Analysis of in-band interference in noise-based frequency offset modulation

A noise-based frequency offset modulation (N-FOM) system is considered, employing a wideband noise carrier, transmit reference modulation and a self-correlation receiver. The performance of such a system in the presence of in-band interference is studied by modeling the interference as a Gaussian random bandpass process and deriving a closed-form expression for the bit error rate (BER). A numerical example shows that the in-band interference has a significant impact on the performance and that the BER decreases with increasing bandwidth of the interference. The performance degradation can be reduced by a suitable choice of the frequency offset