Xref: funic sci.engr:4904 sci.geo.geology:6135 sci.optics:2886 sci.physics:45879 sci.stat.consult:1079 Newsgroups: sci.engr,sci.geo.geology,sci.optics,sci.physics,sci.stat.consult Path: funic!news.funet.fi!sunic!pipex!howland.reston.ans.net!math.ohio-state.edu!cs.utexas.edu!csc.ti.com!tilde.csc.ti.com!mksol!blair From: blair@mksol.dseg.ti.com (arthur blair) Subject: Re: Multiple Detections of a Signal Message-ID: <1993Oct8.224722.16945@mksol.dseg.ti.com> Followup-To: sci.engr,sci.geo.geology,sci.optics,sci.physics,sci.stat.consult Organization: Texas Instruments Inc X-Newsreader: TIN [version 1.2 PL0] References: Distribution: sci Date: Fri, 8 Oct 1993 22:47:22 GMT Lines: 37 T. Joseph Lazio (lazio@astrosun.tn.cornell.edu) wrote: : I'm currently working on a project involving the detection of : signals whose amplitudes vary in a stochastic manner. The : probability of detecting such a signal is a fairly basic : problem involving the false-alarm probability and : missed signal probability (e.g. DiFranco & Rubin, _Radar : Detection_). The problem at hand is that it is not sufficient : to obtain one detection of the signal, a followup or confirmation : detection is required. : In principle, it is fairly simple to calculate the probability : of detecting a signal m times in N independent trials, given : that the probability of detection in one trial is p. In : practice, it would seem to me that the strategies one would : employ would differ depending upon whether the signal : statistics were known or not, the noise statistics were known : or not, the number of trials was unlimited or not, etc. : I've been looking for discussion of this problem in the radar, : optics, seismology, information theory, and communication theory : literature. Thus far, I've been spectacularly unsuccessful. I'm : not sure if it is because I'm not looking in the right place or : if the answer is staring me in the face. : : I'd appreciate any leads people could offer. If it really is : in the basic texts, feel free to flame away, but any references : to review papers or recent work in any of the above fields is : welcome as well. Thanks in advance. : -- : | e-mail: lazio@astrosun.tn.cornell.edu : T. Joseph W. Lazio | phone: (607) 255-6420 I cant point you to anything specific but the problem is probably addressed in an Electronic Warfare text, like Tsui, Wiley, or Lipsky. You can find alot of EW books from Artech House. Art.