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homework6 - ECE164 Analog Integrated Circuitl Design ll Ian...

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Unformatted text preview: ECE164 Analog Integrated Circuitl Design ll Ian Galtonl Nonernberi E) 2005 EBUl 3802M Homeworld Assignment 6 Due: StOLl am, Thursday) Decemberi 1, M5 Problemsi L Be—sohnd thd problems on the second midterm examl 1 Consider the following amplifier circuit. You may assume that 1) all nMOS transistors are identical to each other, 2) all pMOS transistors are identical to each other, 3) al transistors are in saturation, 4) Rk, << rdsi for all i and k, and 5) the input signa frequencies are sufficiently low that all capacitances can be ignored. Wm Vim a Drain the differentialnnodd small—signa 1131mm oLthe amplifierl bl Derivd expressions for Adm andl Adm_cml (Hintl Fori large values of gmlrds A Adm shouldl approximatelfi dependl onlfi on R1 and R2)l 91 Draw the commortrnorld small—signa halfiircuitl oLthe amplifierl dl Derivd expressions for £1ij and Acm_dml eJ Does this circuit require a common—mode feedback circuit (i.e.l must the [1 and/Oil Ij current sources be maintained at precise values by feedback circuitrfi in orderi to keeg all the transistors irfl saturation)? Explain. 3. This problem relates to the following circuit. The voltage V03 is a bias voltagj generated by circuitry not shown in the figure. You may M and M are identical) that M41 and M5) are identical, and that the inpu‘d signal frequencies are sufficientlfl low that all capacitances can be ignoredl Fori Parts a)—e)l M mag assume that all transistors are irfl saturationl a) For this part assume that A = 0, that an : 3MP, tha W4/L4 : W5/L5 : 3W3/L3, and that VT —VTp. Calculate V04 as a functio of only V03, VTp, and VDD. Does @ depend upon and Explain. Qanl a differential—mode half—circuit be used to calculate AM and Adm_cm fori this circuitZ Explain youn reasoning, andl ifl your ansnrer is yes, draw the small—signal Calenlate Adm] andl Adm_cm fori this circuit. If applicablel dd notl neglectl the body effectonrdsi fonanmofthetransistorsl Qanl a common—mode half—circuitl be usedl td calculate flij and Acm_dmj for this circuitZ Explain youn reasoning, andl ifl your ansnrer is yes, draw the small—signal model oLthe cemmortmorle halfl circnitl Calenlate Aim and Acm_dm fori this circuitl If applicable, dd notl neglectl the body effect lei any oLthe transistors Does this circuitl require common—mode feedback (i.e.l dd the m bias voltages need td be preciselfl balanced using a feedback circuit td kete the transistors in saturation)? Explain. What major advantagd does this circuit offeri with respectl td a resistively loadedl difiemntialamplifierwhereimwandflareabsentandeachmsistorcnnnectsthe drainl ofeither M on % to V00 .1 ...
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homework6 - ECE164 Analog Integrated Circuitl Design ll Ian...

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