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# scipy.signal.sweep_poly

`scipy.signal.``sweep_poly`(t, poly, phi=0)

  Frequency-swept cosine generator, with a time-dependent frequency.

  This function generates a sinusoidal function whose instantaneous frequency varies with time. The frequency at time t is given by the polynomial poly.

  Parameters : | t : ndarray Times at which to evaluate the waveform. poly : 1-D array-like or instance of numpy.poly1d The desired frequency expressed as a polynomial. If poly is a list or ndarray of length n, then the elements of poly are the coefficients of the polynomial, and the instantaneous frequency is `f(t) = poly[0]*t**(n-1) + poly[1]*t**(n-2) + ... + poly[n-1]` If poly is an instance of numpy.poly1d, then the instantaneous frequency is `f(t) = poly(t)` phi : float, optional Phase offset, in degrees, Default: 0.
  Returns : | sweep_poly : ndarray A numpy array containing the signal evaluated at t with the requested time-varying frequency. More precisely, the function returns `cos(phase + (pi/180)*phi)`, where phase is the integral (from 0 to t) of `2 * pi * f(t)`; `f(t)` is defined above.

  See also

  `chirp`

  Notes

  New in version 0.8.0.

  If poly is a list or ndarray of length n, then the elements of poly are the coefficients of the polynomial, and the instantaneous frequency is:

  > `f(t) = poly[0]*t**(n-1) + poly[1]*t**(n-2) + ... + poly[n-1]`

  If poly is an instance of `numpy.poly1d`, then the instantaneous frequency is:

  > `f(t) = poly(t)`

  Finally, the output `s` is:

  > `cos(phase + (pi/180)*phi)`

  where phase is the integral from 0 to t of `2 * pi * f(t)`, `f(t)` as defined above.

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