DocumentCode :
913437
Title :
Geometry of optimum incoherent detection
Author :
Blachman, Nelson M.
Volume :
16
Issue :
2
fYear :
1970
fDate :
3/1/1970 12:00:00 AM
Firstpage :
202
Lastpage :
205
Abstract :
The problem of distinguishing between two narrow-band signals in the presence of additive Gaussian noise when the forms of both signals are known except for phase is basically four dimensional, as the lack of phase information turns signal vectors into signal circles. The geometry of signal vectors and of the planes of signal circles is shown to account for the optimality of matched-filter detection. In the case of equal-energy equiprobable signals, it leads to the conclusion that a large variety of different pairs Of filters will perform exactly like a pair of matched filters. One such pair has orthogonal impulse responses, and its performance is, therefore, relatively easy to determine.
Keywords :
Signal detection; Information geometry; Information theory; Matched filters; Radar applications; Radar detection; Radar imaging; Radar theory; Signal resolution; Signal synthesis; Spectral analysis;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1970.1054416
Filename :
1054416
Link To Document :
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