This book contains a unified treatment of a class of problems of
signal detection theory. This is the detection of signals in addi
tive noise which is not required to have Gaussian probability den
sity functions in its statistical description. For the most part
the material developed here can be classified as belonging to the
gen eral body of results of parametric theory. Thus the probability
density functions of the observations are assumed to be known, at
least to within a finite number of unknown parameters in a known
functional form. Of course the focus is on noise which is not
Gaussian; results for Gaussian noise in the problems treated here
become special cases. The contents also form a bridge between the
classical results of signal detection in Gaussian noise and those
of nonparametric and robust signal detection, which are not con
sidered in this book. Three canonical problems of signal detection
in additive noise are covered here. These allow between them
formulation of a range of specific detection problems arising in
applications such as radar and sonar, binary signaling, and pattern
recognition and classification. The simplest to state and perhaps
the most widely studied of all is the problem of detecting a
completely known deterministic signal in noise. Also considered
here is the detection random non-deterministic signal in noise.
Both of these situa of a tions may arise for observation processes
of the low-pass type and also for processes of the band-pass type."
General
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