Sparse Minimum-Phase FIR Filter Design by SDP

被引:0
|
作者
Jiang, Aimin [1 ]
Kwan, Hon Keung [2 ]
Liu, Xiaofeng [1 ]
Zhu, Yanping [3 ]
机构
[1] Hohai Univ, Coll Internet Things Engn, Changzhou, Peoples R China
[2] Univ Windsor, Dept Elect & Comp Engn, Windsor, ON, Canada
[3] Changzhou Univ, Sch Informat Sci & Engn, Changzhou, Peoples R China
来源
2017 IEEE 30TH CANADIAN CONFERENCE ON ELECTRICAL AND COMPUTER ENGINEERING (CCECE) | 2017年
关键词
Autocorrelation sequence; finite impulse response (FIR); minimum-phase; semidefinite programming (SDP); sparsity; DIGITAL-FILTERS; LINEAR-PHASE; OPTIMIZATION;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, a novel algorithm is developed for the design of minimum-phase FIR filters with sparse impulse responses. Traditional minimum-phase FIR filter design approaches are based on autocorrelation sequences of impulse responses and design problems are formulated as a semidefinite program. To achieve sparse designs, l(1) norm of filter coefficients is incorporated in the objective function as a regularization term. To improve the performance, a limited number of coefficients are minimized in l(1) norm, while others are left to enhance the accuracy of magnitude approximation. A heuristic procedure is further developed to iteratively identify zero coefficients. Simulation results demonstrate that, given specifications, the proposed algorithm can effectively improve the sparsity of impulse responses of an FIR filter, such that its implementation complexity can be reduced.
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页数:5
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