Analysing energy detector diversity receivers for spectrum sensing

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dc.contributor.advisor Murphy, Colin C. en
dc.contributor.author Horgan, Donagh
dc.date.accessioned 2014-03-03T15:21:00Z
dc.date.available 2015-03-04T05:00:06Z
dc.date.issued 2014
dc.date.submitted 2014
dc.identifier.citation Horgan, D. 2014. Analysing energy detector diversity receivers for spectrum sensing. PhD Thesis, University College Cork. en
dc.identifier.endpage 209
dc.identifier.uri http://hdl.handle.net/10468/1425
dc.description.abstract The analysis of energy detector systems is a well studied topic in the literature: numerous models have been derived describing the behaviour of single and multiple antenna architectures operating in a variety of radio environments. However, in many cases of interest, these models are not in a closed form and so their evaluation requires the use of numerical methods. In general, these are computationally expensive, which can cause difficulties in certain scenarios, such as in the optimisation of device parameters on low cost hardware. The problem becomes acute in situations where the signal to noise ratio is small and reliable detection is to be ensured or where the number of samples of the received signal is large. Furthermore, due to the analytic complexity of the models, further insight into the behaviour of various system parameters of interest is not readily apparent. In this thesis, an approximation based approach is taken towards the analysis of such systems. By focusing on the situations where exact analyses become complicated, and making a small number of astute simplifications to the underlying mathematical models, it is possible to derive novel, accurate and compact descriptions of system behaviour. Approximations are derived for the analysis of energy detectors with single and multiple antennae operating on additive white Gaussian noise (AWGN) and independent and identically distributed Rayleigh, Nakagami-m and Rice channels; in the multiple antenna case, approximations are derived for systems with maximal ratio combiner (MRC), equal gain combiner (EGC) and square law combiner (SLC) diversity. In each case, error bounds are derived describing the maximum error resulting from the use of the approximations. In addition, it is demonstrated that the derived approximations require fewer computations of simple functions than any of the exact models available in the literature. Consequently, the regions of applicability of the approximations directly complement the regions of applicability of the available exact models. Further novel approximations for other system parameters of interest, such as sample complexity, minimum detectable signal to noise ratio and diversity gain, are also derived. In the course of the analysis, a novel theorem describing the convergence of the chi square, noncentral chi square and gamma distributions towards the normal distribution is derived. The theorem describes a tight upper bound on the error resulting from the application of the central limit theorem to random variables of the aforementioned distributions and gives a much better description of the resulting error than existing Berry-Esseen type bounds. A second novel theorem, providing an upper bound on the maximum error resulting from the use of the central limit theorem to approximate the noncentral chi square distribution where the noncentrality parameter is a multiple of the number of degrees of freedom, is also derived. en
dc.description.sponsorship Irish Research Council for Science Engineering and Technology (EMBARK Initiative) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher University College Cork en
dc.rights © 2014, Donagh Horgan en
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/ en
dc.subject Spectrum sensing en
dc.subject Dynamic spectrum access en
dc.subject Energy detection en
dc.subject Multipath fading en
dc.subject Chi square en
dc.subject Noncentral chi square en
dc.subject Diversity receiver en
dc.subject Rice en
dc.subject Nakagami en
dc.subject Rayleigh en
dc.subject Maximal ratio combiner en
dc.subject Equal gain combiner en
dc.subject Square law combiner en
dc.subject.lcsh Approximation theory en
dc.subject.lcsh Signal detection en
dc.title Analysing energy detector diversity receivers for spectrum sensing en
dc.type Doctoral thesis en
dc.type.qualificationlevel Doctoral en
dc.type.qualificationname PhD (Engineering) en
dc.internal.availability Full text available en
dc.description.version Accepted Version
dc.contributor.funder Irish Research Council for Science Engineering and Technology en
dc.description.status Not peer reviewed en
dc.internal.school Electrical and Electronic Engineering en
dc.check.reason This thesis is due for publication or the author is actively seeking to publish this material en
dc.check.opt-out Not applicable en
dc.thesis.opt-out false
dc.check.entireThesis Entire Thesis Restricted
dc.check.embargoformat E-thesis on CORA only en
ucc.workflow.supervisor cmurphy@rennes.ucc.ie
dc.internal.conferring Spring Conferring 2014 en


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