This work proposes a highly accurate algorithm to estimate the signal-to-noise ratio (SNR) for a linear system from a single realization of the received signal. We assume that the linear system has a Gaussian matrix with one sided left correlation while unknown entries of the signal and the noise are assumed to be independent and identically distributed with zero mean and can be drawn from any distribution. We use the ridge regression function of this linear model in company with tools and techniques adapted from random matrix theory to achieve, in closed form, accurate estimation of the SNR without prior statistical knowledge on the signal or the noise.
Please send comments to Mohamed A Suliman
M. A. Suliman, A. M. Alrashdi, T. Ballal, T. Y. Al-Naffouri, "SNR Estimation in Linear Systems with Gaussian Matrices", IEEE Signal Processing Letters, v. 24, issue 12, pp. 1867 - 1871, Dec. 2017