Date Assigned: Monday, September 3, 2007 Date Due: Wednesday, September 5, 2007
Reading:
Please
continue to study Chapter 1 in the Lathi text.
Pay special attention to the following:
what is a signal,
what is a system, continuous-time versus discrete-time,
and what does it mean for a system to be
linear, time-invariant, and causal.
Suppose you need to design a filter for a voltage signal
that has the form
v(t) = 0.05 cos(200 t) + 10 cos (20,000 t) volts
The signal component at frequency 200 rad/s is the desired signal,
while the component at 20,000 rad/s is an undesired interference signal.
The filter should pass the 200 rad/s component with near unity gain,
and the interference at 20,000 rad/s should be attenuated by the filter
so that its amplitude is at least 10 times smaller than the desired
signal amplitude. What order filter is required to achieve this?
Explain your reasoning.
(a) Specify a circuit that performs as a band-stop filter.
You do not have to analyze the cutoff frequency or do a full Bode
plot, but explain why it operates as a band-stop filter.
(b) For each filter given in
Problem 5 of Homework 3,
review the filter type (low-pass, high-pass, band-pass, or
band-stop) and
determine the filter order (first-order or second-order).