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Page 1: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 1

DSP, Z transform 2

Page 2: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 3

DSP, Z transform 4

Page 3: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 5

DSP, Z transform 6

Page 4: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 7

DSP, Z transform 8

Page 5: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 9

DSP, Z transform 10

Page 6: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 11

DSP, Z transform 12

Page 7: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 13

DSP, Z transform 14

Page 8: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 15

DSP, Z transform 16

Page 9: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 17

DSP, Z transform 18

Page 10: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 19

DSP, Z transform 20

Page 11: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 21

DSP, Z transform 22

Page 12: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 23

DSP, Z transform 24

Page 13: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 25

DSP, Z transform 26

Page 14: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 27

DSP, Z transform 28

Page 15: DSP, Z transform 1ce.sharif.edu/courses/93-94/1/ce763-2/resources/root/Lecture Notes... · ROC is necessary! To completely define a Z T, you must specify the ROC: z-plane x[n] x[n]

DSP, Z transform 29

DSP, Z transform 30

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PROPERTIES OF THE ROC FOR THE z-TRANSFORMhjlee103/courses/ELG4177/ch...PROPERTY 1: The ROC will either be of the form 0 < rR < Izl, or Izl < < 00, or, in general the annulus, i.e.,

Homework 3. Problem 3.7 The input to a causal, LTI system is: The output z-transform is: Determine: – (a) H(z) and ROC – (b) ROC of Y[z] – (c) y[n]

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