On Maximum-Likelihood Detection for Non-coherent FH/BFSK in Multitone Jamming

We derive the optimum maximum-likelihood (ML) non-coherent detector for FH/BFSK systems in the environment of multitone jamming and additive white Gaussian noise with no aid of jamming state indication and the resultant signalplus-jammer tone, which, however, were required in K. C. Teh’s previous work [1]. Because of the optimum ML detector’s huge complexity, a novel complexity-reduced scheme which is called joint-suboptimum maximum-likelihood (JSML) detector is proposed. Simulation results show the superiority of the proposed optimum ML and JSML detectors over other existing diversity combining approaches. The performance analysis in terms of bit error probability (BEP) for the JSML detector with single diversity in n = 1 and n = 2 band multitone jamming (BMJ) is provided and further validated by simulation results. In moderate and high SNR conditions, though the proposed JSML detector performs slightly worse than the optimum ML detector, it does achieve much complexity reduction.