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2025-L14

# 2025-L14 - ECE-2025 Spring-2009 Info Quiz Lab HW HW Quiz#2...

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ECE-2025 Spring-2009 Lecture 14 Z Transforms: Introduction 7 eb 9 27-Feb-09 fo: uiz ab HW Info: Quiz, Lab, HW uiz #2 on 9 arch (Monday) ± Quiz #2 on 9-March (Monday) ± Coverage: HW #5, #6, #7, and #8 ± One page of Hand-written notes ± Review Session: Sunday (8-March) ± ECE Auditorium, 6pm ± Sampling, FIR filters, Frequency Response 2/28/2009 ECE-2025 Spring-09 jMc 2 EADING ASSIGNMENTS READING ASSIGNMENTS ± This Lecture: ± Chapter 7, Sects 7-1 through 7-5 ± ther Reading: Other Reading: ± Recitation: Ch. 7 ± ASCADING SYSTEMS CASCADING SYSTEMS ± Next Lecture: Chapter 7, 7-6 to the end 2/28/2009 ECE-2025 Spring-04 jMc 4 ECTURE OBJECTIVES 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 z n h z H ] [ ) ( ) ( ] [ z H n h ) ( ] [ z X n x 2/28/2009 ECE-2025 Spring-04 jMc 5 g[ ] () n

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WO (no THREE) DOMAINS TWO (no, THREE) DOMAINS - RANSFORM- OMAIN Z TRANSFORM DOMAIN POLYNOMIALS: H(z) FREQ-DOMAIN TIME-DOMAIN } { k b k j M k j e b e H ω ˆ ˆ ) ( = = M k n x b n y ] [ ] [ 2/28/2009 ECE-2025 Spring-04 jMc 6 k 0 = = k k 0 RANSFORM CONCEPT TRANSFORM CONCEPT ± Move to a new domain where ±
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2025-L14 - ECE-2025 Spring-2009 Info Quiz Lab HW HW Quiz#2...

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