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Segmented computation of wavelet transform via lifting scheme

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F11%3APU94266" target="_blank" >RIV/00216305:26220/11:PU94266 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Segmented computation of wavelet transform via lifting scheme

  • Original language description

    This paper presents a novel algorithm for segmented (segmentwise) computation of forward and inverse wavelet transform via a lifting scheme, applicable to any type of a lifting scheme representation of wavelets. The main idea is to process segments taken from a long one-dimensional signal so that after reconstruction, no border distortion between segments occurs.This is achieved by means of sophisticated segment overlapping. In this work, arbitrary and possibly varying segment lengths are considered. The derivation of formulas for overlap enumeration is the main concern of this work. The algorithm produces sets of coefficients for each segment. These sets from each segment ordered correctly are exactly the same coefficients the whole signal discrete wavelet transform results in. Similarly, the whole signal inverse discrete wavelet transform is equal to applying the algorithm to sets of coefficients and overlapping the results accordingly. The algorithm makes it possible to process signals in real-time, allows coarse parallelization since the computation on the particular segments is independent and also allows computation of wavelet transform on devices with a limited amount of memory.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JA - Electronics and optoelectronics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    34rd International Conference on TELECOMMUNICATIONS AND SIGNAL PROCESSING

  • ISBN

    978-1-4577-1409-2

  • ISSN

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

    1-5

  • Publisher name

    ASSZISZTENCIA Congress Bureau

  • Place of publication

    Budapest

  • Event location

    Budapest

  • Event date

    Aug 18, 2011

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article