Journal ArticleDOI
Estimation and classification of polynomial-phase signals
S. Peleg,Boaz Porat +1 more
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TLDR
A novel new integral transform that is adapted for signals of this type is introduced and used to derive estimation and classification algorithms that are simple to implement and that exhibit good performance.Abstract:
The measurement of the parameters of complex signals with constant amplitude and polynomial phase, measured in additive noise, is considered. A novel new integral transform that is adapted for signals of this type is introduced. This transform is used to derive estimation and classification algorithms that are simple to implement and that exhibit good performance. The algorithms are extended to constant amplitude and continuous nonpolynomial phase signals. >read more
Citations
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Journal ArticleDOI
Analysis of multicomponent LFM signals by a combined Wigner-Hough transform
TL;DR: The overall method is shown to be asymptotically efficient and offers a good rejection capability of the cross terms and a closed form expression is found for the signal-to-noise ratio and the parameter estimation accuracy.
Journal ArticleDOI
The discrete polynomial-phase transform
S. Peleg,Benjamin Friedlander +1 more
TL;DR: The authors define the discrete polynomial-phase transform, derive its basic properties, and use it to develop computationally efficient estimation and detection algorithms.
Journal ArticleDOI
Product high-order ambiguity function for multicomponent polynomial-phase signal modeling
TL;DR: The use of the PHAF offers a number of advantages with respect to the high-order ambiguity function (HAF), and removes the identifiability problem and improves noise rejection capabilities.
Journal ArticleDOI
Discrete chirp-Fourier transform and its application to chirp rate estimation
TL;DR: An upper bound for the number of the detectable chirp components using the DCFT is provided in terms of signal length and signal and noise powers, and it is shown that the N-point DCFT performs optimally when N is a prime.
Journal ArticleDOI
The Cramer-Rao lower bound for signals with constant amplitude and polynomial phase
S. Peleg,Boaz Porat +1 more
TL;DR: The authors derive the Cramer-Rao lower bound (CRLB) for complex signals with constant amplitude and polynomial phase, measured in additive Gaussian white noise, which is found to be excellent in most cases.
References
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Journal ArticleDOI
Single tone parameter estimation from discrete-time observations
D. Rife,R. Boorstyn +1 more
TL;DR: Estimation of the parameters of a single-frequency complex tone from a finite number of noisy discrete-time observations is discussed and appropriate Cramer-Rao bounds and maximum-likelihood estimation algorithms are derived.
Journal ArticleDOI
The Cramer-Rao lower bound for signals with constant amplitude and polynomial phase
S. Peleg,Boaz Porat +1 more
TL;DR: The authors derive the Cramer-Rao lower bound (CRLB) for complex signals with constant amplitude and polynomial phase, measured in additive Gaussian white noise, which is found to be excellent in most cases.
Journal ArticleDOI
Linear FM signal parameter estimation from discrete-time observations
S. Peleg,Boaz Porat +1 more
TL;DR: In this article, the authors considered the problem of estimating the parameters of a complex linear FM signal from a finite number of noisy discrete-time observations, and proposed an estimation algorithm consisting of two fast Fourier transforms (FFTs) accompanied by one-dimensional searches for maxima.