On the relationship between 1/f and /spl alpha/-stable processes

Jijun Yin, Athina Petropulu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

1/f/sup /spl beta//-type spectral behavior has received considerable attention in the past few years because it arises from a wide range of natural phenomena. By expressing a 1/f/sup /spl beta// process as a fractional integral of white noise, we show that, if /spl beta/1, the process has stationary /spl alpha/-stable increments. We also provide closed form expressions for the relationship between /spl beta/ and /spl alpha/. The theoretical results are verified via real ultrasound data. Ultrasound breast data, or their increments, which appear to be 1/f/sup /spl beta//, are shown to follow reasonably well the /spl alpha/-stable model.

Original languageEnglish (US)
Title of host publicationProceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1585-1588
Number of pages4
Volume3
ISBN (Print)0780344286, 9780780344280
DOIs
StatePublished - Jan 1 1998
Externally publishedYes
Event1998 23rd IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998 - Seattle, WA, United States
Duration: May 12 1998May 15 1998

Other

Other1998 23rd IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998
CountryUnited States
CitySeattle, WA
Period5/12/985/15/98

All Science Journal Classification (ASJC) codes

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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