Detection of uncertain multiple cisoid models

The problem of detection of multiple complex sinusoidals, with uncertain parameters, is addressed in this paper. It is shown that uncertainties in amplitude and small uncertainties in frequency can be handled analytically, while unknown phases must be handled numerically. Robust detectors for some or all of the uncertainties are formulated. Performance in noise, and robustness are evaluated through simulations. Finally the applicability of the detectors for the problem of radar target recognition is discussed, and some results are presented