Accurate formulation of the multitaper-SVD detector over fading channels

Ebtihal H G Yousif, Tharmalingam Ratnarajah, Mathini Sellathurai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper considers a frequency domain approach for the problem of spectrum sensing based on the multitaper detector combined with singular value decomposition. We present the exact closed forms for the performance of the MTM-SVD processor over fading channels. This is achieved through formulating the decision statistic as a Hermitian form, which is shown to be a hypoexponential variable where the distribution parameters are determined by the number of discrete prolate spheriodal sequences (DPSSs), number of cooperating users and frequency resolution. Also, we formulate the nonzero eigenvalues associated with the Hermitian form, which act as the distribution parameters for both cases of the null and the alternate hypotheses. We accurately formulate the probabilities of false alarm and missed detection, where we also accurately bound the average probability of missed detection over Rayleigh channels. As a general trend, the performance of the MTM-SVD method is enhanced when increasing the number of DPSSs or increasing the number of cooperating sensing nodes. Moreover, the obtained results show that the MTM-SVD processor outperforms the case of using the Periodogram even when large sensing frames are employed.

Original languageEnglish
Title of host publication2015 IEEE Global Communications Conference (GLOBECOM)
PublisherIEEE
Number of pages5
ISBN (Print)9781479959525
DOIs
Publication statusPublished - 2015
Event58th IEEE Global Communications Conference 2015 - San Diego, United States
Duration: 6 Dec 201510 Dec 2015

Conference

Conference58th IEEE Global Communications Conference 2015
Abbreviated titleGLOBECOM 2015
CountryUnited States
CitySan Diego
Period6/12/1510/12/15

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering
  • Communication

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