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Distortion
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==Correction of distortion== As the system output is given by y(t) = F(x(t)), then if the inverse function F<sup>−1</sup> can be found, and used intentionally to distort either the input or the output of the system, then the distortion is corrected. An example of a similar correction is where LP/[[gramophone record|vinyl]] recordings or [[FM broadcasting|FM audio]] transmissions are deliberately pre-emphasised by a [[linear filter]], the reproducing system applies an inverse filter to make the overall system undistorted. Correction is not possible if the inverse does not exist—for instance if the [[transfer function]] has flat spots (the inverse would map multiple input points to a single output point). This produces an uncorrectable loss of information. Such a situation can occur when an amplifier is overdriven—causing [[clipping (audio)|clipping]] or [[slew rate]] distortion when, for a moment, the amplifier characteristics alone and not the input signal determine the output. ===Cancellation of even-order harmonic distortion=== Many symmetrical [[electronic circuits]] reduce the magnitude of even harmonics generated by the non-linearities of the amplifier's components, by combining two signals from opposite halves of the circuit where distortion components that are roughly the same magnitude but out of phase. Examples include [[Push–pull output|push-pull amplifiers]] and [[long-tailed pair]]s.
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