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http://dx.doi.org/10.3745/JIPS.02.0001

The Design of the IIR Differintegrator and its Application in Edge Detection  

Jain, Madhu (Department of Electronics and Communication Engineering, Jaypee Institute of Information Technology)
Gupta, Maneesha (Netaji Subhas Institute of Technology, Department of Electronics and Communication Engineering)
Jain, N.K. (Indian Institute of tecnology (IIT) Delhi, Instrument design development centre)
Publication Information
Journal of Information Processing Systems / v.10, no.2, 2014 , pp. 223-239 More about this Journal
Abstract
New IIR digital differintegrators (differentiator and integrator) with very minor absolute relative errors are presented in this paper. The digital integrator is designed by interpolating some of the existing integrators. The optimum value of the interpolation ratio is obtained through linear programming optimization. Subsequently, by modifying the transfer function of the proposed integrator appropriately, new digital differentiator is obtained. Simulation results demonstrate that the proposed differintegrator are a more accurate approximation of ideal ones, than the existing differintegrators. Furthermore, the proposed differentiator has been tested in an image processing application. Edges characterize boundaries and are, therefore, a problem of fundamental importance in image processing. For comparison purpose Prewitt, Sobel, Roberts, Canny, Laplacian of Gaussian (LOG), Zerocross operators were used and their results are displayed. The results of edge detection by some of the existing differentiators are also provided. The simulation results have shown the superiority of the proposed approach over existing ones.
Keywords
Digital integrator; digital differentiator; edge detection and image processing;
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1 M. A. Al-Alaoui, "Using fractional delay to control the magnitudes and phases of integrators and differentiators," IET Signal Processing, vol. 1, no. 2, pp. 107-119, 2007.   DOI   ScienceOn
2 M. A. Al-Alaoui, "Class of digital integrators and differentiators," IET Signal Processing, vol. 5, no. 2, pp. 251-260, 2011.   DOI   ScienceOn
3 M. Gupta, M. Jain, and B. Kumar, "Wideband digital integrator," in Proceeding of the IEEE International Conference on Multimedia, Signal Processing and Communication Technologies, Aligarh, India, 2009, pp. 106-108.
4 M. Gupta, M. Jain, and B. Kumar, "Novel class of stable wideband recursive digital integrators and differentiators," IET Signal Processing, vol. 4, no. 5, pp. 560-566, 2010.   DOI   ScienceOn
5 M. Gupta, M. Jain, and B. Kumar, "Recursive wideband digital integrator and differentiator," International Journal of Circuit Theory and Applications, vol. 39, no. 7, pp. 775-782, 2011.   DOI   ScienceOn
6 D. Marr and E. Hildreth, "Theory of edge detection," Proceedings of the Royal Society of London. Series B. Biological Sciences, vol. 207, no. 1167, pp. 187-217, 1980.   DOI
7 J. Canny, "A computational approach to edge detection," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. PAMI-8, no. 6, pp. 679-698, 1986.   DOI   ScienceOn
8 D. Demigny, "On optimal linear filtering for edge detection," IEEE Transactions on Image Processing, vol. 11, no. 7, pp. 728-737, 2002.   DOI   ScienceOn
9 M. A. Al-Alaoui, "Novel approach to designing digital differentiators," Electronics Letters, vol. 28, no. 15, pp. 1376-1378, 1992.   DOI   ScienceOn
10 S. C. Pei and H. J. Hsu, "Fractional bilinear transform for analog-to-digital conversion," IEEE Transactions on Signal Processing, vol. 56, no. 5, pp. 2122-2127, 2008.   DOI   ScienceOn
11 M. A. Al-Alaoui, "Novel digital integrator and differentiator," Electronics Letters, vol. 29, no. 4, pp. 376-378, 1993.   DOI   ScienceOn
12 A. M. Schneider, J. T. Kaneshige and F. Groutage, "Higher order s-to-z mapping functions and their application in digitizing continuous-time filters," Proceedings of the IEEE, vol. 79, no. 11, pp. 1661-1674, 1991.   DOI   ScienceOn
13 N. Q. Ngo, "A new approach for the design of wideband digital integrator and differentiator," IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 53, no. 9, pp. 936-940, 2006.   DOI   ScienceOn
14 N. Papamarkos and C. Chamzas, "A new approach for the design of digital integrators," IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 43, no. 9, pp. 785-791, 1996.   DOI   ScienceOn