《信号与系统教学资料》Z-Transform.pptVIP

* * * * * * * * * * * 7. DT LTI Systems Described by LCCDEs ROC: Depends on Boundary Conditions, left-, right-, or two-sided. For Causal Systems ? ROC is outside the outermost pole 8. System Function Algebra and Block Diagrams 8. System Function Algebra and Block Diagrams 9. Unilateral z-Transform 9. Properties of Unilateral z-Transform Many properties are analogous to properties of the BZT e.g. Use of UZTs in Solving Difference Equations with Initial Conditions Example (continued) * * * * * * * * * * * * * * * * * * * * * * * * * Signals and Systems Spring 2014 Lecture #22 17 May, 2014 Chen Zubin (陈祖斌) Room 304, Geology Palace, 0431 czb@jlu.edu.cn Signals and Systems 1. Introduction to the Z-Transform2. Properties of the ROC of the z-Transform3.Inverse z-Transform4.Properties of the z-Transform5.System Functions of DT LTI 6. Geometric Evaluation of z-Transforms and DT Frequency Responses7. First-and Second-Order Systems8. System Function Algebra and Block Diagrams9. Unilateral z-Transforms 1. Introduction to the Z-Transform The (Bilateral) z-Transform Motivation:Analogous to Laplace Transform in CT 1. Introduction to the Z-Transform The ROC and the Relation Between zT and DTFT 1. Introduction to the Z-Transform 1. Introduction to the Z-Transform 1. Introduction to the Z-Transform Rational z-Transforms x[n] = linear combination of exponentials for n 0 and for n 0 — characterized (except for a gain) by its poles and zeros 1. Introduction to the Z-Transform The z-Transform -depends only on r= |z|, just like the ROC in s-plane only depends on Re(s) ?Last time: ?Unit circle (r= 1) in the ROC ?DTFT X(ejω) exists ?Rational transforms correspond to signals that are linear combinations of DT exponentials 1. Introduction to the Z-Transform Some Intuition on the Relation between zT and LT More intuition on zT-LT, s-plane -z-plane relationship 2. Properties of the ROCs of z-Transforms (1) The ROC of X(z) consists of a r