Algorithms for Optimal Multirate Filter Bank Design

This paper is coiiccriied with the problem of tlesigg optimal multirate filter banks. Three desigii crit.eria are considered for linear phase FIR filter hik5: H’ measure, H, aid the mixture of them. -4 closetl-fnriii solution is preseiit.ed for optimal Hz filter bail; tlcssigii. For optimal H, filter bank design, two algoritliiiis are given which involve solving the design probhn risiiig positive semi-definite programming techniques. The mixed H2/H, desigii problem is also solved. Tlie results of this paper are excepted to be useful in applications sucli as speecli codmg, sampling rate coiiv(.wim and multi-stage filtcriiig.