ECE 160
University Of California - Davis
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	 ECE 160Solution09. Modern Digital and Analog Communication Systems
- Exam (elaborations) • 257 pages • 2021
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2.1-1 Both ϕ(t) and w0(t) are periodic. 
The average power of ϕ(t) is Pg = T1 R0T ϕ2(t) dt = π1 R0π e-t/22 dt = 1-πe-π . 
The average power of w0(t) is Pg = T10 RoT0 wo2(t) dt = T10 R0T0 1 · dt = 1. 
2.1-2 
(a) Since x(t) is a real signal, Ex = R02 x2(t) dt. 
Solving for Fig. S2.1-2(a), we have 
Ex = R02(1)2 dt = 2, Ey = R01(1)2 dt + R12(-1)2 dt = 2 
Ex+y = R01(2)2 dt = 4, Ex-y = R12(2)2 dt = 4 
Therefore, Ex±y = Ex + Ey. 
Solving for Fig. S2.1-2(b), we have 
Ex = R0π(1)2 dt + Rπ2π(...
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