Effective Calculation of Dual Frame for the Short-Time Fourier Expansion
Summary :
This paper presents effective methods to calculate dual frame of the short-time Fourier expansion (STFE) in l2(Z). Based on a relationship between the prototype window used for generating a frame and the dual prototype window used for generating a dual frame in the STFE, two useful numerical methods with a finite frame operator are proposed to obtain finite support dual frames in time domain formulation. The methods can be used to construct the multiple STFE (MSTFE) suitable for a time-frequency analysis, synthesis and coding of discrete-time nonstationary signals. Numerical simulation results are given to verify the effectiveness of the calculation of dual frame.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.5 pp.1111-1118
- Publication Date
- 2002/05/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
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Shigeo WADA, "Effective Calculation of Dual Frame for the Short-Time Fourier Expansion" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 5, pp. 1111-1118, May 2002, doi: .
Abstract: This paper presents effective methods to calculate dual frame of the short-time Fourier expansion (STFE) in l2(Z). Based on a relationship between the prototype window used for generating a frame and the dual prototype window used for generating a dual frame in the STFE, two useful numerical methods with a finite frame operator are proposed to obtain finite support dual frames in time domain formulation. The methods can be used to construct the multiple STFE (MSTFE) suitable for a time-frequency analysis, synthesis and coding of discrete-time nonstationary signals. Numerical simulation results are given to verify the effectiveness of the calculation of dual frame.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_5_1111/_p
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@ARTICLE{e85-a_5_1111,
author={Shigeo WADA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Effective Calculation of Dual Frame for the Short-Time Fourier Expansion},
year={2002},
volume={E85-A},
number={5},
pages={1111-1118},
abstract={This paper presents effective methods to calculate dual frame of the short-time Fourier expansion (STFE) in l2(Z). Based on a relationship between the prototype window used for generating a frame and the dual prototype window used for generating a dual frame in the STFE, two useful numerical methods with a finite frame operator are proposed to obtain finite support dual frames in time domain formulation. The methods can be used to construct the multiple STFE (MSTFE) suitable for a time-frequency analysis, synthesis and coding of discrete-time nonstationary signals. Numerical simulation results are given to verify the effectiveness of the calculation of dual frame.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Effective Calculation of Dual Frame for the Short-Time Fourier Expansion
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1111
EP - 1118
AU - Shigeo WADA
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2002
AB - This paper presents effective methods to calculate dual frame of the short-time Fourier expansion (STFE) in l2(Z). Based on a relationship between the prototype window used for generating a frame and the dual prototype window used for generating a dual frame in the STFE, two useful numerical methods with a finite frame operator are proposed to obtain finite support dual frames in time domain formulation. The methods can be used to construct the multiple STFE (MSTFE) suitable for a time-frequency analysis, synthesis and coding of discrete-time nonstationary signals. Numerical simulation results are given to verify the effectiveness of the calculation of dual frame.
ER -
English
