Method and system for coding signals using distributed coding and non-monotonic quantization

Abstract

A decoder includes a memory storing a map of a space of encoded values. The map includes a plurality of cells partitioning the space, such that each cell encloses a cluster of encoded values and quantizes the cluster of encoded values to a quantized encoded value. Each cell is identified by a label selected from a finite alphabet, such that multiple cells in the map are identified by the same label, and the cells are labeled such that a pair of cells identified by the same label does not share a common boarder. The decoder also includes a receiver to receive from an encoder a label of a cell enclosing an encoded value on the map of the space and a processor to estimate the encoded value using side information to produce an estimation of the encoded value, to select a cell identified by the received label on the map of the multi-dimensional space that is the closest to the estimation of encoded value, and to determine the encoded value as the quantized encoded value of the selected cell.