Efficient Generation of [Formula Omitted] Noise Using Signal Modeling Techniques

This paper presents a new procedure for generating [1/f{beta}] 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 rati...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2008-06, Vol.55 (6), p.1704-1710
Main Authors: Ferdi, Y, Taleb-Ahmed, A, Lakehal, M R
Format: Article
Language:English
Subjects:
Approximation
Computational efficiency
Filtering
Gaussian
Impulse response
Mathematical models
Noise
Transfer functions
Online Access:Get full text
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Summary:This paper presents a new procedure for generating [1/f{beta}] 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-Alaouias 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.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2008.918173