DocumentCode :
3541543
Title :
Complex-coefficient variable filter design using successive vector-array-decomposition
Author :
Deng, Tian-Bo
Author_Institution :
Dept. of Inf. Sci., Toho Univ., Chiba, Japan
fYear :
2005
fDate :
23-26 May 2005
Firstpage :
500
Abstract :
Singular-value-decomposition (SVD) can be efficiently utilized to obtain the optimal vector-array-decomposition (VAD) for simplifying real-coefficient variable digital filter design problem, but the SVD-based VAD methods cannot be utilized to design complex-coefficient variable filters. The paper proposes a successive algorithm for decomposing an arbitrary multi-dimensional complex array into the VAD form, and thus a complex-coefficient digital filter with an arbitrary variable frequency response can be easily obtained through complex-coefficient constant filter design and multi-dimensional polynomial fitting. The new VAD algorithm successively decomposes the complex array and its residual arrays into the vector-array pairs stage-by-stage, and each stage contains an iterative optimization that can be easily solved in a closed-form. Our computer simulations have verified that the successive VAD converges very fast to the optimal solution.
Keywords :
digital filters; frequency response; iterative methods; logic design; network synthesis; optimisation; polynomials; singular value decomposition; SVD; arbitrary variable frequency response; complex-coefficient constant filter design; complex-coefficient digital filter; complex-coefficient variable filter design; iterative optimization; multi-dimensional polynomial fitting; real-coefficient variable digital filter design; signal processing; singular-value-decomposition; successive algorithm; successive vector-array-decomposition; Algorithm design and analysis; Design methodology; Digital filters; Electronic mail; Frequency response; Information filtering; Information science; Iterative algorithms; Polynomials; Signal processing algorithms;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
Type :
conf
DOI :
10.1109/ISCAS.2005.1464634
Filename :
1464634
Link To Document :
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