Abstract:

Frequency agile radar (FAR) significantly outperforms the traditional pulse-Doppler radar in the term of electronic counter-countermeasures, which applies constant carrier frequencies. However, FAR that uses matched filtering encounters problem of severe sidelobe pedestal, hindering its compatibility with moving target detection. Compressed sensing (CS) methods reconstruct target parameters by solving an under determined linear equation, hence relieve the sidelobe pedestal issue. It is a fundamental study to analyze whether FAR exactly recovers target with CS methods. This paper comprehensively reviews the state-of-the-art researches in this topic. Recent efforts derive closed-form phase transition curves, and reveal that these curves explicitly demonstrate the relationship between success rates of sparse recovery and parameters of the radar system as well as the observed scene. The theoretical performance bound is approximate to the results in practical simulations. The applicability of these theoretical results in practical scenarios and future research directions are discussed.

Key words: frequency agile radar, compressed sensing, performance bound, phase transition