New results on the expected number of maxima in the normal process envelope

Said Nader-Esfahani; Ali Abdi

doi:10.1109/ISIT.1997.612994

New results on the expected number of maxima in the normal process envelope

Said Nader-Esfahani, Ali Abdi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English (US)
Title of host publication	Proceedings - 1997 IEEE International Symposium on Information Theory, ISIT 1997
Pages	79
Number of pages	1
DOIs	https://doi.org/10.1109/ISIT.1997.612994
State	Published - 1997
Externally published	Yes
Event	1997 IEEE International Symposium on Information Theory, ISIT 1997 - Ulm, Germany Duration: Jun 29 1997 → Jul 4 1997

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8095

Conference

Conference	1997 IEEE International Symposium on Information Theory, ISIT 1997
Country/Territory	Germany
City	Ulm
Period	6/29/97 → 7/4/97

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

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10.1109/ISIT.1997.612994

Cite this

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title = "New results on the expected number of maxima in the normal process envelope",

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.",

author = "Said Nader-Esfahani and Ali Abdi",

year = "1997",

doi = "10.1109/ISIT.1997.612994",

language = "English (US)",

isbn = "0780339568",

series = "IEEE International Symposium on Information Theory - Proceedings",

pages = "79",

booktitle = "Proceedings - 1997 IEEE International Symposium on Information Theory, ISIT 1997",

note = "1997 IEEE International Symposium on Information Theory, ISIT 1997 ; Conference date: 29-06-1997 Through 04-07-1997",

}

Nader-Esfahani, S & Abdi, A 1997, New results on the expected number of maxima in the normal process envelope. in Proceedings - 1997 IEEE International Symposium on Information Theory, ISIT 1997., 612994, IEEE International Symposium on Information Theory - Proceedings, pp. 79, 1997 IEEE International Symposium on Information Theory, ISIT 1997, Ulm, Germany, 6/29/97. https://doi.org/10.1109/ISIT.1997.612994

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T1 - New results on the expected number of maxima in the normal process envelope

AU - Nader-Esfahani, Said

AU - Abdi, Ali

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

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U2 - 10.1109/ISIT.1997.612994

DO - 10.1109/ISIT.1997.612994

M3 - Conference contribution

AN - SCOPUS:0030659874

SN - 0780339568

SN - 9780780339569

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 79

BT - Proceedings - 1997 IEEE International Symposium on Information Theory, ISIT 1997

T2 - 1997 IEEE International Symposium on Information Theory, ISIT 1997

Y2 - 29 June 1997 through 4 July 1997

ER -

New results on the expected number of maxima in the normal process envelope

Abstract

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Conference

All Science Journal Classification (ASJC) codes

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