An LTI system having transfer function $$\frac{{{s^2} + 1}}{{{s^2} + 2s + 1}}$$ and input x(t) = sin(t + 1) is in steady state. The output is sampled at a rate ωs rad/s to obtain the final output {y(k)}. Which of the following is true?
A. y is zero for all sampling frequencies ωs
B. y is nonzero for all sampling frequencies ωs
C. y is nonzero for ωs > 2 but zero for ωs < 2
D. y is zero for ωs > 2 but nonzero for ωs < 2
Answer: Option A
Related Questions on Signal Processing
The Fourier transform of a real valued time signal has
A. Odd symmetry
B. Even symmetry
C. Conjugate symmetry
D. No symmetry
A. $$V$$
B. $${{{T_1} - {T_2}} \over T}V$$
C. $${V \over {\sqrt 2 }}$$
D. $${{{T_1}} \over {{T_2}}}V$$
A. $$T = \sqrt 2 {T_s}$$
B. T = 1.2Ts
C. Always
D. Never
A. $${{\alpha - \beta } \over {\alpha + \beta }}$$
B. $${{\alpha \beta } \over {\alpha + \beta }}$$
C. α
D. β

Join The Discussion