常用的Z变换公式表

序号拉氏变换E(s)时间函数e(t)Z变换E(z)11()t12ensT()tnTnz31su(t)1zz421st2(1)Tzz531s22!t23(1)2(1)Tzzz641s33!t324(41)6(1)Tzzzz71(1/)lnsTa/tTazza81saeateaTzz921()saeatt2e(e)aTaTTzz1031()sa21e2att22223ee2(e)(e)aTaTaTaTTzTzzz11()assa1eat(1e)(1)(e)aTaTzzz122()assa1(1e)aTta2(1e)(1)(1)(e)aTaTTzzzazz131()()()sasbscee()()()()e()()atbtctbacaabcbacbc()()(e)()()(e)()()(e)aTbTcTzzbacazabcbzzacbcz14()()()sdsasbsc()()ee()()()()()e()()atbtctdadbbacaabcbdcacbc()()()()(e)()()(e)()()()(e)aTbTcTdazdbzbacazabcbzdczacbcz15()()()abcssasbsc1ee()()()()e()()atbtctbccabacacbababacbc1()()(e)()()(e)()()(e)aTbTcTzbczcazzbacazcbabzabzacbcz1622ssint2sin2cos1zTzzT1722sscost2(cos)2cos1zzTzzT1822ssinht2sinh2cosh1zTzzT1922scosht2(cosh)2cosh1zzTzzT20222()ss1cost2(cosh)12cosh1zzzTzzzT2122()saesinaTT22esin2ecoseaTaTaTzTzzT2222()sasaecosaTT222ecos2ecoseaTaTaTzzTzzT23()()basasbeeatbteeaTbTzzzz24222()()abssasb22()eeaTbTbaabtababab222()1(1)()(e)()(e)aTbTabTzabzbzazzzabzabz