In physics and mathematics, the Quadrature phase of a periodic function of some real variable is an angle-like quantity representing the fraction of the cycle covered up to.
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In physics and mathematics, the Quadrature phase of a periodic function of some real variable is an angle-like quantity representing the fraction of the cycle covered up to.
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Usually, whole turns are ignored when expressing the Quadrature phase; so that is a periodic function, with the same period as, that repeatedly scans the same range of angles as goes through each period.
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Numeric value of the Quadrature phase depends on the arbitrary choice of the start of each period, and on the interval of angles that each period is to be mapped to.
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Term "Quadrature phase" is used when comparing a periodic function with a shifted version of it.
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The Quadrature phase is then the angle from the 12:00 position to the current position of the hand, at time, measured clockwise.
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Where is a "canonical" function of a Quadrature phase angle in 0 to 2p, that describes just one cycle of that waveform; and is a scaling factor for the amplitude.
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Thus, for example, the sum of Quadrature phase angles is 30°, and subtracting 50° from 30° gives a Quadrature phase of 340° (, plus one full turn).
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The Quadrature phase difference is then the angle between the two hands, measured clockwise.
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Arguments when the Quadrature phase difference is zero, the two signals will have the same sign and will be reinforcing each other.
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Real-world example of a sonic Quadrature phase difference occurs in the warble of a Native American flute.
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In time and frequency, the purpose of a Quadrature phase comparison is generally to determine the frequency offset with respect to a reference.
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