Results 271 to 280 of about 19,459 (310)
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International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings., 2004
Convolutional network codes are considered for cyclic graphs. In CNC each node receives several streams and generates output streams whose current symbols depend on the current input symbols and previous input symbols in the node memory. A multicast CNC can be constructed using an algorithm, in order to minimize the memory and overhead, coefficients of
Elona Erez, Meir Feder
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Convolutional network codes are considered for cyclic graphs. In CNC each node receives several streams and generates output streams whose current symbols depend on the current input symbols and previous input symbols in the node memory. A multicast CNC can be constructed using an algorithm, in order to minimize the memory and overhead, coefficients of
Elona Erez, Meir Feder
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Multidimensional Convolutional Codes
SIAM Journal on Discrete Mathematics, 2002The purpose of the paper is to find a suitable formulation for the definition of a multidimensional convolutional code from a symbolic dynamics perspective. Three possible formulations for the definition of a multidimensional convolutional code are discussed.
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IEEE Transactions on Information Theory, 1983
Summary: Maximum distance separable (MDS) convolutional codes are defined as the row space over \(F(D)\) of totally nonsingular polynomial matrices in the indeterminate \(D\). These codes may be used to transmit information on \(n\) parallel channels when a temporary or even an infinite break can occur in some of these channels.
Philippe Piret, Thijs Krol
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Summary: Maximum distance separable (MDS) convolutional codes are defined as the row space over \(F(D)\) of totally nonsingular polynomial matrices in the indeterminate \(D\). These codes may be used to transmit information on \(n\) parallel channels when a temporary or even an infinite break can occur in some of these channels.
Philippe Piret, Thijs Krol
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On a class of convolutional codes
IEEE Transactions on Information Theory, 1983Summary: For the case when \(k\) divides \(n\), we introduce a special class of \((n,k)\) \(F\)-ary convolutional codes, \(F= \mathrm{GF}(q)\) a finite field, by considering the input to an \((n,k)\) encoder as a sequence over \(\mathrm{GF}(q^k)\), the output as a sequence over \(\mathrm{GF}(q^n)\), and then considering encoders which correspond to ...
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A MacWilliams formula for Convolutional Codes
2007 IEEE International Symposium on Information Theory, 2007Regarding convolutional codes as polynomial analogues of arithmetic lattices, we derive a Poisson–Jacobi formula for their trivariate weight enumerator. The proof is based on harmonic analysis on locally compact abelian groups as developed in Tate's thesis to derive the functional equation of the zeta function.
Patrick Solé, Dmitrii V. Zinoviev
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Recursive convolutional codes for time-invariant LDPC convolutional codes
2010 IEEE International Symposium on Information Theory, 2010In this paper we present an attractive alternative to construct time-invariant Low-Density Parity-Check Convolutional Codes (LDPC-CC) of coding rate-b/c from a simple recursive systematic convolutional encoder design. The proposed Recursive Convolutional Doubly-Orthogonal (RCDO) encoders have a corresponding Tanner graph for which the girth is ...
Eric Roy +2 more
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Signal Codes: Convolutional Lattice Codes
IEEE Transactions on Information Theory, 2011The coded modulation scheme proposed in this paper has a simple construction: an integer sequence, representing the information, is convolved with a fixed, continuous-valued, finite impulse response (FIR) filter to generate the codeword - a lattice point. Due to power constraints, the code construction includes a shaping mechanism inspired by precoding
Ofir Shalvi, Naftali Sommer, Meir Feder
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Every Convolutional Code is a Goppa Code
IEEE Transactions on Information Theory, 2013Convolutional Goppa codes (CGC) were defined in Appl. Algebra Eng. Comm. Comput., vol. 15, pp. 51-61, 2004 and IEEE Trans. Inf. Theory, vol. 52, 340-344, 2006. In this paper, we prove that every convolutional code is a CGC defined over a smooth curve over \BBF q(z) and we give an explicit construction of convolutional codes as CGC over the projective ...
José Ignacio Iglesias Curto +3 more
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2008
Die vorliegende Arbeit befasst sich mit verkoppelten Faltungscodes - Codes die durch Verkettung von mehreren systematischen äusseren Faltungscodes und mehreren systematischen inneren Blockcodes konstruiert sind, wobei die einzelnen Eingangssequenzen der äusseren Codes verschachtelt werden, bevor sie in die inneren Codes hineingehen.
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Die vorliegende Arbeit befasst sich mit verkoppelten Faltungscodes - Codes die durch Verkettung von mehreren systematischen äusseren Faltungscodes und mehreren systematischen inneren Blockcodes konstruiert sind, wobei die einzelnen Eingangssequenzen der äusseren Codes verschachtelt werden, bevor sie in die inneren Codes hineingehen.
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Syndrome Decoding of Convolutional Codes
IEEE Transactions on Communications, 1975The classical Viterbi decoder recursively finds the trellis path (code word) closest to the received data. Given the received data, the syndrome decoder first forms a syndrome, instead. A recursive algorithm like Viterbi's is used to determine the noise sequence of minimum Hamming weight that can be a possible cause of this syndrome. Given the estimate
Joost Schalkwijk, A. J. Han Vinck
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