In recent years there has been a growing interest in the fractional Fourier
transform driven by its great number of applications. The literature in this
field follows two main routes. On the one hand the applications fields where
the ordinary Fourier transform can be applied are being revisited to use this
intermediate time-frequency representation of signals; and on the other hand
fast algorithms for numerical computation of the fractional Fourier transform
are devised. In this paper we derive a Gaussian-like quadrature of the
continuous fractional Fourier transform.