Signal separation method based on fractional wavelet transform

A wavelet transform and signal separation technology, applied in the field of signal separation, can solve problems such as poor analysis and processing of non-stationary signals, and achieve the effect of reducing the amount of calculation, solving signal separation, and flexible processing and analysis.

Inactive Publication Date: 2010-02-24
HARBIN INST OF TECH
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Problems solved by technology

[0004] The purpose of the present invention is to solve the problem that the traditional wavelet transform method has poor effect when analyzing and processing non-stationary signals, thereby proposing a signal separation method based on fractional wavelet transform

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  • Signal separation method based on fractional wavelet transform
  • Signal separation method based on fractional wavelet transform
  • Signal separation method based on fractional wavelet transform

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specific Embodiment approach 1

[0019] Specific implementation mode 1. Combination figure 1 with figure 2 Illustrate this specific embodiment, a kind of signal separation method based on fractional order wavelet transform, it is finished by the following steps:

[0020] Step 1. According to the time-frequency distribution of the input signal f(t), the order of the optimal energy accumulation of the input signal f(t) in the fractional domain is obtained, thereby obtaining the transformation order α of the fractional wavelet transform;

[0021] Step 2, according to the fractional domain bandwidth of the input signal f(t), obtain the number of layers L of the fractional wavelet transform decomposed signal;

[0022] Step 3. According to the transformation order α obtained in step 1 and the number of layers L obtained in step 2, perform a fractional wavelet transform with the order α and the number of layers L on the input signal f(t) to obtain the details of each layer transformation coefficient di;

[0023]...

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Abstract

The invention relates to a signal separation method based on fractional wavelet transform. The signal separation method solves the problem that the traditional wavelet transform method has poor effects on non-stationary signal analysis and treatment. The signal separation method comprises the following steps: determining the order and the layer number of the fractional wavelet transform accordingto parameters of input signals, calculating a transform coefficient of the detailed part of each layer by fractional wavelet transform, calculating signal energy which corresponds to the detailed partof each layer according to the transform coefficient, comparing the signal energy with a set threshold value, retaining the transform coefficient which corresponds to the detailed part of the layer and recording and storing the retained detailed part if the signal energy is larger than the set threshold, and abandoning the transform coefficient which corresponds to the detailed part of the layerif the signal energy is smaller than the set threshold. The signal separation method is applicable to the treatment and analysis occasions of non-stationary signals.

Description

technical field [0001] The invention relates to a signal separation method. Background technique [0002] In traditional time-frequency analysis, wavelet transform is recognized as the most ideal linear time-frequency analysis tool, and its application fields are very wide. But the analysis of the signal by wavelet transform is limited to the time-frequency plane, that is to say, for those signals whose energy is not optimally gathered in the time-frequency plane, the analysis result of wavelet transform is not optimal. Considering the rotation characteristics of fractional Fourier transform, if it can be combined with wavelet transform, it will provide another "signal representation domain", "signal operation representation domain" and "resource representation domain", so as to solve the problem of signal analysis It provides a way of thinking for various problems in the processing and processing, especially for the analysis and processing of non-stationary signals. [00...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/14
Inventor 沙学军史军迟永钢吴宣利张乃通张钦宇张中兆李牧
Owner HARBIN INST OF TECH
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