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Define periodic and non-periodic signals
Short answer
A periodic signal repeats with period T (e.g., sin(ωt)), whereas a non-periodic signal does not repeat after any fixed interval (e.g., a single pulse or e⁻ᵗu(t)).
Define periodic and non-periodic signals with examples.
Periodic signal: a signal that repeats itself at regular intervals, that is x(t) = x(t + T₀) for all t, where the smallest positive T₀ is the fundamental period. Examples: sin(ωt), a square wave, the mains supply.
Non-periodic (aperiodic) signal: a signal that does not repeat after any fixed time interval. Examples: a single rectangular pulse, e^(-t)u(t), speech, a unit step.
A sum of two sinusoids is periodic only if the ratio of their periods (T₁/T₂) is a rational number.
✓ Answer checked by Claude Opus 5.5 (high effort)
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