Electronics and Communication Engineering - Signals and Systems

11.
The function δ(t - b) is
an impulse function
a step function originating at t = b
an impulse function originating at t = b
none of the above
Answer: Option
Explanation:

δ(t) is an impulse at t = 0, δ(t - b) is in impulse originating at t = b.


12.
An ac network has a power factor of 0.8 lagging for fundamental frequency. If the applied voltage contains thrid and fifth harmonics, the overall power factor will be
more than 0.8 lagging
0.8 lagging
less than 0.8 lagging
0.8 lagging or less
Answer: Option
Explanation:

As frequency increases, XL decreases and power factor becomes worse.


13.
what will be sampling rate to aviod aliasing for the signal m(t) = 10 cos 100 pt?
≤ 100 n2
≥ 100 n2
Answer: Option
Explanation:

To avoid aliasing fs ≤ 2fm

.


14.
If Laplace transform of f(t) is F(s), then =
s F(s) - f(0-)
s F(s) + f(0-)
Answer: Option
Explanation:

£f(t) =

£-1F(s) = f(t)

£[a f1(t) + bf2(t)] = aF1(s) + bF2(s)

where

£[f(t - T)] = e-sT F(s)

£[e-at f(t)] = F(s + a)

Initial value theorem

Final value theroem

Convolution Integral

where t is dummy variable for t.


15.
Choose the function f(t), - ∞ < t < + ∞, for which a Fourier series cannot be defined
3 sin (25t)
4 cos (20t + 3) + 2 sin (10t)
exp - | t | sin 25 t
1
Answer: Option
Explanation:

Fourier series is applicable for periodic or finite duration signal and (c) is neither periodic nor finite duration signal.