Min-Max Signal Design for Detection Subject to Linear Distortion

Boaz Rippin, Ehud Weinstein

Research output: Contribution to journalArticlepeer-review


We consider the problem of deciding between M signals that are observed through an unknown FIR system (channel). We suggest a generalized likelihood ratio test, and develop an upper bound on the detection performance under the worst possible channel. We then suggest a signal design strategy that is immune to the unknown channel effect, in which we construct the transmitted signals using an autoregressive mechanism. The signals in this class are distinguished only by the location of their poles. We show that in some cases these signal designs achieve the bound.

Original languageEnglish
Pages (from-to)533-536
Number of pages4
JournalIEEE Transactions on Information Theory
Issue number2
StatePublished - Mar 1995


  • Signal detection
  • composite hypotheses testing
  • signal design


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