Fourier transform processing for digital filters or other spectral resolution devices

摘要

A process for suppressing the Gibbs phenomenon in a train of digital signals when such signals are undergoing a discrete Fourier transform or a fast Fourier transform without using the conventional windowing techniques wherein the original function defined by the initial set of digital signals is changed into a new function so that the first and last data points thereof are made equal to make the waveform of the new function each a complete cycle within its DFT period while the interrelationship of the remaining data points remain as in the original function, so that no spurious frequency components are introduced in the digital signal output. The process is shown as used in an all-purpose digital filter.