Compactly Supported Wavelets Derived From Legendre Polynomials: Spherical Harmonic Wavelets

نویسندگان

  • M. M. S. Lira
  • Hélio Magalhães de Oliveira
  • M. A. Carvalho
  • Ricardo M. Campello de Souza
چکیده

A new family of wavelets is introduced, which is associated with Legendre polynomials. These wavelets, termed spherical harmonic or Legendre wavelets, possess compact support. The method for the wavelet construction is derived from the association of ordinary second order differential equations with multiresolution filters. The low-pass filter associated to Legendre multiresolution analysis is a linear phase finite impulse response filter (FIR). Key-words: Legendre polynomials, spherical harmonic, compact support wavelets, Legendre wavelets.

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عنوان ژورنال:
  • CoRR

دوره abs/1502.00950  شماره 

صفحات  -

تاریخ انتشار 2014