2025-L02

# 2025-L02 - ECE-2025 Spring-2004 Info Web-CT Lab HW Final...

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ECE-2025 Spring-2004 Lecture 25 3 Domains for IIR Systems 19-April-04 4/18/2004 ECE-2025 Spring-03 jMc 2 Info: Web-CT, Lab, HW Final Exam on 30-April (Friday, period 15) Coverage: Everything One page of Hand-written notes (8.5 by 11 in) Reviews: Thurs,29-April, 6pm, ECE Auditorium Another one on Wed or Thursday Schedule: Homework #12 due the last day of class Lab #11 due the last week Survey this week Lab #12 will be two parts, entirely in-Lab (i.e., no report) 4/18/2004 ECE-2025 Spring-03 jMc 3 PeZ Demo: Pole-Zero Placing H(z) POLE can move 4/18/2004 ECE-2025 Spring-03 jMc 4 IIR Elliptic LPF (N=3) 3 POLES Lecture 3 ZEROS

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4/18/2004 ECE-2025 Spring-03 jMc 5 READING ASSIGNMENTS This Lecture: Chapter 8, all Other Reading: Recitation: Ch. 8, all POLES & ZEROS Next Lecture: Last one 4/18/2004 ECE-2025 Spring-03 jMc 6 LECTURE OBJECTIVES SECOND-ORDER IIR FILTERS TWO FEEDBACK TERMS H(z) can have COMPLEX POLES & ZEROS THREE-DOMAIN APPROACH BPFs have POLES NEAR THE UNIT CIRCLE y [ n ] = a 1 y [ n 1] + a 2 y [ n 2] + b k x [ n k ] k = 0 2 4/18/2004 ECE-2025 Spring-03 jMc THREE DOMAINS a A , b k { } Z-TRANSFORM-DOMAIN: poles & zeros POLYNOMIALS: H(z) Use H(z) to get Freq. Response z = e j ˆ ω H ( z ) = b k z k 1 a A z A FREQ-DOMAIN A A A ω ω ω ˆ 1 ˆ 0 ˆ 1 ) ( j N k j M k k j e a e b e H = = = TIME-DOMAIN = = + = M k k N k n x b n y a n y 0 1 ] [ ] [ ] [ A A A 4/18/2004 ECE-2025 Spring-03 jMc 8
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