DocumentCode :
1062780
Title :
Efficient Generation of 1/f^{\\beta } Noise Using Signal Modeling Techniques
Author :
Ferdi, Youcef ; Taleb-Ahmed, Abdelmalik ; Lakehal, Mohamed Reda
Author_Institution :
Electr. Eng. Dept., Univ. of Skikda, Skikda
Volume :
55
Issue :
6
fYear :
2008
fDate :
7/1/2008 12:00:00 AM
Firstpage :
1704
Lastpage :
1710
Abstract :
This paper presents a new procedure for generating 1/fbeta noise sequences by filtering Gaussian white noise through a recursive filter approximating a discrete-time fractional order integrator. Power series expansion and deterministic signal modeling techniques were combined to determine a rational transfer function to approximate the ideal discrete fractional transfer function resulting from Al-Alaoui´s rule raised to the power of the fractional order of integration. The proposed approach is computationally more efficient and more accurate than infinite impulse response truncation. Numerical results are provided to demonstrate the performance of the proposed method.
Keywords :
1/f noise; AWGN channels; recursive filters; signal processing; transfer functions; 1/fbeta noise; Al-Alaoui rule; Gaussian white noise; discrete-time integrator; fractional order integrator; infinite impulse response truncation; noise sequences; power series expansion; recursive filter; signal modeling; transfer function; $1/f$ noise; Al-Alaoui\´s rule; Prony\´s method; Shanks method; Shanks\´ method; f / 1 noise; fractional order integrator; fractional order integrator (FOI); power series expansion; signal modeling;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher :
ieee
ISSN :
1549-8328
Type :
jour
DOI :
10.1109/TCSI.2008.918173
Filename :
4447929
Link To Document :
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