SPFirst-L14

# SPFirst-L14 - Signal Processing First READING ASSIGNMENTS...

This preview shows pages 1–3. Sign up to view the full content.

8/22/2003 © 2003, JH McClellan & RW Schafer 1 Signal Processing First Lecture 14 Z Transforms: Introduction 8/22/2003 © 2003, JH McClellan & RW Schafer 3 READING ASSIGNMENTS ± This Lecture: ± Chapter 7, Sects 7-1 through 7-5 ± Other Reading: ± Recitation: Ch. 7 ± CASCADING SYSTEMS ± Next Lecture: Chapter 7, 7-6 to the end 8/22/2003 © 2003, JH McClellan & RW Schafer 4 LECTURE OBJECTIVES ± INTRODUCE the Z-TRANSFORM ± Give Mathematical Definition ± Show how the H(z) POLYNOMIAL simplifies analysis ± CONVOLUTION is SIMPLIFIED ! ± Z-Transform can be applied to ± FIR Filter: h[n] --> H(z) ± Signals: x[n] --> X(z) = n n z n h z H ] [ ) ( ) ( ] [ z H n h ) ( ] [ z X n x 8/22/2003 © 2003, JH McClellan & RW Schafer 5 TWO (no, THREE) DOMAINS Z-TRANSFORM-DOMAIN POLYNOMIALS: H(z) FREQ-DOMAIN k j M k k j e b e H ω ˆ 0 ˆ ) ( = = TIME-DOMAIN = = M k k k n x b n y 0 ] [ ] [ } { k b

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

View Full Document
8/22/2003 © 2003, JH McClellan & RW Schafer 6 TRANSFORM CONCEPT ± Move to a new domain where ± OPERATIONS are EASIER & FAMILIAR ± Use POLYNOMIALS ± TRANSFORM both ways ± x[n] ---> X(z) (into the z domain) ± X(z) ---> x[n]
This is the end of the preview. Sign up to access the rest of the document.

## SPFirst-L14 - Signal Processing First READING ASSIGNMENTS...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online