Discussion
Identify whether the given statements are true or false.
1. Amplitude of antisymmetric signal is always zero at origin.
2. For the discrete time signal, the condition for periodicity is \(x(n) = x(n + N)\).
Answer: A
Both statements are true. An antisymmetric (odd) signal satisfies \(x(-t) = -x(t)\); putting \(t = 0\) gives \(x(0) = -x(0)\), so \(x(0) = 0\), which means its amplitude is zero at the origin. For a discrete time signal, periodicity means that there is a smallest positive integer \(N\) with \(x(n) = x(n + N)\) for all \(n\), which is the usual definition.
So the pair true and true is correct, and the options calling either statement false are wrong. The answer is option A.
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