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Chirp rate is the instantaneous rate of change of the frequency of a waveform. If a waveform is defined as

<math>x(t)=\sin\left(\phi(t)\right)</math>

then the instantaneous frequency is defined to be

<math>f(t)=\frac{1}{2\pi} \frac{d\phi(t)}{dt}</math>

and the chirp rate is defined to be

<math>c(t)=\frac{1}{2\pi} \frac{d^2\phi(t)}{dt^2}</math>

.

See also Chirp.