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ECE 381: Laboratory 1 |
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Analog Signals: Operations, periodicity, energy, and power |
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Useful signal processing routines for this assignment include inline.
1. Write a Matlab script that (a) obtains the even
and odd parts of figure P1.1-2 (Figure d) of Problem 1.1-1 and P1.2-2 of
Problem 1.2-2, and (b) plot them against the original signals in a 2-by-2
arrangement of subplots. Each row is to depict an original signal, and its even
and odd parts in that order. E.g.,
Tip 1: For better visualization of finite-duration signals
in your plots, make sure that their sampled representation spans an interval
larger than the actual signal duration.
Tip 2: Also make sure that the x-/y-axis ranges are adjusted so that the
signal form is clearly depicted (neither too small in its window, nor too large
to have entire edges coincide with and lost in the window boundary). Check out
the axis routine for that.
Tip 3: You can also annotate each subplot with the signal energy. To do
so, you can use the text or gtext commands, or you can do it interactively through the
Insert menu on the figure window.
2.
Let s(t) =
sin(πt) Use Matlab to sketch each
of the following signals over the range -2 ≤ t≤6 using a small time step (say, 0.02 s). Have your script also compute
the signal power.
(a) x(t) = u[s(t)] (b) f(t) = r[s(t)] (c) h(t) = e s(t)
Present your results, i.e., compose the four sketches, in a convenient manner as in Exercise 1 above. One figure of a 2-by-2 subplot arrangement, or two figures of 2-by-1 arrangement each, it is up to you. Likewise for titles, axes labels, annotations, etc. The same applies to Exercise 3 that follows.
3.
Let x(t) =
2u(t+1) – r(t + 1) + r(t – 1).
Use Matlab to plot the signals x(t), y(t) = x(2t-1), and f(t) = x(1-2t). Have your script also compute the signal energy for
all three. Do the signal energies of
For each of the above exercises, turn in all Matlab scripts, plots, and explanations and comments. In this assignment and all others, unless explicitly asked otherwise, you can include your explanations as comment lines at the very end of your scripts. In all cases, your scripts must contain leading comment lines identifying you and the particular assignment/exercise they are written for. Please do NOT write your student ID number there.
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School of Computing and Engineering |
Last updated: January 21, 2006 |