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Nonnegative time-frequency distributions for parametric time-frequency representations using semi-affine transformation group
Zou, HX; Wang, DJ; Zhang, XD; Li, YD
Source PublicationSIGNAL PROCESSING
2005-09-01
Volume85Issue:9Pages:1813-1826
SubtypeArticle
AbstractThis paper proposes a method for calculating a nonnegative time-frequency distribution (TFD) whose concentration is identical to that of Wigner-Ville distribution ( WD) when instantaneous frequencies (IFs) of the best-matched elementary functions of the signal under analysis are pre-estimated. This method is based on a special class of transformation group, referred to as semi-affine transformation (SAT) group. The essence of this method is to create a joint distribution by translating the values of WVDs of Morlet wavelet to the positions around IFs of the best-matched elementary functions. Theoretical predictions and numerical results indicate that the proposed strategy can result in the most visually appealing TFDs for highly nonstationary signals. (C) 2005 Elsevier B.V. All rights reserved.
KeywordNonnegative Time-frequency Distribution Wigner-ville Distribution Fm(m)Let Transform Dopplerlet Transform Semi-affine Transformation (Sat) Group Instantaneous Frequency Parametric Atomic Decomposition Matching Pursuit
WOS HeadingsScience & Technology ; Technology
WOS KeywordWIGNER-VILLE DISTRIBUTIONS ; HIGHER-ORDER SPECTRA ; FM(M)LET TRANSFORM ; NONSTATIONARY SIGNALS ; ATOMIC DECOMPOSITION ; CHIRPLET TRANSFORM ; PURSUIT
Indexed BySCI
Language英语
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000230803200010
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9175
Collection09年以前成果
Affiliation1.Tsing Hua Univ, Dept Automat, Beijing 100084, Peoples R China
2.Tsing Hua Univ, State Key Lab Intelligent Technol & Syst, Beijing 100084, Peoples R China
3.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
4.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Recommended Citation
GB/T 7714
Zou, HX,Wang, DJ,Zhang, XD,et al. Nonnegative time-frequency distributions for parametric time-frequency representations using semi-affine transformation group[J]. SIGNAL PROCESSING,2005,85(9):1813-1826.
APA Zou, HX,Wang, DJ,Zhang, XD,&Li, YD.(2005).Nonnegative time-frequency distributions for parametric time-frequency representations using semi-affine transformation group.SIGNAL PROCESSING,85(9),1813-1826.
MLA Zou, HX,et al."Nonnegative time-frequency distributions for parametric time-frequency representations using semi-affine transformation group".SIGNAL PROCESSING 85.9(2005):1813-1826.
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