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Ternary Weak-Signal Detection in Non-Gaussian Noise: A Preliminary Analysis for 'H Sub 0 N Vs H Sub 1: N + S Sub 1 Vs H Sub 2: N + S Sub 2' with Independent Sampling

Ternary Weak-Signal Detection in Non-Gaussian Noise: A Preliminary Analysis for 'H Sub 0 N Vs H Sub 1: N + S Sub 1 Vs H Sub 2: N + S Sub 2' with Independent Sampling
Author:
Publisher:
Total Pages: 53
Release: 1992
Genre:
ISBN:

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A general analysis of the Ternary Class (M = 2): H sub 0: N vs H sub 1: S1+ N vs H sub 2: S sub 2 + N of signal detection problems is is presented, for completely general signals, i.e., both broadband narrow-band, deterministic or random, in generalized (i.e., non-Gaussian) noise, in the limiting threshold regime. This includes optimum threshold algorithms and system performance, as measured by the appropriate error and detection probabilities. The present treatment, however, is subject to the following constraints: (1) independent noise sampling; (2) ambient noise models, i.e., noise independent of the signals; (3) uniform cost functions, e.g., C sub o (> 0) for errors, and C sub 1 = 0 for correct decisions. Under these conditions, only three principal parameters are needed: delta 12, delta 22 = signal detection parameters (= 'output (S/N) 2') and the correlation coefficient P sub 12 (= P) between the two (threshold) test statistics (or detection 'algorithms') Z sub 1, Z sub 2, apart from the a priori probabilities (q, p sub 1, P sub 2) of the presence of noise alone, S dub 1, and S sub 2. Next steps, to extend the treatment to the general case (M = 3): H sub 1: N + S sub 1, vs H sub 2: S sub 2 + N vs H sub 3 : S sub 3 + N, and to include correlated noise samples, are noted ... Ternary detection, Coherent and incoherent reception, Threshold signal detection, Generalized noise.


On the Problem of Optimal Signal Detection in Discrete-Time, Correlated, Non-Gaussian Noise

On the Problem of Optimal Signal Detection in Discrete-Time, Correlated, Non-Gaussian Noise
Author: K. J. Sangston
Publisher:
Total Pages: 25
Release: 1989
Genre:
ISBN:

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Recent results of the detection of signals in discrete-time correlated, non-Gaussian noise in which the univariate statistics and a general covariance structure of the noise are known have been obtained. the results are predicted on the assumption that a solution to the signal detection problem based on knowledge of univariate statistics and a convariance structure is 'reasonable, ' even though it is known that in general a non-Gaussian noise process is not completely specified by such information. to examine this issue of 'reasonableness, ' we present two general non-Gaussian noise models that are equivalent in these assumed attributes and yet lead to fundamentally different detection structures. This difference in the detection structures indicate the signal detection problem is not adequately formulated without additional knowledge of the structure of the non-Gaussian noise process. We further present a specific radar example to quantify the difference in the detection structures. (rh).