# final - Name SID UNIVERSITY OF CALIFORNIA College of...

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1 UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences Final Exam EECS 240 B. E. BOSER May 19, 2004 SPRING 2004 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. Derive an analytical expression for the variance of the thermal noise at the output V o of the circuit below. State your result as a function of R L , g m1 , γ 1 , and k B T. For simplicity, you may ignore the finite output resistance of the transistor and all capacitors except C L . M1 g m1 R L C L V o I s Name: ______________________________ SID: ______________________________

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2 2. Derive an expression for the low-frequency differential-mode input referred thermal noise density f v n id 2 , of the circuit below. State your result in terms of the V* of individual transistors (devices with identical index, e.g. M1a and M1b, have the same V*), I bias , and k B T. For simplicity you may assume that the output resistance of all
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final - Name SID UNIVERSITY OF CALIFORNIA College of...

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