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

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 pole s. This inequality is used to derive an inequality that gives information o n 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 er ror of a least-squares algorithm for impulse input signal and this particul ar family of basis systems is computed. (C) 2001 Elsevier Science Ltd. All rights reserved.