Error probabilities of an FFT-based FFH/BFSK linear-combining receiver with partial-band noise jamming and AWGN

Abstract

This paper presents the performance analysis of a fast frequency-hopped binary frequency-shift-keying (FFH/BFSK) linear-combining receiver in conjunction with a fast Fourier transform (FFT) processor. Under the conditions of partial-band noise jamming (PBNJ) and additive white Gaussian noise (AWGN), the bit-error rate (BER) expressions of the proposed FFT-based linear-combining receiver are derived in terms of the characteristic functions of the decision statistics. The BER expressions, validated by simulation results, are applicable to any arbitrary diversity level. The proposed FFT-based receiver provides an alternative to the conventional matched-filter receiver. The FFT-based receiver is shown to give comparable performance with the corresponding matched-filter receiver. The worst-case PBNJ fraction is shown to be inversely proportional to the signal-to-jamming ratio and the performance of the FFT-based linear-combining receiver is degraded as the diversity level is increased.