Single-frequency signal short sample high precision frequency measurement method and device based on relatively prime perception

A single-frequency signal and mutual prime sensing technology, which is applied in the direction of measuring devices, spectrum analysis, and measuring electrical variables, can solve the problems of increasing hardware equipment requirements and costs, increasing spectrum estimation time delay, and consuming samples, so as to save the number of samples , save the number of samples, reduce the effect of time delay

Active Publication Date: 2015-09-09
TIANJIN UNIV
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Problems solved by technology

[0005] However, the method mentioned in literature [11] has two defects that cannot be ignored. One is that the frequency estimation accuracy is not high enough. This is because no spectral correction is added in the spectrum estimation process, and the final spectral line can only be roughly positioned at the integer position , the fractional shift of the signal frequency is artificially ignored, resulting in inevitable errors in spectrum estimation; the second is that it consumes a lot of samples, which is due to the need to do cross-correlation pro...

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  • Single-frequency signal short sample high precision frequency measurement method and device based on relatively prime perception
  • Single-frequency signal short sample high precision frequency measurement method and device based on relatively prime perception
  • Single-frequency signal short sample high precision frequency measurement method and device based on relatively prime perception

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Embodiment 2

[0078] Embodiment 2 of the present invention introduces in detail the existing two-sub-segment phase difference spectrum correction method and the closed-form robust Chinese remainder theorem reconstruction method in Embodiment 1. See the following description for details:

[0079] 201: signal mutual prime perception processing;

[0080] For u-way processing, the sparse signal x after N times downsampling u (n) has the following form:

[0081] x u ( n ) = x ( N n ) = a 0 · e j ( 2 πf 0 N n + θ 0 ...

Embodiment 3

[0149](1) Short sample accuracy verification of spectral estimator

[0150] Experiment 1

[0151] Use the traditional mutual prime spectrum analysis method and this method to estimate the frequency of the single-frequency signal x(t)=exp(j2π107.3456t), the downsampling factor of mutual prime is M=17, N=13, and the Nyquist sampling rate for F s =MN=221Hz (corresponding sampling interval T=1 / F s =1 / 221), the sampling rates of u road and v road are respectively f s1 =1 / NT=17Hz, f s2 =1 / MT=13Hz, both are far below the Nyquist sampling limit, frequency resolution Δf=F s / MN=1Hz, filter length L=67. According to formula (5), the critical value of initializing the number of "snapshots" is 6. Use Q to represent the number of "snapshots" that need to be consumed. In each experiment, the Qth and (Q-1)th "snapshots" are selected for spectrum correction. Table 2 has listed each situation of Q=2~8, use each parameter value that spectrum estimation method of the present invention obt...

Embodiment 4

[0161] A short-sample high-precision frequency measurement device for single-frequency signals based on mutual prime sensing, see Image 6 ,,Single-frequency signal short-sample high-precision frequency measurement device includes:

[0162] Digital signal processor, the digital signal processor is used to perform discrete Fourier transform on the multi-channel output sequence composed of multi-channel sparse signals to obtain the output sequence after discrete Fourier transform; to the output sequence after discrete Fourier transform Perform spectral peak scanning to obtain the index of the spectral peak position, obtain the peak discrete Fourier transform spectral line through the index, and use the phase difference method to perform spectral correction to obtain the corrected frequency; use the corrected frequency pair as the remainder, and follow the closed analysis The formal Chinese remainder theorem is processed to reconstruct the original signal frequency;

[0163] The...

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Abstract

The invention discloses a single-frequency signal short sample high precision frequency measurement method and device based on relatively prime perception; the method comprises the following steps: carrying out discrete fourier transformation (DFT) for a multichannel output sequence formed by multichannel sparse signals, thus obtaining a DET converted output sequence; carrying out spectrum peak scanning for the DET converted output sequence so as to obtain a spectrum peak position index, using the index to obtain a peak DET spectral line, using a phase difference method to carry out spectrum correction, thus obtaining corrected frequency; using the corrected frequency as a remainder, using a Chinese remainder theorem in a closed parse form to process, thus reconstructing an original signal frequency. The device comprises a digital signal processor, an output drive, and a display circuit thereof; the digital signal processor is used for calculating so as to reconstruct the original signal frequency; the output drive and the display circuit thereof can display the original signal frequency. The single-frequency signal short sample high precision frequency measurement method and device can reduce spectrum estimation time delay, and improve sample utilization rate.

Description

technical field [0001] The invention relates to the field of digital signal processing, in particular to signal undersampling, mutual prime perception, polyphase filtering, frequency spectrum correction, and parameter reconstruction based on the Chinese remainder theorem. Background technique [0002] Spectrum estimation is related to many actual physical quantity measurements (such as radar wind speed measurement in atmospheric dynamics research [1] , Speed ​​measurement in vibration analysis [2] etc.) closely related signal processing methods [3,4] , is widely used in various disciplines such as electronics, electricity and automation, and is the basic problem of digital signal processing. Only when the traditional spectrum estimation satisfies Shannon sampling theorem (that is, at least two samples are required to be collected in a signal cycle), the signal will not be distorted, and it is possible to recover the signal effectively. However, in many engineering applica...

Claims

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Application Information

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IPC IPC(8): G01R23/165
Inventor 黄翔东闫子阳景森学靳旭康
Owner TIANJIN UNIV
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