Lect_13 - ECE442 SolidStateDevices&Circuits...

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ECE 342–Jose Schutt Aine 1 ECE 442 Solid State Devices & Circuits 13. Advanced IC Techniques Part 1 Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jschutt@emlab.uiuc.edu
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ECE 342–Jose Schutt Aine 2 ( )( ) ( ) () ( ) 12 ... ... m Hm m sZ Fs a sPsP sP −− = Transfer Function Representation Z 1 , Z 2 ,…Z m are the zeros of the transfer function P 1 , P 2 ,…P m are the poles of the transfer function In general, the transfer function of an amplifier can be expressed as s is a complex number s = σ + j ω
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ECE 342–Jose Schutt Aine 3 Designer is interested in midband operation However needs to know upper 3 dB frequency In many cases some conditions are met: ¾ Zeros are infinity or at very high frequencies ¾ One of the poles ( ω P1 ) is at much lower frequency than other poles ( Î dominant pole) If the conditions are met then F H (s) can be approximated by: 1 1 1 ( ) and we have 1/ HH P P Fs s ≡≅ + () MH A sA F s 3dB Frequency Determination
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ECE 342–Jose Schutt Aine 4 If the lowest frequency pole is at least 4 times away from the nearest pole or zero, it is a dominant pole If there is no dominant pole, the 3 dB frequency ω H can be approximated by: 22 12 11 1/ ... 2 ... H PP ZZ ωω ⎛⎞ ≅+ + + + ⎜⎟ ⎝⎠ 3dB Frequency Determination
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5 ECE 342–Jose Schutt Aine High-Frequency Behavior - Example () ( ) 5 44 1/ 1 0 1 0 4 1 0 H s Fs ss ++ ×
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ECE 342–Jose Schutt Aine 6 2 12 2 1 ... () 1 ... n n H n n as as as Fs bs bs bs ++ + + = + The coefficients a and b are related to the frequencies of the zeros and poles respectively.
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Lect_13 - ECE442 SolidStateDevices&Circuits...

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