Improvement of IIR filter discretization for fractional order filter by discrete stochastic optimization

2016 ◽  
Author(s):  
Abdullah Ates ◽  
Gurkan Kavuran ◽  
Baris Baykant Alagoz ◽  
Celaleddin Yeroglu
Keyword(s):  
Stochastic Optimization ◽  
Fractional Order ◽  
Iir Filter ◽  
Order Filter ◽  
Discrete Stochastic Optimization

Single transistor fractional-order filter using a multi-walled carbon nanotube device

2019 ◽  
Vol 100 (1) ◽  
pp. 215-219 ◽  
Author(s):  
Panagiotis Bertsias ◽  
Costas Psychalinos ◽  
Ahmed S. Elwakil ◽  
Karabi Biswas
Keyword(s):  
Carbon Nanotube ◽  
Fractional Order ◽  
Order Filter ◽  
Multi Walled Carbon Nanotube

scholarly journals An adaptive model combining a total variation filter and a fractional-order filter for image restoration

2019 ◽  
Vol 13 ◽  
pp. 174830181983305 ◽  
Author(s):  
Yafeng Yang ◽  
Donghong Zhao
Keyword(s):  
Image Restoration ◽  
Total Variation ◽  
Fractional Order ◽  
Gradient Algorithm ◽  
Remarkable Effect ◽  
Order Filter ◽  
Model Combining ◽  
Proposed Model ◽  
Primal Dual ◽  
Image Edges

In this paper, we propose a model that combines a total variation filter with a fractional-order filter, which can unite the advantages of the two filters, and has a remarkable effect in the protection of image edges and texture details; simultaneously, the proposed model can eliminate the staircase effect. In addition, the model improves the PSNR compared with the total variation filter and the fractional-order filter when removing noise. Zhu and Chan presented the primal-dual hybrid gradient algorithm and proved that it is effective for the total variation filter. On the basis of their work, we employ the primal-dual hybrid gradient algorithm to solve the combined model in this article. The final experimental results show that the new model and algorithm are effective for image restoration.

Fractional order filter with two fractional elements of dependant orders

2012 ◽  
Vol 43 (11) ◽  
pp. 818-827 ◽  
Author(s):  
A. Soltan ◽  
A.G. Radwan ◽  
Ahmed M. Soliman
Keyword(s):  
Fractional Order ◽  
Order Filter
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