Gilles Chabriel

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This paper adresses the problem of the joint zero-diagonalization of a given set of matrices. We establish the identiflability conditions of the zero-diagonalizer, and we propose a new algebraical algorithm based on the reformulation of the initial problem into a joint-diagonalization problem. The zero-diagonalizer is not constrained to be unitary. Computer(More)
While a pair of <i>N</i> &#x00D7; <i>N</i> matrices can almost always be exactly and simultaneously diagonalized by a generalized eigendecomposition, no exact solution exists in the case of a set with more than two matrices. This problem, termed approximate joint diagonalization (AJD), is instrumental in blind signal processing. When the set of matrices to(More)
This paper deals with the modeling and the identification of mixtures of multiple propagating waves recorded by a compact set of sensors. These mixtures, depending on attenuation coefficients and propagating delays, are represented as instantaneous mixtures of different temporal derivatives of sources generating the waves. These derivatives act as new(More)
Matrix decompositions such as the eigenvalue decomposition (EVD) or the singular value decomposition (SVD) have a long history in signal processing. They have been used in spectral analysis, signal/noise subspace estimation, principal component analysis (PCA), dimensionality reduction, and whitening in independent component analysis (ICA). Very often, the(More)
This paper addresses the problem of non-symmetrical joint zero-diagonalization (NSJZD) of a given set of matrices and its use in user interference cancellation for a new multiple-access multiple-input multiple-output (MIMO) wireless transmission scheme. First, sufficient conditions for uniqueness of the non-symmetrical zero-diagonalizer are described, and(More)
With the increased importance of the CP decomposition (CANDECOMP/PARAFAC decomposition), efficient methods for its calculation are necessary. In this paper we present an extension of the SECSI (SEmi-algebraic framework for approximate CP decomposition via SImultaneous matrix diagonalization) that is based on new non-symmetric SMDs (Simultaneous Matrix(More)
In broadband OFDM wireless communications, data symbol detection commonly requires a pilot-aided frequency channel estimation. A partial estimate is first computed from known symbols (pilots), frequencially multiplexed into the data. Estimation over the full bandwidth is then performed by frequency interpolation. In a multipath context, a strong fading(More)
This paper addresses the problem of mobile target detection in multipath scenarios with a passive radar using DVB-T transmitters of opportunity. For such emissions, it has been shown the interest in implementing &#x201C;mismatched&#x201D; correlators, reducing both the zero Doppler contribution (ZDC) masking effects and the false alarm rate. A very(More)
In this paper, we study the blind separation of mixtures of propagating waves (delayed sources) encountered for example in underwater telephone (UWT) systems. We suggest a new second-order statistics method using as many observations as sources. First, we show that each of the N delayed sources can be developed as a particular linear combination of the(More)
CPM-based radar waveforms for efficiently bandlimiting a transmitted spectrum. In Proceedings of the IEEE Radar Conference, Pasadena, CA, May 4—8, 2009, 1—6. [5] Harris, F. J. On the use of windows for harmonic analysis with the discrete Fourier transform. Proceedings of the IEEE, 66, 1 (1978) 51—83. [6] Gerlach, K. Thinned spectrum ultrawideband waveforms(More)