Signal Processing> Z Transform Properties

Z-transform final value theorem. Valid only if polues of (z-1)X(z) are inside the unit circle.

LaTeX Code:

x\left( \infty \right) = \mathop {\lim }\limits_{z \to 1} \left( {z - 1} \right)X\left( z \right)

MathType 5.0 Code:

% MathType!MTEF!2!1!+-
% feaafaart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbb
% a9q8WqFfeaY-biLkVcLq-JHqpepeea0-as0Fb9pgeaYRXxe9vr0-vr
% 0-vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaiaadIhadaqada
% qaaiabg6HiLcGaayjkaiaawMcaaiabg2da9maaxababaGaciiBaiaa
% cMgacaGGTbaaleaacaWG6bGaeyOKH4QaaGymaaqabaGcdaqadaqaai
% aadQhacqGHsislcaaIXaaacaGLOaGaayzkaaGaamiwamaabmaabaGa
% amOEaaGaayjkaiaawMcaaaaa!492C!

Pasting the above "text" into MathType 5.0 will enter the above equation and make it possible to edit, save, and use in applications such as MS Word.