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Conference Papers Year : 2023

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

Abstract

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.
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Dates and versions

hal-04473604 , version 1 (22-02-2024)

Identifiers

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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⟩
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