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Signal and systems miscellaneous

Signals and Systems

  1. System represented by equation
    y(t + 4) + 2y(t) = x(t + 2) is:
    (i) causal
    (ii) linear
    (iii) time invariant
    The correct statements are—
    1. (i) and (ii) only
    2. (ii) and (iii) only
    3. (i) and (iii) only
    4. All of these
Correct Option: D

Given equation y(t + 4) + 2y(t) = x(t + 2)
● is causal since output at any instant of time depends only on present and past values of there input signal.
● is linear since there is no constant term in the given equation.
● is time invariant since there is no any time factor in the given equation.
Hence, alternative (D) is the correct choice.



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