A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital signal processing (3rd ed.): principles, algorithms, and applications
Digital signal processing (3rd ed.): principles, algorithms, and applications
Analysis and design of fractional-order digital control systems
Systems Analysis Modelling Simulation
On Mittag-Leffler-type functions in fractional evolution processes
Journal of Computational and Applied Mathematics - Special issue on higher transcendental functions and their applications
Operators of fractional integration and their applications
Applied Mathematics and Computation
Digital Signal Processing: A Practical Approach
Digital Signal Processing: A Practical Approach
A method for modelling and simulation of fractional systems
Signal Processing - Special issue: Fractional signal processing and applications
A new IIR-type digital fractional order differentiator
Signal Processing - Special issue: Fractional signal processing and applications
Fundamental properties of the fractional-order discrete-time integrator
Signal Processing - Special issue: Fractional signal processing and applications
Fractional differentiation for edge detection
Signal Processing - Special issue: Fractional signal processing and applications
Digital Image Processing (3rd Edition)
Digital Image Processing (3rd Edition)
Design of variable and adaptive fractional order FIR differentiators
Signal Processing - Fractional calculus applications in signals and systems
Time domain design of fractional differintegrators using least-squares
Signal Processing - Fractional calculus applications in signals and systems
Fractional order electromagnetics
Signal Processing - Fractional calculus applications in signals and systems
Design of FIR and IIR fractional order Simpson digital integrators
Signal Processing
Fractional Calculus Method for Enhancing Digital Image of Bank Slip
CISP '08 Proceedings of the 2008 Congress on Image and Signal Processing, Vol. 3 - Volume 03
1/2 Order Fractional Differential Tree Type Circuit of Digital Image
CISP '08 Proceedings of the 2008 Congress on Image and Signal Processing, Vol. 3 - Volume 03
International Journal of Applied Mathematics and Computer Science
Engineering Applications of Artificial Intelligence
Fractional order filter with two fractional elements of dependant orders
Microelectronics Journal
Parameter and differentiation order estimation in fractional models
Automatica (Journal of IFAC)
Fractional models for modeling complex linear systems under poor frequency resolution measurements
Digital Signal Processing
Non-fragile observer design for fractional-order one-sided Lipschitz nonlinear systems
International Journal of Automation and Computing
Fractional zero-phase filtering based on the Riemann-Liouville integral
Signal Processing
Fractional-Order Complementary Filters for Small Unmanned Aerial System Navigation
Journal of Intelligent and Robotic Systems
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Studies on analysis, design and applications of analog and digital differentiators and integrators of fractional order is the main objective of this paper. Time and frequency domain analysis, different ways of realization of fractance device is presented. Active and passive realization of fractance device of order 12 using continued fraction expansion is carried out. Later, time and frequency domain analysis of fractance based circuits is considered. The variations of rise time, peak time, settling time, time constant, percent overshoot with respect to fractional order @a is presented. Digital differentiators and integrators of fractional order can be obtained by using direct and indirect discretization techniques. The s to z transforms used for this purpose are revisited. In this paper by using indirect discretization technique fractional order differentiators and integrators of order 12 and 14 are designed. These digital differentiators and integrators are implemented in real time using TMS320C6713 DSP processor and tested using National instruments education laboratory virtual instrumentation system (NIELVIS). The designed fractional order differentiators have been used for the detection of QRS sequences as well as the occurrence of Sino Atrial Rhythms in an ECG signal and also for the detection of edges in an image. The obtained results are in comparison with the conventional techniques.