DocumentCode :
876030
Title :
The design of arbitrary FIR digital filters using the eigenfilter method
Author :
Nguyen, Truong Q.
Author_Institution :
MIT Lincoln Lab., Lexington, MA, USA
Volume :
41
Issue :
3
fYear :
1993
fDate :
3/1/1993 12:00:00 AM
Firstpage :
1128
Lastpage :
1139
Abstract :
The design of finite impulse response (FIR) digital filters for approximating an arbitrary function (in both magnitude and phase) in the least-square sense is studied. The design method is based on the computation of an eigenvector of an appropriate real, symmetric and positive-definite matrix. The design of the complex-coefficient filter is shown to be an extension of the design of the real-coefficient filter. Several design examples, including the constant-group-delay filters and digital phase all-pass filters, are presented. Comparisons to existing methods are made
Keywords :
all-pass filters; digital filters; eigenvalues and eigenfunctions; matrix algebra; arbitrary FIR digital filters; complex-coefficient filter; constant-group-delay filters; design; digital phase all-pass filters; eigenfilter method; real symmetric positive-definite matrix; real-coefficient filter; Algorithm design and analysis; Delay; Design methodology; Digital filters; Finite impulse response filter; Helium; Least squares approximation; Least squares methods; Minimax techniques; Symmetric matrices;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.205718
Filename :
205718
Link To Document :
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