Abstract
Creating a variable sampled signal allows for conservation of bandwidth and power however it removes the ability to accurately find a Discrete Fourier Transform (DFT). A requirement of the DFT is that the signal itself by uniformly sampled. In this paper we show how it is possible to find the DFT using interpolation. Interpolation is a process of estimating intermediate sample values from the surrounding samples resulting in a constantly sampled signal. From an interpolated version of the signal we can once again find the DFT of the original signal.