Signal Processing - Practice Test

[#156] The ACF of a rectangular pulse of duration T is

(A) A rectangular pulse of duration T

(B) A rectangular pulse of duration 2T

(C) A triangular pulse of duration T

(D) A triangular pulse of duration 2T

Correct Answer

(D) A triangular pulse of duration 2T

[#157] Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is [xrightarrow{{Uleft( s
ight)}}x08oxed{frac{1}{s}}xrightarrow{{Yleft( s
ight)}}]

(A) u(t)

(B) tu(t)

(C) $$frac{{{t^2}}}{2}uleft( t ight)$$

(D) e -t u(t)

Correct Answer

(B) tu(t)

[#158] A 1.0 kHz signal is flat-top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular LPF with cut-off frequency of 1100 Hz, then the output of the filter contains

(A) Only 800 Hz component

(B) 800 Hz and 900 Hz components

(C) 800 Hz and 1000 Hz components

(D) 800 Hz, 900 Hz and 1000 Hz components

Correct Answer

(B) 800 Hz and 900 Hz components

[#159] The input and output of a continuous time system are respectively denoted by x(t) and y(t). Which of the following descriptions corresponds to a casual system?

(A) y(t) = x(t - 2) + x(t + 4)

(B) y(t) = (t - 4)x(t + 1)

(C) y(t) = (t + 4)x(t - 1)

(D) y(t) = (t + 5)x(t + 5)

Correct Answer

(C) y(t) = (t + 4)x(t - 1)

[#160] The impulse response of a continuous time system is given by h(t) = δ(t - 1) + δ(t - 3). The value of the step response at t = 2 is

(A) 0

(B) 1

(C) 2

(D) 3

(E) 0

(F) 1

(G) 2

(H) 3

Correct Answer

(B) 1
(F) 1

Signal Processing - Study Mode

[#156] The ACF of a rectangular pulse of duration T is

Correct Answer

[#157] Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is [xrightarrow{{Uleft( s ight)}}x08oxed{frac{1}{s}}xrightarrow{{Yleft( s ight)}}]

Correct Answer

[#158] A 1.0 kHz signal is flat-top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular LPF with cut-off frequency of 1100 Hz, then the output of the filter contains

Correct Answer

[#159] The input and output of a continuous time system are respectively denoted by x(t) and y(t). Which of the following descriptions corresponds to a casual system?

Correct Answer

[#160] The impulse response of a continuous time system is given by h(t) = δ(t - 1) + δ(t - 3). The value of the step response at t = 2 is

Correct Answer

[#157] Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is [xrightarrow{{Uleft( s
ight)}}x08oxed{frac{1}{s}}xrightarrow{{Yleft( s
ight)}}]