Detection of fluctuating pulsed signals in the presence of noise

Abstract

We define x = ratio, at the detector input, of the signal power for the ith pulse to the mean receiver noise power.We assume that x.. is of the following form:where L is a positive integer, and u, . are Gaussian random variables with zero mean.(The x^ are also assumed to be statistically independent of the receiver noise.) 87-8Define the random vectors U (1 ), E by

Search optimization for minimum load under detection performance constraints in multi-function phased array radars

“…The one-off probability of detection can be determined by a universal equation [3] for Swerling target models [21][22][23]; The detection probability of a target by noncoherently integrated pulses is expressed as a function of single-pulse SNR S, false alarm probability P fa , the number of pulses or coherent processing intervals n cpi , and the number of independent Rayleigh-distributed samples n e [20,3]:…”

Estimation of Receiver Operating Characteristic Curves for Multiping Mine Detection Using Empirical Target Data

“…The Rayleigh parameter is equal to the standard deviation of n,^ or Uiy, that is, a";, = CT";^ = CTJ, and fni=p{-,Oi), foralH. Using (3.13), (3.14), and the notation Vj = Sj + nj and Vi = |vi| = |si + ni|, an algebraic manipulation similar to that used in the 1-D case allows one to express (3.16) as /V"...,VM(VI,...,VM)=/ d^s/,,...i^(.i,...,SM) n^%J^, (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17) where The expression (3.21) is the generalization of the well-known result^" that, given two RVs X and y with joint pdf f&y{x, y), the pdf of their sum, z = x + y, is given by /oo fxy{z-w,w) dw . If (3.19) is introduced in (3.21) and the order of integration is changed, the Mdimensional integration in (3.21) will involve only the product of the Rice densities from (3.19), and will represent the convolution of these Rice functions.…”

Detection Performance of the AN/TPN-19 PAR (Precision Approach Radar)

“…The function Srect (3) corresponds to the waveform envelope and is normalized so that the energy in the received signal is v 2 . The quantities wo and wd r,.present the RF center frequency and the doppler frequency, respectively, and the function w(t) is white (;aussian noise present in the receiver.…”