小波变换与时频平面的时变平铺

K. Nayebi, I. Sodagar, T. Barnwell
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引用次数: 8

摘要

对时变滤波器组和小波进行了研究,并给出了设计方法。在分析-合成结构中,分析滤波器和相应的合成滤波器随时间变化。等效地,这些结构可以被认为是时频变换,具有相应的时频平面的时变平铺和相应的时变基函数。该公式基于时变分析综合结构的时域分析。该设计程序可用于设计具有有限数量不同分析结构的时变完全可逆变换。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The wavelet transform and time-varying tiling of the time-frequency plane
Time-varying filter banks and wavelets are studied, and a design procedure is presented. In the resulting analysis-synthesis structures, the analysis filters and the corresponding synthesis filters change with time. Equivalently, these structures can be considered as time-frequency transforms with a corresponding time-varying tiling of the time-frequency plane and with corresponding time-varying basis functions. This formulation is based on the time domain analysis of the time-varying analysis-synthesis structures. The design procedure can be used to design time-varying perfectly invertible transformations with a finite number of distinct analysis structures.<>
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