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# scipy.signal.gausspulse

`scipy.signal.``gausspulse`(t, fc=1000, bw=0.5, bwr=-6, tpr=-60, retquad=False, retenv=False)

  Return a Gaussian modulated sinusoid:

  > `exp(-a t^2) exp(1j*2*pi*fc*t).`

  If retquad is True, then return the real and imaginary parts (in-phase and quadrature). If retenv is True, then return the envelope (unmodulated signal). Otherwise, return the real part of the modulated sinusoid.

  Parameters: | t : ndarray or the string ‘cutoff’ Input array. fc : int, optional Center frequency (e.g. Hz). Default is 1000. bw : float, optional Fractional bandwidth in frequency domain of pulse (e.g. Hz). Default is 0.5. bwr : float, optional Reference level at which fractional bandwidth is calculated (dB). Default is -6. tpr : float, optional If t is ‘cutoff’, then the function returns the cutoff time for when the pulse amplitude falls below tpr (in dB). Default is -60. retquad : bool, optional If True, return the quadrature (imaginary) as well as the real part of the signal. Default is False. retenv : bool, optional If True, return the envelope of the signal. Default is False.
  Returns: | yI : ndarray Real part of signal. Always returned. yQ : ndarray Imaginary part of signal. Only returned if retquad is True. yenv : ndarray Envelope of signal. Only returned if retenv is True.

  See also

  `scipy.signal.morlet`

  Examples

  Plot real component, imaginary component, and envelope for a 5 Hz pulse, sampled at 100 Hz for 2 seconds:

      >>> from scipy import signal
      >>> import matplotlib.pyplot as plt
      >>> t = np.linspace(-1, 1, 2 * 100, endpoint=False)
      >>> i, q, e = signal.gausspulse(t, fc=5, retquad=True, retenv=True)
      >>> plt.plot(t, i, t, q, t, e, '--')

  (Source code)