Title :
Asymptotic Optimality of Equal Power Allocation for Linear Estimation of WSS Random Processes
Author :
Bash, Boulat A. ; Goeckel, Dennis ; Towsley, Don
Author_Institution :
Sch. of Comput. Sci., Univ. of Massachusetts, Amherst, MA, USA
Abstract :
This letter establishes the asymptotic optimality of equal power allocation for measurements of a continuous wide-sense stationary (WSS) random process with a square-integrable autocorrelation function when linear estimation is used on equally-spaced measurements with periodicity meeting the Nyquist criterion and with the variance of the noise on any sample inversely proportional to the power expended by the user to obtain that measurement.
Keywords :
Nyquist criterion; channel estimation; correlation methods; random processes; resource allocation; Nyquist criterion; WSS random process; asymptotic optimality; linear estimation; power allocation; square-integrable autocorrelation function; wide-sense stationary; Covariance matrix; Power measurement; Random processes; Resource management; Symmetric matrices; Vectors; Wireless communication; Channel estimation; linear estimation; power allocation; wide-sense stationary (WSS) random processes;
Journal_Title :
Wireless Communications Letters, IEEE
DOI :
10.1109/WCL.2013.020513.120908
