ANALYSIS AND SYNTHESIS OF DIGITAL STRUCTURE BY MATRIX METHOD

B. Psenicka, R. Bustamante Bello, M. A. Rodriguez

2005

Abstract

This paper presents a general matrix algorithm for analysis and synthesis of digital filters. A useful method for computing the state-space matrix of a general digital network and a new technique for the design of digital filters are shown by means of examples. The method proposed in this paper allows the analysis of the digital filters and the construction of new equivalent structures of the canonic and non canonic digital filter forms. Equivalent filters with different structures can be found according to various matrix expansions. The procedure proposed in this paper is more efficient and economic than traditional methods because it permits to construct circuits with a minimum of shifting operations.

References

  1. R. Luecker, Matrixbeschreibung und Analyse zeit discreter Systeme., Forschungsbericht Nr. 81. Informationsbibliothek Hannover: RN 2251. 1976.
  2. B. Ps?enic?ka and G. Herrera, Synthesis of Digital Filters by Matrix Method. Proceedings of the IASTED International Conference on Signal and Image Processing. SIP 97. December 4-6, 1997, New Orleans, Louisiana, USA. pp.409-412.
  3. B. Ps?enic?ka and F. García Ugalde, Design of State Digital Filters without Multipliers. ICSPAT 7-19 October 1999, USA.
  4. B. Psenicka, F. Ugalde and J. Savage, Design of State Digital Filters. IEEE Trans. on Signal Processing. Volume 46, Number 9, pp. 2544-2549, September 1998.
  5. C. W. Barnes, On the Design of Optimal State-Space Realizations of Second-Order Digital Filters. IEEE Trans. on CAS, Vol. 31, No. 7, pp. 602-608, July 1984.
  6. B.W. Bomar, New Second-Order State-Space Structures for Realizing Low Roundoff Noise Digital Filters. IEEE Trans. on ASSP, Vol. 33, No. 1, pp. 106-110, February 1985.
  7. B.W. Bomar, Computationally Efficient Low Roundoff Noise Second-Order State-Space Structures. IEEE Trans. on CAS, Vol. 33, No. 1, pp. 35-41, January 1986.
  8. Z. Smékal and R. Vích R, Optimized Models of IIR Digital Filters for Fixed Point Digital Signal Processor. Proceedings of the 6th IEEE International Conference on Electronics Circuits and System ICES 99. September 5-8 1999, Cyprus, pp 145-148. ISBN 0-7803-5682-9.
  9. Z. Smékal, Spectral Analysis and Digital Filter Banks. Proceedings of the International Conference on Research in Telecommunication Technology. (RTT 2001), September 24-26, 2001, Lednice, Czech Republik, pp. 67- 70. ISBN 80-214-1938-5.
Download


Paper Citation


in Harvard Style

Psenicka B., Bustamante Bello R. and A. Rodriguez M. (2005). ANALYSIS AND SYNTHESIS OF DIGITAL STRUCTURE BY MATRIX METHOD . In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 972-8865-31-7, pages 22-29. DOI: 10.5220/0001165200220029


in Bibtex Style

@conference{icinco05,
author={B. Psenicka and R. Bustamante Bello and M. A. Rodriguez},
title={ANALYSIS AND SYNTHESIS OF DIGITAL STRUCTURE BY MATRIX METHOD},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2005},
pages={22-29},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001165200220029},
isbn={972-8865-31-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - ANALYSIS AND SYNTHESIS OF DIGITAL STRUCTURE BY MATRIX METHOD
SN - 972-8865-31-7
AU - Psenicka B.
AU - Bustamante Bello R.
AU - A. Rodriguez M.
PY - 2005
SP - 22
EP - 29
DO - 10.5220/0001165200220029