Discrete Fourier Transform Identities for Testing the Accuracy of Digital Data Processing Systems and Procedures.

摘要

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-collection/spectrum-processing systems in measurement applications where the spectra of the input signals span a wide dynamic range. (Author)