Results 21 to 30 of about 19,459 (310)
On the State Approach Representations of Convolutional Codes over Rings of Modular Integers
Mathematics, 2021 In this study, we prove the existence of minimal first-order representations for convolutional codes with the predictable degree property over principal ideal artinian rings.
Ángel Luis Muñoz Castañeda +2 more
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Realization of 2D (2,2)–Periodic Encoders by Means of 2D Periodic Separable Roesser Models
International Journal of Applied Mathematics and Computer Science, 2019 It is well known that convolutional codes are linear systems when they are defined over a finite field. A fundamental issue in the implementation of convolutional codes is to obtain a minimal state representation of the code. Compared with the literature
Napp Diego +3 more
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A Decoding Algorithm for Convolutional Codes
Mathematics, 2022 It is shown how the decoding algorithms of Pellikaan and Rosenthal can be coupled to produce a decoding algorithm for convolutional codes. Bounds for the computational cost per decoded codeword are also computed.
Sandra Martín Sánchez +1 more
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Minimal State-Space Representation of Convolutional Product Codes
Mathematics, 2021 In this paper, we study product convolutional codes described by state-space representations. In particular, we investigate how to derive state-space representations of the product code from the horizontal and vertical convolutional codes.
Joan-Josep Climent +3 more
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Private Streaming With Convolutional Codes [PDF]
IEEE Transactions on Information Theory, 2018 Recently, information-theoretic private information retrieval (PIR) from coded storage systems has gained a lot of attention, and a general star product PIR scheme was proposed. In this paper, the star product scheme is adopted, with appropriate modifications, to the case of private (e.g., video) streaming.
Holzbaur, Lukas +4 more
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Generalized Weights of Convolutional Codes
IEEE Transactions on Information Theory, 2023 In 1997 Rosenthal and York defined generalized Hamming weights for convolutional codes, by regarding a convolutional code as an infinite dimensional linear code endowed with the Hamming metric. In this paper, we propose a new definition of generalized weights of convolutional codes, that takes into account the underlying module structure of the code ...
Elisa Gorla, Flavio Salizzoni
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Feedback equivalence of convolutional codes over finite rings
Open Mathematics, 2017 The approach to convolutional codes from the linear systems point of view provides us with effective tools in order to construct convolutional codes with adequate properties that let us use them in many applications.
DeCastro-García Noemí
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Research on Block-Based Blind Identification of High-rate Punctured Convolutional Codes
MATEC Web of Conferences, 2018 Aiming at the large amount of memory in high bit rate punctured convolutional codes, a soft recognition algorithm based on block Hadamard matrix (B-SWHT) is proposed.
Yan Hua, Huang Ying, Li Baoguo, Lei Jing
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Near-capacity iterative decoding of binary self-concatenated codes using soft decision demapping and 3-D EXIT charts [PDF]
, 2010 In this paper 3-D Extrinsic Information Transfer (EXIT) charts are used to design binary Self-Concatenated Convolutional Codes employing Iterative Decoding (SECCC-ID), exchanging extrinsic information with the soft-decision demapper to approach the ...
Butt, Muhammad Fasih +3 more
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IEEE Access, 2020 In digital communication systems, error correction codes are used to recover data that has been disturbed in a noisy environment. Convolutional code is a commonly used error correction code. In non-cooperative communication systems, it is very meaningful
Yong Ding, Zhiping Huang, Jing Zhou
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