Non-constant Q Multi-Resolution Transforms: Properties, Applications, and Fast Algorithm
Summary :
The constant-Q based wavelet transform is the most effective means of quantitatively characterizing high frequency transient signals. This study develops a novel non constant-Q based multi-resolution transform (NCQM) and provides a precision analysis descriptor for both low and high frequency transients. The properties of this novel NCQM kernel are thoroughly examined and then the striking conceptual resemblance, energy conservation characteristic, and power spectrum close forms are derived. The rapid algorithm of NCQM is also presented and its excellent performance in noisy environments is demonstrated.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.3 pp.640-647
- Publication Date
- 2002/03/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
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Yuh-Sien SUN, Hsuen-Chyun SHYU, "Non-constant Q Multi-Resolution Transforms: Properties, Applications, and Fast Algorithm" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 3, pp. 640-647, March 2002, doi: .
Abstract: The constant-Q based wavelet transform is the most effective means of quantitatively characterizing high frequency transient signals. This study develops a novel non constant-Q based multi-resolution transform (NCQM) and provides a precision analysis descriptor for both low and high frequency transients. The properties of this novel NCQM kernel are thoroughly examined and then the striking conceptual resemblance, energy conservation characteristic, and power spectrum close forms are derived. The rapid algorithm of NCQM is also presented and its excellent performance in noisy environments is demonstrated.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_3_640/_p
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@ARTICLE{e85-a_3_640,
author={Yuh-Sien SUN, Hsuen-Chyun SHYU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Non-constant Q Multi-Resolution Transforms: Properties, Applications, and Fast Algorithm},
year={2002},
volume={E85-A},
number={3},
pages={640-647},
abstract={The constant-Q based wavelet transform is the most effective means of quantitatively characterizing high frequency transient signals. This study develops a novel non constant-Q based multi-resolution transform (NCQM) and provides a precision analysis descriptor for both low and high frequency transients. The properties of this novel NCQM kernel are thoroughly examined and then the striking conceptual resemblance, energy conservation characteristic, and power spectrum close forms are derived. The rapid algorithm of NCQM is also presented and its excellent performance in noisy environments is demonstrated.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - Non-constant Q Multi-Resolution Transforms: Properties, Applications, and Fast Algorithm
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 640
EP - 647
AU - Yuh-Sien SUN
AU - Hsuen-Chyun SHYU
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2002
AB - The constant-Q based wavelet transform is the most effective means of quantitatively characterizing high frequency transient signals. This study develops a novel non constant-Q based multi-resolution transform (NCQM) and provides a precision analysis descriptor for both low and high frequency transients. The properties of this novel NCQM kernel are thoroughly examined and then the striking conceptual resemblance, energy conservation characteristic, and power spectrum close forms are derived. The rapid algorithm of NCQM is also presented and its excellent performance in noisy environments is demonstrated.
ER -
English
