As discussed in the course policies, all prelaboratory
assignments are individual assignments; they are
NOT to be submitted by a group. You may discuss the
assignment with other classmates, but the work you turn in to me
should be your own and reflect your personal
comprehension of the laboratory material. Do NOT
split prelab work up among several people; each student should
complete the prelaboratory assignment in its entirety and should
provide a unique submission to me at the beginning of the
class.
INDIVIDUAL prelaboratory assignment (out of 100
points): (due from each student at the beginning of
class)

(25 points) Complete part (1.1) of the
laboratory exercises. Show your work! Some
hints:
 Remember that the sdomain impedance of:
 a resistor with resistance R is
R
 an inductor with inductance L is s
L
 a capacitor with capacitance C is 1/(s
C)
 Recall how to find the output of a voltage
divider.

(25 points) Complete part (1.2) of the
laboratory exercises. Submit your MATLAB
code! Some hints:
 See the somewhat outdated
Appendix at the end of the laboratory
exercises.
 Given a MATLAB
LTI system formed by h = tf(A,B),
both step(A,B) and step(h) do the same
thing.
 Similarly, freqs(A,B) is very similar to
bode(A,B) or bode(h).
 Grids can be turned on with grid on and turned
off with grid off.
 The more uptodate MATLAB examples on the
lab 5
section of the course web page may be helpful.

(25 points) Complete part (2.1) of the
laboratory exercises. Show your work! Some
hints:
 The circuit is a Sallen–Key
filter.
 The operational amplifier is in a negative
feedback configuration, and so the
V_{o} output signal tied to
the inverting (i.e., "") input will match the
signal at the noninverting (i.e., "+") input.
Any other effects of the operational amplifier can be
ignored.
 Setup node voltage
equations at the two unnamed nodes, and substitute one
equation into the other to solve for
V_{o}(s)/V_{in}(s).
 (25 points) Complete part (2.2) of the
laboratory exercises. Submit your MATLAB
code!
 BONUS (5 points): Rederive the transfer
function from part (2.1) for the generic filter topology. That
is, replace the passive components with generic
Z_{1}, Z_{2},
Z_{3}, and Z_{4} impedances and
derive the transfer function. Show your work!

BONUS (5 points): As with laboratory reports, a
prelaboratory assignment submission generated with any flavor of
TeX (e.g., LaTeX)
will earn the author 5% extra credit on that
assignment.
We will discuss the solutions in class.