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Journal ArticleDOI

Inverse radon transform–based micro-doppler analysis from a reduced set of observations

TLDR
A method for accurate and efficient parameter estimation and decomposition of sinusoidally frequency modulated signals is presented and theory is illustrated on signals with one and more components, including noise and disturbances, as well as time-frequency patterns that deviate from sinusoidal form.
Abstract
A method for accurate and efficient parameter estimation and decomposition of sinusoidally frequency modulated signals is presented. These kinds of signals are of special interest in radars and communications. The proposed method is based on the inverse Radon transform property to transform a two-dimensional sinusoidal pattern into a single point in a two-dimensional plane. Since the signal is well concentrated (sparse) in the inverse Radon transform domain, its reconstruction can be performed from a reduced set of observations (back-projections). Theory is illustrated on signals with one and more components, including noise and disturbances, as well as time-frequency patterns that deviate from sinusoidal form.

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Citations
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Journal ArticleDOI

Separation of Overlapped Non-Stationary Signals by Ridge Path Regrouping and Intrinsic Chirp Component Decomposition

TL;DR: A novel non-parametric algorithm called ridge path regrouping (RPRG) is proposed to extract the instantaneous frequencies (IFs) of the overlapped components from a T-F representation (TFR).
Journal ArticleDOI

Time-frequency decomposition of multivariate multicomponent signals

TL;DR: The analysis shows that the multivariate signal components can be obtained as linear combinations of the eigenvectors that minimize the concentration measure in the time-frequency domain.
Journal ArticleDOI

ISAR Imaging of Maneuvering Target Based on the Quadratic Frequency Modulated Signal Model With Time-Varying Amplitude

TL;DR: Associated with the range instantaneous Doppler technique, the images quality can be enhanced distinctly compared with the conventional constant amplitude signal model.
Journal ArticleDOI

The STFT-Based Estimator of Micro-Doppler Parameters

TL;DR: The proposed technique has better performance with respect to current state-of-the-art algorithms, and it reaches the Cramer–Rao lower bound for sinusoidal frequency-modulated signal parameters.
Journal ArticleDOI

Short-Time State-Space Method for Micro-Doppler Identification of Walking Subject Using UWB Impulse Doppler Radar

TL;DR: Experimental results show that STSSM can be successfully applied to identify multiple right foot, left foot, and torso trajectories in real experimental data, thus demonstrating the capability to positively identify human motions even in a low signal-to-noise ratio environment.
References
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Book

Compressed sensing

TL;DR: It is possible to design n=O(Nlog(m)) nonadaptive measurements allowing reconstruction with accuracy comparable to that attainable with direct knowledge of the N most important coefficients, and a good approximation to those N important coefficients is extracted from the n measurements by solving a linear program-Basis Pursuit in signal processing.
Journal ArticleDOI

An Iterative Thresholding Algorithm for Linear Inverse Problems with a Sparsity Constraint

TL;DR: It is proved that replacing the usual quadratic regularizing penalties by weighted 𝓁p‐penalized penalties on the coefficients of such expansions, with 1 ≤ p ≤ 2, still regularizes the problem.
Book

Image reconstruction from projections : the fundamentals of computerized tomography

TL;DR: The fundamentals of computerized tomography computer ebook, image reconstruction from projections, and the fundamentals ofComputerized Tomography computer epub are revealed.
Journal ArticleDOI

Micro-Doppler effect in radar: phenomenon, model, and simulation study

TL;DR: In this paper, the micro-Doppler effect was introduced in radar data, and a model of Doppler modulations was developed to derive formulas of micro-doppler induced by targets with vibration, rotation, tumbling and coning motions.
Book

Time-Frequency Transforms for Radar Imaging and Signal Analysis

Victor C. Chen, +1 more
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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