Math @ Duke

Publications [#235780] of Robert Calderbank
Papers Published
 Harms, A; Bajwa, WU; Calderbank, R, Rapid sensing of underutilized, wideband spectrum using the Random Demodulator,
Conference Record of the Asilomar Conference on Signals, Systems and Computers
(2012),
pp. 19401944, ISSN 10586393 [doi]
(last updated on 2017/12/17)
Abstract: Efficient spectrum sensing is an important problem given the large and increasing demand for wireless spectrum and the need to protect incumbent users. We can more efficiently use large swaths of underutilized spectrum by designing spectrum sensors that can quickly, and powerefficiently, find and opportunistically communicate over unused (or underutilized) pieces of spectrum, such as television bands. In this paper, we concentrate on a particular sensing architecture, the Random Demodulator (RD), and look at two aspects of the problem. First, we offer fundamental limits on how efficiently any algorithm can perform the sensing operation with the RD. Second, we analyze a very simple, lowcomplexity algorithm called onestep thresholding that has been shown to work nearoptimally for certain measurement classes in a low SNR setting or when the nonzero input coefficients are nearly equal. We rigorously establish that the RD architecture is wellsuited for nearoptimal recovery of the locations of the nonzero frequency coefficients in similar settings using onestep thresholding and perform numerical experiments to offer some confirmation of our results. © 2012 IEEE.


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