Design of nonuniform filter bank transceivers for frequency selective channels
EURASIP Journal on Applied Signal Processing
Journal of Signal Processing Systems
Information Sciences: an International Journal
Empirical formula for designing a class of linear phase FIR single band PCLS filters
Digital Signal Processing
Hi-index | 35.68 |
This correspondence considers an optimum nonuniform finite impulse response (FIR) transmultiplexer design problem subject to specifications in the frequency domain. Our objective is to minimize the sum of the ripple energy for all the individual filters, subject to the specifications on amplitude and aliasing distortions, and to the passband and stopband specifications for the individual filters. This optimum nonuniform transmultiplexer design problem can be formulated as a quadratic semi-infinite programming problem. The dual parametrization algorithm is extended to this nonuniform transmultiplexer design problem. If the lengths of the filters are sufficiently long and the set of decimation integers is compatible, then a solution exists. Since the problem is formulated as a convex problem, if a solution exists, then the solution obtained is unique, and the local solution is a global minimum.