Generalized likelihood-ratio detection of multiple-hop frequency-hopping signals

A noncoherent receiver that detects multiple-hop frequency-hopping (FH) signals is developed based on a generalized likelihood-ratio test (GLRT) theory. Hop rate, hop transition times and the set of candidate carrier frequencies are assumed to be known. The proposed receiver has a simple architecture and consists of a bank of envelope filters, a maximum operator, an accumulator, and a threshold device. For a large number of the observed signal hops, this receiver is analyzed on the basis of a central-limit-theorem (CLT) argument. A simple formula that relates the detection probability, the false alarm probability, and the signal-to-noise ratio is found adequate for the performance measure. This CLT-based analysis was justified by simulation