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Midterm Exam (Commun ication Systems) ÆÇ Semester, 2021 ; Prof. Don12;-Joon Shin

1. Derive the Fourier transfonn of the following functions. Write down the detailed steps (No point will

be given for the result only). Assume that X;(j) = FT{x;(t)} (5pts/each, total 20pts) (a) xi(t) = sine(/) = sin(1tt)/1tt (b) x2(t) = 1 (c) X3(t) = exp(;`21t/ct) (d) X4(t) = cos(2efit) cos(21tfit) wherefi `fi ` 0 andfi -fi ` 0. 2. Let s(t) = Acm1(t)cos(2efct+(`c) + Ad
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¸ñ·Ï 2021 Åë½Å½Ã½ºÅÛ Áß°£ ±âÃâ 1 2021 Åë½Å½Ã½ºÅÛ ±â¸» ±âÃâ 2

Midterm Exam (Commun ication Systems) ÆÇ Semester, 2021 ; Prof. Don12;-Joon Shin
1. Derive the Fourier transfonn of the following functions. Write down the detailed steps (No point will

be given for the result only). Assume that X;(j) = FT{x;(t)} (5pts/each, total 20pts) (a) xi(t) = sine(/) = sin(1tt)/1tt (b) x2(t) = 1 (c) X3(t) = exp(;`21t/ct) (d) X4(t) = cos(2efit) cos(21tfit) wherefi `fi ` 0 andfi -fi ` 0. 2. Let s(t) = Acm1(t)cos(2efct+(`c) + Ad



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