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Wavelet Transform Prefilter Design Based on Hermite Interpolation

Author: YangJing
Tutor: ShuiPengLang
School: Xi'an University of Electronic Science and Technology
Course: Computational Mathematics
Keywords: Prefilter Wavelet Transform Hermite Approximation Order
CLC: TN713
Type: Master's thesis
Year: 2011
Downloads: 22
Quote: 0
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Abstract


When to handle continuous-time signal using a discrete wavelet transform , the wavelet transform the initialization problem crucial step is the design of the pre - filter , its purpose is obtained by the sampling of a continuous signal to the continuous time signal at the most fine resolution subspace projection coefficients of the importance of the initialization from two aspects : on the one hand most of the signal and scaling function no analytical formula , and only the scale filters and continuous-time signal samples is known , therefore , analytical the calculation is impossible ; the other hand , the numerical integration is too time-consuming and continuous time signal requires a high sampling rate . this paper proposes a new pre - filter design based on Hermite interpolation method , different from the traditional pre- filtering problem , this article assumes that the continuous-time signal and its derivative sampling the same sampling rate . uniform sampling of the signal , the pre- filter coefficient is the analysis of the linear combination of the moments scaling function , including analysis of the moments of the scaling function by Aye Er Mite interpolated and prefilter the Approximation Order linearly dependent on the analysis of the scaling function of the length of the support set ; addition , the pre- filtering the signal non- uniform sampling were also discussed . numerical results and theoretical analysis show that , take advantage of the pre- filter design based on Hermite wavelet transform can get a better approximation effect than other pre - filtering method .

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CLC: > Industrial Technology > Radio electronics, telecommunications technology > Basic electronic circuits > Filtering techniques,the filter
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