Exercises

If $g(t)=7e^{-2t-3}$ write out and simplify $($a$)g(2-t),($b$)g(jt)$

If $g(t)=x^2-4x+4$ write out and simplify $($a$)g(2),($b$)g(e^{j}t)$

Find the signal energy of these signals. $($a$)x(t)=u(t)-u(10-t),($b$)x(t)=$rect$(t)cos(2t)$

Find the average power of these signals. $($a$)x(t)=A,($b$)x(t)=$Acos$(2f_{0}t+)$

Answers:

$1($a$)7e^{2t-7}$

$($b$)7e^{-j2t-3}$

$2($a$)0$

$($b$)(e^{jt}-2{)}^2$

$3($a$)$

$($b$)\frac{1}{2}$

$4($a$)A^2$

$($b$)\frac{A^2}{2}$