Sinusoidal signal equation

Gives the value of a sinusoidal signal at time t, given its amplitude and frequency. It is used to model alternating currents, sound and other periodic oscillations.

x(t) = A\sin(2 \pi f t)

What the symbols mean

instantaneous value of the signal at time t
amplitude of the signal (same unit as x)
frequency of the oscillation in hertz (\mathrm{Hz})
time in seconds (\mathrm{s})

About this formula

  • FieldEngineering
  • TopicWaves and signals
  • LevelHigh school
  • Also calledsine wave equation, sinusoidal wave formula, amplitude frequency sine function, harmonic signal equation, sine wave amplitude and frequency, time-domain sinusoid
  • SourceWikidata Q1074289

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