Wiley signals and systems e book TLFe BO 341

s plane I xaniple 13.5 ’i’he z-transform of t h e discrete unit, step kunci,ioil &[Xi (13.6) is Z { E [ k ] } = -L.E.- ’ / z />: I w% iiow arrive directly at, the Lapla,ce transfornl of the coirtinuous-timr signal by setting = P’ The h i m e ho~clsfor practical app1icaLioii of ttrr ,z-1 rarisform as for the Laplace i r ansform, w1iic.h wc liavc alr y covered Calculating he z-i r:~iic;forniof a qucnce I y maluating tJie w r r t h r r formula (13.1) only leads to (13.3) for queiices z[k;(compare Example 13.1).For ott-icr cases, wc try to refei t o these siniple sciirs by iising sonic gcnclral rules Thvse grneral rule5 will be summarised by a series of theorerns that h a w n lot of similarities aith the thwrems