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Noise enhancement and SNR equivalence in Bernoulli nonuniform sampling

Published: 26 October 2011 Publication History

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.

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Cited By

View all
  • (2019)Nonuniform Sampling Walls in Wideband Signal DetectionIEEE Transactions on Signal Processing10.1109/TSP.2013.228476562:1(44-55)Online publication date: 4-Jan-2019
  • (2013)Sampling walls in signal detection of Bernoulli nonuniformly sampled signals2013 IEEE International Conference on Communications (ICC)10.1109/ICC.2013.6655283(4536-4540)Online publication date: Jun-2013

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Published In

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CogART '11: Proceedings of the 4th International Conference on Cognitive Radio and Advanced Spectrum Management
October 2011
372 pages
ISBN:9781450309127
DOI:10.1145/2093256
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

  • Universitat Pompeu Fabra
  • IEEE
  • Technical University of Catalonia Spain: Technical University of Catalonia (UPC), Spain
  • River Publishers: River Publishers
  • CTTC: Technological Center for Telecommunications of Catalonia
  • CTIF: Kyranova Ltd, Center for TeleInFrastruktur

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 26 October 2011

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Author Tags

  1. Bernoulli
  2. cognitive radio
  3. nonuniform sampling
  4. spectral analysis
  5. spectrum sensing

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  • Research-article

Funding Sources

  • Spanish Government
  • Catalan Government (DURSI)

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CogART '11
Sponsor:
  • Technical University of Catalonia Spain
  • River Publishers
  • CTTC
  • CTIF

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Cited By

View all
  • (2019)Nonuniform Sampling Walls in Wideband Signal DetectionIEEE Transactions on Signal Processing10.1109/TSP.2013.228476562:1(44-55)Online publication date: 4-Jan-2019
  • (2013)Sampling walls in signal detection of Bernoulli nonuniformly sampled signals2013 IEEE International Conference on Communications (ICC)10.1109/ICC.2013.6655283(4536-4540)Online publication date: Jun-2013

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