Frequency analysis via the method of moment functionalsSeveral variants are presented of a linear-in-parameters least squares formulation for determining the transfer function of a stable linear system at specified frequencies given a finite set of Fourier series coefficients calculated from transient nonstationary input-output data. The basis of the technique is Shinbrot's classical method of moment functionals using complex Fourier based modulating functions to convert a differential equation model on a finite time interval into an algebraic equation which depends linearly on frequency-related parameters.
Document ID
19930029117
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Pearson, A. E. (NASA Langley Research Center Hampton, VA, United States)
Pan, J. Q. (Brown Univ. Providence, RI, United States)
Date Acquired
August 15, 2013
Publication Date
January 1, 1991
Publication Information
Publication: In: IEEE Conference on Decision and Control, 30th, Brighton, United Kingdom, Dec. 11-13, 1991, Proceedings. Vol. 2 (A93-13001 02-63)
Publisher: Institute of Electrical and Electronics Engineers, Inc.