NDLI: An efficient algorithm for constrained least-square design of quadrantally symmetric two-dimensional fir filters

Content Provider	IEEE Xplore Digital Library
Author	Hong Xiao-Ying Lai Xiao-Ping Zhao Rui-Jie
Copyright Year	2012
Description	Author affiliation: School of Automation, Hangzhou Dianzi University, Hangzhou, 310018 (Lai Xiao-Ping) \|\| School of the Mechanical & Electrical and Information Engineering, Shandong University at Weihai, Weihai 264209 (Hong Xiao-Ying; Zhao Rui-Jie)
Abstract	A key problem for optimal design of two-dimensional (2-D) finite impulse response (FIR) filters is the efficiency of the design algorithm. Most existing algorithms have low computational efficiencies since they rearrange the coefficient matrix of a 2-D FIR filter into a vector and then solve for the coefficient vector using design algorithms for one-dimensional (1-D) FIR filters. Some 2-D based algorithms for least-square (LS) and weighted LS designs of 2-D FIR filters are very efficient because they directly compute or update the coefficient matrices of the filters. This paper considers the constrained LS (CLS) design of quadrantally symmetric 2-D FIR filters and presents a computationally efficient algorithm for the design. This algorithm generalizes the 2-D based LS design algorithm by imposing constraints on the magnitude response error of the filter such that it can efficiently solve the CLS design problems of the 2-D FIR filters. The algorithm can also be regarded as an extension of the projected LS algorithm for the CLS designs of 1-D FIR filters. Design examples and comparisons with existing algorithms demonstrate the efficiency of the proposed algorithm.
Starting Page	3617
Ending Page	3622
File Size	805548
Page Count	6
File Format	PDF
ISBN	9781467325813
ISSN	21612927
e-ISBN	9789881563811
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-25
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Chinese Assoc of Automati
Subject Keyword	Algorithm design and analysis projected least-square algorithm Filtering algorithms 2-D FIR filter constrained least-square design Finite impulse response filter Educational institutions Central Processing Unit Electronic mail 2-D based algorithm
Content Type	Text
Resource Type	Article

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