Multidimensional transform: Difference between revisions

Revision as of 22:26, 14 November 2019

Revision as of 17:13, 22 November 2019

Line 134:

<math display="block">F(s_1,s_2)= \int\limits_{0}^{\infty}\int\limits_{0}^{\infty}\ f(x,y) e^{-s_1x-s_2y}\, dxdy</math>

<math> F(s_1,s_2) </math> is called the image of <math> f(x,y) </math> and <math> f(x,y) </math> is known as the original of <math> F(s_1,s_2) </math>.<ref name=":1">{{Cite journal|url = |title = Multi-Dimensional Laplace Transforms and Systems of Partial Differential Equations |last = Aghili and Moghaddam|journal = International Mathematical Forum |volume=1 |year=2006 |issue=21 |pages=1043–1050|doi = 10.12988/imf.2006.06084|pmid = |access-date = cn}}</ref> This special case can be used to solve the [[Telegrapher's equations]].<ref name=":1" />{{cn}}}

== Multidimensional Z transform<ref>{{Cite web|url = http://dsp-book.narod.ru/HFTSP/8579ch08.pdf|title = Narod Book|date = |accessdate = |website = |publisher = |last = |first = }}</ref> ==