2020/8/11,课件,1,三、z变换的基本性质与定理,1、线性 若,则,2020/8/11,课件,2,2、序列的移位,若,则,2020/8/11,课件,3,2020/8/11,课件,5,4、序列的线性加权（z域求导数）,若,则,同理：,2020/8/11,课件,6,2020/8/11,课件,7,5、共轭序列,若,则,证：,2020/8/11,课件,8,6、翻褶序列,若,则,2020/8/11,课件,9,7、初值定理,证：因为x(n)为因果序列,2020/8/11,课件,10,8、终值定理,设x(n)为因果序列，且X(z)=ZTx(n)的极点处于单位圆以内（单位圆上最多在z=1处可有一阶极点），则：,2020/8/11,课件,11,2020/8/11,课件,12,9、有限项累加特性,设x(n)为因果序列，即x(n)=0，n0,则,2020/8/11,课件,13,2020/8/11,课件,14,10、序列的卷积和（时域卷积和）,设y(n)为x(n)与h(n)的卷积和：,则,且,2020/8/11,课件,15,2020/8/11,课件,16,2020/8/11,课件,17,11、序列相乘（z域复卷积定理）,若,则,且,2020/8/11,课件,18,2020/8/11,课件,19,2020/8/11,课件,20,2020/8/11,课件,21,12、Parseval定理,若,则,且,2020/8/11,课件,22,2020/8/11,课件,23,