Interpolation/extrapolation of frequency domain responses using the Hilbert transform

The Hilbert transform relates the real and the imaginary parts of the transfer function of a causal system. The objective of this paper is to illustrate how the Hilbert transform relationship can be utilized to interpolate/extrapolate measured frequency domain responses of devices. Sample numerical...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques 1996-10, Vol.44 (10), p.1621-1627
Main Authors: Narayana, S.M., Rao, G., Adve, R., Sarkar, T.K., Vannicola, V.C., Wicks, M.C., Scott, S.A.
Format: Article
Language:English
Subjects:
Data mining
Dynamic range
Extrapolation
Fourier transforms
Frequency domain analysis
Frequency measurement
Interpolation
Performance evaluation
Time measurement
Transfer functions
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Summary:The Hilbert transform relates the real and the imaginary parts of the transfer function of a causal system. The objective of this paper is to illustrate how the Hilbert transform relationship can be utilized to interpolate/extrapolate measured frequency domain responses of devices. Sample numerical examples are presented to illustrate the efficacy of this method.
ISSN:0018-9480
1557-9670
DOI:10.1109/22.538952