An L2-based approach for wavelet approximation

J.M.H. Karel; R.L.M. Peeters; R.l. Westra; S.A.P. Haddad; W.A. Serdijn

doi:10.1109/CDC.2005.1583436

An L2-based approach for wavelet approximation

J.M.H. Karel^*
, R.L.M. Peeters
, R.l. Westra
, S.A.P. Haddad
, W.A. Serdijn

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceeding › Academic › peer-review

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Abstract

Computation in the analog domain is very appealing from a power-consumption perspective. To implement a wavelet transform in an analog circuit, the wavelet function can be approximated by a linear system. An approach based on L-2-approximation is presented, that enables largely automate approximation of wavelet functions by impulse responses of linear Systems. Various continuous wavelet functions, such as the Gaussian wavelet and Daubechies wavelets of several orders, have been successfully approximated with this approach.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control
Publisher	IEEE
Pages	7882-7887
ISBN (Print)	0-7803-9567-0
DOIs	https://doi.org/10.1109/CDC.2005.1583436
Publication status	Published - Dec 2005
Event	44th IEEE Conference on Decision and Control and European Control Conference 2005 - Duration: 12 Dec 2005 → 15 Dec 2005

Conference

Conference	44th IEEE Conference on Decision and Control and European Control Conference 2005
Period	12/12/05 → 15/12/05

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10.1109/CDC.2005.1583436

Full TextFinal published version, 149 KBLicence: Taverne

http://ieeexplore.ieee.org/document/1583436/

Cite this

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title = "An L2-based approach for wavelet approximation",

abstract = "Computation in the analog domain is very appealing from a power-consumption perspective. To implement a wavelet transform in an analog circuit, the wavelet function can be approximated by a linear system. An approach based on L-2-approximation is presented, that enables largely automate approximation of wavelet functions by impulse responses of linear Systems. Various continuous wavelet functions, such as the Gaussian wavelet and Daubechies wavelets of several orders, have been successfully approximated with this approach.",

author = "J.M.H. Karel and R.L.M. Peeters and R.l. Westra and S.A.P. Haddad and W.A. Serdijn",

year = "2005",

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note = "44th IEEE Conference on Decision and Control and European Control Conference 2005 ; Conference date: 12-12-2005 Through 15-12-2005",

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AU - Karel, J.M.H.

AU - Peeters, R.L.M.

AU - Westra, R.l.

AU - Haddad, S.A.P.

AU - Serdijn, W.A.

PY - 2005/12

Y1 - 2005/12

N2 - Computation in the analog domain is very appealing from a power-consumption perspective. To implement a wavelet transform in an analog circuit, the wavelet function can be approximated by a linear system. An approach based on L-2-approximation is presented, that enables largely automate approximation of wavelet functions by impulse responses of linear Systems. Various continuous wavelet functions, such as the Gaussian wavelet and Daubechies wavelets of several orders, have been successfully approximated with this approach.

AB - Computation in the analog domain is very appealing from a power-consumption perspective. To implement a wavelet transform in an analog circuit, the wavelet function can be approximated by a linear system. An approach based on L-2-approximation is presented, that enables largely automate approximation of wavelet functions by impulse responses of linear Systems. Various continuous wavelet functions, such as the Gaussian wavelet and Daubechies wavelets of several orders, have been successfully approximated with this approach.

U2 - 10.1109/CDC.2005.1583436

DO - 10.1109/CDC.2005.1583436

M3 - Conference article in proceeding

SN - 0-7803-9567-0

SP - 7882

EP - 7887

BT - Proceedings of the 44th IEEE Conference on Decision and Control

PB - IEEE

T2 - 44th IEEE Conference on Decision and Control and European Control Conference 2005

Y2 - 12 December 2005 through 15 December 2005

ER -

An L2-based approach for wavelet approximation

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