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Download PDFOpen PDF in browserBang Bang Spectrum SensingEasyChair Preprint 488717 pages•Date: January 11, 2021AbstractIn this research paper, given an upper bound on total number of sensing bands, the problem of determining number of sensing bands with low and high sensing times (given the total sensing time as well as traffic over wideband of channels) is formulated and solved. In such formulation, the optimization criterion is chosen to be (maximization/minimization) average number of sensing bands. The dual problem deals with optimization (maximization/minimization) of low and high sensing times. The solution of dual problem readily follows. Hence, a bang bang time optimal spectrum sensing related results follow readily. It is shown that the variance of a Bernoulli Random variable, Z constitutes a logistic map in success probability ’P’. This fact is utilized to derive analytic results. Some analytical results related to number of sensing bands required are proved. Specifically it is shown that when the values assumed by Z are known integers, there is no value of success probability ’P’ for which expectation of Z equals the variance of Z. Keyphrases: Cognitive Radio, Diophantine equation, Sensing Bands, sensing time, spectrum sensing Download PDFOpen PDF in browser |
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