Title :
Interpolation/extrapolation of frequency domain responses using the Hilbert transform
Author :
Narayana, S.M. ; Rao, G. ; Adve, R. ; Sarkar, T.K. ; Vannicola, V.C. ; Wicks, M.C. ; Scott, S.A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Syracuse Univ., NY, USA
Abstract :
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.
Keywords :
Hilbert transforms; extrapolation; frequency-domain analysis; interpolation; physics fundamentals; transfer functions; Hilbert transform; causal system; extrapolation; frequency domain response; interpolation; transfer function; Data mining; Dynamic range; Extrapolation; Fourier transforms; Frequency domain analysis; Frequency measurement; Interpolation; Performance evaluation; Time measurement; Transfer functions;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on