The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Some features of time-frequency representations of multicomponent signals
Abstract
The Wigner-Ville Distribution (WVD) is now known to be a convenient tool for the time-frequency analysis of non-stationary signals, and especially monocomponent ones. However, in the case of multicomponent signals, its bilinear structure is also known to create cross-terms without any physical significance. Starting with the general formulation of time-frequency representations, which only depend on an arbitrary kernel function, we first characterize properties of such cross-terms and then propose appropriate smoothings of the WVD in order to reduce their influence. Such suitable and versatile approximations are compared on synthetic and natural signals and an extension to time-frequency filtering is proposed.
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“The STFT family provides cross-term free time-frequency representations.”
From Short-time fourier transform: two fundamental properties and an optimal implementation (2003) · cites this paper as [10]
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Cites
Generalized Phase-Space Distribution Functions
Cohen, L. W. (1966) · Journal of Mathematical Physics · doi:10.1063/1.1931206 · Cited by 1,102
Semi-classical mechanics in phase space: A study of Wigner’s function
Berry, M. (1977) · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · doi:10.1098/rsta.1977.0145 · Cited by 581
Detection, estimation, and classification with spectrograms
Altes, R. A. (1980) · The Journal of the Acoustical Society of America · doi:10.1121/1.384165 · Cited by 264
Time-Frequency Distributions of Loudspeakers: The Application of the Wigner Distribution
Janse, C. P., & Kaizer, A. J. (1983) · Journal of the Audio Engineering Society · Cited by 102
An interpretation of the Pseudo-Wigner-Ville distribution
Flandrin, P., & Escudié, B. (1984) · Signal Processing · doi:10.1016/0165-1684(84)90048-3 · Cited by 60
Self-citationFlandrin, P., & Escudié, B. (1980) · Signal Processing · doi:10.1016/0165-1684(80)90001-8 · Cited by 40
Self-citation
Research works printed but not linked: 10
- martin, 1983, Proceedings EUSIPCO-83
- kodera, 1978, IEEE Trans, assp 26, 64
- escudi�, 1979, Ann des T�l�comm, 34, 3
- escudi�, 1983, Rapport Interne
- janse, 1983, J Audio Eng Soc, 31, 198
- jacobson, 1983, Proc ICASSP-83
- escudi�, 0, (1976) Comptes Rendus A, 283, 1049
- flandrin, 1981, Proc 8�me Coll GRETSI, 69
- claasen, 1980, Philips J Res, 35, 217
- boulogne, 1983, Proc 9�me Coll GRETSI, 1029
Cited by
Sorted by citations
Items 201–238 of 238
Postolache, O. A., Miguel, J., & Girão, P. S. (2011) · InTech eBooks · doi:10.5772/15487
A high-performance dual domain estimator for time-varying signal analysis
Wilbur, J., & Adams, D. O. (2003) · Southeastern Symposium on System Theory (SSST) · doi:10.1109/ssst.1989.72520
Time‐Frequency Energy Distributions: An Introduction
Flandrin, P. (2008) · doi:10.1002/9780470611203.ch1
Self-citationInvestigation of New Time-Frequency Analyses for Acoustic Transients.
Williams, W. J. (1995) · doi:10.21236/ada300339
Fast implementation of time-frequency representations modified by the reassignment method
Richard, C., & Lengelle, R. (2002) · International Conference on Signal Processing · doi:10.1109/icsigp.1996.567268
The use of late time response for stand off onbody concealed weapon detection
Atiah, A. (2026) · e-space (Manchester Metropolitan University) · doi:10.83056/mmu.32434218
An improved computation of the pseudo Wigner‐Ville distribution and its applications
Lu, F., & Tu, C. (1996) · Journal of the Chinese Institute of Engineers · doi:10.1080/02533839.1996.9677770
A robust narrowband transient signal detector
Rao, P. (1991) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.1991.150733
Boashash, B. (1993) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.160425
On cross-components in the Wigner distribution
Sun, M., Sclabassi, R. J., & Li, C. C. (2002) · IEEE International Conference on Systems Engineering · doi:10.1109/icsyse.1990.203211
Time-Frequency Feature Extraction from Residues of Voiced Phonemes
de Payer, E. V. (2004) · IEEE Latin America Transactions · doi:10.1109/tla.2004.1468648
Consistent time-frequency representations
Roberts, D. S., & Jones, D. L. (2004) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.2003.1201714
Time-frequency distributions as exploratory tools in the study of biological signals
Williams, W. J. (2002) · Asilomar Conference on Signals, Systems and Computers (ACSSC) · doi:10.1109/acssc.1994.471479
Sectioning property of long logical convolution
Kim, K. I. (1988) · IEEE Transactions on Acoustics Speech and Signal Processing · doi:10.1109/29.1608
An SPWD-based instrument for accurate spectral analyses
Andria, G., Sabia, N., & Savino, M. (2002) · Conference proceedings - IEEE Instrumentation/Measurement Technology Conference · doi:10.1109/imtc.1994.351998
Alias-Free Generalized Discrete-Time
Jeong, J., & Williams, W. J. (1992)
Time-Scale Energy Distributions: A General Class
Rioul, O., & Flandrin, P. (1992)
Self-citationExtracción de Características en Tiempo- Frecuencia de Residuos de Fonemas Sonoros
de Payer, E. V. (2004)
Vectorisation du calcul de la distribution de Wigner-Ville discrète sur Cyber 205
Peyrin, F., Goutte, R., & Courteille, F. (1986) · HAL
periodic and aperiodic versions
Zhu, Y., Cnrs, U., & Peyrin, F. (1990)
Alqadah, H. F. (2007) · OhioLink ETD Center (Ohio Library and Information Network)
New Time-frequency Distribution
Pei, S., & Tsai, E.-J. (2005) · IEEE International Symposium on Circuits and Systems proceedings · doi:10.1109/iscas.1993.692616
(2003) · Elsevier eBooks · doi:10.1016/b978-008044335-5/50038-3
Design and Performance Analysis of Short Time Fourier Transform Processor
Neralla, M. (2022) · International Journal for Research in Applied Science and Engineering Technology · doi:10.22214/ijraset.2022.41917
Signal Analysis In The Ambiguity Domain
Sugavaneswaran, L. (2021) · doi:10.32920/ryerson.14663475.v1
Signal Analysis In The Ambiguity Domain
Sugavaneswaran, L. (2021) · doi:10.32920/ryerson.14663475
New time-frequency distribution
Pei, S.-C., & Tsai, E.-J. (2002) · IEEE International Symposium on Circuits and Systems proceedings · doi:10.1109/iscas.1993.393693
(1990) · Elsevier eBooks · doi:10.1016/b978-0-12-741245-0.50017-8
Metasurface stealth target detection based on time-frequency correlation matching
Wan, M., Li, J., & Bai, Y. (2024) · International Conference on Signal Processing Systems (ICSPS) · doi:10.1117/12.3023288
Time-Frequency Analysis for Non-Stationary Time Series Based on Adaptive Window
Luo, Y., & Xu, X. (2024) · International Conference on Information Technology, Communication Ecosystem and Management (ITCEM) · doi:10.1109/itcem65710.2024.00033
Lopac, N., Lerga, J., & Hržić, F. (2025) · Springer Series in Astrophysics and Cosmology · doi:10.1007/978-981-96-1737-1_17
Metadata
- Authors
- Flandrin, P.
- Corresponding author
- Flandrin, P.
- ORCID
- Flandrin, P.
- Venue
- ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing
- Published
- 2005-03-24
- Volume
- 9
- Pages
- 266-269
- ISSN
- 1520-6149 (ISSN-L)
- OpenAlex
- W1925346143
- Cited by
- 239
- References
- 6
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 5 · 2023: 6 · 2022: 5 · 2021: 3 · 2020: 2 · 2019: 3 · 2018: 3 · 2017: 1 · 2016: 2 · 2015: 4 · 2014: 3 · 2013: 2 · 2012: 2
- FWCI
- 26.53
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- IEEE International Conference on Acoustics Speech and Signal Processing (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Physical Sciences › Computer Science › Signal Processing › Sparse and Compressive Sensing Techniques
- Physical Sciences › Computer Science › Signal Processing › Music and Audio Processing
- Keywords
- Wigner-Ville distribution, multicomponent signals, cross terms, time-frequency representation, kernel functions, time-frequency filtering, non-stationary signals
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