Discrete Fourier Transform Identities for Testing the Accuracy of Digital Data Processing Systems and Procedures.
NAVAL UNDERWATER SYSTEMS CENTER NEW LONDON CONN NEW LONDON LAB
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Analytical expressions are developed for the discrete Fourier transforms DFTs of three classes of theoretical time series that often occur in physical and engineering investigations. The DFTs are expressed in terms of arbitrary parameters specifying the waveshape, sample interval, and duration of the corresponding time series. These analytical expressions are especially suited for testing the numerical accuracy of digital data-collectionspectrum-processing systems in measurement applications where the spectra of the input signals span a wide dynamic range. Author