The bootstrapped matched filter and its accuracy

We use Edgeworth expansions to show the higher-order accuracy of the bootst rapped matched filter (MF). Specifically, the bootstrapped MF has a probabi lity of false alarm of order n(-1) distant from the preset level, where n i s the sample size. We also show that the order is n(-3/2) for sinusoidal si gnals. Simulation results compare the bootstrapped MF with the classical ME We briefly discuss the bootstrapping approach when the noise variance is u nknown and when signal parameters are unknown.