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Advances in Mathematics of Communications (AMC)
 

Input-state-output representations and constructions of finite support 2D convolutional codes

Pages: 533 - 545, Volume 4, Issue 4, November 2010      doi:10.3934/amc.2010.4.533

 
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Diego Napp - Department of Mathematics, University of Aveiro, Campus Universitario de Santiago, 3810-193 Aveiro, Portugal (email)
Carmen Perea - Center of Operation Research, Department of Statistics, Mathematics and Informatics, University Miguel Hernández, Av. Universidad s/n, 0302 Elche, Spain (email)
Raquel Pinto - Department of Mathematics, University of Aveiro, Campus Universitario de Santiago, 3810-193 Aveiro, Portugal (email)

Abstract: Two-dimensional convolutional codes are considered, with codewords having compact support indexed in $\mathbb N$2 and taking values in $\mathbb F$n, where $\mathbb F$ is a finite field. Input-state-output representations of these codes are introduced and several aspects of such representations are discussed. Constructive procedures of such codes with a designed distance are also presented.

Keywords:  2D convolutional codes, systems theory, input-state-output representations.
Mathematics Subject Classification:  Primary: 94B10, 93C35; Secondary: 93B25.

Received: December 2009;      Revised: June 2010;      Available Online: November 2010.

 References