Design of Sparse Cosine-Modulated Filter Banks Using BP Neural Network

W. Xu, Yi Li, Jinghong Miao, Jiaxiang Zhao
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Abstract

This paper presents a design paradigm for sparse nearly perfect reconstruction cosine-modulated filter banks using BP neural network. Sparse FIR filter banks have lower implementation complexity than full filter banks with keeping a good performance level. First, a series of frequency response data satisfying perfect reconstruction condition are being selected. Second, the desired sparse linear phase FIR prototype filter is derived through the orthogonal matching pursuit performed under the weighted l2 norm, and the training function and hidden layer nodes in BP neural network. The simulation results fully testified the proposed scheme for the design sparse NPR cosine-modulated filter banks is reviewed.
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基于BP神经网络的稀疏余弦调制滤波器组设计
本文提出了一种基于BP神经网络的稀疏近完美重构余弦调制滤波器组的设计范例。稀疏FIR滤波器组比全滤波器组具有更低的实现复杂度,并能保持良好的性能水平。首先,选取一系列满足完全重构条件的频响数据。其次,通过加权l2范数下的正交匹配追踪,结合BP神经网络的训练函数和隐层节点,推导出期望的稀疏线性相位FIR原型滤波器;仿真结果充分证明了所提出的稀疏NPR余弦调制滤波器组设计方案。
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