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Event-triggered Sampling and Reconstruction of Sparse Real-valued Trigonometric Polynomials

Sharma, Neeraj Kumar and Sreenivas, TV (2014) Event-triggered Sampling and Reconstruction of Sparse Real-valued Trigonometric Polynomials. In: International Conference on Signal Processing and Communications (SPCOM), JUL 22-25, 2014, Banaglore, INDIA.

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We propose data acquisition from continuous-time signals belonging to the class of real-valued trigonometric polynomials using an event-triggered sampling paradigm. The sampling schemes proposed are: level crossing (LC), close to extrema LC, and extrema sampling. Analysis of robustness of these schemes to jitter, and bandpass additive gaussian noise is presented. In general these sampling schemes will result in non-uniformly spaced sample instants. We address the issue of signal reconstruction from the acquired data-set by imposing structure of sparsity on the signal model to circumvent the problem of gap and density constraints. The recovery performance is contrasted amongst the various schemes and with random sampling scheme. In the proposed approach, both sampling and reconstruction are non-linear operations, and in contrast to random sampling methodologies proposed in compressive sensing these techniques may be implemented in practice with low-power circuitry.

Item Type: Conference Proceedings
Publisher: IEEE
Additional Information: Copy right for this article belongs to the IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
Keywords: ZCs (Zero Crossings); LCs (Level Crossings); ES (Extrema Sampling); Event-triggered sampling; Sparse Signal reconstruction; Trigonometric polynomials
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 30 Dec 2015 06:08
Last Modified: 30 Dec 2015 06:08
URI: http://eprints.iisc.ac.in/id/eprint/52982

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