Title :
The notion of random Fourier series: an approach based on phase noise
Author :
Gray, John E. ; Addison, Stephen R.
Author_Institution :
Dept. of Syst. Res. & Technol., Naval Surface Warfare Center Dahlgren Div., VA, USA
Abstract :
We introduce a notation of a random Fourier series based on a communication theory model of phase noise and discuss the relation between this model and those discussed in Marcus. Two notions of representation of a random variable in terms of one another are introduced and a \´\´uniqueness" theorem is introduced. Applications to different engineering problems are discussed.
Keywords :
Fourier series; information theory; phase noise; random functions; characteristic functions; communication theory model; phase noise; random Fourier series; Acoustic scattering; Fourier series; Frequency; Phase noise; Physics; Random processes; Random variables; Rayleigh scattering; Reflective binary codes; Space technology;
Conference_Titel :
System Theory, 2005. SSST '05. Proceedings of the Thirty-Seventh Southeastern Symposium on
Print_ISBN :
0-7803-8808-9
DOI :
10.1109/SSST.2005.1460949
