数字信号处理a（双语）chapter 6-z transform a(1)-豆柴文库

数字信号处理a（双语）chapter 6-z transform a(1).ppt

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Chapter6Chapter6z-TransformIntroduction 6.1Definition 6.2Rationalz-Transforms(有理z变换) 6.3RegionofConvergence（收敛域）ofaRationalz-TransformPartA:IntroductionPartA:Introduction6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-Transform6.1Definitionofz-TransformTable6.1Somecommonlyusedz-transformpairsIntroduction 6.1Definition 6.2Rationalz-Transforms(有理z变换) 6.3RegionofConvergence（收敛域）ofaRationalz-Transform6.2Rationalz-Transform6.2Rationalz-Transform6.2Rationalz-Transform6.2Rationalz-Transform6.2Rationalz-Transform6.2Rationalz-Transform6.2Rationalz-Transform6.2Rationalz-TransformIntroduction 6.1Definition 6.2Rationalz-Transforms(有理z变换) 6.3RegionofConvergence（收敛域）ofaRationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform有限长序列的Z变换有限长序列的Z变换例1：序列x（n）=δ（n）的Z变换由于n1=n2=0，其收敛域为整个闭域Z平面，0≤|Z|≤∞ 例2：矩形序列x（n）=RN（n）有限项等比级数求和 6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-TransformZ变换收敛域的特点：收敛域是一个圆环，有时可向内收缩到原点有时可向外扩展到∞，只有序列δ(n)的收敛域是整个Z平面收敛域内无极点，X(z)在收敛域内每一点上都是解析函数。 Z变换表示法：级数形式、解析表达式（注意:函数＋收敛域，缺一不可）6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-Transform6.3Regionofconvergenceofarationalz-TransformHomework

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