ECE MISC
Michigan State University
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Exam (elaborations)
ECE MISC[Solutions Manual] Modern Digital and Analog Communications Systems - B P Lathi.
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---155September 20212021/2022A+
- 4 r 4 r 4 r 
(e) ~ ~ - ~ ~ s i n ~ r d r = f ~ ~ d t - ~ / ~ ~ s ~ ~ d t = n + O = ~ 
2n 
(d) E. =1 (lsin t12 dt = 4 [i12" dt -; 2 dt] = Iln + 01 = 4n 
Sign change and time shift do not affect the signal energy. Doubling the signal quadr~iplesits energy. In the 
same way we can sllow that the energy of kp(t) is k2&. 
Sirnilally. we can show that E x - , = 4n Therefore Ex*, = E:, + E,. Mre are tempted to conclude thar C,*, = 
E, - t', in general. Let us see. 
Therefore. in general Eli,# El $ E,...
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