2 citations · 3 across the 5 of their papers we have counts for
6 papers
Construction of observable and MDP convolutional codes with good decodable properties for erasure channels by I/S/O representations
Noemí DeCastro-García, Miguel V. Carriegos, Ángel Luis Muñoz Castañeda
This paper addresses the construction of observable convolutional codes that exhibit good performance with the available decoding algorithms for erasure channels. Our construction…
Decoding convolutional codes over finite rings. A linear dynamical systems approach
Ángel Luis Muñoz Castañeda, Noemí Decastro-García, Miguel V. Carriegos
Observable convolutional codes defined over Zpr with the Predictable Degree Property admit minimal input/state/output representations that preserve structural properties under scal…
Linear representations of convolutional codes over rings
Miguel V. Carriegos, Noemí DeCastro-García, Ángel Luis Muñoz Castañeda
In this paper we extend the relation between convolutional codes and linear systems over finite fields to certain commutative rings through first order representations . We introdu…
A note on the kernel of a pair of linear maps
Miguel V. Carriegos, Noemí DeCastro-García, Ángel Luis Muñoz Castañeda
The kernel of a pair of linear systems is studied in the framework of commutative ring theory with applications to behavioral perspective of linear systems
Partitions of elements in a monoid and its applications to systems theory
Miguel V. Carriegos, Noemí DeCastro-García
The feedback class of a locally Brunovsky linear system is fully determined by the decomposition of state space as direct sum of system invariants [4]. In this paper we attack the…
On the K-theory of feedback actions on linear systems
Miguel V. Carriegos, Ángel Luis Muñoz Castañeda
A categorical approach to linear control systems is introduced. Feedback actions on linear systems arises as a symmetric monoidal category. Stable feedback isomorphisms generalize…