Analog Complex Wavelet Filters

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

doi:10.1109/ISCAS.2005.1465330

Analog Complex Wavelet Filters

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

^*Corresponding author for this work

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

Abstract

This paper presents an analog implementation of the complex wavelet transform using both the complex first order system (CFOS) and the Pade approximation. The complex wavelet filter design is based on the combination of the real and the imaginary state-space descriptions that implement the respective transfer functions. In other words, a complex filter is implemented by an ordinary state-space structure for the real part and an extra C matrix for the imaginary part. Several complex wavelets, such as Gabor, Gaussian and Morlet complex wavelets, are obtained and simulations demonstrate excellent approximations to the ideal wavelets.

Original language	English
Title of host publication	2005 IEEE International Symposium on Circuits and Systems
Publisher	IEEE
Pages	3287-3290
ISBN (Print)	0-7803-8834-8
DOIs	https://doi.org/10.1109/ISCAS.2005.1465330
Publication status	Published - May 2005
Event	IEEE International Symposium on Circuits and Systems - Kobe, Japan Duration: 23 May 2005 → 26 May 2005

Symposium

Symposium	IEEE International Symposium on Circuits and Systems
Abbreviated title	ISCAS 2005
Country/Territory	Japan
City	Kobe
Period	23/05/05 → 26/05/05

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10.1109/ISCAS.2005.1465330

http://ieeexplore.ieee.org/document/1465330/

Cite this

@inproceedings{a820ef84305345bb9fa90d85400ad284,

title = "Analog Complex Wavelet Filters",

abstract = "This paper presents an analog implementation of the complex wavelet transform using both the complex first order system (CFOS) and the Pade approximation. The complex wavelet filter design is based on the combination of the real and the imaginary state-space descriptions that implement the respective transfer functions. In other words, a complex filter is implemented by an ordinary state-space structure for the real part and an extra C matrix for the imaginary part. Several complex wavelets, such as Gabor, Gaussian and Morlet complex wavelets, are obtained and simulations demonstrate excellent approximations to the ideal wavelets.",

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

year = "2005",

month = may,

doi = "10.1109/ISCAS.2005.1465330",

language = "English",

isbn = "0-7803-8834-8",

pages = "3287--3290",

booktitle = "2005 IEEE International Symposium on Circuits and Systems",

publisher = "IEEE",

address = "United States",

note = "IEEE International Symposium on Circuits and Systems, ISCAS 2005 ; Conference date: 23-05-2005 Through 26-05-2005",

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TY - GEN

T1 - Analog Complex Wavelet Filters

AU - Haddad, S.A.P.

AU - Karel, J.M.H.

AU - Peeters, R.L.M.

AU - Westra, R.l.

AU - Serdijn, W.a.

PY - 2005/5

Y1 - 2005/5

N2 - This paper presents an analog implementation of the complex wavelet transform using both the complex first order system (CFOS) and the Pade approximation. The complex wavelet filter design is based on the combination of the real and the imaginary state-space descriptions that implement the respective transfer functions. In other words, a complex filter is implemented by an ordinary state-space structure for the real part and an extra C matrix for the imaginary part. Several complex wavelets, such as Gabor, Gaussian and Morlet complex wavelets, are obtained and simulations demonstrate excellent approximations to the ideal wavelets.

AB - This paper presents an analog implementation of the complex wavelet transform using both the complex first order system (CFOS) and the Pade approximation. The complex wavelet filter design is based on the combination of the real and the imaginary state-space descriptions that implement the respective transfer functions. In other words, a complex filter is implemented by an ordinary state-space structure for the real part and an extra C matrix for the imaginary part. Several complex wavelets, such as Gabor, Gaussian and Morlet complex wavelets, are obtained and simulations demonstrate excellent approximations to the ideal wavelets.

U2 - 10.1109/ISCAS.2005.1465330

DO - 10.1109/ISCAS.2005.1465330

M3 - Conference article in proceeding

SN - 0-7803-8834-8

SP - 3287

EP - 3290

BT - 2005 IEEE International Symposium on Circuits and Systems

PB - IEEE

T2 - IEEE International Symposium on Circuits and Systems

Y2 - 23 May 2005 through 26 May 2005

ER -

Analog Complex Wavelet Filters

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