TEST BANK FOR Principles of Communication Systems,
Maastricht University (UM)
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Exam (elaborations) TEST BANK FOR Principles of Communication Systems,
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---330February 20222021/2022A+
- Exam (elaborations) TEST BANK FOR Principles of Communication Systems, 
For the single-sided spectra, write the signal in terms of cosines: 
x(t) = 10 cos(4πt + π/8) + 6 sin(8πt + 3π/4) 
= 10 cos(4πt + π/8) + 6 cos(8πt + 3π/4 − π/2) 
= 10 cos(4πt + π/8) + 6 cos(8πt + π/4) 
For the double-sided spectra, write the signal in terms of complex exponentials using Euler’s 
theorem: 
x(t) = 5 exp[(4πt + π/8)] + 5 exp[−j(4πt + π/8)] 
+3 exp[j(8πt + 3π/4)] + 3 exp[−j(8πt + 3π...
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