Decoding of MDP Convolutional Codes over the Erasure Channel

This paper studies the decoding capabilities of maximum distance profile (MDP) convolutional codes over the erasure channel and compares them with the decoding capabilities of MDS block codes over the same channel. The erasure channel involving large alphabets is an important practical channel model when studying packet transmissions over a network, e.g, the Internet

Duality between Multidimensional Convolutional Codes and Systems

Multidimensional convolutional codes generalize (one dimensional) convolutional codes and they correspond under a natural duality to multidimensional systems widely studied in the systems literature.Comment: 16 pages LaTe

Output observability of time-invariant singular linear systems

In this paper finite-dimensional singular linear discrete-time-invariant systems in the form Ex(k + 1) = Ax(k) + Bu(k), y(k) = Cx(k) where E;A 2 M = Mn(C), B 2 Mn£m(C), C 2 Mp£n(C), describing convolutional codes are considered and the notion of output observability is analyzed.Postprint (published version

Las matrices de Toeplitz en la construcción de códigos convolucionales perforados

En este trabajo presentamos la modelización de la técnica de perforación de códigos convolucionales introducida por McEliece desde el punto de vista de sistemas. Aplicando esta técnica a un (2, 1, 1)-código convolucional óptimo y teniendo en cuenta las propiedades de las matrices de Toeplitz, construimos un nuevo (3, 2, 1)-código óptimo