Skip to main content
SpringerLink
Log in

Cascade realization of 2-D separable in denominator filters

  • Published:
Circuits, Systems and Signal Processing Aims and scope Submit manuscript

Abstract

After selecting the most suitable model for the class of two-dimensional quarter-plane-causal, recursive, and separable in denominator (CRSD) filters, a procedure for realizing a cascade system of such filters is developed. The realization utilizes the individual CRSD models constituting the cascade system. An example is given to further illustrate the technique.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. P. Roesser, “A discrete state-space model for linear image processing,” IEEE Trans. on Automatic Control, Vol. AC-20, pp. 1–10, Feb. 1975.

    Google Scholar 

  2. T. Hinamoto, “Realizations of a state-space model from two-dimensional inputoutput map,” IEEE Trans. on Circuit and Systems, Vol. CAS-27, No. 1, Jan. 1980.

  3. B. Lashgari, L. M. Silverman, and J. F. Abramatic, “Approximation of 2-D separable in denominator filters,” to appear in the IEEE Trans. on Circuit and Systems, 1983; also “Approximation of 2-D separable Denominator Recursive Filters,” 1982 IEEE Inter. Conf. on Acoustics, Speech and Signal Processing, Paris.

  4. A. V. Oppenhiem and R. W. Schafer,Digital Signal Processing, Prentice-Hall, 1975.

  5. F. R. Gant Macher,Matrix Theory, Vol. I, Chelsea, 1959.

  6. S. Kung, B. C. Levy, M. Morf, and T. Kailath, “New results in 2-D systems theory, part II: 2-D state-space models realization and the notions of controllability, observability, and minimality,” Proc. IEEE, Vol. 65, pp. 945–961, June 1977.

    Google Scholar 

  7. G. H. Golub and C. Reinsch, “Singular value decomposition and least square solution,”Numerische Mathematik, Vol. 14, No. 5, pp. 403–420, 1970.

    Google Scholar 

  8. C. T. Chen,Introduction to Linear System Theory, Holt, Rinehart and Winston, 1970.

    Google Scholar 

  9. F. Fornasini and G. Marchesini, “State-space realization theory of twodimensional filters,” IEEE Trans. Automat. Contr., Vol. AC-21, pp. 484–492, Aug. 1976.

    Google Scholar 

  10. S. Attasi,Modelling and Recursive Estimation for Double Indexed Sequences,System Identification: Advances and Case Studies, Academic Press, 1976.

  11. B. Lashgari, “Two-Dimensional approximation, model reduction and minimum variance error estimation,” Ph.D. thesis, Dept. of elec. Eng., University of Southern California, Dec. 1981.

Download references

Author information

Author notes

  1. Bijan Lashgari

    Present address: Science and Technology Division, Union Oil Company of California, 92621, Brea, California, USA

Authors and Affiliations

  1. Department of Electrical Engineering-Systems, University of Southern California, Los Angeles, California

    Bijan Lashgari

  2. Department of Electrical Engineering-Systems, University of Southern California, 90089-0272, Los Angeles, California, USA

    Leonard M. Silverman

Authors
  1. Bijan Lashgari
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Leonard M. Silverman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported in part by the U.S. Army Research Grant No. DAAG29-79-C-0054 and the National Science Foundation Grant ECS-8011911.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lashgari, B., Silverman, L.M. Cascade realization of 2-D separable in denominator filters. Circuits Systems and Signal Process 2, 193–201 (1983). https://doi.org/10.1007/BF01599158

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01599158

Keywords

Search

Navigation