TEST BANK FOR Fundamentals of Digital Communication By Upamanyu Madhow
Chamberlian School of Nursing
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Exam (elaborations) TEST BANK FOR Fundamentals of Digital Communication By Upamanyu Madhow (Solution Manual)
- Exam (elaborations) • 223 pages • 2021
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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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