  Following the idea of the fractional space-time Fourier transform, a linear
canonical space-time transform for 16-dimensional space-time
$C\ell_{3,1}$-valued signals is investigated in this paper. First, the
definition of the proposed linear canonical space-time transform is given, and
some related properties of this transform are obtained. Second, the convolution
operator and the corresponding convolution theorem are proposed. Third, the
convolution theorem associated with the two-sided linear canonical space-time
transform is derived.
