Coding Gain in Paraunitary Andy sidsynthesis

Subband coders have been used in the past to dex(n) Y b ) compose a signal into subbands. The signals in each subband 4 Hi M F$’(Z) are quantized before transmission. The problem of optimal bit allocation involves allocating bits to the individual quantizers from a fixed budget so as to minimize the overall reconstruction error variance. The problem has been addressed in the past for two cases, namely orthogonal transform coding, and ideal brick-wall filtering. Both of these are special cases of the socalled “Daraunitarv” filter banks. The results which were \’ Ir 4 F)(Z)H+ M e ) ( Z ) k v i L proved f i r these special cases have been used without proof for