lecture 19

# lecture 19 - 1 1 Summary of Lecture#19 • LP HP BP and BR...

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

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 1 Summary of Lecture #19 10/06/2010 • LP, HP, BP and BR filters • Normalized circuits or prototype circuits • 1 Ω ΩΩ and 1 rad/s • Magnitude scaling • How and its effect • Examples • Frequency scaling • How and its effect • Examples • Brief discussion leading to convolution integral • Flip, shift, multiply and integrate ∫ ∫ ∞ ∞- ∞ ∞- τ τ- τ = τ τ τ- = = d ) t ( h ) ( f d ) ( h ) t ( f ) t ( h ) t ( f ) t ( y HW #7, HW #7 Examples of low pass pass filters Roll off rate:- 20 dB/decade (first order)- 40 dB/decade (2nd order) RCs 1 1 ) s ( H + = 1 RCs 3 ) RCs ( 1 ) s ( H 2 + + = Pass band Stop band ϖ p or f p : pass band edge freq. ϖ s or f s : stop band edge freq. Roll off rate 3 First order LP filter 1 s 01 . 1 ) s ( H + =- 20dB/dec. R = 1 Ω C = 0.01 F 4 Second order LP filter 1 s 003 . s 0001 . 1 ) s ( H 2 + + =- 40 dB/dec. R = 1 Ω C = 0.01 F 5 Examples of high pass filters Roll off rate: +20 dB/decade (first order) + 40 dB/decade (2nd order) ) L / R ( s s ) s ( H + = 2 2 2 ) L R ( s L R 3 s s ) s ( H + + = Stop band Pass band High pass filters ϖ p or f p : pass band edge freq. ϖ s or f s : stop band edge freq. Roll off rate 6 First order HP filter s H(s) s 100 = + 20 dB/dec. R = 1 Ω L = 0.01 H 2 7 Second order HP filter 4 2 2 10 s 300 s s ) s ( H + + = +40 dB/dec. R = 1 Ω L = 0.01 H 8 Examples of band pass filters 1 RCs LCs RCs ) s ( H 2 + + = Pass band edge freq.: ϖ p1 ( or f p1 ) and ϖ p2 ( or f p2 ) 9 Second order band pass filter 100 s 10 s s 10 ) s ( H 2 + + = R = 1 Ω C = 0.1 F L = 0.1 H 10 Examples of band rejection filters 1 Cs ) R R ( LCs 1 Cs R LCs ) s ( H 2 1 2 2 2 + + + + + = Stop band edge freq : ϖ s1 ( or f s1 ) and ϖ s2 ( or f s2 ) 11 Second order band rejection filter...
View Full Document

## This document was uploaded on 01/13/2012.

### Page1 / 4

lecture 19 - 1 1 Summary of Lecture#19 • LP HP BP and BR...

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

View Full Document
Ask a homework question - tutors are online