Feedback equivalence of convolutional codes over finite rings

N DeCastro-García - Open Mathematics, 2017 - degruyter.com
The approach to convolutional codes from the linear systems point of view provides us with
effective tools in order to construct convolutional codes with adequate properties that let us …

Rosenthal's decoding algorithm for certain 1-dimensional convolutional codes

ÁLM Castañeda, JM Muñoz-Porras… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
The performance of Rosenthal's decoding algorithm is measured when it is applied to
certain family of 1-dimensional MDS convolutional codes. It is shown that the performance of …

Construction of observable and MDP convolutional codes with good decodable properties for erasure channels by I/S/O representations

N DeCastro-García, MV Carriegos… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper addresses the construction of observable convolutional codes that exhibit good
performance with the available decoding algorithms for erasure channels. Our construction …

[HTML][HTML] Decoding of MDP Convolutional Codes over the Erasure Channel under Linear Systems Point of View

MI García-Planas, LE Um - Mathematics, 2024 - mdpi.com
This paper attempts to highlight the decoding capabilities of MDP convolutional codes over
the erasure channel by defining them as discrete linear dynamical systems, with which the …

Convolutional codes under control theory point of view. Analysis of output-observability

MI García Planas, EM Souidi, LE Um - 2013 - upcommons.upc.edu
In this work we make a detailed look at the algebraic structure of convolutional codes using
techniques of linear systems theory. The connection between these concepts help to better …

Sufficient conditions for controllability and observability of serial and parallel concatenated linear systems

MI García Planas… - … Journal of Circuits …, 2014 - upcommons.upc.edu
This paper deals with the sufficient conditions for controllability and observability characters
of finitedimensional linear continuous-time-invariant systems of serial and parallel …

[PDF][PDF] Decoding algorithm for convolutional codes under linear systems point of view

MI García Planas, EM Souidi… - Recent Advances in …, 2014 - upcommons.upc.edu
Decoding Algorithm for Convolutional Codes under Linear Systems Point of View. Page 1
Decoding Algorithm for Convolutional Codes under Linear Systems Point of View. MI …

A general approach for computing residues of partial-fraction expansion of transfer matrices

MI García Planas… - WSEAS transactions on …, 2013 - upcommons.upc.edu
This paper deals with the description of a general method for calculating the residues of a
linear system. Considering, physical models, it is well-assumed that the system described …

Modified linear block code with code rate 1/2 and less than 1/2

S Talmale, S Unnikrishnan… - Journal of Discrete …, 2019 - Taylor & Francis
This work proposes a new code which can be considered as the modification of linear block
code with code rate 1/2 and less than 1/2. The theme of the work is derived from the …

Analysis of control properties of concatenated convolutional codes

MI García Planas, EM Souidi… - Cybernetics and Physics, 2012 - upcommons.upc.edu
In this paper we consider two models of concatenated convolutional codes from the
perspective of linear systems theory. We present an input-state-output representation of …