Ch8-作业解答-2010

Ch8-作业解答-2010

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Ch8 习题参考解答 8-1 求下列序列的 z 变换 () Xz ,并标明收敛域,绘出 的零极点图。 解:
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1 ~ 9 )各题对应的零极点图如解图 8-1 a ~ i )所示。 1 解图 8-1
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8-3 求下列序列的 z 变换,并标明收敛域,绘出零极点图。 1 0 ( ) cos( ) ( ) (0 1) n x n Ar n u n r    2 ( ) ( ) ( ) ( ) N x n R n u n u n N 解: 1 由于 因此 由于 因此 其零极点图如解图 8-3 a )所示。 2 根据 z 变换定义有
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其零极点图如解图 8-3 b )所示,图中极点 0 N-1 阶的。 2 解图 8-3 8-6 利用三种逆 z 变换方法求下列 () Xz 的逆变换 xn 10 ( ) (|z|>2) ( 1)( 2) z zz  解: 1 部分分式展开法: 2 留数法:
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3 幂级数展开法:
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8-10 求下列 () Xz 的逆变换 xn 解: 3 由于收敛域为 |z|>1 ,因此 为右边序列。由 11 ( ) [ ] ( ) 2 sin 2 sin sin( 1) sin ( ) sin jj jn jn ee x n e e u n nn un 
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Ch8-作业解答-2010

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