Minimum-distortion functional for one-dimensional quantisation

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The minimum rth-mean distortion resulting from quantisation of a one-dimensional signal is considered. In particular, the worst-case value of this minimum distortion is examined for signals satisfying rth-moment constraints. Numerical results are presented for the particular cases of minimum-mean-squared-error (r = 2) and minimum-mean-absolute-error (r = 1) quantisation.

Original languageEnglish (US)
Pages (from-to)23-25
Number of pages3
JournalElectronics Letters
Issue number1
StatePublished - Jan 3 1980
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


  • Digital signal processing
  • Quantisation

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