Signals Archives - DSP LOG

GATE-2012 ECE Q34 (signals)

Question 34 on signals from GATE (Graduate Aptitude Test in Engineering) 2012 Electronics and Communication Engineering paper.

Q34. Consider the differential equation

${\frac{d^2y(t)}{dt}+2\frac{dy(t)}{dt}+y(t) = \delta(t)}$ with ${y(t)|}_{t=0^{-}}=-2$ and ${\frac{dy}{dt}\|_{t=0^{-}}=0}$

The numerical value of

${\frac{dy}{dt}|}_{t=0^{+}}$ is

(A) -2

(B) -1

(C) 0

(D) 1

Continue reading “GATE-2012 ECE Q34 (signals)”

GATE-2012 ECE Q11 (signals)

Question 11 on signals from GATE (Graduate Aptitude Test in Engineering) 2012 Electronics and Communication Engineering paper.

Q11. The unilateral Laplace transform of ${f(t)}$ is ${\frac{1}{s^2+s+1}}$ . The unilateral Laplace transform of ${tf(t)}$ is

(A) ${-\frac{s}{(s^2+s+1)^2}}$

(B) ${-\frac{2s+1}{(s^2+s+1)^2}$

(C) ${\frac{s}{(s^2+s+1)^2}}$

(D) ${\frac{2s+1}{(s^2+s+1)^2}$

More...

Continue reading