  The quadratic nature of the Wigner distribution causes the appearance of
unwanted interferences. This is the reason why engineers, mathematicians and
physicists look for related time-frequency distributions, many of them are
members of the Cohen class. Among them, the Born-Jordan distribution has
recently attracted the attention of many authors, since the so-called ghost
frequencies are damped quite well, and the noise is in general reduced. The
very insight relies on the kernel of such a distribution, which contains the
sinus cardinalis (sinc), which can be viewed as the Fourier transform, of the
first B-Spline. Replacing the function B-Spline with the spline or order n, on
the Fourier side we obtain the n-th power of sinc, whose decay at infinity
increases with n. We introduce the corresponding Cohen's Kernel and study the
properties of the related time-frequency distribution which we call generalized
Born--Jordan distribution.
