Emerging applications of wavelets: A review

Ali N. Akansu, Wouter A. Serdijn, Ivan Selesnick

Research output: Contribution to journalArticle

Abstract

Although most of its popular applications have been in discrete-time signal processing for over two decades, wavelet transform theory offers a methodology to generate continuous-time compact support orthogonal filter banks through the design of discrete-time finite length filter banks with multiple time and frequency resolutions. In this paper, we first highlight inherently built-in approximation errors of discrete-time signal processing techniques employing wavelet transform framework. Then, we present an overview of emerging analog signal processing applications of wavelet transform along with its still active research topics in more matured discrete-time processing applications. It is shown that analog wavelet transform is successfully implemented in biomedical signal processing for design of low-power pacemakers and also in ultra-wideband (UWB) wireless communications. The engineering details of analog circuit implementation for these continuous-time wavelet transform applications are provided for further studies. We expect a flurry of new research and technology development activities in the coming years utilizing still promising and almost untapped analog wavelet transform and multiresolution signal representation techniques.

Original languageEnglish (US)
Pages (from-to)1-18
Number of pages18
JournalPhysical Communication
Volume3
Issue number1
DOIs
StatePublished - Mar 2010

Fingerprint

wavelet analysis
Wavelet transforms
emerging
signal processing
Signal processing
time signals
Filter banks
analogs
filters
Pacemakers
analog circuits
Analog circuits
wireless communication
Ultra-wideband (UWB)
engineering
methodology
broadband
Communication
Processing
approximation

Keywords

  • Analog signal processing
  • Analog wavelet filters
  • Discrete wavelet
  • Discrete wavelet approximation
  • Filter bank
  • Iterative-thresholding
  • Subband transform
  • Wavelet

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Emerging applications of wavelets : A review. / Akansu, Ali N.; Serdijn, Wouter A.; Selesnick, Ivan.

In: Physical Communication, Vol. 3, No. 1, 03.2010, p. 1-18.

Research output: Contribution to journalArticle

Akansu, Ali N. ; Serdijn, Wouter A. ; Selesnick, Ivan. / Emerging applications of wavelets : A review. In: Physical Communication. 2010 ; Vol. 3, No. 1. pp. 1-18.
@article{9a19b609d3ed48959050c04c2864ae22,
title = "Emerging applications of wavelets: A review",
abstract = "Although most of its popular applications have been in discrete-time signal processing for over two decades, wavelet transform theory offers a methodology to generate continuous-time compact support orthogonal filter banks through the design of discrete-time finite length filter banks with multiple time and frequency resolutions. In this paper, we first highlight inherently built-in approximation errors of discrete-time signal processing techniques employing wavelet transform framework. Then, we present an overview of emerging analog signal processing applications of wavelet transform along with its still active research topics in more matured discrete-time processing applications. It is shown that analog wavelet transform is successfully implemented in biomedical signal processing for design of low-power pacemakers and also in ultra-wideband (UWB) wireless communications. The engineering details of analog circuit implementation for these continuous-time wavelet transform applications are provided for further studies. We expect a flurry of new research and technology development activities in the coming years utilizing still promising and almost untapped analog wavelet transform and multiresolution signal representation techniques.",
keywords = "Analog signal processing, Analog wavelet filters, Discrete wavelet, Discrete wavelet approximation, Filter bank, Iterative-thresholding, Subband transform, Wavelet",
author = "Akansu, {Ali N.} and Serdijn, {Wouter A.} and Ivan Selesnick",
year = "2010",
month = "3",
doi = "10.1016/j.phycom.2009.07.001",
language = "English (US)",
volume = "3",
pages = "1--18",
journal = "Physical Communication",
issn = "1874-4907",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - Emerging applications of wavelets

T2 - A review

AU - Akansu, Ali N.

AU - Serdijn, Wouter A.

AU - Selesnick, Ivan

PY - 2010/3

Y1 - 2010/3

N2 - Although most of its popular applications have been in discrete-time signal processing for over two decades, wavelet transform theory offers a methodology to generate continuous-time compact support orthogonal filter banks through the design of discrete-time finite length filter banks with multiple time and frequency resolutions. In this paper, we first highlight inherently built-in approximation errors of discrete-time signal processing techniques employing wavelet transform framework. Then, we present an overview of emerging analog signal processing applications of wavelet transform along with its still active research topics in more matured discrete-time processing applications. It is shown that analog wavelet transform is successfully implemented in biomedical signal processing for design of low-power pacemakers and also in ultra-wideband (UWB) wireless communications. The engineering details of analog circuit implementation for these continuous-time wavelet transform applications are provided for further studies. We expect a flurry of new research and technology development activities in the coming years utilizing still promising and almost untapped analog wavelet transform and multiresolution signal representation techniques.

AB - Although most of its popular applications have been in discrete-time signal processing for over two decades, wavelet transform theory offers a methodology to generate continuous-time compact support orthogonal filter banks through the design of discrete-time finite length filter banks with multiple time and frequency resolutions. In this paper, we first highlight inherently built-in approximation errors of discrete-time signal processing techniques employing wavelet transform framework. Then, we present an overview of emerging analog signal processing applications of wavelet transform along with its still active research topics in more matured discrete-time processing applications. It is shown that analog wavelet transform is successfully implemented in biomedical signal processing for design of low-power pacemakers and also in ultra-wideband (UWB) wireless communications. The engineering details of analog circuit implementation for these continuous-time wavelet transform applications are provided for further studies. We expect a flurry of new research and technology development activities in the coming years utilizing still promising and almost untapped analog wavelet transform and multiresolution signal representation techniques.

KW - Analog signal processing

KW - Analog wavelet filters

KW - Discrete wavelet

KW - Discrete wavelet approximation

KW - Filter bank

KW - Iterative-thresholding

KW - Subband transform

KW - Wavelet

UR - http://www.scopus.com/inward/record.url?scp=73449111895&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=73449111895&partnerID=8YFLogxK

U2 - 10.1016/j.phycom.2009.07.001

DO - 10.1016/j.phycom.2009.07.001

M3 - Article

VL - 3

SP - 1

EP - 18

JO - Physical Communication

JF - Physical Communication

SN - 1874-4907

IS - 1

ER -