Optimal Design of 2-D FIR Linear-Phase Digital Filters with Arbitrary Amplitude-Frequency Responses Using Neural-Networks

WANG Xiao-hua; HE Yi-gang

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Optimal Design of 2-D FIR Linear-Phase Digital Filters with Arbitrary Amplitude-Frequency Responses Using Neural-Networks

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- Optimal Design of 2-D FIR Linear-Phase Digital Filters with Arbitrary Amplitude-Frequency Responses Using Neural-Networks
- Acta Electronica Sinica Vol. 33, Issue 5, Pages: 950-953(2005)
- 作者机构：
  
  1. 长沙理工大学电气与信息工程学院,湖南,长沙,410077
  2. 湖南大学电气与信息工程学院,湖南,长沙,410082
  3. 长沙理工大学电气与信息工程学院湖南长沙,410077
  4. 湖南大学电气与信息工程学院湖南长沙,410082
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP183
- Published：2005
- 稿件说明：
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WANG Xiao-hua, HE Yi-gang. Optimal Design of 2-D FIR Linear-Phase Digital Filters with Arbitrary Amplitude-Frequency Responses Using Neural-Networks[J]. Acta Electronica Sinica, 2005, 33(5): 950-953.
DOI：

WANG Xiao-hua, HE Yi-gang. Optimal Design of 2-D FIR Linear-Phase Digital Filters with Arbitrary Amplitude-Frequency Responses Using Neural-Networks[J]. Acta Electronica Sinica, 2005, 33(5): 950-953. DOI：

摘要

本文提出了一种用神经网络算法来设计任意幅频响应二维FIR线性相位数字滤波器的新方法

其主要思想是使频率响应平方误差函数最小化.根据给定的任意幅频响应指标

按该算法可直接获得滤波器系数.为保证该算法的稳定性

提出并证明了该算法的收敛定理.文中给出了滤波器优化设计实例

计算机仿真结果表明由该方法设计的任意幅频响应二维数字滤波器波动小

算法收敛速度快

稳定性强.

Abstract

This paper provides a novel neural networks algorithm (NNA) for the design of 2-D FIR linear-phase digital filters with arbitrarily shaped amplitude-fresquency responses

the main idea is to minimize the squared-error function in the frequency-domain.By using the NNA

the coefficients of the designed filter can be obtained directly from the specified amplitude-frequency response.The convergence theorem is presented and proved to illustrate the stability of the NNA.The result of the optimal design example show that the ripple of the filter is tiny

and the proposed approach is of fast convergence and powerful stability.

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