Title :
Optimum window design by semi-infinite quadratic programming
Author :
Nordebo, Sven ; Claesson, Ingvar ; Zang, Zhuquan
Author_Institution :
Dept. of Signal Process., Univ. of Karlskrona/Ronneby, Sweden
Abstract :
This letter presents a new extended active set strategy for optimum finite impulse response (FIR) window design by semi-infinite quadratic programming. The windows may be asymmetric corresponding to frequency responses with general nonlinear phase. The optimality criterion is to minimize the sidelobe energy (L/sub 2/-norm) subject to a peak sidelobe magnitude-constraint (L/sub /spl infin//-constraint). Additional linear constraints are used to form the mainlobe (unity DC gain). Numerical examples involving group delay specifications are used to illustrate the usefulness of the algorithm.
Keywords :
FIR filters; constraint theory; frequency response; minimisation; quadratic programming; signal processing; FIR window design; asymmetric windows; extended active set strategy; finite impulse response window design; frequency response; group delay specifications; linear constraints; nonlinear phase; numerical examples; optimality criterion; optimum window design; peak sidelobe magnitude-constraint; semi-infinite quadratic programming; sidelobe energy minimisation; signal processing; unity DC gain; Australia; Delay; Finite impulse response filter; Frequency; Least squares approximation; Least squares methods; Minimax techniques; Quadratic programming; Signal processing; Signal processing algorithms;
Journal_Title :
Signal Processing Letters, IEEE
