A generalization of a standard inequality for Hardy space H-1
AUTOMATICA, cilt.37, sa.11, ss.1853-1857, 2001 (SCI-Expanded, Scopus)
- 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.