Optimal multiresolution quantization for broadcast channels with random index assignment

This paper studies the design and analysis of multiresolution vector quantization (MRVQ) for broadcast channels. Given a broadcast system with MRVQ, a random index assignment, and a coded broadcast channel, we first obtain a closed-form formula for the weighted end-to-end distortion (EED) of the system. Based on the formula, an iterative algorithm is then proposed for designing optimal MRVQ for the broadcast system. Experimental results demonstrate that multiresolution quantizers jointly designed with channel conditions by the proposed algorithm significantly reduce the weighted EED in comparison with multiresolution quantizers designed without reference to channel conditions.