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基于神经网络的任意延迟M带小波设计

郑晶 王祖林 郭旭静

沈阳工业大学学报2011,Vol.33Issue(5):561-565,5.
沈阳工业大学学报2011,Vol.33Issue(5):561-565,5.

基于神经网络的任意延迟M带小波设计

Design of arbitrary-delay M-band cosine-modulated wavelet based on neural network

郑晶 1王祖林 1郭旭静1

作者信息

  • 1. 北京航空航天大学电子信息工程学院,北京100191
  • 折叠

摘要

Abstract

In order to obtain the M-band wavelet with better frenquency selectivity,an optimum desigh method for arbitrary-delay M-band cosine-modulated wavelet was proposed.Based on the perfect reconstruction filter theory,different M-band biorthogonal and orthogonal wavelets can be designed through revising the system delay parameters.When the parameter design was performed for the simplified secondary objective function and constraint condition,an augmented Lagrangian multiplier method was used to convert the problem into an unconstrained optimization problem in an equivalent way.And an optimum design structure based on discrete time Hopfield neural network was proposed.The iterative operation was performed with steepest descent method to reduce the complexity of the algorithm.Compared with the existing algorithms,the proposed method has such advantages as simple realization,high efficiency and better optimum performance.

关键词

M带小波/完全重构滤波器/余弦调制滤波器组/任意延时/神经网络/增广拉格朗日乘子法/最速下降法/最优化

Key words

M-band wavelet/perfect reconstruction filter/cosine-modulated filter group/arbitrary delay/neural network/augmented Lagrangian multiplier method/steepest descent method/optimization

分类

信息技术与安全科学

引用本文复制引用

郑晶,王祖林,郭旭静..基于神经网络的任意延迟M带小波设计[J].沈阳工业大学学报,2011,33(5):561-565,5.

基金项目

教育部博士点基金资助项目 ()

沈阳工业大学学报

OA北大核心CSTPCD

1000-1646

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