A first-order asymptotic approximation method for envelope analysis of driving RF circuits

Abstract

A first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit comprises the following steps: setting modulation signal parameters in the driving circuit equation to obtain a corresponding parameter-containing equation; periodizing the modulation signal parameters; calculating a periodic steady-state solution to the parameter-containing equation on a periodized uniform grid; using a non-uniform fast Fourier transform to calculate the values ​​of the periodic steady-state solution at the non-uniform grid points; and outputting simulation results. The first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit disclosed herein has controllable accuracy and excellent operating speed, and can provide reliable calculation results for envelope analysis problems in driving radio frequency circuits.

Description

Technical Field

[0001] The present invention relates to the technical field of integrated circuit automated product design, and in particular to a driving radio frequency circuit simulation method in integrated circuit design. Background Art

[0002] Wireless communication technology has developed rapidly in recent years, and wireless products are widely used in various fields of life. RFIC design is one of the most core tasks in wireless communication system design. RFIC design is inseparable from the assistance of EDA software. To improve the performance of RFIC products and shorten their development cycle, high-precision and high-efficiency EDA RF simulation algorithms are indispensable.

[0003] Due to the complexity of RFICs, traditional transient analysis methods often require extensive computational effort. Simulation methods developed specifically for RFIC design include harmonic balance, shooting methods, and envelope simulation. Generally speaking, these methods still result in large matrices, making computation and convergence difficult, and failing to achieve the required accuracy and efficiency.

[0004] In RF circuits, there are often high-frequency carriers and slowly changing modulating signals, and the speed of change between the two is often hundreds or thousands of orders of magnitude different. A driven RF circuit is an RF circuit whose circuit equation explicitly contains time and the frequency and period of the carrier are known. Its circuit equation is as follows: The method proposed in the present invention is suitable for simulating driving radio frequency circuits. Summary of the Invention

[0005] In order to address the deficiencies in the prior art, the purpose of the present invention is to provide a first-order asymptotic approximation method for envelope analysis of driving RF circuits, which has controllable accuracy and excellent operating speed and can provide reliable calculation results for the envelope analysis problem of driving RF circuits.

[0006] To achieve the above object, the present invention provides a first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit, comprising the following steps:

[0007] Set the modulation signal parameters in the driving circuit equation to obtain the corresponding parameter-containing equation;

[0008] Periodizing the modulation signal parameters;

[0009] The periodic steady-state solutions of the parametric equations are calculated on a periodic uniform grid;

[0010] Use non-uniform fast Fourier transform to calculate the periodic steady-state solution on the non-uniform grid;

[0011] Output simulation results.

[0012] Furthermore, the step of setting the modulation signal parameters in the driving circuit equation to obtain the corresponding parameter-containing equation also includes: The modulation signal function b(t) explicitly including time is rewritten as parameter b, and the parameter equation is obtained Where x=x(t) is the solution of the circuit equation, i.e., the simulation result; t represents time; represents the derivative of x(t) with respect to time t.

[0013] Furthermore, the step of periodizing the modulation signal parameters further includes:

[0014] Take an upper bound L of the absolute value of the modulation signal function b(t), change the parameter b to the periodic parameter θ, satisfying b = Lcosθ, and obtain the periodic parameter equation

[0015] Furthermore, the step of calculating the periodic steady-state solution of the parameter-containing equation on the periodic uniform grid also includes:

[0016] Given the period T of the carrier and the period 2π of the parameter θ, a uniform (t, θ) grid is taken on the area [0, T] × [0, 2π], that is, the step size in the t direction and the θ direction is a constant. On this grid, solve the parameter equation A family of periodic steady-state solutions φ(t,θ).

[0017] Furthermore, the step of using non-uniform fast Fourier transform to calculate the value of the periodic steady-state solution on the non-uniform grid also includes:

[0018] According to the obtained values ​​of φ(t, θ) on the uniform grid, the values ​​of φ(t, θ) at the non-uniform grid points (t, cos -1 (b(t) / L)), where t is the time point to be solved, cos -1 (b(t) / L) is the corresponding coordinate value of (t,b(t)) in the (t,θ) grid.

[0019] Furthermore,

[0020] The number of grid points required for a uniform periodic grid is smaller than that for a non-uniform grid.

[0021] Furthermore, the step of outputting the simulation results further includes:

[0022] Output simulation result x(t)=φ(t, cos -1 (b(t) / L)).

[0023] To achieve the above-mentioned purpose, the present invention also provides an electronic device, including a memory and a processor, wherein the memory stores a program running on the processor, and when the processor runs the program, the steps of the first-order asymptotic approximation method of envelope analysis of the driving radio frequency circuit are executed.

[0024] To achieve the above objectives, the present invention also provides a computer-readable storage medium having computer instructions stored thereon, which, when executed, execute the steps of the above-mentioned first-order asymptotic approximation method for envelope analysis of driving radio frequency circuits.

[0025] The first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit of the present invention has the following beneficial effects:

[0026] 1) Reduce the computational scale of simulation: Traditional simulation methods must be performed within the time scale of the modulated signal, but the step size needs to be selected based on the time scale of the carrier, which leads to a huge computational scale. The first-order asymptotic approximation method for envelope analysis of the driving RF circuit proposed in this method only needs to calculate the values ​​of a family of periodic steady-state solutions on a coarser grid, and then interpolate them, which greatly reduces the computational scale.

[0027] 2) Controllable accuracy: The first-order asymptotic approximation method for envelope analysis of the driving RF circuit proposed in this method has been proven to have first-order simulation accuracy for the ratio of the modulation signal frequency to the carrier frequency through rigorous mathematical derivation and simulation experiments.

[0028] Other features and advantages of the present invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the present invention. BRIEF DESCRIPTION OF THE DRAWINGS

[0029] The accompanying drawings are used to provide a further understanding of the present invention and constitute a part of the specification. Together with the embodiments of the present invention, they are used to explain the present invention and do not constitute a limitation of the present invention. In the accompanying drawings:

[0030] Figure 1 The present invention is a flowchart of the first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit. DETAILED DESCRIPTION

[0031] The preferred embodiments of the present invention are described below with reference to the accompanying drawings. It should be understood that the preferred embodiments described herein are only used to illustrate and explain the present invention, and are not used to limit the present invention.

[0032] Figure 1The flow chart of the first-order asymptotic approximation method for envelope analysis of the driving radio frequency circuit according to the present invention will be referred to below. Figure 1 , the first-order asymptotic approximation method for envelope analysis of the driving RF circuit of the present invention is described in detail.

[0033] In step 101, the modulation signal in the driving circuit equation is regarded as a parameter to obtain a corresponding parameter-containing equation.

[0034] Preferably, a circuit simulation is performed and the driving circuit equation is The modulation signal function b(t) explicitly including time is rewritten as a parameter b, and the parameter equation is obtained

[0035] In this embodiment, is the equation describing the circuit; where x=x(t) is the solution of the circuit equation, i.e., the simulation result; t represents time; represents the derivative of x(t) with respect to time t.

[0036] In step 102, the modulation signal parameters are periodized.

[0037] Preferably, an upper bound L of the absolute value of the modulation signal function b(t) is taken, and the parameter b is further changed to a periodic parameter θ, satisfying b = Lcosθ, thereby obtaining a periodic parameter equation

[0038] In step 103, a periodic steady-state solution of the parameter-containing equation is calculated on a periodic uniform grid.

[0039] Preferably, given the period T of the carrier and the period 2π of the parameter θ, a uniform (t, θ) grid is taken on the region [0, T] × [0, 2π], i.e., the step lengths in the t direction and the θ direction are each a constant value. On this grid, the parameter equation is solved A family of periodic steady-state solutions φ(t,θ).

[0040] In step 104, the values ​​of the periodic steady-state solution on the non-uniform grid points are calculated using a non-uniform fast Fourier transform.

[0041] Preferably, according to the value of φ(t, θ) on the uniform grid obtained in step 103, the value of φ(t, θ) at the non-uniform grid point (t, cos -1 (b(t) / L)), where t is the time point to be solved, cos -1 (b(t) / L) is the corresponding coordinate value of (t,b(t)) in the (t,θ) grid.

[0042] Preferably, the number of grid points required for the uniform periodic grid is much smaller than the number of non-uniform grid points.

[0043] In step 105, the simulation results are output and the simulation ends.

[0044] Preferably, the output simulation result x(t)=φ(t, cos -1 (b(t) / L)).

[0045] The present invention provides a first-order asymptotic approximation method for envelope analysis of driving radio frequency circuits in integrated circuit automation products. The method has controllable accuracy and excellent operating speed, and can provide reliable calculation results for the envelope analysis problem of driving circuits.

[0046] The present invention reduces the solution scale of radio frequency integrated circuit simulation problems and improves calculation efficiency, while providing controllable accuracy and shortening the overall design cycle of radio frequency integrated circuits.

[0047] The present invention also provides a first-order asymptotic approximation device for envelope analysis of a driving radio frequency circuit, comprising a memory and a processor, wherein the memory stores a program running on the processor, and when the processor runs the program, the steps of the first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit are executed.

[0048] The present invention also provides a computer-readable storage medium having computer instructions stored thereon. When the computer instructions are executed, the steps of the above-mentioned first-order asymptotic approximation method for envelope analysis of driving RF circuit are executed. The first-order asymptotic approximation method for envelope analysis of driving RF circuit is described in the above-mentioned part and will not be repeated here.

[0049] Those skilled in the art will understand that the foregoing descriptions are merely preferred embodiments of the present invention and are not intended to limit the present invention. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art will be able to modify the technical solutions described in the foregoing embodiments or substitute equivalents for some of the technical features. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention shall be included within the scope of protection of the present invention.

Claims

1. A first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit, characterized in that: The following steps are involved: Set the modulation signal parameters in the driving circuit equation to obtain the corresponding parameter-containing equation; Periodizing the modulation signal parameters; The periodic steady-state solutions of the parametric equations are calculated on a periodic uniform grid; Use non-uniform fast Fourier transform to calculate the periodic steady-state solution on the non-uniform grid; Output simulation results; The step of setting the modulation signal parameters in the driving circuit equation to obtain the corresponding parameter-containing equation also includes: The modulation signal function b(t) explicitly including time is rewritten as parameter b, and the parameter equation is obtained Wherein, x=x(t) is the solution of the driving circuit equation, i.e., the simulation result; t represents time; represents the derivative of x(t) with respect to time t; φ=x(t) is the solution of the parameter equation, represents the derivative of x(t) with respect to time t; The step of periodizing the modulation signal parameters further includes: Take an upper bound L of the absolute value of the modulation signal function b(t), change the parameter b to the periodic parameter θ, satisfying b = Lcosθ, and obtain the periodic parameter equation The step of calculating the periodic steady-state solution of the parameter-containing equation on the periodic uniform grid also includes: Given the period T of the carrier and the period 2π of the parameter θ, a uniform (t, θ) grid is taken on the area [0, T] × [0, 2π], that is, the step size in the t direction and the θ direction is a constant. On this grid, solve the parameter equation A family of periodic steady-state solutions φ(t, θ); The step of using non-uniform fast Fourier transform to calculate the value of the periodic steady-state solution on the non-uniform grid point also includes: According to the obtained values ​​of φ(t, θ) on the uniform grid, the values ​​of φ(t, θ) at the non-uniform grid points (t, cos -1 (b(t) / L)), where t is the time point to be solved, cos -1 (b(t) / L) is the corresponding coordinate value of (t,b(t)) in the (t,θ) grid.

2. The first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit according to claim 1, characterized in that: Also includes, The number of grid points required for a uniform periodic grid is smaller than that for a non-uniform grid.

3. The first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit according to claim 1, characterized in that: The step of outputting the simulation results further includes: Output simulation results 4. An electronic device, characterized in that: The invention comprises a memory and a processor, wherein the memory stores a program running on the processor, and when the processor runs the program, the steps of the first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit according to any one of claims 1 to 3 are executed.

5. A computer-readable storage medium having computer instructions stored thereon, characterized in that: When the computer instructions are executed, the steps of the first-order asymptotic approximation method for envelope analysis of a driving radio frequency circuit according to any one of claims 1 to 3 are executed.

Images