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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.858933
