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Proceedings ArticleDOI

Detection and estimation of the instantaneous frequency of polynomial-phase signals by multilinear time-frequency representations

Sergio Barbarossa
- pp 168-172
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TLDR
In this paper, a class of multilinear time-frequency signal representations was proposed for the detection and parameter estimation of signals characterized by a slowly varying complex envelope and a polynomial instantaneous phase.
Abstract
Proposes a class of multilinear time-frequency signal representations particularly useful for the detection and parameter estimation of signals characterized by a slowly varying complex envelope and a polynomial instantaneous phase. The main characteristics of the proposed representation is that it allows one to set up a sequential estimation procedure for estimating the coefficients of the signal instantaneous frequency. The performance of the method are given in terms of receiver operating characteristics and parameter estimation accuracy. >

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Citations
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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

Mapping of a major genetic modifier of embryonic lethality in TGF beta 1 knockout mice.

TL;DR: It is shown that the Tgfb1−/− phenotype depends on the genetic background of the conceptus, and this approach, using neonatal DNA samples, is generally applicable to identification of loci that influence the effect of early embryonic lethal mutations, thus furthering knowledge of genetic interactions that occur during early mammalian development in vivo.
Journal ArticleDOI

Analysis of polynomial-phase signals by the integrated generalized ambiguity function

TL;DR: The proposed method for the detection and parameter estimation of mono or multicomponent polynomial-phase signals embedded in white Gaussian noise and based on a generalized ambiguity function is shown to be asymptotically efficient for second-order PPS and nearly asymptic efficient for third- order PPSs.
Journal ArticleDOI

Estimating random amplitude polynomial phase signals: a cyclostationary approach

TL;DR: A novel approach is proposed for the estimation of the time-varying phase of a class of nonstationary signals by exploiting the higher order cyclostationarity of these signals to yield consistent estimates for the parameters.
References
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Journal ArticleDOI

Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals

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.
Journal ArticleDOI

Linear and quadratic time-frequency signal representations

TL;DR: A tutorial review of both linear and quadratic representations is given, and examples of the application of these representations to typical problems encountered in time-varying signal processing are provided.
Proceedings ArticleDOI

A combined Wigner-Ville and Hough transform for cross-terms suppression and optimal detection and parameter estimation

TL;DR: An attempt is made to show that the combined use of the Wigner-Ville distribution and the Hough transform provides an important tool for mapping the signals onto a parameter space where the detection and parameter estimation problems can be made easier.
Proceedings ArticleDOI

Time-varying higher-order spectra, generalised Wigner-Ville distribution and the analysis of underwater acoustic data

TL;DR: The generalized WVD is defined by extension so as to achieve ideal energy concentration for higher order phase laws, and by taking the expected value of the GWVD, time-varying higher-order spectra can be defined.
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