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ECEN 4827/5827 Analog IC Design Homework Set 8: Analysis of Frequency
Responses Using the N-Extra Element Theorem
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All students do the following problems:
1. [50 pts] Consider the circuit in Problem B.7 of Homework Set 7. Using the N-EET find the analytical expression for the transfer function A(s)=vo/vi in the form A(s) = A(0) (1 + b1 s + ...)/(1 + a1 s + ...). Using MATLAB (or any other suitable tool), plot the magnitude response of A(s) and find the -3dB bandwidth. Compare to the result obtained by ZVTC in Homework Set 7.
2. [50 pts] Consider the circuit in Problem B.8 of Homework Set 7. Using the N-EET find the analytical expression for the transfer function A(s)=vo/vi in the form A(s) = A(0) (1 + b1 s + ...)/(1 + a1 s + ...). Using MATLAB (or any other suitable tool), plot the magnitude response of A(s) and find the -3dB bandwidth. Compare to the result obtained by ZVTC in Homework Set 7.
3. [20 pts] Construct the amplifier of Problem B.8 using the devices available in the 0.35u process (use library 5827.lib from problem S1 in Homework Set 7). Using PSpice simulations, find the required values of the dc input voltage VIN, the bias voltage VBIAS, and the device width W of M1 and M2 (assuming L = 2u), such that: the dc value of the output voltage is VO = 2.5V, the low-frequency small-signal gain is A(0) = -10, and the ability to produce undistorted sinusoidal voltage at 1 MHz of peak-to-peak value equal to 1V. In constructing the netlist (or circuit diagram) for simulation, follow the approach in Problem S1 of Homework Set 7. Include CL=1pF in your simulations. Turn in the following values, as obtained by simulations:
DC voltage VIN, DC bias current I, DC bias voltage VBIAS, low-frequency small-signal gain A(0), bandwidth BW, and a plot of transient waveforms of vI(t) and vO(t) showing an undistorted sinusoidal output voltage of 1 V peak-to-peak amplitude at 1 MHz.