| Title:
|
The multidimensional $z$-transform and its use in solution of partial difference equations (English) |
| Author:
|
Gregor, Jiří |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
24 |
| Issue:
|
7 |
| Year:
|
1988 |
| Pages:
|
(1),3-39 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35A22 |
| MSC:
|
39A10 |
| MSC:
|
44A55 |
| MSC:
|
65E05 |
| MSC:
|
93C62 |
| MSC:
|
94A11 |
| idZBL:
|
Zbl 0671.35009 |
| idMR:
|
MR0942838 |
| . |
| Date available:
|
2009-09-24T18:09:15Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124265 |
| . |
| Reference:
|
[1] M. Bosák, J. Gregor: On generalized difference equations.Apl. Math. 32 (1987), 3, 224-239. MR 0895880 |
| Reference:
|
[2] N. K. Bose: Applied Multidimensional Systems Theory.Van Nostrand, New York 1982. Zbl 0574.93031, MR 0652483 |
| Reference:
|
[3] N. K. Bose (ed.): Multidimensional Systems Theory.D. Reidel, Dordrecht 1984. |
| Reference:
|
[4] D. E. Dudgeon, R. M. Mercereau: Multidimensional Digital Signal Processing.Prentice-Hall, N. J. 1984. |
| Reference:
|
[5] R. Eising: State space realization and inversion of 2-D systems.IEEE Trans. Circuits and Systems CAS-27 (1980), 7, 612-619. Zbl 0455.93014, MR 0581412 |
| Reference:
|
[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. |
| Reference:
|
[7] T. S. Huang (ed): Two-Dimensional Digital Signal Processing I.Springer-Verlag, Berlin--Heidelberg--New York 1981. MR 0688311 |
| Reference:
|
[8] L. Rabiner, B. Gold: Theory and Application of Digital Signal Processing.Prentice-Hall, N. J. 1975. |
| Reference:
|
[9] L. S. Sobolev: Introduction to the Theory of Cubature Formulae.Nauka, Moscow 1974. (In Russian.) MR 0478560 |
| Reference:
|
[10] B. V. Šabat: Introduction to Complex Analysis. Vol. II.Nauka, Moscow 1976. (In Russian.) MR 0584932 |
| Reference:
|
[11] S. G. Tzafestas, N. J. Theodorou: Multidemnsional state-space models: A comparative overview.Math. Comput. Simulation 26 (1984), 432-442. MR 0762921 |
| Reference:
|
[12] R. Vich: The z-transform and Its Application.SNTL, Prague 1979. (In Czech). |
| Reference:
|
[13] D. Zeilberger: The algebra of partial difference operators and its applications.SIAM J. Math. Anal. 39 (1980), 6, 919-932. MR 0595820 |
| . |
