Product high-order ambiguity function for multicomponent polynomial-phase signal modeling

Barbarossa, Sergio; Scaglione, Anna; Giannakis, Georgios B.

doi:10.1109/78.661336

Cited by 339 publications

(265 citation statements)

References 26 publications

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Section: Resultsmentioning

confidence: 99%

“…The proposed method utilizes the micro-multipath Doppler signatures due to earth m }, m = 0, ..., M (see e.g., [21,22] and references therein). Below, we briefly summarize the concept of IF estimation based on multi-lag high-order ambiguity function (mlHAF) [22], which was developed based on the HAF, or polynomial phase transform, concept presented in [21]. Define the Mth-order multi-lag high-order instantaneous moment (mlHIM) of signal s(t) as: Now, we consider a single-component non-stationary signal which is characterized by its IF, but the IF law is rather complicated and is difficult to be represented by a PPS with a reasonable polynomial order.…”

Section: Resultsmentioning

confidence: 99%

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Instantaneous altitude estimation of maneuvering target in over-the-horizon radar exploiting multipath Doppler signatures

Zhang

Amin

et al. 2013

EURASIP J. Adv. Signal Process.

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Over-the-horizon radar systems are capable of localizing targets in range and azimuth but are unable to achieve reliable altitude estimation. Past work has shown that the time-varying Doppler signatures of micro-multipath signals provide rich information for reliable estimation of altitude changes. In this paper, we develop a new technique for the estimation of instantaneous altitude of maneuvering targets by exploiting the estimated multicomponent Doppler signatures. A key contribution of this paper is to apply effective non-stationary signal analysis techniques for estimating the time-varying Doppler signature of each individual multipath. This enables reliable target altitude estimation in an extended Kalman filter setup. The maximum a-posteriori criterion is used for the estimation of initial target states.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Instantaneous altitude estimation of maneuvering target in over-the-horizon radar exploiting multipath Doppler signatures

Zhang

Amin

et al. 2013

EURASIP J. Adv. Signal Process.

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“…In our context, the short time polynomial phase modeling of order 3 is given by Product High Order Ambiguity Function (PHAF) [6]. This analysis is done in adjacent windows, half-overlapped, as illustrated in the figure 2.…”

Section: Fig 1 Signal With Three Non-linear T-f Componentsmentioning

confidence: 99%

Time-frequency-phase tracking approach : Application to underwater signals in a passive context

Ioana

Mars

Șerbănescu

et al. 2010

2010 IEEE International Conference on Acoustics, Speech and Signal Processing

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One of the most challenging applications of time-frequency representations deals with the analysis of the signal issued from natural environment. Recently, the interest for passive underwater context increased, basically due to the richness of the information carried out by the natural signals. Taken into account the non-linear multi-component time-frequency behavior of such signals, their analysis is a complex problem. In this paper we introduce a new time-frequency analysis concept that aims to extract the non-linear timefrequency components. The main feature of this technique is the joint use of time-amplitude, time-frequency and timephase information. This is materialized by a short-time polynomial phase modeling and the fusion of local information according to the best locally matches of local cubic frequency modulations. Tests provided on real data illustrate the benefits of the proposed approach.

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“…The instantaneous amplitude and frequency of the signals are frequently presented as time-varying functions [7][8][9][10][11][12][13][14][15] where polynomial function models have been assigned to the signal phase. In [12], Francos and Porat's algorithm combined a time-frequency distribution of a minimum-cross-entropy with the Higher Ambiguity Function (HAF) [7] to achieve the model parameter estimation.…”

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confidence: 99%

Estimation of the instantaneous amplitude and frequency of non-stationary short-time signals

et al. 2008

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We consider the modeling of non-stationary discrete signals whose amplitude and frequency are assumed to be nonlinearly modulated over very short-time duration.We investigate the case where both instantaneous amplitude and frequency can be approximated by orthonormal polynomials.Previous works dealing with polynomial approximations refer to orthonormal bases built from a discretization of continuous-time orthonormal polynomials. As this leads to a loss of the orthonormal property, we propose to use discrete orthonormal polynomial bases: the discrete orthonormal Legendre polynomials and a discrete base we have derived using Gram-Schmidt procedure. We show that in the context of short-time signals the use of these discrete bases leads to a significant improvement in the estimation accuracy. we propose to apply a stochastic optimization technique based on the simulated annealing algorithm. The problem can also be considered as a Bayesian estimation which leads us to apply another stochastic technique based on Monte Carlo MarkovChains. We propose to use a Metropolis Hastings algorithm. Both approaches need an algorithm parameter tuning that we discuss according our application context.Monte Carlo simulations show that the results obtained are close to the CramerRao bounds we have derived. We show that the first approach is less biased than the second one. We also compared our results with the Higher Ambiguity Functionbased method. The methods proposed outperform this method at low signal to noise ratios in terms of estimation accuracy and robustness. Both proposed approaches are of a great utility when scenarios in which signals having a small sample size are nonstationary at low signal to noise ratios. They provide accurate system descriptions which are achieved with only a reduced number of basis functions.

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Product high-order ambiguity function for multicomponent polynomial-phase signal modeling

Cited by 339 publications

References 26 publications

Instantaneous altitude estimation of maneuvering target in over-the-horizon radar exploiting multipath Doppler signatures

Instantaneous altitude estimation of maneuvering target in over-the-horizon radar exploiting multipath Doppler signatures

Time-frequency-phase tracking approach : Application to underwater signals in a passive context

Estimation of the instantaneous amplitude and frequency of non-stationary short-time signals

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