SINE WAVE

Acoustics / Electroacoustics A sinusoidal wave or function, that is, one moving in SIMPLE HARMONIC MOTION according to the function

A sin (2pft) where

Ais the AMPLITUDE of the wave,fits FREQUENCY, andtis time.According to the FOURIER THEOREM, any periodic WAVEFORM may be analyzed as the sum of a series of sine waves with frequencies in a HARMONIC SERIES, each of which has an amplitude and phase angle given by the Fourier coefficients. Since a sine wave has only a single frequency associated with it, it may be considered the simplest sound.

See: FOURIER ANALYSIS, FOURIER SYNTHESIS, GRANULAR SYNTHESIS, LAW OF SUPERPOSITION, SIMPLE TONE, SINE TONE, SOUND SYNTHESIS.

Two CYCLEs of a sine wave showing the amplitude of the pressure variation.Sound Example: Sine wave at 100 Hz.

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