Publication result detail

Algorithms for Segmentwise Computation of Forward and Inverse Discrete-time Wavelet Transform

RAJMIC, P.

Original Title

Algorithms for Segmentwise Computation of Forward and Inverse Discrete-time Wavelet Transform

English Title

Algorithms for Segmentwise Computation of Forward and Inverse Discrete-time Wavelet Transform

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The paper describes a method of segmented wavelet transform (SegWT) that makes it possible to compute the discrete-time wavelet transform of a signal segment-by-segment, with exactly the same result as if the whole signal were transformed at once. Due to its generality, the method can be utilized in many situations: for wavelet-type processing of a signal in real time or in case we want to process the signal in parallel or in case we need to process a long signal, but the available memory capacity is insufficient (e.g. in the DSPs). In the paper, the background theory and the emerging principles of both the forward and the inverse SegWT are explained.

English abstract

The paper describes a method of segmented wavelet transform (SegWT) that makes it possible to compute the discrete-time wavelet transform of a signal segment-by-segment, with exactly the same result as if the whole signal were transformed at once. Due to its generality, the method can be utilized in many situations: for wavelet-type processing of a signal in real time or in case we want to process the signal in parallel or in case we need to process a long signal, but the available memory capacity is insufficient (e.g. in the DSPs). In the paper, the background theory and the emerging principles of both the forward and the inverse SegWT are explained.

Keywords

segmented discrete-time wavelet transform, real-time wavelet transform, SegWT, signal processing, algorithm

Key words in English

segmented discrete-time wavelet transform, real-time wavelet transform, SegWT, signal processing, algorithm

Authors

RAJMIC, P.

RIV year

2011

Released

01.03.2010

Publisher

Eudoxus Press

Location

Memphis, TN USA

ISBN

1548-5390

Periodical

Journal of Concrete and Applicable Mathematics

Volume

8

Number

3

State

United States of America

Pages from

1

Pages to

15

Pages count

15

BibTex

@article{BUT46907,
  author="Pavel {Rajmic}",
  title="Algorithms for Segmentwise Computation of Forward and Inverse Discrete-time Wavelet Transform",
  journal="Journal of Concrete and Applicable Mathematics",
  year="2010",
  volume="8",
  number="3",
  pages="1--15",
  issn="1548-5390"
}