过抽取有理非均匀滤波器组的最小二乘信号逼近模型及其应用

2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03). Pub Date : 2003-07-06 DOI:10.1109/ICASSP.2003.1201723

A. Tkacenko, P. Vaidyanathan

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引用次数: 3

摘要

随着用于有损数据压缩的小波的出现，出现了用信号在原空间中选定的子空间中的投影来表示某个向量空间中的信号的概念。本文考虑了由过抽取有理非均匀滤波器组生成的信号的子空间，并找到了一组固定的合成滤波器使给定确定性信号与其在该子空间中的表示之间的均方误差最小的最优条件。在这些最优条件下，选择合成滤波器以进一步减小该误差是一个简单的能量压缩问题。在此基础上，我们引入了信号类的确定性能量压缩滤波器的概念。仿真结果表明了该方法在优化综合滤波器方面的优点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the least squares signal approximation model for overdecimated rational nonuniform filter banks and applications

With the advent of wavelets for lossy data compression came the notion of representing signals in a certain vector space by their projections in well chosen subspaces of the original space. In this paper, we consider the subspace of signals generated by an overdecimated rational nonuniform filter bank and find the optimal conditions under which the mean-squared error between a given deterministic signal and its representation in this subspace is minimized for a fixed set of synthesis filters. Under these optimal conditions, it is shown that choosing the synthesis filters to further minimize this error is simply an energy compaction problem. With this, we introduce the notion of deterministic energy compaction filters for classes of signals. Simulation results are presented showing the merit of our proposed method for optimizing the synthesis filters.

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来源期刊

2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).

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