2025-L15 - ECE-2025 Spring-2004 Lecture 15 Zeros of H(z)...

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Unformatted text preview: ECE-2025 Spring-2004 Lecture 15 Zeros of H(z) and the Frequency Domain 1-Mar-04 2/28/2004 ECE-2025 Spring-04 jMc 2 Info: Web-CT, Lab, HW ¡ Prob Set #7 due THIS WEEK in Recitation ¡ Solution will be posted after the Last Recitation ends at 3:00 pm on Thursday ¡ Quiz #2 on 5-March (Friday) ¡ Coverage: HW #4, #5, #6, and #7 ¡ One page of Hand-written notes ¡ Review Session: ECE Aud, Thurs (4-March, 7:30pm) ¡ Lab #7 will be due WEEK of 15-March ¡ No Lab on Wed or Thurs, 3 & 4 March ¡ Lab #8 will start on 15-March (Monday) 2/28/2004 ECE-2025 Spring-04 jMc 3 COURSE OBJECTIVE ¡ Students will be able to: ¡ Understand mathematical descriptions of signal processing algorithms and express those algorithms as computer implementations (MATLAB) Lecture 2/28/2004 ECE-2025 Spring-04 jMc 4 READING ASSIGNMENTS ¡ This Lecture: ¡ Chapter 7, Section 7-6 to end ¡ Other Reading: ¡ Recitation & Lab: Chapter 7 ¡ ZEROS (and POLES) ¡ Next Lecture:Chapter 9 2/28/2004 ECE-2025 Spring-04 jMc 5 LECTURE OBJECTIVES ¡ ZEROS and POLES ¡ Relate H(z) to FREQUENCY RESPONSE ¡ THREE DOMAINS: ¡ Show Relationship for FIR: ω ω ˆ ) ( ) ( ˆ j e z j z H e H = = ) ( ) ( ] [ ˆ ω j e H z H n h ↔ ↔ 2/28/2004 ECE-2025 Spring-04 jMc 6 DESIGN PROBLEM ¡ Example: ¡ Design a Lowpass FIR filter (Find b k ) ¡ Reject completely 0.7 π , 0.8 π , and 0.9 π ¡ This is NULLING ¡ Estimate the filter length needed to accomplish this task. How many b k ?...
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This note was uploaded on 09/14/2010 for the course ECE 2025 taught by Professor Juang during the Spring '08 term at Georgia Institute of Technology.

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2025-L15 - ECE-2025 Spring-2004 Lecture 15 Zeros of H(z)...

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