EE3TP4_Z_Transform_Extra_1a_v5_Lecture37

# EE3TP4_Z_Transform_Extra_1a_v5_Lecture37 - The Z Transform...

This preview shows pages 1–33. Sign up to view the full content.

1 The Z Transform X z = n = 0 x [ n ] z n x [ n ] ↔ X z

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
x [ n ]= { 1 n = 0,1 2 n 1 Find X z where x [ n ]= n  n 1  2 u n 2 X z = 1 z 1 2z 2 z z 1 = z 2 1 z z 1
x [ n ]= sin n 2 u n 2 Find X z where From the Z transform tables: sin n 2 u n z z 2 1 sin n 2 u n = sin n 2 u n 2  n 1 Note that: sin n 2 | n = 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
sin n 2 u n 2 = sin n 2 u n − n 1 X z = z z 2 1 z 1 = 1 z z 2 1
n m a n m u n m z z a m 1 Shift to the left property

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
DT System Realizations LTI discrete-time systems involve difference equations and causal shifting of the input and output, e.g., y [ n ]− ay [ n 1 ]= x [ n ] y [ n ]= ay [ n 1 ] x [ n ] or + D a y[n]

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 02/01/2011 for the course ECE 3TP4 taught by Professor Drterrencetodd during the Fall '10 term at McMaster University.

### Page1 / 33

EE3TP4_Z_Transform_Extra_1a_v5_Lecture37 - The Z Transform...

This preview shows document pages 1 - 33. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online