Quantizers with Uniform Encoders and Channel Optimized Decoders
DCC '02 Proceedings of the Data Compression Conference
Design and analysis of optimal noisy channel quantization with random index assignment
IEEE Transactions on Information Theory
| Hi-index | 754.90 |
It is known that among all redundancy-free codes (or index assignments), the natural binary code minimizes the mean-squared error (MSE) of the uniform source and uniform quantizer on a binary symmetric channel. We derive a code which maximizes the MSE and demonstrate that the code is linear and its distortion is asymptotically equivalent, as the block length grows, to the expected distortion of an index assignment chosen uniformly at random