3 September 2008 Estimating delay and Doppler from a super resolution delay function
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Presented is a super resolution method for estimating the relative time delay of transmitted and received signals. The method is applied to the problem of accurately estimating both delay and Doppler effects from transmitted and received signals where the transmitter and receiver are moving with respect to each other. Unlike conventional methods based on the cross-ambiguity function (CAF), we use only the crosscorrelation function and estimate only delay with enough accuracy that accurate scale estimates may be obtained from the delay function. While CAF processes are two dimensional and are based on a linear approximation of the Doppler process, the method presented here represents a one dimensional solution based on the exact model of the Doppler process. While we address the problem in the context of resolving both delay and Doppler, the method may be used to obtain super resolution estimates of correlation delay in the case that delay is constant.
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D. J. Nelson, D. J. Nelson, "Estimating delay and Doppler from a super resolution delay function", Proc. SPIE 7074, Advanced Signal Processing Algorithms, Architectures, and Implementations XVIII, 70740V (3 September 2008); doi: 10.1117/12.785252; https://doi.org/10.1117/12.785252


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