TY - JOUR
T1 - A Modified Algorithm for Constrained Least Square Design of Multiband FIR Filters without Specified Transition Bands
AU - Selesnick, Ivan W.
AU - Lang, Markus
AU - Sidney Burrus, C.
N1 - Funding Information:
Manuscript received October 29, 1996; revised June 5, 1997. This work was supported by NORTEL under NSF Grant MIP-9316588 and by the Alexander von Humboldt Foundation. The associate editor coordinating the review of this paper and approving it for publication was Dr. Sawasd Tantaratana. I. W. Selesnick is with Polytechnic University, Brooklyn, NY 11201 USA (e-mail: [email protected]). M. Lang is with Me Vis, Bremen, Germany. C. S. Burrus is with Rice University, Houston, TX 77001 USA. Publisher Item Identifier S 1053-587X(98)01351-8.
PY - 1998
Y1 - 1998
N2 - In a previous paper, we described a constrained least square approach to FIR filter design that does not use don't care regions. In that paper, we described a simple algorithm for the design of lowpass filters according to that approach. In this correspondence, we describe a modification of that algorithm that makes it converge for many multiband filter designs. Although no proof of convergence is given, the modified algorithm remains simple and converges rapidly in many cases. In this approach, the user supplies a lower and upper bound constraint that is exactly satisfied by the local minima and maxima of the frequency response amplitude. Yet, the constraints can be made as tight as desired-the transition band automatically adjusts (widens) to accommodate the constraints. Bandpass filers,.
AB - In a previous paper, we described a constrained least square approach to FIR filter design that does not use don't care regions. In that paper, we described a simple algorithm for the design of lowpass filters according to that approach. In this correspondence, we describe a modification of that algorithm that makes it converge for many multiband filter designs. Although no proof of convergence is given, the modified algorithm remains simple and converges rapidly in many cases. In this approach, the user supplies a lower and upper bound constraint that is exactly satisfied by the local minima and maxima of the frequency response amplitude. Yet, the constraints can be made as tight as desired-the transition band automatically adjusts (widens) to accommodate the constraints. Bandpass filers,.
KW - Chebyshev approximation
KW - Digital filters
KW - Fir digital filters
KW - Least squares methods
KW - Linear-phase filters
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U2 - 10.1109/78.655433
DO - 10.1109/78.655433
M3 - Article
AN - SCOPUS:0031997158
SN - 1053-587X
VL - 46
SP - 497
EP - 501
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 2
ER -