NDLI: The Resolution of Signals in White, Gaussian Noise

Content Provider	IEEE Xplore Digital Library
Author	Helstrom, C.W.
Copyright Year	1931
Abstract	The resolution of two signals of known shapes F1(t) and F2(t) in white Gaussian noise is treated as a problem in statistical decision theory. The observer must decide which of the signals is present with a minimum probability of error. The optimum system for this decision is specified in terms of filters matched to the two signals, the outputs of which are compared. The error probability is exhibited as a function of the cross-correlation of the two signals and of the signal-to-noise ratio. If the phases of the two signals are unknown, as in radar, and if the signals are of equal strength and equal a priori probability, the optimum system consists of filters matched to each of the signals, each followed by a detector. The observer then bases his decision upon which of the detectors has the larger output. The probability of error is computed for this case also.
Starting Page	1111
Ending Page	1118
Page Count	8
File Size	1732066
File Format	PDF
ISSN	00968390
Volume Number	43
Issue Number	9
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1955-09-01
Access Restriction	Subscribed
Rights Holder	The Institute of Radio Engineers, Inc. (IRE)
Subject Keyword	Signal resolution Gaussian noise Matched filters Radar detection Detectors Shape Decision theory Error probability Signal to noise ratio Phase detection
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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