A generalization of a standard inequality for Hardy space H-1

Akcay H.

AUTOMATICA, cilt.37, sa.11, ss.1853-1857, 2001 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 11
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1016/s0005-1098(01)00148-0
  • Dergi Adı: AUTOMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1853-1857
  • Anahtar Kelimeler: orthonormal basis functions, cyclically repeated poles, least-squares algorithm, worst-case identification, ORTHONORMAL BASIS FUNCTIONS, SYSTEM-IDENTIFICATION, H-INFINITY, BASES
  • Anadolu Üniversitesi Adresli: Hayır

Özet

In this paper, we generalize a standard inequality for the Hardy space H-1 to involve a family of rational basis systems with cyclically repeated poles. This inequality is used to derive an inequality that gives information on the Fourier coefficients of functions in H-p (1 < p < 2) with respect to this family of basis functions. In an identification example, worst-case error of a least-squares algorithm for impulse input signal and this particular family of basis systems is computed. (C) 2001 Elsevier Science Ltd. All rights reserved.