Abstract
In this paper, a comparative study is presented on various bio-inspired global optimization algorithms in the problem of digital filters design. The designed digital filters are minimal phase infinite impulse response digital filters with non-standard amplitude characteristics. Due to the non-standard amplitude characteristics, typical filter approximations cannot be used to solve this design problem. In our comparative study, we took into consideration the four most popular bio-inspired global optimization techniques. We examined bio-inspired algorithms such as: an ant colony optimization algorithm for a continuous domain, a particle swarm optimization algorithm, a genetic algorithm and a differential evolution algorithm. After experiments, we observed that the differential evolution algorithm is the most effective one for the problem of the digital filters design.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Shenoi, B.A.: Introduction to Digital Signal Processing and Filter Design. John Wiley & Sons, New Jersey (2006)
Lyons, R.G.: Understanding Digital Signal Processing. Prentice Hall (2004)
Chen, S., Istepanian, R.H., Luk, B.L.: Digital IIR filter design using adaptive simulated annealing. Digital Signal Processing 11(3), 241–251 (2001)
Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs. Springer, Heidelberg (1992)
Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley Publishing Company Inc. (1989)
Eberhart, R.C., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micromachine and Human Science, Nagoya, Japan, pp. 39–43 (1995)
Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, Piscataway, NJ, pp. 1942–1948 (1995)
Kennedy, J., Eberhart, R.C., Shi, Y.: Swarm intelligence. Morgan Kaufmann Publishers, San Francisco (2001)
Rainer, S., Price, K.: Differential Evolution - A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces. Journal of Global Optimization 11, 341–359 (1997)
Price, K.: An Introduction to Differential Evolution. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 79–108. McGraw-Hill, London (1999)
Socha, K., Doringo, M.: Ant colony optimization for continous domains. European Journal of Operational Research 185(3), 1155–1173 (2008)
Słowik, A., Białko, M.: Partitioning of VLSI Circuits on Subcircuits with Minimal Number of Connections Using Evolutionary Algorithm. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 470–478. Springer, Heidelberg (2006)
Slowik, A.: Application of Evolutionary Algorithm to Design of Minimal Phase Digital Filters with Non-Standard Amplitude Characteristics and Finite Bits Word Length. Bulletin of The Polish Academy of Science - Technical Science 59(2), 125–135 (2011), doi:10.2478/v10175-011-0016-z
Slowik, A., Bialko, M.: Design and Optimization of IIR Digital Filters with Non-standard Characteristics Using Continuous Ant Colony Optimization Algorithm. In: Darzentas, J., Vouros, G.A., Vosinakis, S., Arnellos, A. (eds.) SETN 2008. LNCS (LNAI), vol. 5138, pp. 395–400. Springer, Heidelberg (2008)
Bocewicz, G., Wójcik, R., Banaszak, Z.: AGVs distributed control subject to im- precise operation times. In: Nguyen, N.T., Jo, G.-S., Howlett, R.J., Jain, L.C. (eds.) KES-AMSTA 2008. LNCS (LNAI), vol. 4953, pp. 421–430. Springer, Heidelberg (2008)
Bocewicz, G., Banaszak, Z.: Declarative modeling of multimodal cyclic processes. In: Golinska, P., Fertsch, M., Marx-Gomez, J. (eds.) Information Technologies in Environmental Engineering. Environmental Science and Engineering - Environmental Engineering, vol. 3, pp. 551–568. Springer, Heidelberg (2011)
Ratuszniak, P.: Processor Array Design with the Use of Genetic Algorithm. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2011. LNCS, vol. 7116, pp. 238–246. Springer, Heidelberg (2012)
Słowik, A., Białko, M.: Design and Optimization of Combinational Digital Circuits Using Modified Evolutionary Algorithm. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 468–473. Springer, Heidelberg (2004)
Shi, Y., Eberhart, R.C.: A Modified Particle Swarm Optimizer. In: Proceedings of the IEEE Congress on Evolutionary Computation, pp. 69–73 (May 1998)
Karaboga, N.: Digital IIR filter design using differential evolution algorithm. EURASIP Journal on Applied Signal Processing 8, 1269–1276 (2005)
Karaboga, N., Cetinkaya, B.: Performance comparison of genetic and differential Evolution algorithms for digital FIR filter design. In: Yakhno, T. (ed.) ADVIS 2004. LNCS, vol. 3261, pp. 482–488. Springer, Heidelberg (2004)
Karaboga, N., Kalinli, A., Karaboga, D.: Designing digital IIR filters using ant colony optimisation algorithm. Engineering Applications of Artificial Intelligence 17(3), 301–309 (2004)
Dai, C., Chen, W., Zhu, Y.: Seeker optimization algorithm for digital iir filter design. IEEE Transactions on Industrial Electronics 51, 1710–1718 (2010)
Karaboga, N.: A new design method based on artificial bee colony algorithm for digital iir filters. Journal of the Franklin Institute 346, 328–348 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Słowik, A. (2014). Comparative Study on Bio-inspired Global Optimization Algorithms in Minimal Phase Digital Filters Design. In: Nguyen, N.T., Attachoo, B., Trawiński, B., Somboonviwat, K. (eds) Intelligent Information and Database Systems. ACIIDS 2014. Lecture Notes in Computer Science(), vol 8398. Springer, Cham. https://doi.org/10.1007/978-3-319-05458-2_23
Download citation
DOI: https://doi.org/10.1007/978-3-319-05458-2_23
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05457-5
Online ISBN: 978-3-319-05458-2
eBook Packages: Computer ScienceComputer Science (R0)