False Alarm Regulation for Off-Grid Target Detection With The Matched Filter

Pierre Develter (1, 2) , Jonathan Bosse (1) , Olivier Rabaste (1) , Philippe Forster (3) , Jean-Philippe Ovarlez (1, 2)

1 DEMR, ONERA, Université Paris Saclay [Palaiseau]
2 SONDRA - Sondra, CentraleSupélec, Université Paris-Saclay
3 SATIE - Systèmes et Applications des Technologies de l'Information et de l'Energie

In the state-of-the-art, the Probability of False Alarm (P F A)threshold relationship for the popular Matched Filter (MF) is often derived assuming that unknown non-linear parameters lie on a grid. However, these parameters vary continuously in practice. This is known as the off-grid case. In this article, an asymptotic P F A-threshold relationship for the popular Matched Filter is derived in the off-grid case under complex white Gaussian noise hypothesis using expected Euler characteristics. This asymptotic relationship fits very well with corresponding Monte-Carlo trials in the moderate to low P F A regime.

Mots clés: Radar detection; Off-Grid; GLRT; Matched Filter; False Alarm Regulation

Domaines: Traitement du signal et de l'image [eess.SP]

Pierre Develter, Jonathan Bosse, Olivier Rabaste, Philippe Forster, Jean-Philippe Ovarlez. False Alarm Regulation for Off-Grid Target Detection With The Matched Filter. ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Jun 2023, Rhodes, Greece. pp.1-5, ⟨10.1109/ICASSP49357.2023.10094625⟩. ⟨hal-04473604⟩