Random Sampling Using Shannon Interpolation and Poisson Summation Formulae

Xiao Z. Wang; Wei E. I. Sha

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arXiv · 0909.2292

Random Sampling Using Shannon Interpolation and Poisson Summation Formulae

Xiao Z. Wang·Wei E. I. Sha

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Abstract

This report mainly focused on the basic concepts and the recovery methods for the random sampling. The recovery methods involve the orthogonal matching pursuit algorithm and the gradient-based total variation strategy. In particular, a fast and efficient observation matrix filling technique was implemented by the classic Shannon interpolation and Poisson summation formulae. The numerical results for the trigonometric signal, the Gaussian-modulated sinusoidal pulse, and the square wave were demonstrated and discussed. The work may give some help for future work in theoretical study and practical implementation of the random sampling.

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BibTeX RIS

Xiao Z. Wang, Wei E. I. Sha. 2009-09-14. Random Sampling Using Shannon Interpolation and Poisson Summation Formulae. https://arxiv.org/abs/0909.2292

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