Interpolation, Identification, and Sampling

ISBN-13: 9780198500247 / Angielski / Twarda / 1997 / 288 str.

Jonathan R. Partington

Opis

This book applies functional analysis and complex analysis to problems of interpolation in spaces of analytic functions. It examines problems of recovery--producing approximations to functions from measured values. These values may in turn be corrupted by small errors; the book discusses methods for producing good models using this partial and inaccurate information. The practical applications include systems identification, signal processing, and sampling. The book provides mathematical introductions to many important areas of current research, including H( control theory, sampling and systems processing, and the theory of worst-case identification. This is the first formal treatment of worst-case identification, a field where the author is a leading authority, and the discussion includes much practical material on input design and identification algorithms. This material is appropriate for a graduate-level course on function spaces and the operators acting on them.

Recenzje

...the systems or signal processing engineer with some mathematical background will be delighted to find here all the mathematics he always wanted to learn, but did not know where to start. The material is presented in such a way that it is accessible for any application minded mathematician or theory inclined engineer from graduate level ... the necessary concepts are introduced first, so that even the non-specialist will understand and appreciate the results presented.