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MATLAB are very good very good

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2013-09-27 07:52:25
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Description

transformation), 是对离散序列进行的一种数学变换。常用以求线性时不变差分方程的解。它在离散时间系统中的地位,如同拉普拉斯变换在连续时间系统中的地位。这一方法 ( 即离散时间信号的Z变换)已成为分析线性时不变离散时间系统问题的重要工具。在数字信号处理、计算机控制系统等领域有广泛的应用。


z变换的存在充分必要条件是:级
初等函数的z变换

  初等函数的z变换

数绝对可和。
使级数绝对可和的成立的所有Z值称为Z变换域的收敛域
Z变换的表达式及其对应的收敛域才能确定原始的离散序列
z变换的收敛域:
(1) 有序长序列:x(n)=0 (n1<n<n2) 其z变换为:
收敛域为:三种情况
(2)因果序列:x(n) = f(n)u(n) 其Z变换为:
收敛域为:
(3)右序列 x(n) =0 n<n1 Z变换为:
收敛域为:两种情况


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