Title :
An optimum Laguerre expansion for the envelope PDF of two sine waves in Gaussian noise
Author :
Abdi, Ali ; Nader-Esfahani, Said
Author_Institution :
Dept. of Electr. & Comput. Eng., Tehran Univ., Iran
Abstract :
The sum of two randomly-phased sine waves and Gaussian noise arises in various fields of communications. A Laguerre series and also a power series are introduced, for the envelope PDF of this random process. Moreover, tight upper bounds are derived for the truncation error of these two infinite series. Comparison of these two upper bounds show that the Laguerre series is superior to the power series; because for a fixed number of terms, it yields minimum truncation error
Keywords :
Gaussian noise; error analysis; optimisation; probability; random processes; series (mathematics); signal processing; stochastic processes; Gaussian noise; Laguerre series; envelope PDF; infinite series; optimum Laguerre expansion; power series; random process; randomly phased sine waves; tight upper bounds; truncation error; Argon; Density functional theory; Finite wordlength effects; Gaussian noise; Jamming; Power engineering and energy; Random processes; Random variables; Stochastic processes; Upper bound;
Conference_Titel :
Southeastcon '96. Bringing Together Education, Science and Technology., Proceedings of the IEEE
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-3088-9
DOI :
10.1109/SECON.1996.510048
