Question
Download Solution PDFThe exponential x(t) = e-at can be written as x(t) = e-at u(t) + e-at u(-t) where the first term represent the
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The impulse response is the output of a system when the input is an impulse, i.e.
The impulse response of a system can be used to evaluate various system properties. Causality is one such property, that states, “if the output of the system at any time depends only on the past and present values of the input, the system is said to be causal.”
If the impulse response is known, the system is said to be causal, if h(t) = 0 for t < 0.
Analysis:
x(t) = e-at u(t) + e-at u(-t)
Therefore, the first term is the causal part of the signal x(t).
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