A Signal Processing Method Based on Fast Independent Component Analysis to Eliminate Intersection Items of Wigner-ville Distribution
An independent component analysis and independent component technology, which is applied in the field of signal processing, can solve problems such as poor real-time performance, and achieve the effects of high real-time performance, small amount of calculation, and fast convergence speed
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Embodiment 1
[0045] 1. For multi-component signals for preprocessing, ,in , ,Sampling frequency ,Sampling point , the time domain waveform is as figure 1 shown; first for multi-component signals Centralized processing to get signal ,in ; Secondly, for the signal Perform whitening processing to decompose the signal The covariance matrix of , get its eigenvalues , a unitary matrix ;calculate , get the whitening matrix ; the whitening matrix left multiplied signal , complete signal Whitening processing, get the signal .
[0046] 2. Use the fast independent component analysis method to analyze the signal Perform unmixing processing to obtain several independent component signals , , according to the embodiment, it is estimated that the number of independent components is 2, so that the number of iterations ; randomly select an initial vector ,calculate ,function is a non-quadratic function The first derivative of , yes The second deriva...
Embodiment 2
[0050] 1. For multi-component signals for preprocessing, ,in , , , ,Sampling frequency ,Sampling point , the time domain waveform is as Figure 5 shown; first for multi-component signals Centralized processing to get signal ,in ; Secondly, for the signal for whitening, The covariance function of is ,right Decompose to obtain its eigenvalues , where the unitary matrix ,calculate Find the whitening matrix ; the whitening matrix left multiplied signal , complete signal Whitening processing, get the signal .
[0051] 2. Use the fast independent component analysis method to analyze the signal Perform unmixing processing to obtain several independent component signals , , , , according to the embodiment, it is estimated that the number of independent components is 4, so that the number of iterations ; randomly select an initial vector ,calculate ,function is a non-quadratic function The first derivative of , yes The...
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