Fast parameter estimation algorithm for cubic phase signal based on quantifying effects of doppler frequency shift
TL;DR: A fast parameter estimation algorithm (DMNUFFT), based on dechirp method and nonuniform fast Fourier transform (NuffT), is proposed and can achieve high performance with relatively low computational cost.
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Abstract: For the chirp rate and its change rate estimation of cubic phase signal (CPS), conventional algorithms cannot achieve a trade-ofi between low computational cost and high performance. In this paper, by utilizing the numerical computational method (NCM), efiects of Doppler frequency shift are quantifled, and the relationships of the optimal signal length with the chirp rate and change rate of chirp rate are obtained. Then a fast parameter estimation algorithm (DMNUFFT), based on dechirp method (DM) and nonuniform fast Fourier transform (NUFFT), is proposed. Compared with existing algorithms, DMNUFFT can achieve high performance with relatively low computational cost. The performance analyses and an application to inverse synthetic aperture radar (ISAR) imaging are shown to validate the efiectiveness of DMNUFFT.
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Citations
ISAR Imaging of Targets With Complex Motion Based on the Chirp Rate–Quadratic Chirp Rate Distribution
TL;DR: A novel distribution of the CPS, known as the CR-QCR distribution (CRQCRD), is presented and applied in a newly proposed ISAR imaging algorithm for targets with complex motion, which can acquire higher antinoise performance and no error propagation.
152
Cubic phase function
TL;DR: An overview of the cubic phase function (CPF) as a tool proposed for both parametric and nonparametric estimation of the frequency modulated (FM) and in particular polynomial phase signals (PPS) is provided.
80
Review of the quasi-maximum likelihood estimator for polynomial phase signals
Igor Djurovic,Marko Simeunovic +1 more
TL;DR: Generalization of the QML approach to the direction-of-arrival (DOA) of the PPS signals impinging on the sensor array network with some open issues in the Q ML theory and applications are addressed.
52
ISAR Imaging of Targets With Complex Motions Based on Modified Lv’s Distribution for Cubic Phase Signal
TL;DR: Compared to three representative estimation algorithms for the CPS, the modified Lv's distribution (MLVD) can acquire a higher antinoise performance and eliminate the brute-force searching without the interpolation.
52
ISAR Imaging of Targets With Complex Motions Based on a Noise-Resistant Parameter Estimation Algorithm Without Nonuniform Axis
TL;DR: An effective parameter estimation algorithm is proposed for multicomponent CPSs and applied to reconstruct the RID image for targets with complex motions and can eliminate the brute-force searching procedure and acquire a higher anti-noise performance without the nonuniform axis.
44
References
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Peter O'Shea
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TL;DR: A fast algorithm that can be used for estimating the parameters of a quadratic frequency modulated (FM) signal and is seen to be optimal, whereas the phase parameters are, in general, suboptimal.
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A fast algorithm for estimating the parameters of a quadratic FM signal
TL;DR: In this article, a fast algorithm for estimating the parameters of a quadratic frequency modulated (FM) signal is proposed. But the algorithm requires only one-dimensional (1-D) maximizations, which can only be realized with an exhaustive 3D grid search.
A new technique for instantaneous frequency rate estimation
TL;DR: In this paper, a bilinear mapping operator referred to as the cubic phase (CP) function is introduced, where the energy of the CP function is concentrated along the frequency rate law of the signal.