Sensing Method for Two-Target Detection in Time-Constrained Vector Gaussian Channel
Information Theory
2024-12-06 v1 Signal Processing
math.IT
Abstract
This paper considers a vector Gaussian channel of fixed identity covariance matrix and binary input signalling as the mean of it. A linear transformation is performed on the vector input signal. The objective is to find the optimal scaling matrix, under the total time constraint, that would: i) maximize the mutual information between the input and output random vectors, ii) maximize the MAP detection. It was found that the two metrics lead to different optimal solutions for our experimental design problem. We have used the Monte Carlo method for our computational work.
Cite
@article{arxiv.2202.02478,
title = {Sensing Method for Two-Target Detection in Time-Constrained Vector Gaussian Channel},
author = {Muhammad Fahad and Daniel R. Fuhrmann},
journal= {arXiv preprint arXiv:2202.02478},
year = {2024}
}
Comments
14 pages, 28 figures, journal article. arXiv admin note: text overlap with arXiv:2201.07915