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03 74239 midterm - o v 2 M1 M1 M2 M2 C L VDD I SS V o V in...

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Name: ______________________________ SID: ______________________________ UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences Midterm EECS 240 B. E. BOSER March 18, 2003 SPRING 2003 Show derivations and mark results with box around them. Erase or cross-out erroneous attempts. Simplify algebraic results as much as possible . Mark your name and SID at the top of the exam and all extra sheets. 1. [20 points] Calculate the minimum value of I SS to meet specifications for , dB f 3 2 oT v , and V . Definitions: is the frequency at which the gain * 1 V * 2 dB f 3 in o v v drops by 3dB from it's value at DC; 2 oT v * 1 is the total noise integrated over all frequencies at the output, , of the amplifier; V and V are the bias points of M1, M1' and M2, M2', respectively. Assume all devices operate in saturation and ignore finite output resistance.
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Unformatted text preview: o v * 2 M1 M1' M2 M2' C L VDD I SS V o V in VSS 1 2. [20 points] The offset voltage V os of an amplifier is defined as the input required to satisfy V o =0. Calculate the variance of the offset voltage of the differential amplifier below as a function of TH V σ , R R / ∆ , I SS , and V*. Use the square-law approximation (i.e. V ) and assume infinite transistor output resistance. * V sat d = M1 M2 R 1 R 2 V o V in V DD I SS 2 3. [20 points] In the circuits below I D and I C are adjusted such the MDS (minimum detectable signal) due to thermal noise in the MOS and the BJT amplifiers are the same at low frequency. Calculate the ratio I D /I C for this condition. Your result should include only R s , V*, γ , T, and physical constants. Assume β Æ infinite. R s i s R s i s I D I C 3...
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