SPFirst-L15

# SPFirst-L15 - 8/22/2003 2003, JH McClellan &amp;amp;amp; RW...

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Unformatted text preview: 8/22/2003 2003, JH McClellan &amp; RW Schafer 1 Signal Processing First Lecture 15 Zeros of H(z) and the Frequency Domain 8/22/2003 2003, JH McClellan &amp; RW Schafer 3 READING ASSIGNMENTS This Lecture: Chapter 7, Section 7-6 to end Other Reading: Recitation &amp; Lab: Chapter 7 ZEROS (and POLES) Next Lecture:Chapter 8 8/22/2003 2003, JH McClellan &amp; RW Schafer 4 LECTURE OBJECTIVES ZEROS and POLES Relate H(z) to FREQUENCY RESPONSE THREE DOMAINS: Show Relationship for FIR: ) ( ) ( j e z j z H e H = = ) ( ) ( ] [ j e H z H n h 8/22/2003 2003, JH McClellan &amp; RW Schafer 5 DESIGN PROBLEM Example: Design a Lowpass FIR filter (Find b k ) Reject completely 0.7 , 0.8 , and 0.9 This is NULLING Estimate the filter length needed to accomplish this task. How many b k ? Z POLYNOMIALS provide the TOOLS 8/22/2003 2003, JH McClellan &amp; RW Schafer 6 Z-Transform DEFINITION POLYNOMIAL Representation of LTI SYSTEM: EXAMPLE: = n n z n h z H ] [ ) ( APPLIES to Any SIGNAL POLYNOMIAL in z-1 4 3 2 1 2 3 2 ) ( + + + = z z z z z z H 4 2 2 3 2 + = z z 4 1 2 1 ) ( 2 ) ( 3 2 + = z z } 2 , , 3 , , 2 { ]} [ { = n h 8/22/2003 2003, JH McClellan &amp; RW Schafer...
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## This note was uploaded on 03/03/2010 for the course EE 48976 taught by Professor Nayak during the Spring '10 term at USC.

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SPFirst-L15 - 8/22/2003 2003, JH McClellan &amp;amp;amp; RW...

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