NDLI: Minimax design of sparse FIR digital filters

Content Provider	IEEE Xplore Digital Library
Author	Aimin Jiang Hon Keung Kwan Yanping Zhu Xiaofeng Liu
Copyright Year	2012
Description	Author affiliation: Hohai University, Changzhou Campus, China (Aimin Jiang; Xiaofeng Liu) \|\| University of Windsor, Canada (Hon Keung Kwan) \|\| Changzhou University, China (Yanping Zhu)
Abstract	In this paper, we present a novel algorithm to design sparse FIR digital filters in the minimax sense. To tackle the nonconvexity of the design problem, an efficient iterative procedure is developed to find a potential sparsity pattern. In each iteration, a subproblem in a simpler form is constructed. Instead of directly resolving these nonconvex subproblems, we resort to their respective dual problems. It can be proved that under a weak condition, globally optimal solutions of these subproblems can be attained by solving their dual problems. In this case, the overall iterative procedure can converge to a locally optimal solution of the original design problem. The real minimax design can then be achieved by refining the FIR filter obtained by the iterative procedure. The design procedure described above can be repeated for several times to further improve the sparsity of design results. The output of the previous stage can be used as the initial point of the subsequent design. Simulation results demonstrate the effectiveness of our proposed algorithm.
Starting Page	3497
Ending Page	3500
File Size	223148
Page Count	4
File Format	PDF
ISBN	9781467300452
ISSN	15206149
e-ISBN	9781467300469
e-ISBN	9781467300445
DOI	10.1109/ICASSP.2012.6288670
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-03-25
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Algorithm design and analysis Finite impulse response filter Approximation algorithms Filtering algorithms Signal processing algorithms Matching pursuit algorithms minimax Finite impulse response (FIR) digital filter sparse filter design
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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