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Zero-crossing rate

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The zero-crossing rate is the rate of sign-changes along a signal. This feature has been used heavily in both speech recognition and music information retrieval and is defined formally as

<math>zcr = \frac{1}{T} \sum_{t=0}^{T-1} {{\mathbb I}\left\{{s_t s_{t-1} < 0}\right\}}</math>

where <math>s</math> is a signal of length <math>T</math> and the indicator function <math>{{\mathbb I}\left\{{A}\right\}}</math> is 1 if its argument <math>A</math> is true and 0 otherwise.

For monophonic tonal signals, the zero-crossing rate can be used as a primitive pitch detection algorithm.

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