DocumentCode :
1012979
Title :
An algorithm for wideband matching using Wiener-Lee transforms
Author :
Carlin, Herbert J. ; Civalleri, Pier P.
Author_Institution :
Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA
Volume :
39
Issue :
7
fYear :
1992
fDate :
7/1/1992 12:00:00 AM
Firstpage :
497
Lastpage :
505
Abstract :
An arbitrary passive load to be matched by a lossless equalizer to a resistive source so that system response approximates any desired gain shape over a prescribed band, e.g., rectangular, is considered. A least-squares optimization procedure is described that determines the equalizer design. The method stems from the real frequency technique and uses trigonometric basis functions (Wiener-Lee transforms) for expanding the real and imaginary parts of the unknown equalizer immittances. The algorithm is relatively simple and efficient since it is implemented using the fast Fourier transform. It also incorporates physical realizability considerations. The procedure is such that a large number of variables (Fourier coefficients) can be employed. This permits a determination of the limiting value of flat gain (a useful design yardstick) as the number of equalizer elements becomes infinite
Keywords :
circuit CAD; equalisers; fast Fourier transforms; ladder networks; least squares approximations; optimisation; transforms; Fourier coefficients; Wiener-Lee transforms; algorithm; arbitrary passive load; equalizer design; fast Fourier transform; flat gain; least-squares optimization procedure; lossless equalizer; low-pass ladder; parallel RC load; real frequency technique; resistive source; wideband matching; Chebyshev approximation; Equalizers; Fourier series; Frequency; Least squares approximation; Least squares methods; Reflectivity; Shape; Transducers; Wideband;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/81.257283
Filename :
257283
Link To Document :
بازگشت