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Summary: IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 45, NO. 5, MAY 1997 837
Application of the Cauchy Method for
Extrapolating/Interpolating Narrow-Band
System Responses
Raviraj S. Adve, Student Member, IEEE, Tapan K. Sarkar, Fellow, IEEE, Sadasiva M. Rao, Senior Member, IEEE,
Edmund K. Miller, Fellow, IEEE, and Donald R. Pflug, Senior Member, IEEE
Abstract-- In this paper, it is shown that Cauchy's method
can be used effectively to interpolate/extrapolate narrow-band
system responses. The given information can either be theo-
retical datapoints or measured experimental data over a band.
For theoretical data extrapolation or interpolation, the sampled
values of the function and, optionally, a few of its derivatives
have been used to reconstruct the function. For measured data,
only measured values of the parameter are used to create broad-
band information from limited data as derivative information
is too noisy. Cauchy's method assumes that the parameter to
be extrapolated/interpolated, as a function of frequency, is a
ratio of two polynomials. The problem is to determine the order
of the polynomials and the coefficients therein. The method of
total least squares (TLS) has been used to solve the resulting
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