Abstract. FIR filter design problems in the frequency domain are nonlinear (semi-infinite) optimization problems. In practice these almost always have been solved in a simplified form and/or only under restricting assumptions. In this paper, the four main design approximation problems in the frequency domain are stated in general forms, which allow the inclusion of constraints and the choice of an arbitrary L P
|
333
|
Nonlinear Programming. Athena Scientific
– Bertsekas
|
|
181
|
Introduction to approximation theory
– Cheney
- 1966
|
|
100
|
Statistical Digital Signal Processing and Modeling
– HAYES
- 471
|
|
46
|
Chebyshev approximation for nonrecursive digital filters with linear phase
– Parks, McClellan
- 1972
|
|
32
|
The Convergence of Variable Metric Methods for Nonlinearly Constrained Optimization Calculations,” Nonlinear Programming 3
– Powell
- 1978
|
|
29
|
Nonlinear Programming. Athena Scienti c
– Bertsekas
- 1995
|
|
28
|
Digital Filters
– Hamming
- 1983
|
|
21
|
FIR filter design via spectral factorization and convex optimization
– Wu, Boyd, et al.
- 1998
|
|
8
|
A fast algorithm for linear complex Chebyshev approximation
– Tang
- 1988
|
|
8
|
Design of FIR filters in the complex domain
– Chen, Parks
- 1987
|
|
8
|
Some advanced topics in filter design
– Schussler, Steffen
- 1988
|
|
7
|
Optimal design of fir filters with the complex chebyshev error criteria
– Burnside, Parks
- 1995
|
|
7
|
FIR filter design in the complex domain by a semi-infinite programming technique. Archiv fur Elektronik und Ubertragungstechnik, 48:I. The method: 135--144
– Potchinkov, Reemtsen
- 1994
|
|
6
|
Simultaneous design in both magnitude and group-delay of IIR and FIR filters based on multiple criterion optimization
– Cortelazzo, Lightner
- 1984
|
|
6
|
Entwurf digitaler FIR-Filter mit Methoden der konvexen semi-infiniten Optimierung
– Der
- 1994
|
|
6
|
Ein Beitrag zum Entwurf nichtrekursiver Filter
– Schulist
- 1992
|
|
6
|
The design of FIR filters in the complex plane by convex optimization
– Potchinkov, Reemtsen
- 1995
|
|
6
|
Numerical methods for semi-infinite programming: A survey
– Reemtsen, Gorner
- 1998
|
|
5
|
A technique for multiple criterion approximation of FIR filters in magnitude and group delay
– Calvagno, Cortelazzo, et al.
- 1995
|
|
5
|
Tits. Feasible sequential quadratic programming for finely discretized problems from SIP
– Lawrence, L
- 1998
|
|
5
|
Numerical methods for semi-in programming: a survey
– Reemtsen, Gorner
- 1998
|
|
5
|
Design of FIR digital phase networks
– Steiglitz
- 1981
|
|
5
|
Design of linear or minimum-phase FIR filters by constrained Chebyshev approximation
– Grenez
- 1983
|
|
4
|
FIR design in the complex domain by a semi-in programming technique. Archiv fur Elektronik und Ubertragungstechnik, 48:I. The method
– Potchinkov, Reemtsen
- 1994
|
|
4
|
A cutting plane method for solving minimax problems in the complex plane. Numerical Algorithms
– Reemtsen
- 1992
|
|
4
|
Design and characterization of optimal FIR filters with arbitrary phase
– Alkhairy, Christian, et al.
- 1993
|
|
4
|
FIR filter design in regard to frequency response, magnitude, and phase by semi-infinite programming
– Reemtsen, Potchinkov
- 1996
|
|
4
|
An l 1 -approximation based method for synthesizing FIR filters
– Yu, Fong, et al.
- 1992
|
|
3
|
Design and characterization of optimal FIR with arbitrary phase
– Alkhairy, Christian, et al.
- 1993
|
|
3
|
Optimal design of FIR with the complex Chebyshev error criteria
– Burnside, Parks
- 1995
|
|
3
|
The design of FIR in the complex plane by convex optimization
– Potchinkov, Reemtsen
- 1995
|
|
3
|
The simultaneous approximation of magnitude and phase by FIR digital filters
– Potchinkov, Reemtsen
- 1997
|
|
3
|
Design approximation problems for linear-phase nonrecursive digital Submitted for publication (Until publication a ps- is found on the internet site http://www.math.tu-cottbus.de/INSTITUT/lsing1/publications e.html
– Reemtsen
|
|
3
|
Frequency and magnitude response design approximation problems for nonlinear-phase nonrecursive digital Sumitted for publication (Until publication a ps- is found on the internet site http://www.math.tucottbus. de/INSTITUT/lsing1/publications e.html
– Reemtsen
|
|
3
|
Some advanced topics in design
– Schussler, Steen
- 1988
|
|
3
|
FIR design via spectral factorization and convex optimization
– Wu, Boyd, et al.
- 1997
|
|
2
|
A low noise, low distortion design for anti-aliasing and anti-imaging filters
– Downs
|
|
2
|
Ein Hybridverfahren zur Losung nichtlinearer semi-in Optimierungsprobleme
– Gorner
- 1997
|
|
2
|
Design of linear or minimum-phase FIR by constrained Chebyshev approximation
– Grenez
- 1983
|
|
2
|
Algorithms for the Constrained Design of Digital Filters with Arbitrary Magnitude and Phase Responses
– Lang
- 1999
|
|
2
|
Design of real FIR with arbitrary complex frequency responses by two real Chebyshev approximations
– Pei, Shyu
- 1992
|
|
2
|
Design of optimal linear phase FIR by a semi-in programming technique
– Potchinkov
- 1997
|
|
2
|
Entwurf minimalphasiger nichtrekursiver digitaler Filter mit Verfahren der nichtlinearen Optimierung. Frequenz
– Potchinkov
- 1997
|
|
2
|
FIR design problems of simultaneous approximation of magnitude and phase and magnitude and group delay. Submitted for publication (Until publication a ps- is found on the internet site given for [9
– Reemtsen
|
|
2
|
FIR design in regard to frequency response, magnitude, and phase by semi-in programming
– Reemtsen, Potchinkov
- 1996
|
|
2
|
Digitale Signalverarbeitung 1
– Schussler
- 1994
|
|
2
|
An l 1 -approximation based method for synthesizing FIR
– Yu, Fong, et al.
- 1992
|
|
2
|
Design of optimal linear phase FIR filters by a semi-infinite programming technique
– Potchinkov
- 1997
|
|
2
|
Design problems for nonrecursive digital filters I and II
– Reemtsen
- 1997
|
|
1
|
Design of FIR with complex desired frequency response using a generalized Remez algorithm
– Komodromos, Russell, et al.
- 1995
|
|
