Title
Mismatched hypothesis testing with application to digital modulation classification
Abstract
This paper considers the problem of mismatched hypothesis testing, where approximate likelihood functions are used instead of true likelihood functions. Given a hypothesis testing problem, the maximum likelihood (ML) solution is known to be optimal when true likelihood functions are used, but the optimality does not hold anymore if mismatched approximate likelihood functions are employed instead, in order to reduce computational complexity, for instance. In this paper, we investigate the mismatched ML framework using approximate likelihood functions, while the mismatches between the true and the approximate likelihood functions are corrected by additive compensating constants. The probability of error of this mismatched hypothesis testing is analyzed asymptotically, assuming a large number of samples, and the compensating constants that maximize the error exponent are established. The general results on the mismatched hypothesis testing are then utilized in designing and optimizing a digital modulation classifier with low complexity.
Year
DOI
Venue
2013
10.1109/ICC.2013.6655284
ICC
Keywords
Field
DocType
error probability,mismatched hypothesis testing,statistical testing,computational complexity reduction,mismatched ml framework,modulation,maximum likelihood estimation,computational complexity,maximum likelihood solution,additive compensating constants,signal classification,true likelihood functions,error statistics,digital modulation classification,mismatched approximate likelihood functions,signal to noise ratio,testing,frequency modulation
Score test,Likelihood-ratio test,Computer science,Real-time computing,Artificial intelligence,Estimation theory,Classifier (linguistics),Statistical hypothesis testing,Likelihood function,Pattern recognition,Algorithm,Maximum likelihood sequence estimation,Computational complexity theory
Conference
ISSN
Citations 
PageRank 
1550-3607
1
0.37
References 
Authors
6
3
Name
Order
Citations
PageRank
Yoo-Jin Choi1184.87
Dongwoon Bai216415.97
Jungwon Lee389095.15