On orthonormal Muntz-Laguerre filters

  • Authors:
  • L. Knockaert

  • Affiliations:
  • INTEC, IMEC, Leuven

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2001

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Abstract

When the Muntz-Szasz (1953) condition holds, the Muntz-Laguerre filters form a uniformly bounded orthonormal basis in Hardy space. This has consequences in terms of optimal pole-cancellation schemes, and it also allows for a generalization of Lerch's theorem