Marcum's and swerling's data on target detection by a pulsed radar
The Johns Hopkins University, Applied Physics Laboratory - Technology & Engineering - 85 pages
Marcum has produced a definitive treatment of the statistical problem of target detection by a pulse radar. The text and graphs of Marcum's papers are presented in terms so highly mathematical that his results may not appear as useful as they really are. The purpose of this memo is to describe the problem that Marcum solved and to present graphs of more extensive and more accurate computed data in a form which may prove more useful for most applications. Nothing new is added from the statistical viewpoint. Those interested in the mathematical development are referred to Studies of Target Detection by Pulsed Radar, IRE Transactions Volume IT-6, No. 2, April 1960.
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99.99 PROBABILITY Appendix APPLIED PHYSICS LABORATORY beam shape bias level carrier wave characteristic function coherent integrator collapsing loss combined square contour integration deflection criterion DETECTING A FLUCTUATING DETECTING A NON-FLUCTUATING detection a function detection criteria detection probability detector and integrator equation 9 false alarm number FLUCTUATING TARGET Hopkins University APPLIED incomplete gamma functions integrated coherently LABORATORY Silver Spring linear law Marcum eq Marcum's results Maryland maximum term mean square noise microfiche noise energy noise power noise pulses noise ratio NON-FLUCTUATING TARGET 0.01 NON-FLUCTUATING TARGET Pulses NTIS number of pulses number of range output PHYSICS LABORATORY Silver probability distribution function PROBABILITY OF DETECTING pulse radar pulses are integrated range equation range gates Reference root mean square scan signal and noise signal-to-noise ratio significant digits SRIM summation target detection target echo TARGET Pulses Integrated term is identified thermal noise threshold transmitted pulse University APPLIED PHYSICS value of signal-to-noise voltage