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Design of Digital IIR filters with the Advantages of Model Order Reduction Technique
Abstract:In this paper, a new model order reduction phenomenon is introduced at the design stage of linear phase digital IIR filter. The complexity of a system can be reduced by adopting the model order reduction method in their design. In this paper a mixed method of model order reduction is proposed for linear IIR filter. The proposed method employs the advantages of factor division technique to derive the reduced order denominator polynomial and the reduced order numerator is obtained based on the resultant denominator polynomial. The order reduction technique is used to reduce the delay units at the design stage of IIR filter. The validity of the proposed method is illustrated with design example in frequency domain and stability is also examined with help of nyquist plot.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082931Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1437
 R. Prasad, J. Pal, and A. K. Pant, "Multivariable system approximation using polynomial derivatives," Journal of the Institution of Engineers, vol. 76, pp. 186-188, 1995.
 Y. Bistritz and U. Shaked, "Minimal Pade model reduction for multivariable systems," Journal of Dynamic Systems, Measurement and Control, vol. 106, no. 4, pp. 293-299, 1984.
 C. F. Chen, "Model reduction of multivariable control systems by means of matrix continued fractions," International Journal of Control, vol. 20, no. 2, pp. 225-238, 1974.
 M. R. Calfe and M. Healey, "Continued fraction model reduction technique for multivariable systems," Proceedings of the Institution of Electrical Engineers, vol. 121, no. 5, pp. 393- 395, 1974.
 R. Prasad, "Pade type model order reduction for multivariable systems using routh approximation," Computers & Electrical Engineering, vol. 26, no. 6, pp. 445-459, 2000.
 R. Prasad, A. K. Mittal, and S. P. Sharma, "A mixed method for the reduction of multi-variable systems," Journal of the Institution of Engineers, vol. 85, pp. 177-181, 2005.
 L. Shieh and Y.Wei, "A mixed method for multivariable system reduction," IEEE Transactions on Automatic Control, vol. 20, no. 3, pp. 429-432, 1975.
 Y Shamash," Model Reduction using the Routh Stability Criterion and the Pade Approximation Technique", International Journal of Control, vol 21, no 3, pp 475-484, 1975.
 T C Chen, C Y Chang, and K W Han, "Model Reduction using Stability equation Method and the Pade Approximation Method", Journal of Frankline Institute, vol 309, 1980, pp 473-490.
 T C Chen, C Y Chang, and K W Han, "Model Reduction using Stability equation Method and Continued Fraction Method", International Journal of Control, vol 32, no 1, 1980, pp 81-94.
 J Pal, A K Sinha, and N K Sinha, "Reduced-order Modeling using Pole Clustering and Time-moment Matching", Journal of The Institution of Engineers (India), Pt El, vol 76, 1995, pp 1-6.
 D K Gupta, S K Bhagat and J P Tewari, "A Mixed Method for the Simplification of Linear Dynamic Systems," in Proceedings of International Conference on Computer Applications in Electrical Engineering Recent Advances, IIT, Roorkee, February 21-23, 2002, pp 455-459.
 S K Bhagat, J P Tewari and T Srinivasan, "Some Mixed Methods for the Simplification of High-order Single-input Single-output Systems," IE (I) Journal.EL, Vol 85, pp.120-123, Sep 2004.
 K.Ramesh, A.Nirmalkumar and G.Gurusamy, "Order reduction by error minimization technique," Proceedings of International Conference on Computing, Communication and Networking 2008, Dec 2008, pp 1-6.