离散W变换(DWT)变元的对偶性

B. N. Madhukar, S. Bharathi
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引用次数: 1

摘要

本文给出了DWT的四种变体的新的对偶性质的推导。DWT及其变体是有限持续时间离散变换,用于数字信号处理、数字图像处理、通信系统等领域的大量应用。当且仅当现有的DWT对(包括它们的对应物)已知时,对偶性质可以应用于从其频域对应物或对应物计算时域信号。对偶性的效用在于从本质上降低了计算复杂度和支出。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Duality properties for the variants of the Discrete W Transform (DWT)
This paper gives the derivations of new duality properties for the four variants of the DWT. DWT and its variants are finite durational discrete transforms that are used in a host of applications in the fields of Digital Signal Processing, Digital Image Processing, Communication Systems, among a host of others. The Duality properties can be applied for the computation of the temporal signal from its frequency-domain counterpart or contra if and only if existing pair of DWT, including their counterparts, are known. The utility of the Duality properties lie in the abatement of computational complexity and disbursement intrinsically.
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