System identification (2nd ed.): theory for the user
System identification (2nd ed.): theory for the user
Fractional discrimination for texture image segmentation
ICIP '97 Proceedings of the 1997 International Conference on Image Processing (ICIP '97) 3-Volume Set-Volume 1 - Volume 1
Fractional-order system identification based on continuous order-distributions
Signal Processing - Special issue: Fractional signal processing and applications
Fractional differentiation for edge detection
Signal Processing - Special issue: Fractional signal processing and applications
Approximation and identification of diffusive interfaces by fractional models
Signal Processing - Fractional calculus applications in signals and systems
Brief paper: Synthesis of fractional Laguerre basis for system approximation
Automatica (Journal of IFAC)
A note on the stability of fractional order systems
Mathematics and Computers in Simulation
Self-Similarity: Part I—Splines and Operators
IEEE Transactions on Signal Processing
Relations between fractional operations and time-frequencydistributions, and their applications
IEEE Transactions on Signal Processing
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In this paper, the order distribution concept in the frequency domain identification has been extended to include fractional order systems having poles and zeros simultaneously. The existing nonlinear optimization problem appeared when both poles and zeros, is are changed to a quadratic problem that can be solved using least squares algorithms. To collect the required data, system is excited by a multi sine input signal with appropriately selected frequencies. Then a nonparametric identification in frequency domain is accomplished to calculate the empirical transfer function estimate (ETFE). This estimate is then used to implement the frequency domain identification on all defined members of the model set to estimate the model parameters in noise free and disturbed cases.