Let
$$\{(R_k,D_k)\}_{k=1}^\infty$$
be a sequence of pairs, where
$$D_k=\{0,1,\ldots,q_k-1\}(1,1)^T$$
is an integer vector set and
$$R_k$$
is an integer diagonal matrix or upper triangular matrix, i.e.,
$$R_k={\begin{pmatrix} s_k & 0\\ 0 & t_k \end{pmatrix}}$$
or
$$R_k={\begin{pmatrix} u_k & 1\\ 0 & v_k \end{pmatrix}}$$
.
Associated with the sequence
$$\{(R_k,D_k)\}_{k=1}^\infty$$
, Moran measure
$$\mu_{\{R_k\},\{D_k\}}$$
is defined by
$$\mu_{\{R_k\},\{D_k\}}=\delta_{R_{1}^{-1}D_{1}}\ast\delta_{R_{1}^{-1}R_...
