# qiskit.pulse.library.Sawtooth

qiskit.pulse.library.Sawtooth(duration, amp, phase, freq=None, angle=0.0, name=None, limit_amplitude=None)

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A sawtooth pulse.

The envelope of the pulse is given by:

$f(x) = 2\text{A}\left[g\left(x\right)- \lfloor g\left(x\right)+\frac{1}{2}\rfloor\right]$

where $\text{A} = \text{amp} \times\exp\left(i\times\text{angle}\right)$, $g\left(x\right)=x\times\text{freq}+\frac{\text{phase}}{2\pi}$, and $\lfloor ...\rfloor$ is the floor operation.

Parameters

• duration (int |ParameterExpression) – Pulse length in terms of the sampling period dt.
• amp (float |ParameterExpression) – The magnitude of the amplitude of the sawtooth wave. Wave range is [-amp,amp].
• phase (float |ParameterExpression) – The phase of the sawtooth wave (note that this is not equivalent to the angle of the complex amplitude)
• freq (float |ParameterExpression | None) – The frequency of the sawtooth wave, in terms of 1 over sampling period. If not provided defaults to a single cycle (i.e :math:’frac{1}{text{duration}}’). The frequency is limited to the range $\left(0,0.5\right]$ (the Nyquist frequency).
• angle (float |ParameterExpression | None) – The angle in radians of the complex phase factor uniformly scaling the pulse. Default value 0.
• name (str | None) – Display name for this pulse envelope.
• limit_amplitude (bool | None) – If True, then limit the amplitude of the waveform to 1. The default is True and the amplitude is constrained to 1.

Returns

ScalableSymbolicPulse instance.

Return type

ScalableSymbolicPulse