System-theoretic properties of convolutional codes over rings

IEEE Transactions on Information Theory

Volumn 47, Issue 6, 2001, Pages 2256-2274

  Fagnani, Fabio ^a   Zampieri, Sandro ^b  

^a POLITECNICO DI TORINO   (Italy)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

Convolutional codes over rings; Dynamical systems over rings; Encoders; Polynomial matrices; Rational matrices

Indexed keywords

CONFORMAL MAPPING; ENCODING (SYMBOLS); MATRIX ALGEBRA; PHASE MODULATION; POLYNOMIALS; TOPOLOGY;

CODES OVER RINGS; ENCODERS; POLYNOMIAL MATRICES; RATIONAL MATRICES;

CONVOLUTIONAL CODES;

EID: 0035442509     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.945247     Document Type: Article

References (26)

1. Geometrically uniform TCM codes over groups based on L × MPSK constellations
2. Rotational invariance of trellis codes-Part II: Group codes and decoders
3. Commutative algebra
4. Some results on the classification of expansive automorphisms of compact Abelian groups
5. Dynamical systems and convolutional codes over finite abelian groups
6. Canonical kernel representations for behaviors over finite Abelian groups
7. Convolutional codes over finitely generated Abelian groups: Some basic results
8. Convolutional codes I: Algebraic structure
9. Geometrically uniform codes
10. The dynamics of group codes: State spaces, trellis diagrams and canonical encoders
11. A linear algebra approach to minimal convolutional encoders
12. Some structural properties of convolutional codes over rings
13. Elementary divisors and modules
14. Coding theory
15. Convolutional codes over rings
16. Systematicity and rotational invariance of convolutional codes over rings
17. Ring convolutional codes for phase modulation
18. Minimal encoders for convolutional codes over rings
19. Convolutional codes over rings and the two chain conditions
20. Convolutional codes from a dynamical system point of view
21. Linear systems over Noetherian rings in the behavioral approach