The problem of finding a rational function of a real variable interpolating at given points (with suitable intersection numbers) while being everywhere positive is considered. The positivity requirement is essential, e.g., in modeling the square magnitude of a frequency response. This goal is achieved by resorting to a Hermite-type approach which allows one to obtain positive interpolating functions of minimum complexity by means of an efficient numerical procedure.
Modeling frequency responses by positive rational functions
Viaro UmbertoMembro del Collaboration Group
1991-01-01
Abstract
The problem of finding a rational function of a real variable interpolating at given points (with suitable intersection numbers) while being everywhere positive is considered. The positivity requirement is essential, e.g., in modeling the square magnitude of a frequency response. This goal is achieved by resorting to a Hermite-type approach which allows one to obtain positive interpolating functions of minimum complexity by means of an efficient numerical procedure.File in questo prodotto:
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