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

DOI10.3934/amc.2010.4.533zbMath1213.94187OpenAlexW1968859034MaRDI QIDQ540396

Raquel Pinto, Carmen Perea, D. Napp Avelli

Publication date: 3 June 2011

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2010.4.533

zbMATH Keywords

systems theory2D convolutional codesinput-state-output representations

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Algebraic methods (93B25) Convolutional codes (94B10)

Related Items (17)

From 1D Convolutional Codes to 2D Convolutional Codes of Rate 1/n ⋮ Burst Erasure Correction of 2D Convolutional Codes ⋮ \(1/n\) turbo codes from linear system point of view ⋮ State representations of convolutional codes over a finite ring ⋮ A decoding algorithm for 2D convolutional codes over the erasure channel ⋮ MDS 2D convolutional codes with optimal 1D horizontal projections ⋮ A construction of MDS 2D convolutional codes of rate \(1/n\) based on superregular matrices ⋮ Realization of 2D convolutional codes of rate \(\frac{1}{n}\) by separable Roesser models ⋮ Series concatenation of 2D convolutional codes by means of input-state-output representations ⋮ The predictable degree property and minimality in multidimensional convolutional coding ⋮ On MDS convolutional codes over \(\mathbb{Z}_{p^r}\) ⋮ Serial concatenation of a block code and a 2D convolutional code ⋮ Block Toeplitz matrices for burst-correcting convolutional codes ⋮ Realization of 2D \((2,2)\)-periodic encoders by means of 2D periodic separable Roesser models ⋮ Non-catastrophicity in multidimensional convolutional coding ⋮ Periodic state-space representations of periodic convolutional codes ⋮ Decoding of 2D convolutional codes over an erasure channel

This page was built for publication: Input-state-output representations and constructions of finite support 2D convolutional codes