Title :
Optimal design of multichannel transmultiplexers with stopband energy and passband magnitude constraints
Author :
Shi, Yang ; Chen, Tongwen
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, Alta., Canada
Abstract :
Optimal design incorporating filter stopband energy and passband magnitude constraints is studied for multichannel, uniform, and nonuniform transmultiplexers. Central to the development is a reformulation of the design problem as a quadratic programming problem with quadratic constraints and semi-infinite constraints while the composite distortion measure for reconstruction is minimized. An iterative optimal design procedure for finite-impulse-response synthesis and analysis filters is developed and applied to two design examples, one for the uniform case and another for the nonuniform case based on general building blocks.
Keywords :
FIR filters; circuit optimisation; constraint theory; iterative methods; minimisation; multiplexing equipment; quadratic programming; signal reconstruction; composite distortion measure minimization; design problem reformulation; filter characteristics; filter stopband energy; finite-impulse-response analysis filters; finite-impulse-response synthesis filters; general building blocks; iterative optimal design procedure; multichannel transmultiplexers; multirate signal processing; nonuniform transmultiplexers; optimal design; passband magnitude constraints; quadratic constraints; quadratic programming problem; semi-infinite constraints; signal reconstruction; uniform transmultiplexers; Cost function; Distortion measurement; Filter bank; Frequency; Image reconstruction; Passband; Phase measurement; Quadratic programming; Signal processing; Time division multiplexing;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
DOI :
10.1109/TCSII.2003.816917
