Orthonormality in Interpolation Schemes for Reconstructing Signals

Nicholas J. Daras ()
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Nicholas J. Daras: Hellenic Army Academy

Chapter Chapter 5 in Applications of Mathematics and Informatics in Military Science, 2012, pp 55-74 from Springer

Abstract: Abstract Given only a few of initial Fourier coefficients for a continuous-time periodic signal, we construct efficient rational approximants to the whole signal everywhere on his domain of definition. The convergence of these approximants depends on the orthonormality of the chosen generating polynomial system {V m+1(e it ) :m=0,1,…} into L 2[−π,π]. The form of each V m+1(x) is characterized by recurrence relations dues to the connection between Schur and Szegö theories.

Keywords: Approximation by rational functions; Padé-type and/or Padéapproximants; Fourier coefficients; Orthogonal polynomials; Acceleration of convergence; Interpolation; Trigonometric approximation and interpolation (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-4109-0_5

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DOI: 10.1007/978-1-4614-4109-0_5

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