EE3110 AEC4a_Active filter_2007

EE3110 AEC4a_Active filter_2007 - 4.7 Active Filters 4.7.1...

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Unformatted text preview: 4.7 Active Filters 4.7.1 Transfer function H(j ϖ ) Transfer function H(j ) ϖ V o V i ) ( ) ( ) ( ϖ ϖ ϖ j D j N V V j H i o = = At any one frequency : ) Im( ) Re( H j H H + = 2 2 ) Im( ) Re( H H H + = = ∠- ) Re( ) Im( tan 1 H H H ) Re( H + = ∠- ) Re( ) Im( tan 180 1 H H H o ) Re( ( H 4.7.2 Frequency transfer function of filter H(j ϖ ) (I) Low pass filter 1 ) ( = ϖ j H f f D ) ( = ϖ j H f f (II) High pass filter ) ( = ϖ j H f f D 1 ) ( = ϖ j H f f (III) Band pass filter 1 ) ( = ϖ j H H L f f f D D ) ( = ϖ j H H L f f f f , (IV) Band stop filter ) ( = ϖ j H H L f f f D D 1 ) ( = ϖ j H H L f f f f , (V) All pass filter 1 ) ( = ϖ j H for all f has a specific phase response 4.7.3 Passive single pole low pass filter v i v o R C i C C o V R X X V + = i i o V CR j V R C j C j V ϖ ϖ ϖ + = + = 1 1 1 1 1 1 ) ( ϖ ϖ ϖ j j H + = where RC o 1 = ϖ or ) ( ϖ ϖ + = s s H where ϖ j s = phase =- 1 tan ) ( ϖ ϖ ϖ φ 4.7.4 Active filters - largely biquadratic function filters. i.e. s cs d s as b 2 2 + + + + and realised by, (I) Positive feedback (II) Negative feedback (III) State variable 4.7.5 Biquadratic function filters (I) H s K s cs d s as b K s Q s s Q s Z Z Z P P P ( ) = + + + + = + + + + 2 2 2 2 2 2 ϖ ϖ ϖ ϖ (II) L.P....
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This note was uploaded on 01/11/2011 for the course EE 3110 taught by Professor Wingshingchan during the Fall '08 term at City University of Hong Kong.

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EE3110 AEC4a_Active filter_2007 - 4.7 Active Filters 4.7.1...

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