Applications of Ali-Silvey Distance Measures in the Design of Generalized Quantizers for Binary Decision Systems

H. Vincent Poor, John B. Thomas

Research output: Contribution to journalArticlepeer-review

114 Scopus citations


The Ali-Silvey class of distance measures is applied to the problem of designing quantizers for use in binary detection systems. To find optimal solutions the notion of quantization must be generalized slightly, and necessary conditions are established for the selection of quantizer parameters in this context. Local, or small-signal, conditions are also derived and these are seen to agree with asymptotic results based on Pitman efficiency. As an example, four-level generalized quantization for detecting a constant signal in additive generalized-Gaussian noise is investigated.

Original languageEnglish (US)
Pages (from-to)893-900
Number of pages8
JournalIEEE Transactions on Communications
Issue number9
StatePublished - Sep 1977

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this