New improved fractional order differentiator models based on optimized digital differentiators

The Scientific World Journal

Volumn 2014, Issue , 2014, Pages

  Gupta, Maneesha ^a   Yadav, Richa ^a  

^a NETAJI SUBHAS INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CROSSING OVER; DIFFERENTIATION; EVOLUTIONARY ALGORITHM; GENETIC ALGORITHM; OPERATOR; PSO GA HYBRID ALGORITHM; SIMULATION; TWO HYBRID SYSTEM; MATHEMATICAL PHENOMENA;

MATHEMATICAL CONCEPTS;

EID: 84896830962     PISSN: None     EISSN: 1537744X     Source Type: Journal    
DOI: 10.1155/2014/741395     Document Type: Article

References (40)

1. Al-Alaoui M. A., Class of digital integrators and differentiators. IET Signal Processing 2011 5 2 251 260 2-s2.0-79955020061 10.1049/iet-spr.2010.0107
2. Al-Alaoui M. A., Novel approach to designing digital differentiators. Electronics Letters 1992 28 15 1376 1378 2-s2.0-0026898578
3. Al-Alaoui M. A., Using fractional delay to control the magnitudes and phases of integrators and differentiators. IET Signal Processing 2007 1 2 107 119 2-s2.0-34250724916 10.1049/iet-spr:20060246
4. Al-Alaoui M. A., Linear phase low pass IIR digital differentiators. IEEE Transactions on Signal Processing 2007 55 2 697 706 10.1109/TSP.2006.885741
5. Al-Alaoui M. A., Al-Alaoui operator and the new transformation polynomials for discretization of analogue systems. Electrical Engineering 2008 90 6 455 467 2-s2.0-44649195602 10.1007/s00202-007-0092-0
6. Papamarkos N., Chamzas C., A new approach for the design of digital integrators. IEEE Transactions on Circuits and Systems I 1996 43 9 785 791 2-s2.0-0030246218 10.1109/81.536749
7. Gupta M., Jain M., Kumar B., Wideband digital integrator. Proceedings of the International Multimedia, Signal Processing and Communication Technologies (IMPACT '09) March 2009 Aligarh, India 106 108 2-s2.0-70450069600 10.1109/MSPCT.2009.5164185
8. Gupta M., Jain M., Kumar B., Recursive wideband digital integrator and differentiator. International Journal of Circuit Theory and Applications 2011 39 7 775 782 2-s2.0-79960195707 10.1002/cta.658
9. Gupta M., Jain M., Kumar B., Novel class of stable wideband recursive digital integrators and differentiators. IET Signal Processing 2010 4 5 560 566 2-s2.0-77957927138 10.1049/iet-spr.2009.0030
10. Ngo N. Q., A new approach for the design of wideband digital integrator and differentiator. IEEE Transactions on Circuits and Systems II 2006 53 9 936 940 2-s2.0-34047101840 10.1109/TCSII.2006.881806
11. Chen Y. Q., Moore K. L., Discretization schemes for fractional-order differentiators and integrators. IEEE Transactions on Circuits and Systems I 2002 49 3 363 367 2-s2.0-0036506044 10.1109/81.989172
12. Chen Y. Q., Vinagre B. M., Podlubny I., Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review. Nonlinear Dynamics 2004 38 1-4 155 170 2-s2.0-15544372160 10.1007/s11071-004- 3752-x
13. Vinagre B. M., Chen Y. Q., Petras I., Two direct Tustin discretization methods for fractional-order differentiator/integrator. Journal of the Franklin Institute 2003 340 5 349 362 2-s2.0-0242270972 10.1016/j.jfranklin.2003.08.001
14. Vinagre B. M., Podlubny I., Hernandez A., Feliu V., Some approximations of fractional order operators used in control theory. Fractional Calculus and Applied Analysis 2000 3 231 248
15. Chen Y. Q., Moore K. L., Discretization schemes for fractional-order differentiators and integrators. IEEE Transactions on Circuits and Systems I 2002 49 3 363 367 2-s2.0-0036506044 10.1109/81.989172
16. Chen Y. Q., Vinagre B. M., A new IIR-type digital fractional order differentiator. Signal Processing 2003 83 11 2359 2365 2-s2.0-0141961689 10.1016/S0165-1684(03)00188-9
17. Krishna B. T., Reddy K. V. V. S., Design of fractional order digital differentiators and integrators using indirect discretization. International Journal of Circuit Theory and Applications 2008 11 143 151
18. Krishna B. T., Studies on fractional order differentiators and integrators: a survey. Signal Processing 2011 91 3 386 426 2-s2.0-78049324242 10.1016/j.sigpro.2010.06.022
19. Yadav R., Gupta M., Design of fractional order differentiators and integrators using indirect discretization approach. Proceedings of the International Conference on Advances in Recent Technologies in Communication and Computing (ARTCom '10) October 2010 Kottayam, India 126 130 2-s2.0-78651437737 10.1109/ARTCom.2010.67
20. Yadav R., Gupta M., Design of fractional order differentiators and integrators using indirect discretization scheme. Proceedings of the India International Conference on Power Electronics (IICPE '10) January 2011 New Delhi, India 1 6 2-s2.0-79953146934 10.1109/IICPE.2011.5728158
21. Gupta M., Jain M., Jain N., A new fractional order recursive digital integrator using continued fraction expansion. India International Conference on Power Electronics (IICPE '11) January 2011 New Delhi, India 10.1109/IICPE.2011.5770272
22. Gupta M., Varshney P., Visweswaran G. S., Kumar B., Novel digital differentiator and corresponding fractional order differentiator models. Proceedings of the International Conference on Signal Processing and Multimedia Applications (SIGMAP '08) July 2008 Porto, Portugal 47 54 2-s2.0-55849143010
23. Varshney P., Gupta M., Visweswaran G. S., First and higher order operator based fractional order differentiator and integrator models. Proceedings of the IEEE Region 10 Conference (TENCON '09) November 2009 Singapore 1 6 2-s2.0-77951145185 10.1109/TENCON.2009.5395838
24. Gupta M., Varshney P., Visweswaran G. S., Digital fractional-order differentiator and integrator models based on first-order and higher order operators. International Journal of Circuit Theory and Applications 2011 39 5 461 474 2-s2.0-79952966620 10.1002/cta.650
25. Varshney P., Gupta M., Visweswaran G. S., Implementation of first and third order fractional order differentiators and integrators using switched capacitors. Proceedings of the India International Conference on Power Electronics (IICPE '10) January 2011 New Delhi, India 1 8 2-s2.0-79953134757 10.1109/IICPE.2011.5728088
26. Maione G., Laguerre approximation of fractional systems. Electronics Letters 2002 38 20 1234 1236 2-s2.0-0037179914 10.1049/el:20020841
27. Ferdi Y., Boucheham B., Recursive filter approximation of digital fractional differentiator and integrator based on Prony's method. Proceedings of the FDA'04 ENSEIRB 2004 Borodeaux, France
28. Ostaloup A., Levron F., MaMathieu B., Nanot F. M., Frequency band complex nonimteger differentiator:characterization and synthesis. IEEE Transactions on Circuits and Systems I 2000 47 1 25 39 10.1109/81.817385
29. Carlson G. E., Halijak A. C., Approximations of fractional capacitors (1/s)(1/n) by a regular newton process. IEEE Transactions on Circuit Theory 1964 11 2 210 213 10.1109/TCT.1964.1082270
30. Leulmi F., Ferdi Y., An improvement of the rational approximation of the fractional operator s α Proceedings of the Saudi International Electronics, Communications and Photonics Conference (SIECPC '11) April 2011 Riyadh, Saudi Arabia 1 6 2-s2.0-79959921179 10.1109/SIECPC.2011.5877012
31. Upadhyay D. K., Singh R. K., Recursive wideband digital differentiator and integrator. Electronics Letters 2011 47 11 647 648 2-s2.0-80053265944 10.1049/el.2011.0420
32. Jain M., Gupta M., Jain N., Linear phase second order recursive digital integrators and differentiators. Radioengineering Journal 2012 21 712 717
33. Kennedy J., Eberhart R., Particle swarm optimization. 4 Proceedings of the IEEE International Conference on Neural Networks December 1995 Perth, Australia 1942 1948 2-s2.0-0029535737
34. Shi Y., Eberhart R. C., Angeline P. J., Michalewicz Z., Schoenauer M., Yao X., Zalzala A., Empirical study of particle swarm optimization. 3 Proceedings of the Congress on Evolutionary Computation (CEC '99) July 1999 Washington, DC, USA 1945 1950 10.1109/CEC.1999.785511
35. Kao Y. T., Zahara E., A hybrid genetic algorithm and particle swarm optimization for multimodal functions. Applied Soft Computing Journal 2008 8 2 849 857 2-s2.0-37249009707 10.1016/j.asoc.2007.07.002
36. Shi Y., Eberhart R. C., Angeline P. J., Michalewicz Z., Schoenauer M., Yao X., Zalzala A., Empirical study of particle swarm optimization. 3 Proceedings of the Congress on Evolutionary Computation (CEC '99) July 1999 Washington, DC, USA 1945 1950 10.1109/CEC.1999.785511
37. Dorigo M., Birattari M., Stützle T., Ant colony optimization. IEEE Computational Intelligence Magazine 2006 1 4 28 39 2-s2.0-33846280533 10.1109/CI-M.2006.248054
38. Teixeira F., Romariz A., Optimum finite impulse response digital filter design using computational intelligence based optimization algorithms. Proceedings of the 7th International Conference on Intelligent Systems Design and Applications (ISDA '07) October 2007 Rio de Jeneiro, Brazil 635 640 2-s2.0-48349131679 10.1109/ISDA.2007.4389679
39. Xu W., Fang W., Sun J., Zhang X., Xu D., Mao L., An improved quantum-behaved particle swarm optimization and its application to digital IIR filter design. Proceedings of the 35th Annual Conference of the IEEE Industrial Electronics (IECON '09) November 2009 2003 2008 2-s2.0-77951561534 10.1109/IECON.2009.5414901
40. Ababneh J. I., Bataineh M. H., Linear phase FIR filter design using particle swarm optimization and genetic algorithms. Digital Signal Processing 2008 18 4 657 668 2-s2.0-44449084253 10.1016/j.dsp.2007.05.011