## ABSTRACT

An ordered set of M elements such as a time series of some data is known as a vector and written as

g =

g0 g1 ...

gM−1

=

[ g0 g1 . . . gM−1

]T . (B.1)

The nth element of the vector g is denoted by gn. In image processing, we require vectors with real-valued and complex-valued elements. A matrix G of size M ×N is a double-indexed ordered set with MN elements

G =

g0,0 g0,1 . . . g0,N−1 g1,0 g1,1 . . . g1,N−1 ...