Consider the following statements for a system given by $$y\left( n \right) = x\left( n \right)\sum\nolimits_{k = - \infty }^\infty {\delta \left( {n - 3k} \right)} .$$
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?
A. 1 only
B. 2 only
C. 2 and 4 only
D. 1 and 3 only
Answer: Option D
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

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