SPFirst-L16

# SPFirst-L16 - 2003 JH McClellan&amp;amp RW Schafer 1...

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Unformatted text preview: 8/22/2003 2003, JH McClellan &amp;amp; RW Schafer 1 Signal Processing First Lecture 16 IIR Filters: Feedback and H(z) 8/22/2003 2003, JH McClellan &amp;amp; RW Schafer 3 READING ASSIGNMENTS This Lecture: Chapter 8, Sects. 8-1, 8-2 &amp;amp; 8-3 Other Reading: Recitation: Ch. 8, Sects 8-1 thru 8-4 POLES &amp;amp; ZEROS Next Lecture: Chapter 8, Sects. 8-4 8-5 &amp;amp; 8-6 8/22/2003 2003, JH McClellan &amp;amp; RW Schafer 4 LECTURE OBJECTIVES Show how to compute the output y[n] FIRST-ORDER CASE (N=1) Z-transform: Impulse Response h[n] H(z) y [ n ] = a A y [ n A ] A = 1 N + b k x [ n k ] k = M INFINITE IMPULSE RESPONSE FILTERS Define IIR IIR DIGITAL Filters Have FEEDBACK FEEDBACK : use PREVIOUS OUTPUTS 8/22/2003 2003, JH McClellan &amp;amp; RW Schafer 5 THREE DOMAINS Z-TRANSFORM-DOMAIN POLYNOMIALS: H(z) FREQ-DOMAIN k j M k k j e b e H ) ( = = TIME-DOMAIN = = M k k k n x b n y ] [ ] [ } { k b 8/22/2003 2003, JH McClellan &amp;amp; RW Schafer 6 Quick Review: Delay by n d IMPULSE RESPONSE SYSTEM FUNCTION d n z z H = ) ( ] [ ] [ d n n x n y = FREQUENCY RESPONSE...
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SPFirst-L16 - 2003 JH McClellan&amp;amp RW Schafer 1...

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