Abstract: This letter proposes a novel approach for designing non-surjective (NS) finite alphabet iterative decoders (FAIDs) for quasi-cyclic low-density parity-check (LDPC) codes, especially 5G LDPC ...

This is a preview. Log in through your library . Abstract If $f: \mathbf{R}^m \rightarrow \mathbf{R}^m$ is continuous and locally injective, then f is in fact ...

A function $f: X \to Y$ is said to be surjective if it covers its entire codomain $Y$. That is, $$ \forall y \in Y, \exists x \in X \mid f(x) = y $$ ...

Let $I = \lbrack 0, 1 \rbrack, \mathscr{B} =$ Lebesgue measurable subsets of [0, 1], and let $\lambda$ denote the Lebesgue measure on $(I, \mathscr{B})$. Let $\tau: I ...

Abstract: This paper introduces a new theoretical framework, akin to the use of imprecise message storage in Low Density Parity Check (LDPC) decoders, which is seen as an enabler for cost-effective ...

ABSTRACT: For a given graph G, a k-role assignment of G is a surjective function such that , where N(x) and N(y) are the neighborhoods of x and y, respectively. Furthermore, as we limit the number of ...

ABSTRACT: For a given graph G, a k-role assignment of G is a surjective function such that , where N(x) and N(y) are the neighborhoods of x and y, respectively. Furthermore, as we limit the number of ...