Frame Operator Approach for Designing Discrete-Time Multiple Short-Time Fourier Transform and Its Time-Frequency Distribution
Summary :
This paper presents a discrete-time multiple short-time Fourier transform (MSTFT) suitable for a time-frequency analysis and synthesis of discrete-time nonstationary signals. An overcomplete set of multiple windows in used for a frame constitution in l2 (Z) so that higher quality signal analysis and perfect reconstruction of the signal are achieved. A design method for a prototype window is given where the window can satisfy regularity condition and have a flexible, good time and frequency characteristic under constraint of the uncertainty principle. A dual frame is constructed using the prototype windows in the framework of a frame operator method. Efficient implementation structures for the MSTFT and its inverse transform appropriate for real time numerical processing is presented. Simulation results are given to illustrate the effectiveness for design of the MSTFT. The performance advantages as a new signal analysis tool are demonstrated with an experimental signal.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.6 pp.977-986
- Publication Date
- 1997/06/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Signal Processing Theories and Applications Based on Modelling of Nonstationary Processes)
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Shigeo WADA, Hideki YAGI, Hiroshi INABA, "Frame Operator Approach for Designing Discrete-Time Multiple Short-Time Fourier Transform and Its Time-Frequency Distribution" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 6, pp. 977-986, June 1997, doi: .
Abstract: This paper presents a discrete-time multiple short-time Fourier transform (MSTFT) suitable for a time-frequency analysis and synthesis of discrete-time nonstationary signals. An overcomplete set of multiple windows in used for a frame constitution in l2 (Z) so that higher quality signal analysis and perfect reconstruction of the signal are achieved. A design method for a prototype window is given where the window can satisfy regularity condition and have a flexible, good time and frequency characteristic under constraint of the uncertainty principle. A dual frame is constructed using the prototype windows in the framework of a frame operator method. Efficient implementation structures for the MSTFT and its inverse transform appropriate for real time numerical processing is presented. Simulation results are given to illustrate the effectiveness for design of the MSTFT. The performance advantages as a new signal analysis tool are demonstrated with an experimental signal.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_6_977/_p
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@ARTICLE{e80-a_6_977,
author={Shigeo WADA, Hideki YAGI, Hiroshi INABA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Frame Operator Approach for Designing Discrete-Time Multiple Short-Time Fourier Transform and Its Time-Frequency Distribution},
year={1997},
volume={E80-A},
number={6},
pages={977-986},
abstract={This paper presents a discrete-time multiple short-time Fourier transform (MSTFT) suitable for a time-frequency analysis and synthesis of discrete-time nonstationary signals. An overcomplete set of multiple windows in used for a frame constitution in l2 (Z) so that higher quality signal analysis and perfect reconstruction of the signal are achieved. A design method for a prototype window is given where the window can satisfy regularity condition and have a flexible, good time and frequency characteristic under constraint of the uncertainty principle. A dual frame is constructed using the prototype windows in the framework of a frame operator method. Efficient implementation structures for the MSTFT and its inverse transform appropriate for real time numerical processing is presented. Simulation results are given to illustrate the effectiveness for design of the MSTFT. The performance advantages as a new signal analysis tool are demonstrated with an experimental signal.},
keywords={},
doi={},
ISSN={},
month={June},}
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TY - JOUR
TI - Frame Operator Approach for Designing Discrete-Time Multiple Short-Time Fourier Transform and Its Time-Frequency Distribution
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 977
EP - 986
AU - Shigeo WADA
AU - Hideki YAGI
AU - Hiroshi INABA
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1997
AB - This paper presents a discrete-time multiple short-time Fourier transform (MSTFT) suitable for a time-frequency analysis and synthesis of discrete-time nonstationary signals. An overcomplete set of multiple windows in used for a frame constitution in l2 (Z) so that higher quality signal analysis and perfect reconstruction of the signal are achieved. A design method for a prototype window is given where the window can satisfy regularity condition and have a flexible, good time and frequency characteristic under constraint of the uncertainty principle. A dual frame is constructed using the prototype windows in the framework of a frame operator method. Efficient implementation structures for the MSTFT and its inverse transform appropriate for real time numerical processing is presented. Simulation results are given to illustrate the effectiveness for design of the MSTFT. The performance advantages as a new signal analysis tool are demonstrated with an experimental signal.
ER -
English
