Single-tone interference in noise-based frequency offset modulation

A noise-based frequency offset modulation (N-FOM) system is studied in the presence of a single-tone interferer. A closed-form expression for the signal-to-noise ratio is derived and the asymptotic limit of the performance is calculated. The results show that by choosing a suitable value of the frequency offset, the N-FOM system can have an acceptable performance in the presence of single-tone interference, particularly in comparison with modulated interference. However, due to the self-correlation operation of the N-FOM receiver, many interference cross-terms are produced. This increases the overall noise which can restrict N-FOM communication in a high-interference regime