Math @ Duke

Publications [#235744] of Robert Calderbank
Papers Published
 Harms, A; Bajwa, W; Calderbank, R, Efficient linear timevarying system identification using chirp waveforms,
Conference Record of the Asilomar Conference on Signals, Systems and Computers, vol. 2015April
(January, 2015),
pp. 854858, ISSN 10586393, ISBN 9781479982974 [doi]
(last updated on 2018/06/22)
Abstract: © 2014 IEEE. Linear, timevarying (LTV) systems are operators composed of time shifts, frequency shifts, and complex amplitude scalings that act on continuous finiteenergy waveforms. This paper builds upon a novel, resourceefficient method previously proposed by the authors for identifying the parametric description of such systems from the sampled response to linear frequency modulated (LFM) waveforms. If the LTV operator is probed with a sufficiently diverse set of LFM pulses, more LFM pulses than reflectors, then the system can be identified with high accuracy. The accuracy is shown to be proportional to the uncertainty in the estimated frequencies and confirmed with numerical experiments.


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