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Sine wave information


Tracing the y component of a circle while going around the circle results in a sine wave (red). Tracing the x component results in a cosine wave (blue). Both waves are sinusoids of the same frequency but different phases.

A sine wave, sinusoidal wave, or sinusoid (symbol: ) is a periodic wave whose waveform (shape) is the trigonometric sine function. In mechanics, as a linear motion over time, this is simple harmonic motion; as rotation, it corresponds to uniform circular motion. Sine waves occur often in physics, including wind waves, sound waves, and light waves, such as monochromatic radiation. In engineering, signal processing, and mathematics, Fourier analysis decomposes general functions into a sum of sine waves of various frequencies, relative phases, and magnitudes.

When any two sine waves of the same frequency (but arbitrary phase) are linearly combined, the result is another sine wave of the same frequency; this property is unique among periodic waves. Conversely, if some phase is chosen as a zero reference, a sine wave of arbitrary phase can be written as the linear combination of two sine waves with phases of zero and a quarter cycle, the sine and cosine components, respectively.

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Sine wave

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A sine wave, sinusoidal wave, or sinusoid (symbol: ∿) is a periodic wave whose waveform (shape) is the trigonometric sine function. In mechanics, as a...

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Power inverter

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inverter may produce a square wave, sine wave, modified sine wave, pulsed sine wave, or near-sine pulse-width modulated wave (PWM) depending on circuit design...

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Rectifier

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rate of rise of the supply voltage on the rising edge of the incoming sine-wave, reduced by the resistance of the transformer windings. High ripple currents...

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Triangle wave

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is added to a sine wave creating a triangle 220 Hz wave Problems playing this file? See media help. A triangular wave or triangle wave is a non-sinusoidal...

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Square wave

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220 Hz square wave created by harmonics added every second over sine wave Problems playing this file? See media help. The ideal square wave contains only...

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Damping

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from the sine wave. A given sinusoidal waveform may be of intermediate phase, having both sine and cosine components. The term "damped sine wave" describes...

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Sawtooth wave

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function has the same phase as the sine function. While a square wave is constructed from only odd harmonics, a sawtooth wave's sound is harsh and clear and...

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Surfing on Sine Waves

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Surfing on Sine Waves is a studio album by the musician and producer Richard D. James under the alias Polygon Window. James is better known as Aphex Twin...

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Wave

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Longitudinal wave Periodic travelling wave Sine wave Square wave Standing wave Transverse wave Dyakonov surface wave Dyakonov–Voigt wave Earth–ionosphere...

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Continuous wave

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A continuous wave or continuous waveform (CW) is an electromagnetic wave of constant amplitude and frequency, typically a sine wave, that for mathematical...

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Root mean square

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pure sine wave, the relationships between amplitudes (peak-to-peak, peak) and RMS are fixed and known, as they are for any continuous periodic wave. However...

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Sine and cosine

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to complex numbers. The sine and cosine functions are commonly used to model periodic phenomena such as sound and light waves, the position and velocity...

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Ring modulation

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yield an output signal. One signal, called the carrier, is typically a sine wave or another simple waveform; the other signal is typically more complicated...

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Taekwondo

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Taekwondo. Among the refinements incorporated into this new sub-style is the "sine wave"; one of Choi Hong-hi's later principles of taekwondo is that the body's...

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Electronic oscillator

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oscillating or alternating current (AC) signal, usually a sine wave, square wave or a triangle wave, powered by a direct current (DC) source. Oscillators...

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Crest and trough

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minimum or lowest point in a cycle. When the crests and troughs of two sine waves of equal amplitude and frequency intersect or collide, while being in...

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Phasor

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analyzed to find voltages and currents by transforming all waveforms to sine wave components (using Fourier series) with magnitude and phase then analyzing...

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Particle velocity

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the particle displacement. The particle displacement of a progressive sine wave is given by δ ( r , t ) = δ m cos ⁡ ( k ⋅ r − ω t + φ δ , 0 ) , {\displaystyle...

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DBFS

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such that the RMS value of a full-scale sine wave is designated 0 dB FS. This means a full-scale square wave would have an RMS value of +3 dB FS. This...

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Waveform

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{\displaystyle a} is amplitude and ϕ {\displaystyle \phi } is phase: Sine wave: ( t , λ , a , ϕ ) = a sin ⁡ 2 π t − ϕ λ {\displaystyle (t,\lambda ,a...

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Musical tone

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waveform can be approximated as closely as desired as the sum of a series of sine waves with frequencies in a harmonic series and at specific phase relationships...

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Wavelength

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also common; see plane wave. The typical convention of using the cosine phase instead of the sine phase when describing a wave is based on the fact that...

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Electromagnetic pulse

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frequency band, leading to a characteristic damped sine wave. Visually it is shown as a high frequency sine wave growing and decaying within the longer-lived...

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Particle displacement

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is the particle velocity. The particle displacement of a progressive sine wave is given by δ ( r , t ) = δ sin ⁡ ( k ⋅ r − ω t + φ δ , 0 ) , {\displaystyle...

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Wave height

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visually the average wave height. Depending on context, wave height may be defined in different ways: For a sine wave, the wave height H is twice the...

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