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# scipy.fftpack.shift

`scipy.fftpack.``shift`(x, a, period=None, _cache={})

  shift(x, a, period=2*pi) -> y

  Shift periodic sequence x by a: y(u) = x(u+a).

  If x_j and y_j are Fourier coefficients of periodic functions x and y, respectively, then

  > y_j = exp(j*a*2*pi/period*sqrt(-1)) * x_f

  Optional input:
    period
      The period of the sequences x and y. Default period is 2*pi.

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