مرکز منطقه ای اطلاع رساني علوم و فناوري - Multiple detection of a slowly fluctuating target (Corresp.)

Abstract :

A "slowly" fluctuating target is assumed to keep its radar cross section constant for the duration of several $(M)$ dwells on target. To resolve multiple range and/or Doppler ambiguities, the received signal, which is presumably coherently processed (i.e., predetection integrated or matched filtered) over each dwell, must often be tested against a threshold, {em independently} of those on other dwells. Such a procedure is referred to as {em multiple detection}. A technique for the evaluation of a tight lower bound on the multiple-detection probability $P_{M}$ , under Swerling case I statistics for the cross section, is presented in term of an infinite series and worked out in detail for $P_{2}$ and $P_{3}$ . Estimates on the computation error due to the truncation of the series are derived. Numerical results indicate that $P_{3}$ comes much closer to $P_{1}$ than to $p_{1}^{3}$ or even to $P_{1}P_{2}$ ; at an expected signal-to-noise ratio of $13$ dB and at $P_{1} = 0.51$ , it obtains that $P_{3} \\geq 0.40$ , whereas $P_{1}P_{2} = 0.23$ and $p_{1}^{3} = 0.17$ .