Title :
Design of low-delay FIR QMF banks using the Lagrange-multiplier approach
Author :
Abdel-Raheem, Esam ; El-Guibaly, Fayez ; Antoniou, Andreas
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Abstract :
A new approach for the design of two-channel perfect reconstruction FIR filter banks with short reconstruction delays is presented. A low-order filter is first designed and the objective function of the filter bank is formulated as a quadratic programming problem with linear constraints. Then the Lagrange-multiplier method is used to design a higher-order filter. The method is simple, efficient, and flexible and leads to a closed-form solution. Design examples are included to illustrate the advantages of the method
Keywords :
FIR filters; band-pass filters; circuit optimisation; delays; multiplying circuits; quadratic programming; quadrature mirror filters; signal reconstruction; Lagrange-multiplier approach; closed-form solution; higher-order filter; linear constraints; low-delay FIR QMF banks; objective function; quadratic programming problem; reconstruction delays; two-channel perfect reconstruction FIR filter banks; Closed-form solution; Delay; Ear; Equations; Filter bank; Finite impulse response filter; Lagrangian functions; Mirrors; Nonlinear filters; Quadratic programming; Transfer functions;
Conference_Titel :
Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on
Conference_Location :
Lafayette, LA
Print_ISBN :
0-7803-2428-5
DOI :
10.1109/MWSCAS.1994.518993
