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This paper provides a new approach for modeling of vector quantizer(VQ) followed by analysis and design of subband codecs with imbedded VQ’s. We compute the mean squared reconstruction error(MSE) which depend on  the number of entries in each codebook,  the length of each codeword, and on the filter bank(FB) coefficients in subband codecs. We show that the optimum  -band filter bank structure in presence of  -optimized vector quantizer can be designed by a suitable choice of equivalent scalar quantizer parameters. Specific design examples have been developed for two different classes of filter banks, paraunitary and the biorthogonal FB and the 2 channel case. These theoretical results are confirmed by Monte Carlo simulation.

A Study on Optimum Subband Filter Bank Design Using Vector Quantizer