DocumentCode
1241252
Title
A synthesis of a 1/f process via Sobolev spaces and fractional integration
Author
Medina, Juan Miguel ; Cernuschi-Frias, Bruno
Author_Institution
Fac. of Eng., Univ. of Buenos Aires, Argentina
Volume
51
Issue
12
fYear
2005
Firstpage
4278
Lastpage
4285
Abstract
We provide an almost-sure convergent expansion of a process with power law of fractional order by means of some known theorems from harmonic analysis and rather simple probability theory results.
Keywords
1/f noise; Gaussian processes; harmonic analysis; integration; probability; spectral analysis; 1-f process; Sobolev space; fractional integration; harmonic analysis; power law fractional order; probability theory result; stochastic process; Differential equations; Displays; Harmonic analysis; Helium; Laplace equations; Multidimensional systems; Partial differential equations; Random processes; Science - general; Stochastic processes; Fractional integration; Sobolev spaces; stochastic processes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2005.858933
Filename
1542418
Link To Document