Presentation 2000/1/21
Weighted Least-Squares Method for Designing Arbitrarily Variable 1-D FIR Filters
Tian-Bo Deng,
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Abstract(in English) Variable digital filters with variable cutoff frequencies can be designed by frequency transformation methods. Such methods are simple, but they are not applicable to the design of variable filters with arbitrarily variable frequency responses. This paper proposes an efficient method for designing variale 1-D FIR digital filters with arbitrarily variable magnitude characteristics and specified linear or nonlinear phase responses. First, each coefficient of the variable FIR filter is assumed to be a multi-dimensional (M-D) polynomial of the spectral parameters that specify different variable magnitude characteristics. Then we present a pair of least-squares algorithms for finding the optimal polynomial coefficients by minimizing the weighted squared error between the desired and the actual variable frequency response. The first one is for designing 1-D FIR filters with variable magnitude response and linear-phase, and the second one is for designing variable 1-D FIR filters with variable magnitude response and nonlinear-phase. Although the first algorithm can be regarded as a special case of the second one, using the first one in the linear case can simplify the design significantly.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) variable digital filter / M-D polynomial / index mapping / spectral parameter
Paper # DSP99-185,SAT99-140,RCS99-190
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Conference Date 2000/1/21(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Weighted Least-Squares Method for Designing Arbitrarily Variable 1-D FIR Filters
Sub Title (in English)
Keyword(1) variable digital filter
Keyword(2) M-D polynomial
Keyword(3) index mapping
Keyword(4) spectral parameter
1st Author's Name Tian-Bo Deng
1st Author's Affiliation Department of Information Science, Faculty of Science, Toho University()
Date 2000/1/21
Paper # DSP99-185,SAT99-140,RCS99-190
Volume (vol) vol.99
Number (no) 567
Page pp.pp.-
#Pages 8
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