Time-Varying Cross-Range in Wideband Sonar Imaging

The detection of targets in the received wideband sonar images with a time-varying cross-range parameter is considered. The sonar images are assumed to be sparse, and their reconstruction is possible by using the compressive sensing theory. The Alltop and the Bjorck sequences are used as the transmitted waveforms. In the real-world scenarios, the Doppler shift changes during the transmission, changing the cross-range of the received image as well. These changes make targeting of points more complex or impossible, even in ideal cases (i.e. when the set of measurements is not reduced, or when the signal is strictly sparse). A combination of a simple compressive sensing method and the polynomial Fourier transform as a basis for the estimation of the cross-range parameters is used for a successful localization of target points. The performance for the considered sequences is validated on numerical examples and simulated data.

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