Abstract
The radar ambiguity function plays a central role in the theory of radar signals. Its absolute value (¦A(u)¦) 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 ¦A(u)¦ determines the signal. This problem is called the “radar ambiguity problem” by Bueckner [5]. 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.
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Jaming, P. Phase retrieval techniques for radar ambiguity problems. The Journal of Fourier Analysis and Applications 5, 309–329 (1999). https://doi.org/10.1007/BF01259373
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DOI: https://doi.org/10.1007/BF01259373