Title :
Spectra of shot noises and Hawkes branching point processes
Author :
Brémaud, Pierre ; Massoulié, Laurent
Author_Institution :
EPFL, Ecublens, Switzerland
Abstract :
We give: (1) the Cramer spectrum of the general shot noise process with random excitation and non-Poisson stationary driving point processes; and (2) the Bartlett spectrum of the Hawkes branching point process with random excitation and non-Poisson stationary driving point processes.
Keywords :
shot noise; spectral analysis; stochastic processes; Bartlett spectrum; Cramer spectrum; Hawkes branching point processes; nonPoisson stationary driving point processes; random excitation; shot noise; Extraterrestrial measurements; Fourier transforms; Noise measurement; Power measurement; Random variables; Space stations; Stochastic resonance; Zinc;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023282
