y(t) = x(t) + x(t-3) + 1/x(t+4) is the given system causal ?
Question
y(t) = x(t) + x(t-3) + 1/x(t+4) is the given system causal ?
Solution
To determine if a system is causal (also known as non-anticipative), it must meet the condition that the output at any time depends only on the present and past input, not on any future input.
Looking at the given system y(t) = x(t) + x(t-3) + 1/x(t+4), we can see that the output y(t) depends on a future input x(t+4).
Therefore, the system is not causal because it anticipates the future value of the input.
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