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Multifrequency interpolation iteration frequency estimation method based on all phase spectrum analysis, and estimator

A frequency estimation and all-phase technology, which is applied in the field of spectrum correction, digital signal parameter recovery, and multi-frequency signal spectrum analysis, can solve problems such as inter-spectrum interference, spectrum leakage, and estimator accuracy reduction, achieving high estimation accuracy and high application value, the effect of improving the estimation accuracy

Active Publication Date: 2018-01-26
TIANJIN UNIV
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  • Application Information

AI Technical Summary

Problems solved by technology

However, when performing FFT spectrum analysis on multi-frequency signals, due to the inherent spectral leakage of FFT, there will be serious inter-spectrum interference between frequency components, resulting in a significant reduction in the accuracy of the estimator in literature [6-18]

Method used

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  • Multifrequency interpolation iteration frequency estimation method based on all phase spectrum analysis, and estimator
  • Multifrequency interpolation iteration frequency estimation method based on all phase spectrum analysis, and estimator
  • Multifrequency interpolation iteration frequency estimation method based on all phase spectrum analysis, and estimator

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Embodiment 1

[0050] A multi-frequency interpolation iterative frequency estimation method based on full phase spectrum analysis, see Figure 1-Figure 3 , the frequency estimation method includes the following steps:

[0051] 101: Perform all-phase FFT spectrum analysis and processing on the input signal, and search for the peak spectrum position;

[0052] 102: Calculate the full-phase DTFT amplitude of the frequency points on both sides of the peak spectrum, and perform interpolation iterations to obtain frequency estimation results;

[0053] 103: Judging whether the relative difference of the two all-phase DTFT spectrum values ​​meets the iteration termination condition;

[0054] 104: If not satisfied, calculate the frequency offset, adjust the position of the peak spectrum, and repeat steps 2) to 3); if satisfied, end the iteration and output the frequency estimation result.

[0055] Further, the frequency estimation result in step 102 is specifically:

[0056]

[0057] in, is th...

Embodiment 2

[0069] Below in conjunction with accompanying drawing, calculation formula, the scheme in embodiment 1 is further introduced, see the following description for details:

[0070] 1. All-phase FFT spectrum analysis

[0071] The simplified process of apFFT spectrum analysis proposed in [23] is as follows: figure 1 Shown:

[0072] figure 1 The apFFT spectral analysis is divided into two simple steps:

[0073] Step 1: All-phase data processing, using a convolution window w of length 2N-1 c (n) Weight the input data x(n), and then superimpose the data with an interval of N (except the middle element) to form N data y(0), y(1),...,y(N- 1);

[0074] Step 2: Perform FFT on y(0), y(1),...,y(N-1) to obtain the full-phase discrete spectrum Y(k).

[0075] figure 1 The convolution window w in c (n) is obtained by convolution of a window f(n) of length N and a flipped window b(n), namely

[0076] w c (n)=f(n)*b(-n), n∈[-N+1,N-1] (1)

[0077] The embodiment of the present invention...

Embodiment 3

[0127] Below in conjunction with concrete test, the scheme in embodiment 1 and 2 is carried out feasibility verification, see the following description for details:

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Abstract

The invention discloses a multifrequency interpolation iteration frequency estimation method based on all phase spectrum analysis, and an estimator. The method comprises the following steps that: 1) carrying out all phase FFT (Fast Fourier Transform) spectrum analysis processing on an input signal, and searching a peak value spectrum position; 2) calculating the all phase DTFT (Discrete Time Fourier Transform) amplitudes of two-side frequency points of the peak value spectrums, carrying out interpolation iteration, and obtaining a frequency estimation result; 3) judging whether the relative difference of two all phase DTFT spectrum values meets an iteration termination condition or not; and 4) if the relative difference of two all phase DTFT spectrum values does not meet the iteration termination condition, calculating frequency offset, regulating the positions of the peak value spectrums, and repeating the steps 2)-3); and if the relative difference of two all phase DTFT spectrum values meets the iteration termination condition, finishing iteration, and outputting a frequency estimation result. The estimator comprises that a simulated input signal is sampled, a sampled digital signal is segmented, each section of data and filter coefficients are stored into an external RAM (Random Access Memory), a DSP (Digital Signal Processor) carries out all phase FFT, all phase DTFT and interpolation iteration processing on the above input data, frequency is estimated, and finally, a frequency value is displayed in virtue of an output driver and a display module thereof.

Description

technical field [0001] The invention relates to the fields of multi-frequency signal spectrum analysis, spectrum correction and digital signal parameter restoration, in particular to a multi-frequency interpolation iterative frequency estimation method and an estimator based on full-phase spectrum analysis. Background technique [0002] Frequency estimation has a wide range of applications (e.g. Doppler effect detection [1] , rotational speed measurement in vibration [2] can be transformed into a frequency estimation problem). Compared with subspace-based decomposition (such as multiple signal taxonomy [3] , rotation invariant parameter estimation method [4] etc.), FFT (Fast Fourier Transform, Fast Fourier Transform) has the advantage of high computing efficiency, so the FFT-based frequency estimator has always been a hot topic in academic research. [0003] Literature [5] pointed out that: given a finite length sample, the frequency estimate in the sense of maximum like...

Claims

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Application Information

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IPC IPC(8): G06F17/14
Inventor 黄翔东黎鸣诗马欣李泓轩
Owner TIANJIN UNIV
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