Noise enhancement and SNR equivalence in Bernoulli nonuniform sampling

Authors:
Josep Font-Segura;Gregori Vázquez;Jaume Riba
Affiliations:
Technical University of Catalonia (UPC), Jordi Girona, Barcelona, Spain;Technical University of Catalonia (UPC), Jordi Girona, Barcelona, Spain;Technical University of Catalonia (UPC), Jordi Girona, Barcelona, Spain
Venue:
Proceedings of the 4th International Conference on Cognitive Radio and Advanced Spectrum Management
Year:
2011

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Abstract

This paper addresses the problem of nonuniform spectral analysis and spectrum sensing by means of Bernoulli sampling. The statistical treatment of sampling shows that nonuniformly sampling below the Nyquist rate produces in average the effects of noise enhancement and power loss on the second-order statistics of the signal (correlation and spectrum). The main focus of the paper is to obtain an equivalence in terms of signal-to-noise ratio (SNR) to model the noise enhancement and power loss effects. The Bernoulli nonuniform sampling is further extended to matrix formulation, which allows the application of spectrum sensing for cognitive radio signal detection. Numerical results assess the noise enhancement effect and SNR equivalence in spectral analysis and spectrum sensing.