Title
Minimizing Misclassification for Cooperative Spectrum Sensing Using <inline-formula><tex-math notation="LaTeX">$M$</tex-math></inline-formula>-Ary Hypothesis Testing
Abstract
In traditional spectrum sensing, binary hypothesis testing has been used to detect whether a frequency band is being occupied by the primary user or not. In this correspondence paper, we investigate <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$M$</tex-math></inline-formula> -ary hypothesis testing for spectrum sensing to further identify the signal type of the primary user. Linear cooperation among spatially distributed cognitive radios is applied to combine the observation statistics and make a final decision. The problem of data fusion is formulated as minimizing the total probability of misclassification subject to the constraint on the probability of successful classification. To deal with the non-convex problem formulated, we develop two solutions in this paper. In the first solution, we transform the problem into an unconstrained one, and adopt a zooming-based search algorithm to iteratively update multiple continuous variables until convergence. This solution requires searching all possible combinations of variables. To reduce the computation complexity and achieve closed-form analytical expressions, in the second solution, we decompose the original problem into multiple subproblems, each with the objective of minimizing an individual probability of misclassification. These subproblems can lead to closed-form expressions, and the weights are chosen as the best ones that correspond to the minimum total probability of misclassification. The proposed solutions are examined numerically, and the results show that the decomposition-based solution can achieve performance comparable to the zooming-based one but with much less complexity.
Year
DOI
Venue
2019
10.1109/TVT.2019.2921549
IEEE Transactions on Vehicular Technology
Keywords
Field
DocType
Testing,Sensors,Probability,Signal to noise ratio,Discrete Fourier transforms,Cognitive radio,Computational complexity
Convergence (routing),Search algorithm,Expression (mathematics),Computer science,Algorithm,Sensor fusion,Electronic engineering,Law of total probability,Statistical hypothesis testing,Computational complexity theory,Cognitive radio
Journal
Volume
Issue
ISSN
68
8
0018-9545
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Yuan Ma1248.49
Zhi Quan21439108.24
Dong Li314419.76
Bojun Zhang400.34