Title :
Efficient Generation of
Noise Using Signal Modeling Techniques
Author :
Ferdi, Youcef ; Taleb-Ahmed, Abdelmalik ; Lakehal, Mohamed Reda
Author_Institution :
Electr. Eng. Dept., Univ. of Skikda, Skikda
fDate :
7/1/2008 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2008.918173