Optimal design of multichannel transmultiplexers with stopband energy and passband magnitude constraints
Yang Shi, Tongwen Chen · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · 2003
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.