The discrete multidimensional MPUM
Multidimensional Systems and Signal Processing
The capacity of finite Abelian group codes over symmetric memoryless channels
IEEE Transactions on Information Theory
On minimality of convolutional ring encoders
IEEE Transactions on Information Theory
Finite multidimensional behaviors
Multidimensional Systems and Signal Processing
| Hi-index | 754.96 |
Convolutional codes over rings are particularly suitable for representing codes over phase-modulation signals. In order to develop a complete structural analysis of this class of codes, it is necessary to study rational matrices over rings, which constitutes the generator matrices (encoders) for such convolutional codes. Noncatastrophic, minimal, systematic, and basic generator matrices are introduced and characterized by using a canonical form for polynomial matrices over rings. Finally, some classes of convolutional codes, defined according to the generator matrix they admit, are introduced and analyzed from a system-theoretic point of view