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(In Proakis & Salehi unless otherwise noted)
Probablility and Random Variables
Review Chapter 4 Read 5.1.
Do 4.4, 4.5, 4.20, 5.1, 5.2, 5.3, 5.5
Read 3.5, Review "Appendix 3A, page 156,
Read Chapter 4
Do 3-A (not in text), 4.1, 4.2
Hints on problem 4.1
--For part one you should leave the integral
unsolved. The "sine integral" is a tabulated
function with no known analytic solution. Just
show the integral in your solution.
Some details of the Sine Integral can be found here
A well known but heavy authority on topics like this is
the handbook by Abramowitz and Stegun. Available in
the John and Louise Hulst Library (you will see that this
handbook is literally heavy) or electronically. See
especially Section 5.2 if you like these details.
You should also pay attention to units. The
modulation index, is always dimensionless (e.g.
radians). The deviation constant, kf is usually in
Hz/V in our text.
--For part three, delete the word "content" from
the question. Since the frequency and phase
of the R.F. signal vary only slowly relative to
the carrier you can assume m(t) = 0 to find the
power and you will get the same result as if
m(t) were not zero.
--For part four use Carson's Rule.
Read 3.2.3, 3.2.4, 2.6, 3.4
Do 3.16, 3.17, 3.24
Read 3.1, 3.2, 3.3 but omit 3.2.3, 3.2.4
Do 3.1, 3.3, 3.5, 3.14
Hints on 3.3: Use a computer for plotting.
(Matlab or Mathcad for example.) You cannot
easily get an accurate enough plot by hand.
I Suggest letting A = 1 and fo = 5 Hz.
Review 2.2, 2.3, Read 2.5, 2.7, 2.8
Do 2.34.6, 2.46.4, 2.50
Review Sections 2.1, 2.2, Read 2.3
Do 2.34.4, 2.39.4, 2.26, 2.46.1
On Friday, 2/24 the due date was changed from 2/24 to
to 2/27 as per disscussion in class.
Read Section 2.1.5 and all of Section 2.2
Do 2.34.2, 2.34.3, 2.39.5, 2.39.11, 2.39.12
Optional: Make your own *.wav file (example)
Optional: Try out a java applet on aliasing.
Optoinal: You Tube on aliiasing
On Wednesday, 2/01, the due date on this assignment
was changed from 2/03 to 2/10 on account of the
"Big Tour" field trip.
Review Section 2.1.
Do 2.5, 2.6, 2.7, 2.24
Note errata on Problem 2.6.
Note: On Wednesday, 1/25 as per discussion in class,
Problem 2.34.3 was moved from this problem set to
the next.
Read Chapter 1, Chapter 2 Section 2.1
Do (page 105) 2.1.1, 2.1.3, 2.1.5, 2.1.7, 2.1.9
Use a Matlab script ("m-file") to make the plots.
Write the problem statement into the script as
a comment. Import the script and the plot into
a word processor file to control fomatting and
to print.
Note errata on page 31, and errata on page 43,
and errata on page 44.
Here is a sample answer you may copy for
Problem 2.1.1 (on page 105)
Read Chapter 1.
(There is nothing to turn in.)
Note errata on page 10