Design of nonuniform near allpass complementary FIR filters via a semi-infinite programming technique

• Published in: IEEE transactions on signal processing Vol. 53; no. 1; pp. 376 - 380
• Main Authors: Ho, C.Y.F., Ling, B.W.K., Liu, Y., Tam, P.K.S., Teo, K.L.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.01.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Allpass complementary FIR filters; Applied sciences; Band pass filters; Detection, estimation, filtering, equalization, prediction; dual parameterization; Exact sciences and technology; Finite impulse response filter; Frequency; Impulse response; Information, signal and communications theory; Linear programming; Linear quadratic; Mathematical analysis; Mathematics; Nonuniform; nonuniform frequency bands; Parametrization; Passband; Programming; Quadratic programming; Ripples; semi-infinite programming; Signal analysis; Signal and communications theory; Signal processing algorithms; Signal reconstruction; Signal, noise; Specifications; Telecommunications and information theory; Simulation; nonuniform frequency bands; Semi infinite programming; System design; Finite impulse response filter; semi-infinite programming; Parameterization; Allpass complementary FIR filters; Optimization; dual parameterization
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/TSP.2004.838960

In this correspondence, we consider the problem of designing a set of nonuniform near allpass complementary finite impulse response (FIR) filters. This problem can be formulated as a quadratic semi-infinite programming problem, where the objective is to minimize the sum of the ripple energy for the individual filters, subject to the passband and stopband specifications as well as to the allpass complementary specification. The dual parameterization method is used for solving the linear quadratic semi-infinite programming problem.