The multidimensional z -transform and its use in solution of partial difference equations

Jiří Gregor

Kybernetika (1988)

  • Volume: 24, Issue: Suppl1, page (1)-39
  • ISSN: 0023-5954

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Gregor, Jiří. "The multidimensional $z$-transform and its use in solution of partial difference equations." Kybernetika 24.Suppl1 (1988): (1)-39. <http://eudml.org/doc/27420>.

@article{Gregor1988,
author = {Gregor, Jiří},
journal = {Kybernetika},
keywords = {multidimensional -transform; partial difference equations; survey; constant coefficients; digital system theory},
language = {eng},
number = {Suppl1},
pages = {(1)-39},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The multidimensional $z$-transform and its use in solution of partial difference equations},
url = {http://eudml.org/doc/27420},
volume = {24},
year = {1988},
}

TY - JOUR
AU - Gregor, Jiří
TI - The multidimensional $z$-transform and its use in solution of partial difference equations
JO - Kybernetika
PY - 1988
PB - Institute of Information Theory and Automation AS CR
VL - 24
IS - Suppl1
SP - (1)
EP - 39
LA - eng
KW - multidimensional -transform; partial difference equations; survey; constant coefficients; digital system theory
UR - http://eudml.org/doc/27420
ER -

References

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  1. M. Bosák, J. Gregor, On generalized difference equations, Apl. Math. 32 (1987), 3, 224-239. (1987) MR0895880
  2. N. K. Bose, Applied Multidimensional Systems Theory, Van Nostrand, New York 1982. (1982) Zbl0574.93031MR0652483
  3. N. K. Bose (ed.), Multidimensional Systems Theory, D. Reidel, Dordrecht 1984. (1984) 
  4. D. E. Dudgeon, R. M. Mercereau, Multidimensional Digital Signal Processing, Prentice-Hall, N. J. 1984. (1984) 
  5. R. Eising, State space realization and inversion of 2-D systems, IEEE Trans. Circuits and Systems CAS-27 (1980), 7, 612-619. (1980) Zbl0455.93014MR0581412
  6. J. Gregor, Solution of n -D difference equations by the z -transform, In: Signal Processing III: Theories and Applications (I. T. Young, ed.), Elsevier Sci. Publ., Haag 1986, pp. 713-716. (1986) 
  7. T. S. Huang (ed), Two-Dimensional Digital Signal Processing I, Springer-Verlag, Berlin--Heidelberg--New York 1981. (1981) MR0688311
  8. L. Rabiner, B. Gold, Theory and Application of Digital Signal Processing, Prentice-Hall, N. J. 1975. (1975) 
  9. L. S. Sobolev, Introduction to the Theory of Cubature Formulae, Nauka, Moscow 1974. (In Russian.) (1974) MR0478560
  10. B. V. Šabat, Introduction to Complex Analysis. Vol. II, Nauka, Moscow 1976. (In Russian.) (1976) MR0584932
  11. S. G. Tzafestas, N. J. Theodorou, Multidemnsional state-space models: A comparative overview, Math. Comput. Simulation 26 (1984), 432-442. (1984) MR0762921
  12. R. Vich, The z-transform and Its Application, SNTL, Prague 1979. (In Czech). (1979) 
  13. D. Zeilberger, The algebra of partial difference operators and its applications, SIAM J. Math. Anal. 39 (1980), 6, 919-932. (1980) MR0595820

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