GATE ECE 2013 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2013

MCQ (Single Correct Answer)

-0.3

Two system with impulse responses h₁(t) and h₂(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by

Product of h₁(t) and h₂(t).

Sum of h₁(t) and h₂(t).

Convolution of h₁(t) and h₂(t).

Subtraction of h₁(t) and h₂(t)

GATE ECE 2013

MCQ (Single Correct Answer)

-0.3

The impulse response of a system is h(t) = t u(t). For an input u(t - 1), the output is

$${{{t^2}} \over 2}u\left( t \right)$$

$${{t\left( {t - 1} \right)} \over 2}u\left( {t - 1} \right)$$

$${{{{\left( {t - 1} \right)}^2}} \over 2}u\left( {t - 1} \right)\,$$

$${{{t^2} - 1} \over 2}u\left( {t - 1} \right)$$

GATE ECE 2013

MCQ (Single Correct Answer)

-0.6

The impulse response of a continuous time system is given by $$h(t) = \delta (t - 1) + \delta (t - 3)$$. The value of the step response at t = 2 is

GATE ECE 2013

MCQ (Single Correct Answer)

-0.3

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is