Signal Processing - Study Mode
[#306] Let h(t) denote the impulse response of a causal system with transfer function $$frac{1}{{{ ext{s}} + 1}}.$$ xa0Consider the following three statements: S 1 : The system is stable. S 2 : $$frac{{{ ext{h}}left( {{ ext{t}} + 1}
ight)}}{{{ ext{h}}left( { ext{t}}
ight)}}$$ xa0is independent of t for t > 0. S 3 : A non-causal system with the same transfer function is stable. For the above system,
Correct Answer
(A) only S 1 and S 2 are true
[#307] FIR filter having anti-symmetrical impulse response with even filter order can be used to design
Correct Answer
(D) differentiator and Hilbert transformer
[#308] Consider the following statements for a system given by $$yleft( n
ight) = xleft( n
ight)sum
olimits_{k = - infty }^infty {delta left( {n - 3k}
ight)} .$$ 1. The system is linear. 2. The system is non-linear. 3. The system is causal. 4. The system is non-causal. Which of the above statements is/are correct?
Correct Answer
(D) 1 and 3 only
[#309] The Fourier transform of Acos Ω 0 t is given by
Correct Answer
(A) Aπ[δ(Ω - Ω 0 ) + δ(Ω + Ω 0 )]
[#310] Consider an LTI system representing a passive electrical network. If the input is a sinusoidal signal, then the steady-state output of the network is
Correct Answer
(B) sinusoidal with the same frequency, but possibly different amplitude and phase