Detection of Known Signals in Additive Noise
In this chapter we will begin our description of signal detection schemes for non-Gaussian noise by consideringn one of the simplest to formulate and most commonly encountered of all detection problems.This is the detection of real-valued deterministic signal which is completely know in a background of additive noise. We shall be concerned exclusively with discrete-time detection problems in this book. In many applications discrete-time observations are obtained by sampling at a uniform rate same underlying continuous-time observation process. In the next section we will give the example of detection of a pulse train in additive noise to illustrate how a discrete-time detection problem may arise in a different manner from an original problem formulation in the continuous-time domain.
KeywordsDetection Probability Pulse Train Gaussian Approximation Optimum Detector Noise Density
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