Sentence examples for generalized linear systems from inspiring English sources

The same idea of the LR model has also been further explored in [35] to study other generalized linear systems.

Prominent examples of generalized linear systems include the multiplicative homomorphic filter (MHF), the parametric LR model, the LIP model, and the SLIP model.

Despite their differences, generalized linear systems have two fundamental operations: vector addition ⊕ and scalar multiplication ⊗, which are defined by using the generating function as follows: xoplus y=phi^{-1}left[phi(x)+phi y)right] (12).

Fig. 2 Block diagram of the generalized linear system.

In this paper, based on the concept of the generalized linear system (GLS), we first proposed the generalized gamma correction algorithm as the scalar multiplication of a GLS.

The generalization is based on the interpretation of the gamma correction algorithm as a special case of the scalar multiplication of a generalized linear system (GLS).

(1) We demonstrate that the scalar multiplication operation of a generalized linear system is a principled way to develop the unified framework which is called the generalized gamma correction.

Theorem 1 Let F j, n ( t ) for j = 1, …, m be the Bernstein polynomials of degree n such that their coefficients have been produced by solving the generalized linear system (7).

The resulting generalized linear system can be solved for a j, p for j = 1, …, m ; p = 0, …, n by a standard method, and hence F j ( t ) is obtained.

In the above generalized linear system, the symbols are defined as follows: W q, p ( i, j ) = T q, p ( i, j ) and V q, p ( i, j ) = R q, p ( i, j ).

Theorem 2 Suppose that F j, n ( t ) for j = 1, …, m are the Bernstein polynomials of degree n such that their coefficients have been produced by solving the generalized linear system (10).