Consider a signal defined by x(t)={\{ able e^{j 10 t} , \; ext " for "\;{|t|} ≤ 1 ; 0 , \; ext " for "\;{|t|}1}.Its Fourier Transform is

Question

Consider a signal defined by x(t)={\{	able e^{j 10 t} , \;	ext " for "\;{|t|} ≤ 1 ; 0 , \;	ext " for "\;{|t|}>1}.Its Fourier Transform is

Examsnet · Accepted Answer

Correct Answer is : ‌2 sin‌⁡‌(ω‌−10)‌ω‌−10

ej10t	‌ for ‌\|t\|≤1
0	‌ for ‌\|t\|>1

GATE Electrical Engineering (EE) 2015 Shift 2 Solved Paper