[PDF] Top 20 A new class of superregular matrices and MDP convolutional codes
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A new class of superregular matrices and MDP convolutional codes
... problem of constructing superregular matrices that lead to MDP con- volutional ...These matrices are a type of lower block triangular Toeplitz matrices with the property ... See full document
14
MDS 2D convolutional codes with optimal 1D horizontal projections
... (2D) convolutional codes is a class of codes that generalizes standard one-dimensional (1D) convolutional codes in order to treat two dimensional ...novel and ... See full document
20
Minimal state-space realizations of 2D convolutional codes
... simplicity of their updating ...connection of two 1D state-space models each of which evolves in a di fferent ...characterization of minimality in terms of necessary and su ... See full document
113
From 1D convolutional codes to 2D convolutional codes of rate 1/n
... a new type of superregular matrices was ...The superregular matrices we are going to construct in this work have similar entries and, therefore, some properties are the ... See full document
9
MDP periodically time-varying convolutional codes
... MDP convolutional codes are characterized by the property that their initial column distances increase as rapidly as possible for as long as possible and therefore they are very important ... See full document
8
Separation set distance for 2D Convolutional Codes
... problem of extending the well-known no- tion of column distance of one-dimensional (1D) convolutional codes to the context of multidimensional (nD) convolutional ...case ... See full document
13
Generalized column distances for convolutional codes
... construct and MDP convolutional code with these parameters, one needs to con- struct a superregular matrix of size 7 × 7 (see [15], [17], ...that superregular matrices are ... See full document
5
Maximum distance separable 2D convolutional codes
... use of the so-called superregular ...construct superregular matrices with the required ...results of the paper we also show (in Section V) how to use a circulant Cauchy matrix over a ... See full document
23
Distance properties of convolutional codes over Z pr
... Convolutional codes whose column distances increase as rapidly as possible for as long as possible are called maximum distance profile (MDP) ...These codes are specially appealing for ... See full document
102
Superregular matrices and applications to convolutional codes
... block codes (when δ = 0). A convolutional code of rate k/n and degree δ with its distance equal to the generalized Singleton bound was called a maximum distance separable (MDS) code ...set ... See full document
20
Spectral representations for a class of banded Jacobi-type matrices
... family of subspaces of ...version of the sufficient discrete condition for the existence of the Riesz basis in H (see [19, ...division of Γ, here and throughout, we understand a ... See full document
17
A class of singular Ro-matrices and extensions to semidefinite linear complementarity problems
... generalizations of this class of matri- ces in the classical linear complementarity theory and study extensions to the semidefinite linear complementarity ...x of LCP (A, 0) to lie in a ... See full document
10
Realization of 2D convolutional codes of rate 1/n by separable Roesser models
... 1D convolutional codes, state-space representations commonly used in systems theory, are very useful for the analysis and construction of these ...Minimality of these representations is ... See full document
12
Minimal realizations of a special class of 2D codes
... Similarly to what happens in the 1D case this is a hard problem since there are many different encoders for the same code. Therefore it is not enough to obtain a minimal real- ization for an encoder, but it is also ... See full document
7
Realizable lists on a class of nonnegative matrices
... number and is realizable then it can be realized by a permutative matrix, and thus explicit permutative matrices which realize Sule˘ımanova spectra were ... See full document
24
Input-state-output representations and constructions of finite-support 2D convolutional codes
... support convolutional codes and used these representations in the con- struction of good ...support convolutional codes, considering the Fornasini-Marchesini state space model ... See full document
13
A state space approach to periodic convolutional codes
... bound, and can be considerably lower for codes over small fields, whereas it coincides with the Singleton for codes over sufficiently large finite ...4-tuple of nonnegative integers such that ... See full document
11
On duals and parity-checks of convolutional codes over Z p r
... properties of its dual C ⊥ ...matrix of C ⊥ . Moreover, we show that the transpose of such a matrix is a parity-check matrix (also called syndrome former) of ... See full document
18
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes
... special class of 2D convolutional codes (com- position codes) with encoders G(d 1 ,d 2 ) that can be decomposed as the product of two 1D encoders, ...) and G 2 (d 2 ) are ... See full document
8
Good Quasi-Cyclic Codes from Circulant Matrices Concatenation using a Heuristic Method
... Some of these works, ...source codes, good channel codes and spherical ...linear codes. In [7] [8] the authors found good double and triple circulant codes, using the ... See full document
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