Abstract
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 language | English |
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Pages (from-to) | 533-536 |
Number of pages | 4 |
Journal | IEEE Transactions on Information Theory |
Volume | 41 |
Issue number | 2 |
DOIs | |
State | Published - Mar 1995 |
Keywords
- Signal detection
- composite hypotheses testing
- signal design