Optimal noise-shaping DPCM

This paper presents novel results on the optimal design of Noise-Shaping Differential Pulse-Coded Modulation coders. The main contribution resides in the derivation of explicit analytic formulas for the optimal filters and the minimum achievable frequency weighted reconstruction error. A novel aspect in the analysis is the fact that we account for fed-back quantization noise and that we make no restrictions on the order of the filters deployed.