Interception of frequency hopped spread spectrum signals

Abstract

A frequency-hopped, spread-spectrum signal is modeled as a sinusoid that has one of N random, discrete frequencies. Based on this model, the Neyman-Pearson detection theory is used to derive optimum coherent and noncoherent receiver structures. It is shown that the probability of detection, P/sub D/, approaches, the probability of false alarm, P/sub F/, as N gets large. For large N, simple formulas that relate P/sub D/ to P/sub F/ at a given SNR (signal-to-noise ratio) are given. For a given N, the authors determine the SNR below which interception is impractical as P/sub D/ approximately=P/sub F/. Single-hop and multiple-hop per detection-interval situations are considered.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>