Cyclic Extension

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Marc P. C. Fossorier - One of the best experts on this subject based on the ideXlab platform.

  • construction of irregular ldpc codes by quasi Cyclic Extension
    IEEE Transactions on Information Theory, 2007
    Co-Authors: Jinghu Chen, R M Tanner, Juntan Zhang, Marc P. C. Fossorier
    Abstract:

    In this correspondence, we propose an approach to construct irregular low-density parity-check (LDPC) codes based on quasi-Cyclic Extension. When decoded iteratively, the constructed irregular LDPC codes exhibit a relatively low error floor in the high signal-to-noise ratio (SNR) region and are subject to relatively few undetected errors. The LDPC codes constructed based on the proposed scheme remain efficiently encodable

Humio Ichimura - One of the best experts on this subject based on the ideXlab platform.

Yuval Roichman - One of the best experts on this subject based on the ideXlab platform.

  • higher lie characters and Cyclic descent Extension on conjugacy classes
    arXiv: Combinatorics, 2019
    Co-Authors: Pal Hegedus, Yuval Roichman
    Abstract:

    A Cyclic descent Extension of the classical notion of descent set, for permutations as well as standard Young tableaux, was introduced and studied in recent years. The main result of this paper is a full characterization of conjugacy classes in the symmetric group, which carry a Cyclic descent Extension. Letting $S_n$ be the symmetric group on $n$ letters and $\C_\mu\subset S_n$ be a conjugacy class of cycle type $\mu$, it is shown that the descent map on $\C_\mu$ has a Cyclic Extension if and only if $\mu$ is not of the form $(r^s)$ for some square-free $r$. The proof involves a detailed study of hook constituents in higher Lie characters.

  • higher lie characters and Cyclic descent Extension on conjugacy classes
    arXiv: Combinatorics, 2019
    Co-Authors: Ron M Adin, Pal Hegedus, Yuval Roichman
    Abstract:

    A now-classical Cyclic Extension of the descent set of a permutation has been introduced by Klyachko and Cellini. Following a recent axiomatic approach to this notion, it is natural to ask which sets of permutations admit such an Extension. The main result of this paper is a complete answer in the case of conjucay classes of permutations. It is shown that the conjugacy class of cycle type $\lambda$ has such an Extension if and only if $\lambda$ is not of the form $(r^s)$ for some square-free $r$. The proof involves a detailed study of hook constituents in higher Lie characters.

Lucy E Dunne - One of the best experts on this subject based on the ideXlab platform.

  • effects of the textile sensor interface on stitched strain sensor performance
    International Symposium on Wearable Computers, 2019
    Co-Authors: Ellen Dupler, Lucy E Dunne
    Abstract:

    The influence of the textile substrate on the performance of a textile-based strain sensor has not been well understood or characterized in many wearable sensor evaluations. The underlying textile has its own anisotropic mechanical behaviors due to its woven or knit fabrication process, and introduces non-trivial structural influences on integrated wearable strain sensors. This study considers stitched strain sensors of two stitch geometries, fabricated on two different knit fabrics, with the sensor stitched in different orientations with respect to the knit structure. The resulting mechanical and electrical performance is characterized under Cyclic Extension, as the angle of Extension (relative to the fabric) is also incrementally changed. The results illustrate a shift from linear to non-linear mechanical behavior as fabric stiffness increases, and variations in behavior between stitch geometries. Results show that force direction and sensor placement both introduce variability in calculated elastic modulus, which affect sensor modeling (e.g. predicting applied force from sensor response). A novel stitch geometry (the chainstitch sensor) is characterized as having a higher gauge force and lower transverse sensitivity factor than the coverstitch sensor. This work offers insight into the textile-sensor interface and design implications for development of textile-based sensors.

Jinghu Chen - One of the best experts on this subject based on the ideXlab platform.

  • construction of irregular ldpc codes by quasi Cyclic Extension
    IEEE Transactions on Information Theory, 2007
    Co-Authors: Jinghu Chen, R M Tanner, Juntan Zhang, Marc P. C. Fossorier
    Abstract:

    In this correspondence, we propose an approach to construct irregular low-density parity-check (LDPC) codes based on quasi-Cyclic Extension. When decoded iteratively, the constructed irregular LDPC codes exhibit a relatively low error floor in the high signal-to-noise ratio (SNR) region and are subject to relatively few undetected errors. The LDPC codes constructed based on the proposed scheme remain efficiently encodable