Title :
On the zero crossings of a generalized shot noise process
Author_Institution :
Sch. of Electr. Eng. & Comput., Curtin Univ., Perth, WA, Australia
Abstract :
Theory and results demonstrate, statistically and by implication, structurally, that the zero crossings of a generalized shot noise process are equivalent to those of a modified random telegraph signal based on grouping of Poisson points. The zero crossings are not statistically consistent with a Poisson point process.
Keywords :
random processes; shot noise; stochastic processes; Poisson point process; random telegraph signal; shot noise process; zero crossings; Distribution functions; Noise; Probability density function; Random processes; Random variables; Simulation; Poisson point process; random telegraph signal; shot noise; zero crossing;
Conference_Titel :
Noise and Fluctuations (ICNF), 2011 21st International Conference on
Conference_Location :
Toronto, ON
Print_ISBN :
978-1-4577-0189-4
DOI :
10.1109/ICNF.2011.5994290