Principle of wavelet threshold denoising 2.1 Wavelet transform Fourier analysis is to decompose the signal into a superposition of a series of sine waves of different frequencies. Similarly, wavelet analysis is to decompose the signal into a superposition of a series of wavelet functions, and these wavelet functions are all obtained by translating and scaling a mother wavelet function. The definition of wavelet transform is to shift a function called a basic wavelet (also called mother wavelet) by b, and then do the inner product with the signal x(t) to be analyzed at different scales a: where x(t) is a square integrable function
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