Title
Gradient Of Error Probability Of M-Ary Hypothesis Testing Problems Under Multivariate Gaussian Noise
Abstract
This letter considers an M-ary hypothesis testing problem on an n-dimensional random vector perturbed by the addition of Gaussian noise. A novel expression for the gradient of the error probability, with respect to the covariance matrix of the noise, is derived and shown to be a function of the cross-covariance matrix between the noise matrix (i.e., the matrix obtained by multiplying the noise vector by its transpose) and Bernoulli random variables associated with the correctness event.
Year
DOI
Venue
2020
10.1109/LSP.2020.3031487
IEEE SIGNAL PROCESSING LETTERS
Keywords
DocType
Volume
Error probability, hypothesis testing, gradient, multivariate Gaussian noise
Journal
27
ISSN
Citations 
PageRank 
1070-9908
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Minoh Jeong100.34
Alex Dytso24520.03
Martina Cardone34718.36