1. UCSD CSE 245 Notes – SPRING 2006 Homework 2 (Due May 9) 1. For the circuit shown at right, suppose that the inputs are impulse function and R1=R2=R3=1k , C1=C2=1fF. Derive the first four moments m 0, m 1, m 2, m 3 of V c1. Show the circuits used for moment calculation.

2. UCSD CSE 245 Notes – SPRING 2006 2. For the circuit shown in previous slide use Pade Approximation to derive the transfer function H(s).

3. UCSD CSE 245 Notes – SPRING 2006 3. Prove that the reduced circuit in SPRIM matches the first 2q moments of the original circuit.

4. UCSD CSE 245 Notes – SPRING 2006 4. Draw figures to illustrate that conjugate gradient method takes at most 3 iterations to converge for a 3 dimensional case.