Accession Number : ADA307107

Title :   A Comparison of Two Techniques For the Interpolation/Extrapolation of Frequency Domain Responses.

Descriptive Note : Final rept. Jul 93-Dec 94,

Corporate Author : SYRACUSE UNIV NY DEPT OF ELECTRICAL AND COMPUTER ENGINEERING

Personal Author(s) : Narayana, Sharath ; Sarkar, Tapan K. ; Adve, Raviraj

PDF Url : ADA307107

Report Date : FEB 1996

Pagination or Media Count : 40

Abstract : In a host of applications in engineering, it is necessary to obtain information about a system over a broad frequency range. In most cases, it is not possible to evaluate the parameter of interest in a closed form. However, either theoretical or experimental data is available in a narrow band. In this paper, a comparison is made between two methods that are used for interpolation/extrapolation of frequency domain responses. The first method discussed is a direct approach, derived from model based parameter estimation, which utilizes the principle of analytic continuation to interpolate/extrapolate the data over a wide band. The second uses the property of the discrete Hilbert Transform, based on the principle of causality, which relates the real and imaginary components of the frequency domain to iteratively interpolate/extrapolate the frequency response. The paper discusses the princlples behind each approach, and the algorithm used to implement the interpolation/extrapolation of frequency domain data, and then presents some numerical examples to compare the two methods.

Descriptors :   *FREQUENCY DOMAIN, *HILBERT SPACE, MATHEMATICAL MODELS, ALGORITHMS, EXPERIMENTAL DATA, PARAMETRIC ANALYSIS, ESTIMATES, INTERPOLATION, BROADBAND, FREQUENCY RESPONSE, NARROWBAND, EXTRAPOLATION.

Subject Categories : Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE