用估计小波变换逼近数字信号

A. Yajnik
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引用次数: 3

摘要

本文概述了用离散小波逼近数字信号的方法。[1]采用的技术是对离散小波变换进行多分辨率数字信号分析的一种新方法。本文演示了使用Daubechies D4小波对数字信号的近似。本技术展示了一种修正的去除[1]中近似双长度数字信号产生的失真(损耗)的程序。对于高度非线性的数字信号,[1]技术不能近似信号,而改进后的[1]技术可以近似信号。该方法不仅可以较好地逼近数字信号,而且可以逼近高度非线性的数字信号。而且,与[1]中讨论的近似技术相比,该方法的能量守恒恰好是原始信号的两倍。
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Approximation of a Digital Signal Using Estimate Wavelet Transform
This article presents a general outline of the approximation of digital signal using Discrete Wavelet. The technique used in [1] is a new attitude to a multi resolution digital signal analysis by discrete wavelet transforms. This article demonstrates an approximation of a digital signal using Daubechies D4 wavelets. The present technique exhibits a revised procedure of removing distortion (loss) generated from the approximated double length digital signal presented in [1]. For highly nonlinear digital signal the technique of [1] fails to approximate the signal but the proposed revised technique can approximate the signal. The proposed method not only enables approximating digital signals in a better way but also it can approximate highly nonlinear digital signals. Moreover, the energy conservation is exactly double than the original signal which is not achieved by the approximation technique discussed in [1].
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