Digital filter design
On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
IEEE/ACM Transactions on Networking (TON)
Two approximation methods to synthesize the power spectrum of fractional Gaussian noise
Computational Statistics & Data Analysis
Impulse invariance-based method for the computation of fractional integral of order 0
Computers and Electrical Engineering
A class of second-order stationary self-similar processes for 1/fphenomena
IEEE Transactions on Signal Processing
Optimal identification of discrete-time systems from impulseresponse data
IEEE Transactions on Signal Processing
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This paper describes an approximate method for synthesizing sequences of statistically self-similar processes and analyses its performance to generate sample sequences with this statistical property. The method is based upon approximating the infinite dimensional difference equation which describes the FARIMA(0,@a,0) model by a finite dimensional difference equation. The parameters estimation for parameterizing the binomial coefficients is performed by using deterministic signal modeling techniques. The three techniques considered are: Prony, Steiglitz MacBride, and Shaw methods. In addition to allow considerable savings in memory requirements and great reduction in computation time, the performance analysis results show that the generated sequences are statistically self-similar in the sense that the estimated Hurst parameter is very close to that imposed in the sequence generator.