Optimisation of quantisation based on rth-power distortion measures

Fu‐Sheng Lu · IEE Proceedings F Radar and Signal Processing · 1989

Quantisation is an important technique for data compression, and quantisation distortion is usually an unavoidable error in signal processing. An efficient algorithm is presented for the design of minimum-mean-rth-power distortion, scalar quantisers with a fixed number of reconstruction levels. The properties of this design algorithm are discussed and demonstrated by numerical examples. For minimum-mean-absolute-error quantisation, simple explicit design formulas for Laplace-distributed signals are also derived. The method provided in the paper is applicable to quite general distributed signals.

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