Title :
Using unconstrained optimization in the design of two-channel perfect-reconstruction linear-phase FIR filter banks
Author :
Saghizadeh, Parviz ; Wilson, A.N.
Author_Institution :
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
Abstract :
A new approach is presented for the design of two-channel perfect-reconstruction (PR) FIR filter banks employing linear-phase analysis and synthesis filters. The approach guarantees the designed filter bank to be PR through a set of implicit mathematical relationships. Furthermore, the approach formulates the design as an unconstrained quadratic programming problem to simultaneously optimize the frequency responses of the analysis and synthesis filters. The criterion for optimality is “least-squares”. The design technique is extendable to M-channel (M⩾2), and this extension is currently under development
Keywords :
FIR filters; delay circuits; digital filters; filtering theory; frequency response; quadratic programming; design technique; frequency responses; linear-phase FIR filter banks; perfect-reconstruction type; two-channel filter banks; unconstrained optimization; unconstrained quadratic programming problem; Channel bank filters; Constraint optimization; Design engineering; Design optimization; Equations; Filter bank; Finite impulse response filter; Fixed-point arithmetic; Frequency synthesizers; Lagrangian functions; Lattices; Quadratic programming;
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.1994.518992
