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Laura Rebollo-Neira

Research Interests

Mathematical Analysis and Methods with applicability to Signal Processing.

• Applied Harmonic Analysis.
• Sparse Representations.
• Non-Linear Approximations.
• Generalized Sampling and Projections.
• Non-orthogonal Wavelet and Gabor Expansions.
• Redundant Representations and Frame Theory.
• Mathematical Methods for Inverse Problems.

EPSRC Funded Projects

EPSRC (GR/R86355/01) Biorthogonal techniques for optimal signal representation. This project finished in Feb 2006.

EPSRC (EP/D062632/1) Highly nonlinear approximations for sparse signal representation .

Book Chapter

L. Rebollo-Neira On non-orthogonal signal representation .
in New Topics in Mathematical Physics Reseach, Nova Science Publishers (2006) .

Online Journal Papers

• L. Rebollo-Neira, Z. Xu, Sparse signal representation by adaptive non-uniform B-spline dictiona ries on a compact interval.
  Signal Processing, doi:10.1016/j.sigpro.2010.02.004 (2010).
• Z. Xu, L. Rebollo-Neira, A. Plastino Subspace modelling for structured noise suppression.
  Physica A, doi:10.1016/j.physa.2010.01.031 (2010).
• L. Rebollo-Neira, Measurements design and phenomena discrimination.
  Journal of Physics A: Mathematical and Theoretical, Vol(42), 165210 (2009).
• L. Rebollo-Neira, A. Plastino, Nonlinear non-extensive approach for identification of structured information.
  Physica A, doi:10.1016/j.physa.2009.08.003 (2009).
• M. Andrle, L. Rebollo-Neira, From cardinal spline wavelet bases to highly coherent dictionaries.
  Journal of Physics A: Mathematical and Theoretical Vol (41), 172001 (2008).
• L. Rebollo-Neira, Oblique Matching Pursuit
  math.FA/0610904 IEEE Signal Processing Letters, Vol(14,10), 703-707 (2007).
• L. Rebollo-Neira, Constructive updating/downdating of oblique projectors: a generalization of the Gram-Schmidt process
  math.FA/0610094 Journal of Physics A: Mathematical and Theoretical , Vol(40), 6381-6394 (2007).
• M. Andrle, L. Rebollo-Neira, Experiments on orthogonalization by biorthogonal representations of orthogonal projectors.
  Journal of Computational and Applied Mathematics , Vol (205), 545-551 (2007).
• L. Rebollo-Neira, A. Plastino, Statistical distribution, host for encrypted information.
  Physica A ,Vol (359), 213-221(2006).
• M. Andrle, L. Rebollo-Neira, A swapping-based refinement of orthogonal matching pursuit strategies.
  Signal Processing, special issue on "Sparse Approximations in Signal and Image Processing", Vol (86,3), 480-495 (2006).
• L. Rebollo-Neira, S. Jain On the truncation of the harmonic oscillator wavepacke.
  J. Phys. A: Math. Gen. , Vol(38, 17), L293-L299, (2005).
• M. Andrle, L. Rebollo-Neira, Cardinal B-spline dictionaries on a compact interval.
  Applied and Computational Harmonic Analysis , Vol 18, No 3 336-346 (2005).
• L. Rebollo-Neira, A. Plastino, Constructive approximations to the q=1/2 maximum entropy distribution from redundant and noisy data.
  Phys. Rev. E,Vol (70,2), (2004).
• M. Andrle, L. Rebollo-Neira, E. Sagianos, Backward-Optimized Orthogonal Matching Pursuit Approach .
  IEEE Signal Processing Letters , Vol(11,9), 705-708 (2004).
• J. R. Miotke, L. Rebollo-Neira, Oversampling of Fourier Coefficients for Hiding Messages .
  Applied and Computational Harmonic Analysis , Vol(16,3), 203-207 (2004).
• L. Rebollo-Neira, Backward Adaptive Biorthogonalization .
  Int. J. Math. Math. Sci. , Vol(2004,35), 1843-1853 (2004).
• L. Rebollo-Neira, Dictionary redundancy elimination .
  IEE Proceedings - Vision, Image and Signal Processing , Vol(151,1), 31-34 (2004).
• L. Rebollo-Neira, A. Plastino, A recursive approach for constructing the q=1/2 MaxEnt distribution from redundant data.
  Phys. Rev. E,Vol (66, 3), (2002).
• L. Rebollo-Neira, Recursive bi-orthogonalisation approach and orthogonal projectors.
  math-ph/0209026 (2002), Also in Progress in Mathematical Physics, Nova Science Publishers, , to be publised.
• L. Rebollo-Neira, D. Lowe, Optimised Orthogonal Matching Pursuit Approach.
  IEEE Signal Processing Letters, Vol(9,4), 137-140, (2002).
• L. Rebollo-Neira, A. Plastino, Nonextensive maximum-entropy-based formalism for data subset selection.
  Phys. Rev. E, Vol(65,1), 11113-11119, (2002).
• L. Rebollo-Neira, Frames in two dimensions arising from wavelet transforms.
  Proceedings of the Royal Society A, Vol (457, 2013), 2079-2091. (2001).
• L. Rebollo-Neira, Frames of cross ambiguity functions.
  IEEE Signal Processing Letters, Vol (7, 10) 293-296, (2000).
• L. Rebollo-Neira, A. Plastino, J. Fernandez-Rubio, Reconstruction of the joint time-delay and Doppler-scale reflectivity density in the wideband regimen. A frame theory approach.
  Journal of Mathematical Physics, Vol(41, 8), 5325-5341, (2000).
• L. Rebollo-Neira, A. Plastino, A Frame Theory based approach for determining the Time-Frequency distribution characterizing a dense group of reflecting objects.
  Journal of the Optical Society of America A, Vol(17,6), 1077-1085, (2000).
• L. Rebollo-Neira, A. Plastino, The cross Wigner distribution as a generator of frames on the Euclidean plane from frames on the real line.
  Journal of Physics A, Vol(33, 15), 3053-3061, (2000).
• L. Rebollo-Neira, J. Fernandez-Rubio, The Continuous Wavelet Transform as a Maximum Entropy solution of the corresponding inverse problem.
  IEEE Trans. Signal Processing, Vol(47, 7), 2046-2050, (1999).
• L. Rebollo-Neira, J. Fernandez Rubio, On The Inverse Windowed Fourier Transform.
  IEEE Trans. Information Theory , Vol(45, 7), 2668-2671, (1999).
• L. Rebollo-Neira, A. G. Constantinides, T. Stathaki, Signal Representation for Compression and Noise Reduction through Frame-Based Wavelets.
  IEEE Trans. Signal Processing, Vol(46,3), 587-597, (1998).
• L. Rebollo-Neira, A. Plastino, J. Fernandez-Rubio, On the q=1/2 non-extensive maximum entropy distribution.
  Physica A Vol(258), 458-465, (1998).
• L. Rebollo-Neira, A. Plastino, J. Fernandez-Rubio, A non-extensive maximum entropy based regularization method for bad conditioned inverse problems.
  Physica A, Vol(261), 555-568, (1998).
• L. Rebollo-Neira, A. G. Constantinides, A. Plastino, A. Alvarez, R Bonetto, M. Iniguez Rodriguez, Statistical Analysis of a Mixed-Layer x Ray Diffraction Peak.
  Journal of Physics D, Vol(30, 17), 2462-2469, (1997).
• L. Rebollo-Neira, J. Fernandez-Rubio, On Wideband Deconvolution using Wavelet Transforms.
  IEEE Signal Processing Letters, Vol(4), 207-209, (1997).
• L. Rebollo-Neira, J. Fernandez-Rubio, A. Plastino, Frames: a Maximum Entropy Statistical Estimate of the Inverse Problem.
  Journal of Mathematical Physics, Vol( 38,9), 4863-4871, (1997).
• L. Rebollo-Neira, A. G. Constantinides, Power Spectrum Estimation from Noisy and Limited Autocorrelation Values. A Maximum Entropy Approach.
  Signal Processing, Vol(56), 135-147, (1997).
• L. Rebollo-Neira, A. G. Constantinides, Power Spectrum Estimation from values of noisy autocorrelations.
  Signal Processing, Vol(50), 223-231, (1997).

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