In many radar scenarios, the radar target or the medium is assumed to possess randomly varying parts. The properties of a target are described by a random process known as the spreading function. Its second order statistics under the WSSUS assumption are given by the scattering function. Recent developments in the operator identification theory suggest a channel sounding procedure that allows to determine the spreading function given complete statistical knowledge of the operator echo. We show that in a continuous model it is indeed theoretically possible to identify a scattering function of an overspread target given full statistics of a received echo from a single sounding by a custom weighted delta train. Our results apply whenever the scattering function is supported on a set of area less than one. Absent such complete statistics, we construct and analyze an estimator that can be used as a replacement of the averaged periodogram estimator in case of poor geometry of the support set of the scattering function. * O. Oktay, G. E. Pfander and P. Zheltov are with Jacobs University Bremen
We record a C-alphabet case for Σ∆ quantization for finite frames. The basic theory and error analysis are presented in the case of bounded frame variation for a given sequence {F N } for frames for C d . If bounded frame variation is not available for the given sequence, then there is still a satisfactory error analysis depending on the correct permutation of each F N . An algorithm is designed to construct this permutation, and relevant simulations and examples are given.
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