Title :
New results on the expected number of maxima in the normal process envelope
Author :
Nader-Esfahani, Said ; Abdi, Ali
Author_Institution :
Dept. of Electr. & Comput. Eng., Tehran Univ., Iran
fDate :
29 Jun-4 Jul 1997
Abstract :
A new formula for the expected number of maxima in the normal process envelope is presented. In contrast to the complicated Rice´s (1954) formula, our simple formula holds for an arbitrary power spectrum. The key idea is the application of characteristic functions, instead of probability density functions, for computing the expected number of level crossings of a process
Keywords :
functional analysis; signal detection; spectral analysis; Rice´s formula; approximate formula; arbitrary power spectrum; characteristic functions; exact formula; expected number of maxima; level crossings; normal process envelope; probability density functions; Filtering theory; Frequency; Mathematical analysis; Probability density function; Seminars; Stochastic processes;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.612994
