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Karplus–Strong string synthesis
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== How it works == [[File:Karplus-strong-schematic.svg|center]] # A short excitation waveform (of length L samples) is generated. In the original algorithm, this was a burst of [[white noise]], but it can also include any [[wideband]] signal, such as a rapid [[sine wave]] [[chirp]] or frequency sweep, or a single cycle of a [[sawtooth wave]] or [[Square wave (waveform)|square wave]]. # This excitation is output and simultaneously fed back into a [[Analog delay line|delay line]] L samples long. # The output of the delay line is fed through a [[audio filter|filter]]. The [[Gain (electronics)|gain]] of the filter must be less than 1 at all frequencies, to maintain a stable [[positive feedback]] loop. The filter can be a first-order lowpass filter (as pictured). In the original algorithm, the filter consisted of averaging two adjacent samples, a particularly simple filter that can be implemented without a multiplier, requiring only shift and add operations. The filter characteristics are crucial in determining the harmonic structure of the decaying tone. # The filtered output is simultaneously mixed into the output and fed back into the delay line.
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