way to detect a number of transient signals with unknown arrival times or positions in the presence of additive noise gaussiskt and a detector using the method

摘要

The method and detector are for the detection of multiple transient signals with unknown arrival times or locations in the presence of additive Gaussian noise. The likelihood ratio /1 is under the assumption that there is one pulse in the interval, calculated as /1 = L(Y0T)=T-Tx integral L(YTT+Tx/approximatelyh)Pr (tau) dtau Then, the likelihood ratios /1, /2, ......, /M, ......, /MTOT are calculated as /M = (/1)M where /M is the likelihood ratio under the assumption that there exactly M pulses in the interval, M = 1, 2, ..., MTOT. Finally, the likelihood ratio for a case with up to MTOT signals with unknown arrival times is, under the assumption that there are M pulses in the interval with the probability mass function P(M), calculated as a weighted sum / = P(1) x /1 + P(2) x /2 + ... + P(M) x /M + ... + P(MTOT) x /MTOT, and the sum is compared with a threshold value for deciding the question of detection.