SPFirst-L17

SPFirst-L17 - Signal Processing First READING ASSIGNMENTS...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Signal Processing First Lecture 17 IIR Filters: H(z) and Frequency Response 4/3/2006 3 READING ASSIGNMENTS ± This Lecture: ± ± Other Reading: ± Recitation: Chapter 8, all ± POLE-ZERO PLOTS 4/3/2006 4 LECTURE OBJECTIVES ± SYSTEM FUNCTION: H(z) ± H(z) has POLES and ZEROS ± FREQUENCY RESPONSE of IIR ± Get H(z) first ± THREE-DOMAIN APPROACH ω ˆ ) ( ) ( ˆ j e z j z H e H = = ) ( ) ( ] [ ˆ j e H z H n h 4/3/2006 5 THREE DOMAINS Z-TRANSFORM-DOMAIN POLYNOMIALS: H(z) FREQ-DOMAIN A A A 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 } , { k b a A Use H(z) to get Freq. Response z = e j ˆ ω
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4/3/2006 6 H(z) = z-Transform{ h[n] } ± FIRST-ORDER IIR FILTER: y [ n ] = a 1 y [ n 1] + b 0 x [ n ] H ( z ) = b 0 1 a 1 z 1 ] [ ) ( ] [ 1 0 n u a b n h n = 4/3/2006 7 Typical IMPULSE Response h [ n ] = b 0 ( a 1 ) n u [ n ] = 3(0.8) n u [ n ] 4/3/2006 8 First-Order Transform Pair ± GEOMETRIC SEQUENCE: h [ n ] = ba n u [ n ] H ( z ) = b 1 az 1 1 1 1 0 0 1 1 0 0 1 0 if 1 ) ( ) ( a z z a b z a b z a b z H n n n n n > = = = = = 4/3/2006
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/03/2010 for the course EE 48976 taught by Professor Nayak during the Spring '10 term at USC.

Page1 / 8

SPFirst-L17 - Signal Processing First READING ASSIGNMENTS...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online