 and / or other related items in FIG. 1 may be generally referred to herein as “data processing circuitry.” Such data processing circuitry may be implemented in whole or in part as software, as hardware, or both. 1 may be a single housed processing module or may be incorporated in whole or in part within any of the other elements in electronic device 10. Processor 12 may be implemented with any combination of general purpose microprocessors, microcontrollers, digital signal processors (DSPs), field programmable gate arrays (FPGAs), programmable logic devices (PLDs), controllers, state machines, gate logic, separate hardware components, dedicated hardware finite state machines, or any other suitable entity capable of performing calculations or other manipulations of information. Processor 12 may include one or more application processors, one or more baseband processors, or both, and performs various functions described herein.

[0017] In the electronic device 10 of FIG. 1, the processor 12 is operatively coupled to the memory 14 and the non-volatile memory 16 and may execute various algorithms. Such programs or instructions executed by the processor 12 may be stored on any suitable article of manufacture, including one or more tangible computer-readable media. The tangible computer-readable media may include the memory 14 and / or the non-volatile storage 16, individually or collectively, for storing instructions or routines. The memory 14 and the non-volatile storage 16 may include any suitable article of manufacture for storing data and executable instructions, such as random access memory, read-only memory, rewritable flash memory, hard disks, and optical disks. Additionally, programs (e.g., operating systems) encoded on such computer program products may also include instructions that may be executed by the processor 12 to enable the electronic device 10 to provide various functions.

[0018] In certain embodiments, display 18 may enable a user to easily view images generated on electronic device 10. In some embodiments, display 18 may include a touch screen, which may enable a user to easily interact with a user interface of electronic device 10. It should be further understood that in some embodiments, display 18 may include one or more liquid crystal displays (LCDs), light emitting diode (LED) displays, organic light emitting diode (OLED) displays, active matrix organic light emitting diode (AMOLED) displays, or some combination of these and / or other display technologies.

[0019] An input structure 22 of electronic device 10 may allow a user to interact with electronic device 10 (e.g., pressing a button to increase or decrease a volume level). An I / O interface 24 may allow electronic device 10 to interface with various other electronic devices, such as a network interface 26. In some embodiments, I / O interface 24 may include an I / O port for a wired connection for charging and / or content manipulation using standard connectors and protocols, such as a Lightning connector provided by Apple Inc. (Cupertino, California), Universal Serial Bus (USB), or other similar connectors and protocols. The network interface 26 may include one or more interfaces, for example, for a personal area network (PAN), such as ultra-wideband (UWB) or Bluetooth®, for a local area network (LAN) or wireless local area network (WLAN) using one of the IEEE 802.11x protocol family (e.g., WI-FI®), and / or for a wide area network (WAN), such as any standard associated with the 3rd Generation Partnership Project (3GPP), including, for example, a third generation (3G) cellular network, a universal mobile communications system (UMTS), a fourth generation (4G) cellular network, a Long Term Evolution (LTE®), a Long Term Evolution Licensed Assisted Access (LTE-LAA) cellular network, a fifth generation (5G) cellular network, and / or a New Radio (NR) cellular network, satellite networks, etc. In particular, network interface 26 may include one or more interfaces for using the Release 15 cellular communications standard of the 5G specifications, which includes the millimeter wave (mm wave) frequency range (e.g., 24.25 to 300 gigahertz (GHz)), and / or any other cellular communications standard release that defines and / or enables a frequency range used for wireless communications (e.g., Release 16, Release 17, or any subsequent release).The network interface 26 of the electronic device 10 may enable communication over the aforementioned networks (e.g., 5G, Wi-Fi, LTE-LAA, etc.).

[0020] Network interface 26 may also include one or more interfaces for, for example, broadband fixed wireless access networks (e.g., WIMAX®), mobile broadband wireless networks (Mobile WIMAX®), asynchronous digital subscriber lines (ADSL, VDSL, etc.), Digital Video Broadcasting Terrestrial (DVB-T) and its extension DVB Handheld (DVB-H®) networks, ultra-wideband (UWB) networks, alternating current (AC) power lines, etc.

[0021] As shown, the network interface 26 may include a transceiver 30. In some embodiments, all or a portion of the transceiver 30 may be located within the processor 12. The transceiver 30 may support transmission and reception of various wireless signals via one or more antennas and may thus include a transmitter and a receiver. The transceiver 30 may further include an inductor, which may be coupled to any suitable circuitry of the transceiver 30 to reduce phase noise of the circuit. The power source 29 of the electronic device 10 may be any suitable power source, such as a rechargeable lithium polymer (Li-poly) battery and / or an alternating current (AC) power converter. In certain embodiments, the electronic device 10 may take the form of a computer, a portable electronic device, a wearable electronic device, or other types of electronic devices.

[0022] Figure 2 is a functional diagram of the electronic device of Figure 1, according to an embodiment of the present disclosure. As shown, the processor 12, memory 14, transceiver 30, transmitter 52, receiver 54, and / or antenna 55 (shown as 55A-55N and collectively referred to as antenna 55) may be communicatively coupled to each other directly or indirectly (e.g., via another component, a communication bus, or a network) to transmit and / or receive data between each other.

[0023] The electronic device 10 may include a transmitter 52 and / or a receiver 54 that respectively enable transmission and reception of data between the electronic device 10 and an external device, for example, via a network (including, for example, a base station) or a direct connection. As shown, the transmitter 52 and the receiver 54 may be combined into a transceiver 30. The electronic device 10 may also have one or more antennas 55A-55N electrically coupled to the transceiver 30. The antennas 55A-55N may be configured in an omni-directional or directional configuration, such as in a single beam, dual beam, or multi-beam arrangement. Each antenna 55 may be associated with one or more beams and various configurations. In some embodiments, multiple antennas of the antennas 55A-55N of an antenna group or module may be communicatively coupled to a respective transceiver 30 and each may emit radio frequency signals that may combine constructively and / or destructively to form a beam. The electronic device 10 may include multiple transmitters, multiple receivers, multiple transceivers, and / or multiple antennas suitable for various communication standards. In some embodiments, the transmitter 52 and receiver 54 may transmit and receive information via wires or other systems or means of telegraph lines.

[0024] As shown, the various components of electronic device 10 may be coupled together by a bus system 56. Bus system 56 may include a data bus or may also include, for example, a power bus, a control signal bus, and a status signal bus in addition to a data bus. The components of electronic device 10 may be coupled together or may receive or provide inputs to each other using some other mechanism.

[0025] As described above, the transceiver 30 of the electronic device 10 may include a transmitter and a receiver coupled to at least one antenna to enable the electronic device 10 to transmit and receive wireless signals. FIG. 3 is a block diagram of a transmitter 52 (e.g., a transmission circuit) that may be part of the transceiver 30, according to an embodiment of the present disclosure. As shown, the transmitter 52 may receive outgoing data 60 in the form of a digital signal that is transmitted via one or more antennas 55. A digital-to-analog converter (DAC) 62 of the transmitter 52 may convert the digital signal to an analog signal, which may be combined with a carrier signal by a modulator 63. A mixer 64 may change the frequency of the carrier signal via a voltage-controlled oscillator 66 (VCO). The VCO 66 is an oscillator whose oscillation frequency is controlled by a voltage. The VCO 66 may include one or more circuit components, such as one or more resistors, capacitors, inductors (including the inductors described herein that reduce phase noise in an input signal received by the VCO 66 to provide an output signal), transistors, diodes, etc. In some embodiments, VCO 66 may include a digitally controlled oscillator (DCO), which may refer to VCO 66 driven by a carrier signal provided by DAC 62.

[0026] A power amplifier (PA) 67 may receive the radio frequency signal from the mixer 64 and amplify the modulated signal to an appropriate level to drive transmission of the signal via one or more antennas 55. A filter 68 (e.g., filter circuitry and / or software) of the transmitter 52 may then remove undesired noise from the amplified signal to generate transmit data 70 to be transmitted via one or more antennas 55. The filter 68 may include any suitable filter or filters to remove undesired noise from the amplified signal, such as a bandpass filter, a bandstop filter, a lowpass filter, a highpass filter, and / or a decimation filter. In addition, the transmitter 52 may include any suitable additional components not shown, or may not include certain of the components shown, to enable the transmitter 52 to transmit the outgoing data 60 via one or more antennas 55. For example, the transmitter 52 may include additional mixers and / or digital upconverters (e.g., to convert the input signal from a baseband frequency to an intermediate frequency). As another example, transmitter 52 may not include filter 68 if power amplifier 67 outputs an amplified signal in a desired frequency range (such that filtering of the amplified signal may not be necessary).

[0027] FIG. 4 is a schematic diagram of a receiver 54 (e.g., a receiving circuit) that may be part of the transceiver 30, according to an embodiment of the present disclosure. As shown, the receiver 54 may receive receive data 80 in the form of an analog signal from one or more antennas 55. A low noise amplifier (LNA) 81 may amplify the received analog signal to an appropriate level for processing by the receiver 54. A mixer 82 may change the frequency of the amplified signal via a voltage controlled oscillator 84 (VCO). The VCO 84 may be the same as or similar to the VCO 66 of the transmitter 52 described above. A filter 85 (e.g., a filter circuit and / or software) may remove undesired noise, such as cross-channel interference, from the signal. The filter 85 may also remove additional signals at frequencies other than the desired signal received by the one or more antennas 55. The filter 85 may include any suitable filter or filters that remove undesired noise or signals from the received signal, such as a bandpass filter, a bandstop filter, a lowpass filter, a highpass filter, and / or a decimation filter. A demodulator 86 may remove the radio frequency envelope and / or extract a demodulated signal from the filtered signal for processing. An analog-to-digital converter (ADC) 88 may receive the demodulated analog signal and convert it to a digital signal of incoming data 90 for further processing by the electronic device 10. In addition, the receiver 54 may include any suitable additional components not shown, or may not include certain of the components shown, such that the receiver 54 can receive the incoming data 80 via one or more antennas 55. For example, the receiver 54 may include additional mixers and / or digital downconverters (e.g., for converting the input signal from an intermediate frequency to a baseband frequency).

[0028] The embodiments herein provide an inductor topology that reduces phase noise. In the parallel figure-8 inductor configuration of the present disclosure, two coils of an inductor are arranged in parallel, and the total inductance of the inductor is approximately half the inductance of each coil (when each coil has an equivalent inductance). With the parallel figure-8 inductor configuration, the inductance and inner diameter of each coil can be larger (e.g., compared to a series figure-8 inductor configuration), and therefore the quality factor of the inductor can be improved. That is, a series figure-8 inductor configuration may have two coils arranged in series, and thus the total inductance of the series figure-8 inductor can be the sum of the inductances of each coil. Thus, the parallel figure-8 inductor configuration can produce lower phase noise due to the reduced inductance and increased quality factor.

[0029] With the above in mind, and for comparison, FIG. 5 illustrates an inductor 100 with two coils in series in a figure-of-eight configuration. The first series coil 102 may have an inner diameter 104. The inner diameter 104 may be greater than 1 micrometer, such as between 5 micrometers and 80 micrometers, between 30 micrometers and 70 micrometers, between 40 micrometers and 60 micrometers, 45 micrometers, and / or 55 micrometers. The inner diameter 104 of the first series coil 102 may define an inductance L of the first series coil 102. The first series coil 102 may generate a magnetic flux 106 (e.g., in a positive direction along the z-axis, i.e., "out" of the page or paper of FIG. 5) when a current is applied to the first series coil 102 (e.g., in a counterclockwise direction 105). The first series coil 102 may be in series with the second series coil 108, and the second series coil 108 may be coupled to the first series coil 102 via a first junction 109 and a second junction 111. The second series coil 108 may receive current from the first series coil 102 via the first junction 109 and further complete the circuit via the second junction 111. Additionally, the second junction 111 may overlap the first junction 109 (e.g., be located above or on a different xy plane than the first junction 109 with respect to the z-axis), although in alternative embodiments the first junction 109 may overlap the second junction 111. The second junction 111 may be coupled to the first series coil 102 via a connection 115A. That is, the connection portion 115A may be disposed between the xy plane in which the first series coil 102 is disposed and the xy plane in which the second joint portion 111 is disposed, and / or may include these planes. Similarly, the second joint portion 111 may be coupled to the second series coil 108 via the connection portion 115B. That is, the second connection portion 115B may be disposed between the xy plane in which the second series coil 108 is disposed and the xy plane in which the second joint portion 111 is disposed, and / or may include these planes.

[0030] The second series coil 108 may have an inner diameter approximately the same as the inner diameter 104. Thus, the inner diameter 104 of the second series coil 108 may define the same inductance L as the first series coil 102. The second series coil 108 may generate a magnetic flux 113 that is equal in magnitude but opposite in direction (e.g., in a negative direction along the z-axis, i.e., "into" the page or plane of FIG. 5) to the magnetic flux 106 when a current is applied to the second series coil 108 (e.g., in a clockwise direction 107). The magnetic flux 106 of the first series coil 102 may be equal in magnitude and opposite in direction to the magnetic flux 113 of the second series coil 108. This may result in magnetic flux cancellation of the magnetic fluxes 106, 113 generated by the current passing through each coil. In some embodiments, the direction of the magnetic flux 106, 113 along the z-axis of the first series coil 102 and the second series coil 108 may be switched.

[0031] In some embodiments, the first series coil 102 and the second series coil 108 may be coupled to one or more circuit components (e.g., resistors, capacitors, additional inductors, transistors, diodes, etc.) of the VCO 66 of the transmitter 52, although in additional or alternative embodiments, the first series coil 102 and the second series coil 108 may be coupled to any other suitable components to reduce phase noise. For example, when the inductor 100 is coupled in series, the first circuit component may provide or output a current to the inductor 100 via the positive trace 110 (e.g., a positive pin or terminal), and that current may be transmitted to the second circuit component via the negative trace 112 (e.g., a negative pin or terminal). When the inductor 100 is coupled in parallel, the first circuit component and the second component may be a single component. The first series coil 102 may be directly coupled to the positive and negative traces 110 and 112 (e.g., without any intermediate circuitry or components between the first series coil 102 and the electronic components), while the second series coil 108 may not be directly coupled to the positive and negative traces 110 and 112. That is, the input 114 of the first series coil 102 may be coupled to the positive trace 110 and the output 116 may be coupled to the negative trace 112.

[0032] As mentioned above, it is desirable to reduce the phase noise of VCO 66 and / or VCO 84. The phase noise, expressed in decibels relative to the carrier (dBc) per Hertz (Hz), may be determined using Equation 1 below, as dBc / Hz.

number

[0033] Equation 1 is based on the Coulomb constant (K), temperature (T), and quality factor (Q t or Q), the value of power consumption (P DC ), current and voltage efficiencies (α I and α V), the noise factor of the transistor (γ), the center frequency (ω0), and the offset frequency (Δω). Of these factors, the quality factor (Q) and P DC can be reasonably modified to reduce the phase noise. Thus, by increasing the quality factor (Q), P DC Reducing φ can reduce the phase noise overall.

[0034] P DC Increasing the inner diameter 104 of the inductor 100 may reduce the inductance L of the inductor 100. The inductance of the inductor 100 is directly correlated to the inner diameter 104 of the inductor 100; that is, as the inner diameter 104 becomes smaller, the inductance decreases. Due to the series topology of the inductor 100, the total inductance of the inductor 100 is the sum of the inductance of the first series coil 102 and the inductance of the second series coil 108. Thus, decreasing the inner diameter 104 (e.g., of one or both coils) can lower the total inductance of the inductor 100, thereby decreasing P DC , which may reduce phase noise. However, as the inner diameter 104 decreases, the quality factor (Q) of the inductor 100 also decreases. This may result in higher phase noise overall.

[0035] With the above in mind, FIG. 6 illustrates an inductor 120 having two coils in parallel in a figure-of-eight configuration, according to an embodiment of the present disclosure. The first coil 122 may have an inner diameter 124. The inner diameter 124 of the first coil 122 may define an inductance L of the first coil 122. The inner diameter 124 may be greater than 1 micrometer, such as between 5 micrometers and 150 micrometers, between 30 micrometers and 120 micrometers, between 50 micrometers and 100 micrometers, between 60 micrometers and 90 micrometers, and / or between 70 micrometers and 85 micrometers. For example, the inner diameter 124 may be approximately 100 micrometers. When a current is applied by the positive trace 110, the current may travel (e.g., in a counterclockwise direction 123) through the first coil 122 and return through a circuit path or shared branch 129 (e.g., bisecting the inductor 120) to generate a magnetic flux 125 (e.g., in a positive direction along the z-axis, i.e., "out" of the plane or page of FIG. 6). The first coil 122 may be symmetrically positioned opposite the second coil 128 with respect to the shared branch 129.

[0036] The second coil 128 may have an inner diameter approximately the same as the inner diameter 124. Thus, the inner diameter 124 of the second coil 128 may provide the same inductance L as the first coil 122. When a current is applied by the positive trace 110, the current may also travel through the second coil 128 (e.g., in a clockwise direction 126 and approximately simultaneously or contemporaneously with the current traveling through the first coil 122) and return through the shared branch 129, generating a magnetic flux 127 having the same magnitude but in the opposite direction (e.g., in the negative direction along the z-axis, i.e., "into" the page or plane of FIG. 6) as the magnetic flux 125 when the current was applied to the first coil 122. This may result in magnetic flux cancellation of the magnetic fluxes 125, 127 generated by the current traveling through each coil 122, 128, respectively. In some embodiments, the direction of the current and therefore the magnetic flux 125, 127 along the z-axis in the first coil 122 and the second coil 128 may be swapped. In alternative embodiments, the second coil 128 may have an inner diameter different from the inner diameter 124. This will cause the second coil 128 to generate a magnetic flux having a different magnitude than the magnetic flux 127 when a current is applied, although additional circuitry or components may be used to create a magnetic flux that compensates for the difference in the magnetic flux generated by each coil 122, 128.

[0037] In some embodiments, the first coil 122 and the second coil 128 may be directly coupled (without any intermediate circuitry or components) to the positive trace 110 and the negative trace 112. When the inductor 120 is coupled in series, the positive trace 110 may be coupled to a first circuit component and the negative trace 112 may be coupled to a second circuit component. In particular, the first circuit component may provide an input signal having a current via the positive trace 110 to the inductor 120, which may reduce phase noise of the input signal to generate an output signal at the negative trace 112 to the second circuit component. When the inductor 120 is coupled in parallel, the first circuit component and the second component may be a single component.

[0038] The first coil 122 and the second coil 128 may be coupled to the positive trace 110 at a shared input 130, and the first coil 122 and the second coil 128 may further be coupled to the negative trace 112 at a shared output 132. The shared input 130 of the first coil 122 and the second coil 128 may include a connection 138A that couples to the first coil 122 and the second coil 128. That is, the connection 138A may be located between and / or include an xy plane in which the first coil 122 is located and an xy plane in which the second coil 128 is located. The shared output input 132 may include a connection 138B that couples to the first coil 122 and the second coil 128. That is, the connection 138B may be located between and / or include the xy plane in which the first coil 122 is located and the xy plane in which the second coil 128 is located. That is, the input 130 and the output 132 are shared between the first coil 122 and the second coil 128. From the shared input 130, the current may be branched or split to each coil 122, 128. The current may rejoin at the shared output 132 via the shared branch 129 and couple to the negative trace 112. The second coil 128 may receive current from the input 130 via a junction 134 located below (e.g., on an xy plane with a larger z value than junction 136) the junction 136 that couples the shared branch 129 to the negative trace 112, although in some embodiments the second coil 128 may be located above (e.g., on an xy plane with a larger z value than junction 136). The junction 134 may be coupled to the second coil 128 via a connection 138C. That is, the connection 138C may be disposed between and / or include an xy plane in which the second coil 128 is disposed and an xy plane in which the junction 134 is disposed. The first coil 122 may be described as being "parallel" to the second coil 128 because current enters the coils 122, 128 from the positive trace 110, travels through the coils 122, 128, and exits the coils 122, 128 at approximately the same time (e.g., approximately the same time) from the shared branch 129 and the negative trace 112.

[0039] As shown, at least a portion of each of the first coil 122 and the second coil 128 may include an octagonal shape. For example, the octagonal shaped portion of each of the first coil 122 and the second coil 128 may have six 135° angles between seven sides, one of the seven sides (part of the shared branch 129) forming a first line and another of the seven sides (the one closest to the shared input 130) forming a second line that intersects the first line (e.g., at a 90° angle). In practice, each coil 122, 128 may have a total of seven sides.

[0040] To further illustrate the topology of the inductor 120 with two coils in parallel, Figures 7A and 7B show the inductor 120 of Figure 6 in three dimensions, according to an embodiment of the present disclosure. Figure 7A is a top view of the inductor 120. As shown, the connection 131 of the first coil 122 to the input 130 is routed on a first xy plane that is located above (e.g., has a larger z value than) the junction 134 of the second coil 128 to the input 130. In particular, the connection 131 of the first coil 122 to the input 130 may be at the same level or on the same xy plane as the junction 136 that couples the shared branch 129 to the negative trace 112. In additional or alternative embodiments, the junction 134 of the second coil 128 to the input 130 may be located below (e.g., on an xy plane with a smaller z value than) the connection 131 and junction 136 of the first coil 122 to the input 130. Additionally, the shared branch 129 may join the currents from each coil 122, 128 to the output 132 at a junction 144 at the same level or along the xy plane as the junction 136 connecting the shared branch 129 to the negative trace 112, and above (e.g., more positive along the z-axis than junction 134) the junction 134 from the second coil 128 to the input 130. Thus, the first coil 122 and the second coil 128 may be configured such that the connection 131 of the first coil 122 to the input 130 overlaps the junction 136 connecting the shared branch 129 to the negative trace 112. Additionally, as shown, the shared branch 129 overlaps the junction 136.

[0041] Additionally, the metal of the inductor 120 may have a thickness greater than 0.1 micrometer, such as 0.1 micrometer to 10 micrometers, 0.5 micrometer to 5 micrometers, 1 micrometer to 4 micrometers, 2.5 micrometer to 3.8 micrometers, and / or 3 micrometer to 3.7 micrometers, suitable for carrying current and reducing the height of the inductor 120 to better fit within the electronic device 10. Additionally, the metal of the connection 131 of the input 130 of the second coil 128 may have a thickness greater than 0.01 micrometer, such as 0.01 micrometer to 2.5 micrometers, 0.1 micrometer to 1.5 micrometers, 0.25 micrometer to 1 micrometer, and / or 0.5 micrometer to 0.8 micrometers, suitable for carrying current and reducing the height of the inductor 120 to better fit within the electronic device 10. Additionally, the metal of the connection of input 130 of second coil 128 located at junctions 134 and 136 may have a thickness greater than 0.01 micrometers, such as 0.01 micrometers to 2.5 micrometers, 0.1 micrometers to 1.5 micrometers, 0.25 micrometers to 1 micrometer, and / or 0.7 micrometers to 0.9 micrometers, suitable for conducting current and allowing junctions 134 and 136 to be stacked on top of one another without excessively increasing the height of inductor 120. In some embodiments, the metal of inductor 120 may be replaced with any suitable conductive material.

[0042] 5, the first series coil 102 and the second series coil 108 of the inductor 100 are in series with each other. As such, the total inductance L of the inductor 100 may be the sum of the inductances of both coils. In contrast, in the topology of the inductor 120 of FIG. 6, the inputs and outputs of the first coil 122 and the second coil 128, respectively, may be directly (e.g., without any intervening components or circuitry) coupled to the positive and negative traces 110 and 112 such that the first coil 122 and the second coil 128 are in parallel with each other, such that the inductance of the inductor 120 may be determined using Equation 2 below:

number

[0043] Equation 2 may define the total inductance of the inductor 120, the inductance L1 of the first coil 122, and the inductance L2 of the second coil 128. When the inductances (L1) and (L2) of the first coil 122 and second coil 128 are equivalent, the layer inductance L of the inductor 120 may be expressed as: TOTAL may be approximately half the inductance of one of the coils.

[0044] The parallel figure-eight configuration of inductor 120 may avoid the drawbacks of other inductor configurations that do not use two coils in parallel. For example, if the inputs of the two coils are tied together through a first resistor and the outputs of the two coils are tied together through a second resistor, the two coils would be too far away from each other to provide sufficient flux cancellation of the magnetic flux generated by the currents traveling in each coil. However, both coils may be tied to a single high speed capacitor bank, where the input and output of each coil are connected together.

[0045] In another configuration, the two coils may be located close to each other, but with the input and output of each coil facing in opposite directions. Thus, the two coils may not be coupled together. The proximity of the two coils provides adequate flux cancellation of the magnetic flux generated by the currents traveling in each coil. However, each coil may receive power from its respective high-speed capacitor bank asynchronously with each other. For proper induction and performance of the inductor, the high-speed capacitor banks may need to be synchronized with each other. In comparison, the parallel figure-eight configuration of the inductor 120 avoids the disadvantages inherent in these configurations by its topology.

[0046] With the above in mind, FIG. 8 is a plot 150 illustrating inductances 152 and 154 of the inductor 100 of FIG. 5 and inductances 156 and 158 of the inductor 120 of FIG. 6 in accordance with an embodiment of the present disclosure. As shown in plot 150, the x-axis represents frequency (GHz) and the y-axis represents inductance in henries (H). Inductance 152 corresponds to the total inductance of inductor 100 at 125° C. (Celsius), inductance 154 corresponds to the total inductance of inductor 100 at 55° C., inductance 156 corresponds to the total inductance of inductor 120 at 125° C., and inductance 158 corresponds to the total inductance of inductor 120 at 125° C. As shown, inductances 152, 154, 156, 158 generally increase as the corresponding frequency increases. Notably, at a particular frequency 151, the inductances of inductor 100 and inductor 120 may be comparable. In one example, when that particular frequency 151 is approximately equal to about 25.00 GHz, inductances 152 and 154 may be 106.9128 picohenries (pH) and 106.3418 pH, respectively, and inductances 156 and 158 may be 102.9843 pH and 102.5915 pH, respectively.

[0047] Figure 9 is a plot 160 illustrating quality factors 162 and 164 of the inductor 100 of Figure 5 and quality factors 166 and 168 of the inductor 120 of Figure 6 in accordance with an embodiment of the present disclosure. As shown in plot 160, the x-axis represents frequency (GHz) and the y-axis represents quality factor (Q). Plot 160 further illustrates quality factor 162 of inductor 100 at 125°C, quality factor 164 of inductor 100 at 55°C, quality factor 166 of inductor 120 at 125°C, and quality factor 168 of inductor 120 at 55°C, each illustrating temperature variations and sensitivity affecting the quality factor.

[0048] At a certain frequency 161, the quality factors 166 and 168 of the inductor 120 are greater than the quality factors 162 and 164 of the inductor 100. In one example, when the certain frequency 161 is approximately equal to 25.00 GHz, the quality factors 166 and 168 of the inductor 120 are 27.2649 and 23.9551, respectively, and the quality factors 162 and 164 of the inductor 100 are 20.0021 and 17.5877, respectively. Referring back to FIG. 7, both the inductor 100 and the inductor 120 have similar inductance at 25.00 GHz. Thus, the parallel coil configuration of the inductor 120 may achieve a higher overall quality factor while achieving a similar inductance, resulting in a greater reduction in phase noise (e.g., as evident from Equation 1 above).

[0049] In some embodiments, alternative configurations of parallel coil configurations may be implemented within the transceiver 30. For example, FIG. 10 illustrates an alternative configuration of a parallel inductor 170, according to an embodiment of the present disclosure. A first coil 172 of the inductor 170 may have an inner diameter 174. The inner diameter 174 of the first coil 172 may define an inductance L of the first coil 172. When a current is applied to the first coil 172 from the positive trace 110 (e.g., in a counterclockwise direction 173), the first coil 172 may generate a magnetic flux 175 (e.g., in a positive direction along the z-axis, i.e., "out" of the plane or page of FIG. 10). The current may then return to the negative trace 112 through a shared branch 179. The first coil 172 may be symmetrically positioned opposite the second coil 178 relative to the shared branch 179.

[0050] The second coil 178 may have an inner diameter approximately the same as the inner diameter 174. Thus, the inner diameter 174 of the second coil 178 may define the same inductance L as the first coil 172. When current is applied to the second coil 178 from the positive trace 110 (e.g., in a clockwise direction 176), the second coil 178 may generate a magnetic flux 177 (e.g., in a negative direction along the z-axis, i.e., "into" the page or plane of FIG. 10). The current may then return through the shared branch 179. The magnetic flux 175 of the first coil 172 may be equal in magnitude and opposite in direction to the magnetic flux 177 of the second coil 178. This may result in magnetic flux cancellation of the magnetic fluxes 175, 177 generated by each coil. In some embodiments, the directions of the magnetic fluxes 175, 177 along the z-axis of the first coil 172 and the second coil 178, respectively, may be swapped. In alternative embodiments, second coil 178 may have an inner diameter different from inner diameter 174. This may cause second coil 178 to generate a different magnetic flux than magnetic flux 175, although additional circuitry or components may compensate for the difference in magnetic flux generated by each coil.

[0051] In some embodiments, the first coil 172 and the second coil 178 may be directly coupled (without any intermediate circuitry or components) to the positive trace 110 and the negative trace 112. When the inductor 170 is coupled in series, the positive trace 110 may be coupled to a first circuit component and the negative trace 112 may be coupled to a second circuit component. In particular, the first circuit component may provide an input signal having a current via the positive trace 110 to the inductor 170, which may reduce phase noise of the input signal to generate an output signal at the negative trace 112 to the second circuit component. When the inductor 170 is coupled in parallel, the first circuit component and the second component may be a single component.

[0052] As shown in Figure 10, the first input branch 180A of the first coil 172 and the second input branch 180B of the second coil 178 are each separately coupled to the positive trace 110. That is, each coil 172, 178 has a direct and independent connection to the positive trace 110 (e.g., without any intervening or intermediate circuitry or components). This is in contrast to the configuration of the inductor 120 in Figure 6, which uses a shared input 130 to couple the first coil 122 and the second coil 128 to the positive trace 110. The input branches 180A, 180B of each coil 172, 178 may be coextensive with, aligned with, or parallel to the shared branch 179.

[0053] In some embodiments, the positive electrode trace 110 may be disposed below the input branches 180A and 180B (e.g., below or above an xy plane having a smaller z value than those branches). The positive electrode trace 110 may be coupled to the input branches 180A and 180B via connections 186A and 186B, respectively. That is, the connection 186A may be disposed between and / or include the xy plane in which the input branch 180A is disposed and the xy plane in which the positive electrode trace 110 is disposed. Similarly, the connection 186B may be disposed between and / or include the xy plane in which the input branch 180B is disposed and the xy plane in which the positive electrode trace 110 is disposed.

[0054] As a result of each coil 172, 178 having a direct and independent connection (e.g., input branch 180A, 180B) to the positive trace 110, an input signal having the form of an alternating current (AC) voltage wave received from the positive trace 110 may be split into two AC voltage waves, each traveling along a respective input branch 180A, 180B. Splitting the input signal in this manner may result in the two split AC voltage waves traversing the input branches 180A, 180B being out of phase with each other due to, for example, practical imperfections (e.g., input branches 180A, 180B not having exactly the same dimensions, material composition, environmental conditions, etc. due to manufacturing imperfections). This may create signal modulation problems, signal-to-noise ratio maximization problems, or other signal processing challenges for the circuitry coupled to the output of the inductor 170. To reduce or eliminate this phase shift, each of the input branches 180A, 180B of each coil 172, 178 may be coupled together with a coupler 184 to ensure that the signals (e.g., AC voltage waveforms) of each input branch 180A, 180B are in phase with each other. As shown, the coupler 184 may be orthogonal or intersecting with the shared branch 179. That is, the transverse axis of the coupler 184 may be orthogonal or intersecting with the transverse axis of the shared branch 179. The coupler 184 may be located below the connection 181 of the first coil 172 to the input 180 (e.g., below or above the xy plane having a smaller z value than the connection 181). The coupler 184 may be connected to the first coil 172 via a connection 186C. That is, the connection 186C may be located between the xy plane in which the coupler 184 is located and the xy plane in which the first coil 172 is located. Similarly, coupler 184 may be located below connection 185 of second coil 178 to input 180 (e.g., below or above the xy plane with a smaller z value than connection 185). Coupler 184 may be connected to second coil 178 via connection 186D. That is, connection 186D may be located between the xy plane in which coupler 184 is located and the xy plane in which second coil 178 is located.

[0055] Additionally, the first coil 172 and the second coil 178 may be coupled to the negative electrode trace 112 at a shared output 182. That is, the output 182 is shared between the first coil 172 and the second coil 178. In some embodiments, the negative electrode trace 112 may be disposed below the shared output 182 (e.g., below or above an xy plane having a smaller z value than the shared output 182). The negative electrode trace 112 may be coupled to the shared output 182 via a connection 186E. That is, the connection 186E may be disposed between and / or include the xy plane in which the shared output 182 is disposed and the xy plane in which the negative electrode trace 112 is disposed.

[0056] From the inputs 180 of the first coil 172 and the second coil 178, current may travel through the first coil 172 and the second coil 178. As previously described in some embodiments, current may travel from only one input 180 of either the first coil 172 or the second coil 178 through the coupler 184 to the opposite coil. In either case, the current may rejoin at the shared output 182 via the shared branch 179 and travel to the negative trace 112. The first coil 172 may be described as being "parallel" to the second coil 178 because the current enters the coils 172, 178 from the positive trace 110, travels through the coils 172, 178, and exits the coils 172, 178 at approximately the same time (e.g., at approximately the same time) through the shared output 182 via the shared branch 179 and the negative trace 112.

[0057] As shown, at least a portion of each of the first coil 172 and the second coil 178 may include an octagonal shape. For example, the octagonal shaped portion of each of the first coil 172 and the second coil 178 may have six 135° angles between seven sides, one of the seven sides (part of the shared branch 179) forming a first line and another of the seven sides (the one closest to the input branches 180A, 180B) forming a second line that intersects the first line (e.g., at a 90° angle). In practice, each coil 172, 178 may have a total of seven sides.

[0058] To further illustrate the configuration of the inductor 170 with two coils in parallel, FIGS. 11A and 11B show the inductor 170 of FIG. 10 in three dimensions, according to an embodiment of the present disclosure. FIG. 11A shows a top view of the inductor 170, and FIG. 11B shows a bottom view of the inductor 170. The connection 181 of the first coil 172 to the input 180 overlaps the coupler 184 (e.g., above or on the xy plane with a larger z value than the coupler 184). In particular, the connection 181 of the first coil 122 to the input 130 may be at the same level or on the xy plane as the connection 185 of the second coil 178 to the input 180 and the shared branch 179 where the first coil 172 and the second coil 178 converge. The coupler 184 may couple the inputs 180 of each coil 172, 178 and provide current from the positive trace 110 to the input 180. Thus, the first coil 172 and the second coil 178 may be configured such that the connection 181 of the first coil 172 to the input 180, the connection 185 of the second coil 178 to the input 180, and the shared branch 179 each overlap the coupler 184.

[0059] Additionally, the metal of inductor 170 may have a thickness greater than 0.1 micrometer, such as 0.1 micrometer to 10 micrometers, 0.5 micrometer to 5 micrometers, 1 micrometer to 4 micrometers, 2.5 micrometer to 3.8 micrometers, and / or 3 micrometer to 3.7 micrometers, suitable for carrying current and reducing the height of inductor 170 to better fit within electronic device 10. The metal of coupler 184 may have a thickness greater than 0.01 micrometer, such as 0.01 micrometer to 2.5 micrometers, 0.1 micrometer to 1.5 micrometers, 0.25 micrometer to 1 micrometer, and / or 0.5 micrometer to 0.8 micrometers. The metal of inductor 170 may include or be replaced by any suitable conductive material.

[0060] It should be understood that the specific embodiments described above are shown by way of example, and that these embodiments may be susceptible to various modifications and alternative forms. It is further to be understood that the claims are not limited to the particular forms disclosed, but rather are intended to cover all modifications, equivalents, and alternatives falling within the spirit and intent of this disclosure.

[0061] The technology presented and claimed herein is applied with reference to tangible objects and specific examples of a practical nature that clearly advance the art, and is therefore not abstract, insubstantial, or merely theoretical. Moreover, where any of the claims appended at the end of this specification contain one or more elements recited as "means for [performing] ___ [function]" or "step for [performing] ___ [function]," it is intended that such elements are to be construed in accordance with 35 U.S.C. 112(f). However, with respect to any of the claims that contain elements recited in any other manner, it is not intended that such elements are to be construed in accordance with 35 U.S.C. 112(f).

[0062] It is understood that use of personally identifiable information should comply with privacy policies and practices generally recognized as meeting or exceeding industry or government requirements for maintaining user privacy. In particular, personally identifiable information data should be managed and handled in a manner that minimizes the risk of unintended or unauthorized access or use, and the nature of permitted uses should be clearly indicated to users.

Claims

1. Shared branching and a first coil coupled to the shared branch, the first coil configured to direct a first portion of current from a first input branch to the shared branch in a first rotational direction; a second coil coupled to the shared branch, the second coil configured to direct a second portion of the current from a second input branch to the shared branch in a second rotational direction opposite to the first rotational direction; a coupler coupling the first input branch to the second input branch.

2. a first terminal coupled to the first input branch and configured to receive the first portion of the current; a second terminal coupled to the first input branch and configured to receive the second portion of the current; The inductor of claim 1 , wherein the shared branch is configured to generate an output current based on the first portion of the current and the second portion of the current.

3. The inductor of claim 1 , wherein the first input branch and the second input branch are both coupled to a circuit configured to supply the current.

4. the shared branch is coupled to a circuit; The inductor of claim 1 , wherein the shared branch is configured to mix the first portion of the current and the second portion of the current and provide the mixed current to the circuit.

5. the first rotational direction is a counterclockwise direction; The inductor of claim 1 , wherein the second rotational direction is a clockwise direction.

6. The inductor of claim 1 , wherein the first coil and the second coil have the same diameter.

7. the first input branch and the second input branch are coextensive with the shared branch; The inductor of claim 1 , wherein the shared branch overlaps the coupler.

8. the first coil, the second coil, and the shared branch are disposed on a first plane; The inductor of claim 1 , wherein the coupler is disposed on a second plane.

9. The inductor of claim 1 , wherein the coupler is configured to reduce phase noise generated by the first portion of the current and the second portion of the current.

10. one or more antennas; a transceiver coupled to the one or more antennas, The transceiver includes: Shared branching and a first coil coupled to the shared branch, the first coil configured to direct a first portion of current from a first input branch to the shared branch in a first rotational direction; a second coil coupled to the shared branch, the second coil configured to direct a second portion of the current from a second input branch to the shared branch in a second rotational direction opposite to the first rotational direction; and a coupler coupling the first input branch to the second input branch.

11. the first coil has a first inductance; the second coil has a second inductance; The electronic device of claim 10 , wherein the first inductance is equal to the second inductance.

12. The electronic device of claim 11 , wherein the inductor has a total inductance equal to half the first inductance or the second inductance.

13. the first coil is configured to generate a first magnetic field and the second coil is configured to generate a second magnetic field when the current is applied to the first coil and the second coil; The electronic device of claim 10 , wherein the first magnetic field is in an opposite direction to the second magnetic field.

14. the first coil has a first diameter; The electronic device of claim 10 , wherein the second coil has a second diameter equal to the first diameter.

15. The electronic device of claim 10 , wherein the first coil and the second coil each have seven sides.

16. one of the seven edges comprises the shared branch; The electronic device of claim 15 , wherein the shared branch joins the first coil and the second coil.

17. A first coil; A second coil; a shared circuit path coupled to the first coil and the second coil, the first coil is configured to direct a first portion of current from a first input branch to the shared circuit path in a first rotational direction and has a first diameter; the second coil is configured to direct a second portion of the current from a second input branch to the shared circuit path in a second rotational direction opposite to the first rotational direction, and has a second diameter equal to the first diameter.

18. 20. The voltage controlled oscillator of claim 17, wherein the first diameter and the second diameter are each equal to or greater than 40 μm.

19. the first coil and the second coil are configured to receive a first signal from a first circuit component; 20. The voltage controlled oscillator of claim 17, wherein the shared circuit path is configured to generate a second signal having less phase noise than the first signal.

20. 20. The voltage controlled oscillator of claim 19, wherein the shared circuit path is configured to output the second signal to a second circuit component.

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