Now showing items 1-8 of 8

  • A non-extensive maximum entropy based regulations method for bad conditioned inverse problems 

    Rebollo Neira, Laura; Fernández Rubio, Juan Antonio; Plastino, Angel Luís (1998-01)
    Article
    Open Access
    A regularization method based on the non-extensive maximum entropy principle is devised. Special emphasis is given to the q=1/2 case. We show that, when the residual principle is considered as constraint, the q=1/2 generalized ...
  • Frames: a maximum entropy statistical estimate of the inverse problem 

    Rebollo Neira, Laura; Fernández Rubio, Juan Antonio; Plastino, Angel Luís (1997-01)
    Open Access
    A maximum entropy statistical treatment of an inverse problem concerning frame theory is presented. The problem arises from the fact that a frame is an overcomplete set of vectors that defines a mapping with no unique ...
  • Un método de máxima entropía para el análisis de una mezcla de tierras raras 

    Rebollo Neira, Laura; Plastino, Ángel; Zyserman, F. (Centro Internacional de Métodos Numéricos en Ingeniería, 1994)
    Article
    Open Access
    Se propone un método basado en el Principio de Máxima Entropía para analizar mezclas de Tierras Raras en base a medidas magnéticas. El algoritmo está especialmente diseñado para tener en cuenta el error de los datos y la ...
  • On the inverse windowed Fourier transform 

    Rebollo Neira, Laura; Fernández Rubio, Juan Antonio (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 1999-11-30)
    Article
    Open Access
    The inversion problem concerning the windowed Fourier transform is considered. It is shown that, out of the infinite solutions that the problem admits, the windowed Fourier transform is the "optimal" solution according to ...
  • On the q=1/2 non-extensive maximum entropy distribution 

    Rebollo Neira, Laura; Plastino, Angel Luís; Fernández Rubio, Juan Antonio (1998-01)
    Article
    Open Access
    A detailed mathematical analysis on the q = 1/2 non-extensive maximum entropy distribution of Tsallis' is undertaken. The analysis is based upon the splitting of such a distribution into two orthogonal components. One ...
  • On wideband deconvolution using wavelet transform 

    Rebollo Neira, Laura; Fernández Rubio, Juan Antonio (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 1997-07-31)
    Article
    Open Access
    A discussion on the expression proposed in [1]–[3] for deconvolving the wideband density function is presented. We prove here that such an expression reduces to be proportional to the wideband correlation receiver output, ...
  • Reconstruction of the join time-delay Doppler-scale reflectivity density in the wide-band regime. A frame theory based approach 

    Rebollo Neira, Laura; Plastino, Angel Luís; Fernández Rubio, Juan Antonio (American Institute of Physics, 2000-08-31)
    Article
    Restricted access - publisher's policy
    The inverse scattering problem concerning the determination of the joint time-delay Doppler-scale reflectivity density characterizing continuous target environments is addressed by recourse to the generalized frame theory. ...
  • The continuous wavelet transform as a maximum entropy solution of the corresponding inverse problem 

    Rebollo Neira, Laura; Fernández Rubio, Juan Antonio (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 1999-07-31)
    Article
    Open Access
    The continuous wavelet transform is obtained as a maximum entropy solution of the corresponding inverse problem. It is well known that although a signal can be reconstructed from its wavelet transform, the expansion is ...