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1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

Abstract : The radar ambiguity function plays a central role in the theory of radar signals. Its absolute value $\abs{Au}$ measures the correlation between the signal $u$ emitted by the radar transmitter and its echo after reaching a moving target. It is important to know signals that give rise to ambiguity functions of given shapes. Therefore, it is also important to know to what extent $\abs{Au}$ determines the signal. This problem is called the -radar ambiguity problem- by Bueckner \cite{Bu}. Using methods developed for phase retrieval problems, we give here a partial answer for some classes of time limited compactly supported signals. In doing so, we also obtain results for Pauli-s problem, in particular, we build functions that have infinitely many Pauli partners.

Keywords : Radar ambiguity problem Pauli partners phase retrieval Paley Wiener theorem

Autor: Philippe Jaming -



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