Multiple description quantization by deterministic annealing
We consider the design of vector quantizers for diversity-based communication over two channels of capacities R/sub 1/ and R/sub 2/ with possibly differing failure probabilities. A multiple description vector quantizer (MDVQ) maps an n-dimensional source vector x to n-dimensional code vectors x/sub ij//sup 0/, x/sub i//sup 1/ and x/sub j//sup 2/ from the code books /spl chi//sup 0/, /spl chi//sup 1/ and /spl chi//sup 2/ respectively. Let d(x,y) be a single-letter distortion measure, and random vectors X and X/sup m/, m=0,1,2 represent the source and decoder outputs respectively. For given values of R/sub 1/, R/sub 2/, /spl lambda/1 and /spl lambda/2 we then wish to find an MDVQ which minimizes the average distortion cost.