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一种二阶锥规划通带线性相位FIR滤波器的设计
胡海江,宋绍京
0
(上海第二工业大学 工学部,上海 201209)
摘要:
在有限冲激响应(Finite Impulse Response,FIR)滤波器设计中,如果系统只要求通带或某个频域区间具有线性相位而其他频域区间相位非线性,则系数对称的FIR滤波器设计方法不再适用。为此,提出了一种基于二阶锥规划(Second-Order Cone Programming,SOCP)的通带线性相位FIR滤波器设计方法。该方法使用二阶锥规划实现滤波器设计,其中优化目标为通带最小群延迟,约束条件为全频域振幅误差。实验结果显示,所提方法设计的FIR滤波器有着很好的幅频特性和通带线性相位,通带群延迟误差很小。该方法实现简单,计算复杂度低,可以广泛应用于数字信号处理领域。
关键词:  数字信号处理  有限冲激响应滤波器  优化设计  二阶锥规划  通带线性相位
DOI:
基金项目:国家自然科学基金资助项目(11404150)
FIR filter design with linear phase in passband by second-order cone programming
HU Haijiang,SONG Shaojing
(College of Engineering,Shanghai Polytechnic University,Shanghai 201209,China)
Abstract:
In the finite impulse response(FIR) design,the linear group delay in the passband or the designated frequency domains is different from that in the whole frequency domain.The traditional methods for the linear group delay in the whole frequency domain are not applicable for the design on the linear group delay in the passband.A novel method for the FIR filter design with the linear phase in passband is proposed,which uses second-order cone programming(SOCP) method to solve the filter design.The aim of optimal method is the least group delay in passband while the constraint conditions include the magnitude errors in all frequency domains.The experiment results show the filter designed with this method has good performance on the magnitude error and the linear phase in the passband.This method can be realized easily with the low computation complexity and applied in the field of digital signal processing.
Key words:  digital signal processing  FIR filter  optimization design  second-order cone programming(SOCP)  linear phase in passband
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