s plane
I
’i’he z-transform of t h e discrete unit, step kunci,ioil &[Xi (13.6) is
Z { E [ k ] } = - E.- / z / :> I
L 1 ’ w% iiow arrive directly at, the Lapla,ce transfornl of the coirtinuous-timr signal
by setting 2 = P ’
The h i m e ho~cls for practical app1icaLioii of ttrr ,z-1 rarisform as for the Laplace
i r ansform, w1iic.h wc liavc alr
qucnce I y maluating tJie w r r
queiices z [ k ; (compare Example 13.1) For ott-icr cases, wc try t o refei t o these siniple sciirs by iising sonic gcnclral rules Thvse grneral rule5 will be sum- marised by a series of theorerns that h a w n lot of similarities a i t h the thwrems
y covered Calculating 1 he z-i r:~iic;forni of a
t h r r formula (13.1) only leads to (13.3) for