Journal Article10.1049/IET-SPR.2009.0059
Multiwindow S-method for instantaneous frequency estimation and its application in radar signal analysis
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TL;DR: In this article, a new distribution that provides high concentration in the time-frequency domain is proposed, based on the S-method and multi-window approach, where different order Hermite functions are employed as multiple windows.
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Abstract: A new distribution that provides high concentration in the time-frequency domain is proposed. It is based on the S-method and multiwindow approach, where different order Hermite functions are employed as multiple windows. The resulting distribution will be referred to as the multiwindow S-method. It preserves favourable properties of the standard S-method, whereas the distribution concentration is improved by using Hermite functions of just a few first orders. The proposed distribution is appropriate for radar signal analysis, as it will be proven by experimental examples.
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Citations
Matching Demodulation Transform and SynchroSqueezing in Time-Frequency Analysis
TL;DR: The authors introduce an iterative algorithm, called matching demodulation transform (MDT), to generate a time-frequency (TF) representation with satisfactory energy concentration, and the MDT-based synchrosqueezing algorithm is described to further enhance the concentration and reduce the diffusion of the curved IF profile in the TF representation of original syn chrosquEEzing transform.
286
Instantaneous frequency in time–frequency analysis: Enhanced concepts and performance of estimation algorithms
Ljubisa Stankovic,Igor Djurovic,Srdjan Stankovic,Marko Simeunovic,Slobodan Djukanovic,Milos Dakovic +5 more
TL;DR: Some of the most important developments in the last two decades related to the concept of the IF, performance analysis ofIF estimators, and development of IF estimators for low SNR environments are reviewed.
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Multi-component instantaneous frequency estimation using locally adaptive directional time frequency distributions
Nabeel Ali Khan,Boualem Boashash +1 more
TL;DR: In this article, a high-resolution adaptive directional time-frequency distribution (ADTFD) is defined by locally adapting the direction of its smoothing kernel at each t,f point.
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Nonlinear squeezing time-frequency transform for weak signal detection
TL;DR: Theoretical analysis shows that the NSTFT method is independent of the signal amplitude and is only relevant to the signal phase, thus it can be used for weak signal detection.
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Boualem Boashash
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TL;DR: The concept of instantaneous frequency (IF), its definitions, and the correspondence between the various mathematical models formulated for representation of IF are discussed in this paper, and the extent to which the IF corresponds to the intuitive expectation of reality is also considered.
•Book
Time-Frequency Transforms for Radar Imaging and Signal Analysis
Victor C. Chen,Hao Ling +1 more
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TL;DR: This work presents a meta-analysis of radar electronic backscattering radar signals radar ambiguity function and matched filter synthetic aperture radar imaging, which highlights the importance of time-frequency transforms for radar applications.
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A method for time-frequency analysis
TL;DR: This method provides some substantial advantages over the Wigner distribution, including the fact that the well-known cross term effects are reduced or completely removed, and the computation time can be significantly shorter.
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