Sine wave
A sine wave or sinusoid is a waveform whose graph is identical to the generalized sine function ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
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~ ~ ~ ~ ~ ~ ~ ~ ~ ~ :y = Asin + C ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ where A is the amplitude, ω is the angular frequency (2π/P where P is the wavelength), α is the phase shift, and C is the vertical offset. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ This wave pattern occurs often in nature, including in ocean waves, sound waves, and light waves. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ A cosine wave is also said to be sinusoidal, since it has the same shape but is shifted slightly behind the sine wave on the horizontal axis: cos{(x -rac{pi}{2})} = sin{x} ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Any non-sinusoidal waveforms, such as square waves or even the irregular sound waves made by human speech, are actually a collection of sinusoidal waves of different periods and frequencies blended together. The technique of transforming a complex waveform into its sinusoidal components is called Fourier analysis. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ The human ear can recognize single sine waves because they sound "clean" or "clear" to us; some sounds that approximate a pure sine wave are whistling, a crystal glass set to vibrate by running a wet finger around its rim, and the sound made by a tuning fork. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ To the human ear, a sound that is made up of more than one sine wave will either sound "noisy" or will have detectable harmonics. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Waveform: Waveform quite literally means the shape and form of a signal, such as a wave moving across the surface of water, or the vibration of a plucked string.... Graph: Graph may refer to:... Sine: REDIRECT Trigonometric functions#Sine... Sine wave related Images and Photos (experimental)
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~ Related Subjects ~Wave (2) - Frequencies (1) - Period (1) - Square wave (1) - Speech (1) - Fourier analysis (1) - Tuning fork (1) - Signal (1) - Crystal glass (1) - Ear (1) - Whistling (1) - Non-sinusoidal (1) - Amplitude (1) - Angular frequency (1) - Sine (1) -~ Community ~
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