Title
Closed Form Expressions for Detection Threshold and Sample Size for Spectrum Sensing Considering Instantaneously Non-Identically Distributed Samples
Abstract
This letter proposes a spectrum sensing method based on the likelihood ratio test (LRT) considering instantaneously non-identically distributed samples and assuming that the distribution of a test statistic varies in every acquired sample. Since, in reality, it is impossible to perform the ideal LRT that fully reflects such a change of a sample statistic, we propose a practical sensing method that optimally approximates the ideal log-likelihood ratio (LLR) with respect to its statistical mean. In both the ideal LRT and the proposed practical LRT, we finally derive closed form expressions for the detection threshold value and the sample size that are essential design parameters to guarantee predefined false alarm and missed detection constraints.
Year
DOI
Venue
2014
10.1109/LCOMM.2013.112713.131925
IEEE Communications Letters
Keywords
Field
DocType
Sensors,Cognitive radio,Reactive power,Closed-form solutions,Noise,OFDM,Random variables
False alarm,Sample (statistics),Likelihood-ratio test,Test statistic,Expression (mathematics),Detection theory,Computer science,Algorithm,Real-time computing,Independent and identically distributed random variables,Statistics,Sample size determination
Journal
Volume
Issue
ISSN
18
2
1089-7798
Citations 
PageRank 
References 
2
0.41
9
Authors
2
Name
Order
Citations
PageRank
Yeon-Jea Cho1454.58
Dong-Jo Park221633.64