High-precision synchronous extraction generalized S transform time frequency analysis method

A high-precision synchronization and synchronization extraction technology, applied in the field of signal processing, can solve the problems of limited signal fine analysis, inability to adjust the length of the time window, difficult resolution, etc., and achieve the effect of high time-frequency decomposition accuracy

Inactive Publication Date: 2018-10-23
CHENGDU UNIVERSITY OF TECHNOLOGY
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Problems solved by technology

Among them, the "size" and "shape" of the window function of the short-time Fourier transform remain unchanged, so in practical applications, once the window function is selected, it is difficult to ensure that the obtained results can be obtained simultaneously in the time domain and frequency domain. It has a high enough resolution; the wavelet transform can achieve multi-resolution characteristics by analyzing the time-scale of the signal, but it is essentially a Fourier transform based on a stationary signal and an adjustable window, and the wavelet function The selection directly determines the effect of wavelet transform analysis, thus limiting the fine ana

Method used

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  • High-precision synchronous extraction generalized S transform time frequency analysis method
  • High-precision synchronous extraction generalized S transform time frequency analysis method
  • High-precision synchronous extraction generalized S transform time frequency analysis method

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Embodiment 1

[0038] Embodiment 1: see figure 1 , a high-precision synchronous extraction generalized S-transform time-frequency analysis method, comprising the following steps:

[0039] (1) Acquire signal x(t);

[0040] (2) Perform generalized S-transform on the signal x(t) according to the following formula to obtain the generalized S-transform value GST(f,τ),

[0041]

[0042] Among them, f is the frequency, t is the time, τ is the displacement parameter of the time axis, i is the imaginary number unit, λ and p are the adjustment factors of the window function;

[0043] (3) Calculate the modulus of GST(f,τ), get the energy of each time-frequency point, and get the time spectrum S of the generalized S-transform GST =|GST(f,τ)|;

[0044] (4) According to GST(f,τ), the instantaneous frequency f of the signal x(t) is obtained x (f,τ), and according to f x (f,τ) calculates the synchronous extraction operator SEO,

[0045] SEO=δ(f-f x (f,τ))

[0046]

[0047] (5) The time spectru...

Embodiment 2

[0053] Example 2: see Figure 2-Figure 9 , since the synthetic signal is a well-recognized model for testing the time-frequency focusing performance of the time-frequency distribution, Figure 5 The synthesized signal shown is composed of figure 2 , image 3 and Figure 4 The component signals are superimposed, so next we will Figure 5 The synthesized signal shown is used as the signal x(t) in step (1), and the specific implementation is as follows:

[0054] (1) Acquire signal x(t), said x(t) is determined by figure 2 , image 3 and Figure 4 The component signals are superimposed;

[0055] (2) Perform generalized S-transform on the signal x(t) according to the following formula to obtain the result of generalized S-transform GST(f,τ),

[0056]

[0057] Among them, f is the frequency, t is the time, τ is the displacement parameter of the time axis, i is the imaginary number unit, λ and p are the adjustment factors of the window function;

[0058] (3) Calculate t...

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Abstract

The invention discloses a high-precision synchronous extraction generalized S transform time frequency analysis method. The method comprises the steps of firstly performing generalized S transform ona signal to obtain a generalized S transform value, thereby obtaining a time frequency spectrum of the generalized S transform; based on the generalized S transform value, calculating an instantaneousfrequency, obtaining a synchronous extraction operator (SEO) according to the instantaneous frequency, extracting the time frequency spectrum of the generalized S transform by utilizing the SEO, onlyreserving energy near a time frequency ridge line in a time frequency plane, removing all other divergent energy, and obtaining a synchronous extraction generalized S transform value; and finally converting the synchronous extraction generalized S transform value into a time frequency spectrum of synchronous extraction generalized S transform. The size of a window function can be flexibly adjusted according to the actual need; the method has higher time frequency decomposition precision and relatively high flexibility; and the time and frequency resolution of the signal is greatly increased.

Description

technical field [0001] The invention relates to a signal processing method, in particular to a high-precision synchronous extraction generalized S-transform time-frequency analysis method. Background technique [0002] As an important branch in the field of non-stationary signal processing, time-frequency analysis has always been one of the research hotspots in modern signal processing. Common time-frequency analysis methods include short-time Fourier transform (STFT), wavelet transform (CWT), S-transform (ST) and generalized S-transform (GST). Among them, the "size" and "shape" of the window function of the short-time Fourier transform remain unchanged, so in practical applications, once the window function is selected, it is difficult to ensure that the obtained results can be obtained simultaneously in the time domain and frequency domain. It has a high enough resolution; the wavelet transform can achieve multi-resolution characteristics by analyzing the time-scale of th...

Claims

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Application Information

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IPC IPC(8): G06K9/00G06F17/14
CPCG06F17/14G06F2218/08
Inventor 胡英陈辉康佳星陈旭平周心悦钱红艳郭科
Owner CHENGDU UNIVERSITY OF TECHNOLOGY
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