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    A closed equation in time domain for band-limited extensions of one-sided sequences

    255717.pdf (188.4Kb)
    Access Status
    Open access
    Authors
    Dokuchaev, Nikolai
    Date
    2018
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Dokuchaev, N. 2018. A closed equation in time domain for band-limited extensions of one-sided sequences. IEEE Transactions on Signal Processing. 66 (1): pp. 215-223.
    Source Title
    IEEE Transactions on Signal Processing
    ISSN
    1053-587X
    School
    Department of Mathematics and Statistics
    Remarks

    © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

    URI
    http://hdl.handle.net/20.500.11937/56862
    Collection
    • Curtin Research Publications
    Abstract

    This paper suggests a method of optimal extension of one-sided semi-infinite sequences of a general type by traces of band-limited sequences in deterministic setting, i.e., without probabilistic assumptions. The method requires to solve a closed linear equation in the time domain connecting the past observations of the underlying process with the future values of the band-limited process. Robustness of the solution with respect to the input errors and data truncation is established in the framework of Tikhonov regularization.

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