ℋ2 optimization applied to general transmultiplexer design

The paper considers design of multi-channel, nonuniform-band transmultiplexers using H₂ optimization. General dual-rate structures are used to provide more design freedom. Such general transmultiplexers have a new source of error called aliasing distortion. We propose a composite error criterion which captures all distortions in one, develop an optimal design procedure and apply it to a three-channel nonuniform example, yielding a FIR transmultiplexer which has good frequency limiting properties in the synthesis end and is very close to perfect reconstruction