Universal source coding with codebook transmission

A universal source coding system with vector quantizer codebook transmissions is studied using high resolution quantization theory. Conditions are derived for the optimal tradeoff between quantizer resolution and the information rate used to transmit codebooks. A formula that tightly bounds the mean squared error of the universal coding system as a function of the time between codebook transmissions is experimentally verified and found to be tight, and a new and simpler derivation is given. Other research in the literature has proposed vector quantizing the transmitted codebooks; one conclusion we prove here is that under some reasonable conditions uniform scalar quantization of the transmitted codebooks performs as well as vector quantizing them. Experimental results are given that support the analytic derivations