Denoising of the pulse signal based on the second generation wavelet transform
Weidong Chen
Abstract
Weidong Chen
Abstract
Wavelet transform is used widely in signal processing.Because the classical wavelet transform depends on Fourier transform,and its realization is based on a large amount of convolution computation,the operation speed is low.In this paper the second wavelet transform is introduced and used to process pulse signal.A new threshold function is used in signal denoising,and it eliminates the limitation of the method of the soft threshold and the hard threshold.The second generation wavelet transform processing result is compared with the result processed by traditional wavelet transform.It is obvious that the new method yields superior results.
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Wavelet transform is used widely in signal processing.Because the classical wavelet transform depends on Fourier transform,and its realization is based on a large amount of convolution computation,the operation speed is low.In this paper the second wavelet transform is introduced and used to process pulse signal.A new threshold function is used in signal denoising,and it eliminates the limitation of the method of the soft threshold and the hard threshold.The second generation wavelet transform processing result is compared with the result processed by traditional wavelet transform.It is obvious that the new method yields superior results.
Key concepts: Harmonic wavelet transform, Wavelet transform, Second-generation wavelet transform, Stationary wavelet transform, Wavelet, Discrete wavelet transform, Wavelet packet decomposition, Mathematics