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Unformatted text preview: r all n by the expression
x/ [n] = cos(π )
and is plotted on the next page for n in [−3, 3]. (Note that cos( π ) = 0.5.)
3 Page 7 of 17 6.02 Fall 2012, Quiz 2 Figure 3: New input signal x/ [n].
This input is applied to the same system as before, namely the one with unit sample response
h[n] = δ [n] − δ [n − 1] + δ [n − 2] . 9. [6 points]: Determine the output y / [n] of the system for this new input, for n = 0, 1, 2, 3, 4, 5.
You only need show your computations for the ﬁrst three of these values. y /  = , y /  = , y /  = y /  = , y /  = , y /  = Page 8 of 17 6.02 Fall 2012, Quiz 2
Staying with the LTI system we have been considering, whose unit sample response is
h[·] = δ [n] − δ [n − 1] + δ [n − 2] , suppose some input signal xc [n] to this system produces an output of 0 for all time. In other words,
(h ∗ xc )[n] = 0
for all n. Consider now the composite system shown below, where the ﬁrst subsystem is a stable LTI
system with some unknown unit sample response h...
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This document was uploaded on 03/17/2014 for the course ELECTRICAL 6.02 at MIT.
- Fall '12