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High Accuracy Evaluation of the Finite Fourier Transform Using Sampled DataMany system identification and signal processing procedures can be done advantageously in the frequency domain. A required preliminary step for this approach is the transformation of sampled time domain data into the frequency domain. The analytical tool used for this transformation is the finite Fourier transform. Inaccuracy in the transformation can degrade system identification and signal processing results. This work presents a method for evaluating the finite Fourier transform using cubic interpolation of sampled time domain data for high accuracy, and the chirp Zeta-transform for arbitrary frequency resolution. The accuracy of the technique is demonstrated in example cases where the transformation can be evaluated analytically. Arbitrary frequency resolution is shown to be important for capturing details of the data in the frequency domain. The technique is demonstrated using flight test data from a longitudinal maneuver of the F-18 High Alpha Research Vehicle.
Document ID
19970027898
Acquisition Source
Langley Research Center
Document Type
Technical Memorandum (TM)
Authors
Morelli, Eugene A.
(NASA Langley Research Center Hampton, VA United States)
Date Acquired
September 6, 2013
Publication Date
June 1, 1997
Subject Category
Aircraft Design, Testing And Performance
Report/Patent Number
NASA-TM-110340
NAS 1.15:110340
Accession Number
97N26783
Funding Number(s)
PROJECT: RTOP 522-22-21-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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