Retracted: An Independent Reconstruction Error Using Randomized Quantization

Abstract

The analyze of optimal randomized quantization is the existence of an optimal (minimum distortion) randomized quantizer having a fixed output distribution under various conditions. For source with densities and the mean square distortion measure, This optimum can be attained by randomizing quantizer. The source achieve an independent quantization error. The reconstruction error is deterministic function which is never render the quantization error independent of source. Also implement the optimal quantizer from conventional uniform quantizer. The dither signal is matched to the uniform quantization interval while maintaining independence of the source. The propose dithering in the companded domain. The derivation of the closed form necessary conditions for optimality of the compressor and expander mappings for both fixed and variable rate randomized quantization. In numerically optimize the mappings by iteratively imposing these necessary conditions. The experimental results show that optimal quantizer performance for both fixed and variable rate and correlation of reconstruction error.