《信号与线性系统分析基础 》 课件 6.4 离散系统的单位样值响应和单位阶跃响应.ppt

吉林大学TheInversez-TransformTheInversez-Transform（IZT）Integral:DefinitionalongacounterclockwiseclosedcircularcontourthatiscontainedintheROCofF(z).ROCandtheInversez-TransformROCf(k)Causalsequence|z|af1(k)e(k)Anticausalsequence|z|bf2(k)e(-k-1)Two-sidedsequencea|z|bf1(k)e(k)+f2(k)e(-k-1)吉林大学TheInversez-Transform——PartialfractionexpansionsPartialfractionexpansionsRationalpolynomial:Procedure:×zIZTPartialfractionexpansionsDistinctPolesSupposethatthepolesz1,z1,…,zNofF(z)aredistinctandareallnonzero.Example:PartialfractionexpansionsDistinctPolesSupposethatthepolesz1,z1,…,zNofF(z)aredistinctandareallnonzero.Example:PartialfractionexpansionsDistinctPolesSupposethatthepolesz1,z1,…,zNofF(z)aredistinctandareallnonzero.Example:PartialfractionexpansionsDistinctPolesz1,2=ae±jbROC：|z|?ComplexPoles:PartialfractionexpansionsDistinctPolesz1,2=ae±jbComplexPoles:Example: