Table 1: Symbols and definitions used in the theoretical description section.

Symbols

Meaning

A, a, f, m, n, k

Unless specified otherwise, normal font designates scalars

,

Italic font designates vectors. Different vectors can be distinguished by the left-superscript notation

A, a, Abc, Pan, Sa

Bold font designates operators or matrices (here all operators are matrices)

, , ,

Operators can be distinguished by the left-superscript notation. For sampling operator Sa, this notation specifies the sampling fraction of the Sa operator

A_{1}, a_{2}, ,

Normal font with right subscript designates scalar values of the vector

A_{11}, A_{21}, A_{ij}, A_{ii}

Normal font with two right subscripts designates scalar values of the 2D matrix

Description of the scalar elements in the vector

Description of the scalar elements in the matrix

x ∈ [A B]

Scalar x belongs to the inclusive scalar interval [A B]; that is, A ≤ x ≤ B

Vector x belongs to the “vector interval” ; that is, for every element A_{i} ≤ x_{i} ≤ B_{i}

Set where A, B, C,, X are the unique elements of the set

{A(a) B(b)X(x)}

Multiset (2-tuple) where A, B,, X are the unique elements and a, b, x are the scalars describing the copy numbers of the A, B, X elements

I_{N}

Unity matrix of the Nth order; that is, N × N matrix , A_{ij} = δ _{ij} (Kronecker delta)