New closed-form expressions for SNR estimates of Nakagami fading channels by the method of moments

• Published in: Telecommunication systems Vol. 69; no. 3; pp. 321 - 333
• Main Authors: Queiroz, Wamberto J. L., Almeida, Danilo B. T., Madeiro, Francisco, de M. Cardoso, José V., Pereira, Damião F. L., Alencar, Marcelo S.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-11-2018; Springer Nature B.V
• Subjects: Artificial Intelligence; Business and Management; Computer Communication Networks; Economic models; Fading; IT in Business; Maximum likelihood estimation; Method of moments; Parameter estimation; Probability Theory and Stochastic Processes; Signal to noise ratio; Studies; Telecommunications systems; Signal-to-noise ratio estimation; Method of moments; Nakagami fading
• ISSN: 1018-4864; 1572-9451
• DOI: 10.1007/s11235-018-0440-6

Method of moments has been a parameter estimation technique appropriate to calculate signal-to-noise ratio (SNR) estimates in fading channel models in which an optimal technique like maximum likelihood estimation is not mathematically tractable. In this article, the ratio of the second moment squared to the fourth moment of the received signal envelope is considered to calculate an exact expression for the SNR estimate in Nakagami-
m
fading channel for
M
-QAM and
θ
-MQAM modulations as well as expressions to evaluate the variance and the mean of the estimate. The paper presents two useful contributions for SNR estimation theory on Nakagami fading. Besides the exact algebraic expression for the estimate for a generalized QAM modulation scheme, its performance is evaluated through a statistical linearization argument.