Electronics and Communication Engineering - Signals and Systems

21.
A signal x(n) = sin(ω0n + φ) is the input to a linear time invariant system having a frequency response H(ejω) If the O/P of the system is Ax(n -n0), then the general form of H(e) will be
- n0ω0 + β for any arbitrary real β
- n0ω0 + 2pk for any arbitrary integer k
n0ω0 + 2pk for any arbitrary integer k
- n0ω0 + φ
Answer: Option
Explanation:

y(n) = A x(n - n0)

⇒ A sin (ω0(n - n0) + Φ)

⇒ A sin (ω0 n - n0ω0 + Φ) and ∠4 (ejω) is - n0ω0 + 2pk.


22.
Fourier transform of -jt f(t) is
G'(f)
2pG'(f)
-jf F(f)
Answer: Option
Explanation:

It is duality property of differentiation.


23.
A casual system having the transfer function is excited with 10 ∪(t). The time at which the output reaches 99% of its steady-state value is
2.7 sec
2.5 sec
2.3 sec
2.1 sec
Answer: Option
Explanation:

.


24.
For exponential function e-at the Laplace transform 1/(s - a)
True
False
Answer: Option
Explanation:

.


25.
Consider the sequence x[n] = [- 4 - j5 1 + J2 4]
[- 4 - J2.5 J2 4 - J2.5]
[- J2.5 1 J2.5]
[- J5 J2 0]
[- x 1 4]
Answer: Option
Explanation:

Conjugate ant-symmetric part