Table 1:

Table of Notation

$A^{\ast }$	the complex conjugate transpose of the matrix $A$
${\mathbb{Z}}_M$	the cyclic group of order $M$
$𝒢\times 𝒜$	the direct product between group $𝒢$ and group $𝒜$
$g\circ f$	the action of $g\in 𝒢$on a function$f\in L^2(𝒴):(g\circ f)(x)=f\left(g^{-1}x\right)$
$tr(A)$	the trace of the matrix $A$
$A\otimes B$	the Kronecker (tensor) product of the matrix A and the matrix $B$