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43 results about "Walsh function" patented technology

In mathematics, more specifically in harmonic analysis, Walsh functions form a complete orthogonal set of functions that can be used to represent any discrete function—just like trigonometric functions can be used to represent any continuous function in Fourier analysis. They can thus be viewed as a discrete, digital counterpart of the continuous, analog system of trigonometric functions on the unit interval. But unlike the sine and cosine functions, which are continuous, Walsh functions are piecewise constant. They take the values −1 and +1 only, on sub-intervals defined by dyadic fractions.

System and method for performing accurate demodulation of turbo-encoded signals via pilot assisted coherent demodulation

An efficient telecommunications receiver system for accurately decoding a received composite signal having a data signal component and a pilot signal component. The receiver system includes a first circuit for receiving the composite signal and extracting a pilot signal and a data signal from received composite signal. A second circuit calculates a log-likelihood ratio as a function of a channel estimate based on the pilot signal. A third circuit scales the log-likelihood ratio by a predetermined log-likelihood ratio scaling factor and provides an accurate log-likelihood value in response thereto. A fourth circuit decodes the received composite signal based on the accurate log-likelihood value and the data signal. In a specific embodiment, the pilot signal and the data signal comprise pilot samples and data samples, respectively. The third circuit includes a carrier signal-to-interference ratio circuit for computing a first signal-to-interference ratio and a second signal-to-interference ratio based partly on the pilot signal. The first signal-to-interference ratio is based on the data samples, and the second signal-to-interference ratio is based on the pilot samples. The first signal-to-noise ratio and the second signal-to-noise ratio provide input to a circuit for computing the predetermined log-likelihood ratio scaling factor that is included in the third circuit. In a more specific embodiment, the first circuit includes a despreader for despreading the received composite signal in accordance with a predetermined spreading function and providing a despread signal in response thereto. The spreading function is a pseudo noise sequence or a Walsh function. The first circuit further includes a decovering circuit that extracts the pilot signal and the data signal from the despread signal. In the illustrative embodiment, the accurate receiver system further includes a circuit for generating a rate and/or power control message and transmitting the rate and/or power control message to an external transceiver in communication with the efficient receiver system.
Owner:QUALCOMM INC

Wind profiler radar phase encoding method and circuit based on Frank codes

The invention relates to the technical field of wind profiler radar waveform design, signal processing, waveform generation method and frequency synthesizer circuit. The invention first provides a wind profiler radar phase encoding method and circuit based on Frank codes. The method comprises the steps that the number M of encoding sub-pulses is calculated; a time domain accumulation number Nc is calculated; an encoding cycle number N is selected; the time domain accumulation number Nc and the encoding cycle number N are adjusted to form an encoding matrix FN'*M; and the encoding matrix FN'*M is used to carry out phase encoding of transmitted pulses of an encoding cycle. A wind profiler radar is used for detecting wind direction, wind speed, echo intensity and other meteorological information of an atmospheric wind field. In the prior art, two-phase complementary codes, Walsh function codes or other phase encoding technologies are used to realize width pulse energy and narrow pulse resolution at the same time. The encoding method and circuit, which are provided by the invention, use ordinary pulse or pulse burst waveform, have the advantages of low distance sidelobe and flexible selection of the number of the sub-pulses, can be used to prevent point frequency radio interference, and are suitable for a variety of wind profiler radars.
Owner:BEIJING INST OF RADIO MEASUREMENT

Method for measuring tilt aberration of Hartmann wavefront sensor subaperture

Disclosed is a method for measuring tilt aberration of Hartmann wavefront sensor subaperture. First-step Walsh function form binary phase modulation and second-step Walsh function form binary phase modulation are respectively conducted to auxiliary optical waves in an auxiliary aperture range through a phase modulator, modulated auxiliary optical waves each time are focused by a micro lens and enter into corresponding single mode fiber lectotype filter, three types of light intensity data emerged in three states of non-modulation, first-step modulation and second-step modulation are received by a single detector at the other end of an optical fiber, a first-step Walsh function coefficient and a second-step Walsh function coefficient of wavelet center front are obtained according to the light intensity data, and tilt aberration coefficients in two directions corresponding to the wavelet center front in the auxiliary subaperture are obtained by utilizing a corresponding proportional relation of the first-step Walsh function and the second-step Walsh function and tilt aberration. The method for measuring the tilt aberration of the Hartmann wavefront sensor subaperture reduces the number of corresponding detecting units of each subaperture sufficiently, greatly reduces detection information content, achieves that in each single subaperture, a single photoelectric detector replaces a photoelectric detector array, accelerates detecting speed and reduces device cost, and meanwhile, detecting precision of wavefront is free from the influence of reduction of the number of the detecting units.
Owner:INST OF OPTICS & ELECTRONICS - CHINESE ACAD OF SCI

Wireless Mobile Communication System Without Pilot Signals

The present invention is directed to a method for canceling the Doppler shift, multi-path propagation, delays, and long time selective fading influences of phase and/or amplitude modulated signals carried by RF sub-carriers, without requiring pilot signals. The number of m=2n, over which individual datum is transmitted in each communication channel, is determined. Pairs of Walsh functions are selected from a Walsh-Hadamard matrix such that each function is not selected more than once. Each signal is partitioned to its I factor and Q factor and coding each I and Q factors of the signals by the pair functions. A corresponding phase and amplitude is allocated for each sub-carrier wherein the amplitude and phase values are determined by the data that is transmitted, the digital modulation scheme or inverse spectral transformation, and signs of both corresponding elements taken from the pair Walsh functions. Data is transmitted over the sub-carriers and received and the corresponding phases and amplitudes of all the received signals are obtained using spectral transformation. The received signals are decoded by changing signs of I and Q factors of the received signals in accordance with corresponding elements from the pair functions, used to decode said signals. The I and Q factors of received signals are summed separately, after changing signs of said I and Q factors of received signals, and each of the summations of I and Q factors is divided by m. The signal is reconstructed using said divided I and Q factors, by calculating its phase.
Owner:BANK MICHAEL +3

Method of building coefficient transfer matrix between Zernike polynomial aberration model and Walsh function aberration model

ActiveCN103162846AEnrich the form of wavefront expansionImproving the Accuracy of Wavefront RestorationOptical measurementsWavefront sensorPhase distortion
The invention provides a method of building a coefficient transfer matrix between a Zernike polynomial aberration model and a Walsh function aberration model. According to a linear relation of the Zernike polynomial coefficient and each Walsh function coefficient, coefficient matrix, expanded by Walsh function, of each Zernike polynomial is ensured so as to realize interconversion between a Zernike polynomial aberration model coefficient and a Walsh function aberration model coefficient. If a Walsh function order with a bigger coefficient absolute value is chosen, transfer matrix is reconstructed so as to reduce effectively scale of the coefficient transfer matrix of the coefficient and obtain the Zernike polynomial coefficient information by coefficient information of fewest and optimal Walsh function order. By only detecting one kind of aberration model coefficient, another coefficient corresponding to an aberration model can be ensured by the transfer matrix, wavefront phase distortion can be described by the two kinds of the aberration models respectively in order to achieve the goal of complementing advantages of the two kinds of the aberration models, meanwhile, certain help can be provided for development of a novel wavefront sensor technology.
Owner:INST OF OPTICS & ELECTRONICS - CHINESE ACAD OF SCI

Geodetic system identification electromagnetic exploration method and system based on multi-channel orthogonal coding

The invention discloses a geodetic system identification electromagnetic exploration method and a geodetic system identification electromagnetic exploration system based on multipath orthogonal coding. The geodetic system identification electromagnetic exploration method comprises the following steps of: sampling an input signal to obtain a discrete signal; carrying out discrete Walsh transform onN discrete data to obtain coefficients of N Walsh codes; selecting N mutually orthogonal Walsh functions from a Walsh code orthogonal set, and multiplying the Walsh functions by coefficients of the NWalsh codes in a one-to-one correspondence manner to obtain N paths of spread spectrum orthogonal coded signals; combining the N paths of orthogonal coded signals to obtain a total transmitting signal and transmitting the total transmitting signal to a geodetic system; and receiving a total signal transmitted by the geodetic system, performing separation on the total signal by utilizing the N Walsh functions to obtain N paths of receiving signals, and calculating impulse response and noise of the geodetic system by utilizing the N paths of receiving signals. According to the geodetic system identification electromagnetic exploration method and the geodetic system identification electromagnetic exploration system, multipath spread spectrum is carried out on the original input signal, so that the solving precision of the impulse response of the earth system is improved, useful signals and noise are effectively separated, and a basis is provided for acquiring earth medium parameters withhigher accuracy.
Owner:CENT SOUTH UNIV

Aircraft flutter analysis grid model Walsh modeling method

In order to overcome the problem in the prior art that a complex flutter model under aerodynamic force and strength change influences can not be effectively expressed, the invention provides an aircraft flutter analysis grid model Walsh modeling method. The method is characterized in that a plurality of grid points are selected in an aircraft engine body shaft system; under aerodynamic force and strength change influences including different flight speeds, atmospheric densities, airflow environments, different temperatures and the like, according to an engine body shaft system decomposition method, a complex flutter grid model is expressed; according to a requirement for establishing the model, the requirements of installing sensors and data and image records are put forward; through an effective flutter flight experiment, data is obtained, and an excitation function is obtained through a measured value of an airflow sensor; a Walsh function is adopted to carry out approximation and equivalent description on a vibration variable; according to a distinguishing method, the solving of three axial vibration equations on an engine body axial system coordinate grid point can be simultaneously determined, and the technical problem in the prior art that the complex flutter model under aerodynamic force and strength change influences can not be effectively expressed is solved.
Owner:XIAN FEISIDA AUTOMATION ENG

Mesh model Walsh modeling method for aircraft flutter analysis

In order to overcome the problem in the prior art that a complex flutter model under aerodynamic force and strength change influences can not be effectively expressed, the invention provides an aircraft flutter analysis grid model Walsh modeling method. The method is characterized in that a plurality of grid points are selected in an aircraft engine body shaft system; under aerodynamic force and strength change influences including different flight speeds, atmospheric densities, airflow environments, different temperatures and the like, according to an engine body shaft system decomposition method, a complex flutter grid model is expressed; according to a requirement for establishing the model, the requirements of installing sensors and data and image records are put forward; through an effective flutter flight experiment, data is obtained, and an excitation function is obtained through a measured value of an airflow sensor; a Walsh function is adopted to carry out approximation and equivalent description on a vibration variable; according to a distinguishing method, the solving of three axial vibration equations on an engine body axial system coordinate grid point can be simultaneously determined, and the technical problem in the prior art that the complex flutter model under aerodynamic force and strength change influences can not be effectively expressed is solved.
Owner:XIAN FEISIDA AUTOMATION ENG

Deep learning wavefront restoration method based on single-frame focal plane light intensity image

The invention discloses a deep learning wavefront restoration method based on a single-frame focal plane light intensity image, and aims to solve the problem that multiple solutions exist when a single far-field light spot inverts a near-field wavefront due to the fact that two groups of wavefronts which mutually rotate by 180 degrees and have a complex conjugate relationship in an adaptive optical system have the same far-field light spot distribution. The wavefront restoration method based on walsh function phase modulation can ensure that far-field light spot distribution corresponds to a unique near-field wavefront, but the calculation speed is still limited by the number of iterations and the single-step iterative calculation time. The deep learning algorithm can self-extract the deepfeature information of the image, so that the mapping relation from the far-field light intensity image to the near-field wavefront can be learned on the basis of phase modulation of the walsh function, the calculation from the far-field image to the near-field wavefront end-to-end is realized, and the iterative calculation process of the traditional wavefront restoration method can be avoided. Based on this, the iterative calculation process of a traditional wavefront restoration method is avoided by using a deep learning algorithm, the calculation efficiency is improved, and rapid wavefrontrestoration of a single-frame focal plane light intensity image is realized.
Owner:INST OF OPTICS & ELECTRONICS - CHINESE ACAD OF SCI
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