DETECTION OF A SIGNAL WITH AN UNKNOWN PARAMETER.
BELL TELEPHONE LABS INC WHIPPANY N J
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Preliminary consideration is given to the general problem of the detection of a signal that depends on an unknown parameter. Two detection procedures are contrasted 1 a likelihood ratio detector plus maximum likelihood estimator, and 2 a combined maximum likelihood detector and estimator. The latter has the apparent advantage of not requiring a priori knowledge of the distribution of the parameter, but this oft-stated advantage is shown to be misleading. Special cases considered indicate that the former procedure, which has a firmer theoretical basis, becomes relatively insensitive to a priori knowledge when sufficient data are present. Author
- Non-Radio Communications