One-dimensional Discrete Wavelet Decomposition and
2016-08-23
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On the basis of understanding the basic principle and algorithm of discrete wavelet transform, the simple one-dimensional signal is transformed by Daubechies wavelet, Morlet wavelet and Haar wavelet after Gaussian white noise is added by designing VC program, and the wavelet decomposition coefficients are obtained. Then the high-frequency coefficients of each layer are reconstructed to achieve the purpose of denoising. In the process of realizing this program, we can intuitively understand the process of signal wavelet decomposition and reconstruction and its important role in signal denoising, as well as the influence of coefficient selection on the effect of signal denoising when weighting the high-frequency coefficients of each layer.
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