TEST BANK FOR Fundamentals of Digital Communication By Upamanyu Madhow
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Exam (elaborations) TEST BANK FOR Fundamentals of Digital Communication By Upamanyu Madhow (Solution Manual)
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Problem 2.1: Rather than doing the details of the convolution, we simply sketch the shapes of
the waveforms. For a signal s = sc + jss and a filter h = hc + jhs, the convolution
y = s ∗ h = (sc ∗ hc − ss ∗ hs) + j(sc ∗ hs + ss ∗ hc)
For h(t) = smf (t) = s(−t), rough sketches of Re(y), Im(y) and |y| are shown in Figure 1.
Clearly, the maximum occurs at t = 0.
=
c*hc −ss*hs
Re(s* h)
sc*hs ss*hc Im(s* h)
|s* h|
+ =
+
s
Figure 1: The convolution of a signal with its mat...
Exam (elaborations)
Exam (elaborations) TEST BANK FOR Fundamentals of Digital Communication By Upamanyu Madhow (Solution Manual)
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Problem 2.1: Rather than doing the details of the convolution, we simply sketch the shapes of the waveforms. For a signal s = sc + jss and a filter h = hc + jhs, the convolution y = s ∗ h = (sc ∗ hc − ss ∗ hs) + j(sc ∗ hs + ss ∗ hc) For h(t) = smf (t) = s(−t), rough sketches of Re(y), Im(y) and |y| are shown in Figure 1. Clearly, the maximum occurs at t = 0. = c*hc −ss*hs Re(s* h) sc*hs ss*hc Im(s* h) |s* h| + = + s Figure 1: The convolution of a signal with its mat...
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