Title :
Convexity properties in binary detection problems
Author_Institution :
Dept. of Electr. Eng., Washington Univ., Seattle, WA, USA
fDate :
7/1/1996 12:00:00 AM
Abstract :
The author investigates the convexity properties of error probability in the detection of binary-valued scalar signals corrupted by additive noise. It is shown that the error probability of the maximum-likelihood receiver is a convex function of the signal power when the noise has a unimodal distribution. Based on this property, the results of the optimal time-sharing strategies of transmitters and jammers, and of the optimal use of multiple channels are obtained
Keywords :
Gaussian noise; digital radio; error statistics; jamming; maximum likelihood detection; probability; radio receivers; radio transmitters; white noise; additive noise Gaussian noise; binary detection problems; binary valued scalar signals; convex function; convexity properties; digital signal detection; error probability; jammers; maximum-likelihood receiver; multiple channels; optimal time-sharing strategies; signal power; transmitters; unimodal distribution; Additive noise; Error probability; Intersymbol interference; Jamming; Maximum likelihood detection; Nonlinear filters; Signal detection; Signal processing; Time sharing computer systems; Transmitters;
Journal_Title :
Information Theory, IEEE Transactions on
