Signal Processing - Study Mode

[#1] The output y(t) of a continues-time system S for the input x(t) is given by? $$yleft( t
ight) = intlimits_{ - infty }^t x left( lambda
ight)dlambda $$ Which one of the following is correct?
Correct Answer

(A) S is linear and time-invariant

[#2] Fourier transform of te -at u(t), (Where, a > 0, u(t) is the Unit step function) is
Correct Answer

(B) $$frac{1}{{{{left( {a + j2pi f} ight)}^2}}}$$

[#3] The transfer function of a zero-order hold is
Correct Answer

(A) $$frac{{1 - exp left( { - { ext{Ts}}} ight)}}{{ ext{s}}}$$
(E) $${{1 - exp left( { - {T_s}} ight)} over s}$$

[#4] A random variable z, has a probability density function f(z), where f(z) = e -z 0 ≤ z ≤ ∞, the probability of 0 ≤ z ≤ 2 will be approximately
Correct Answer

(D) 0.865

[#5] A signal m(t) band-limited to 3 kHz is sampled at a rate $$33frac{1}{3}\% $$ xa0higher than the Nyquist rate. The maximum acceptable error in the sample amplitude is 0.5% of the peak amplitude m p . The quantized samples are binary coded, then the minimum bandwidth of a channel required to transmit the encoded binary signal will be:
Correct Answer

(D) 32 kHz