Time and frequency analysis of non-uniform sampling

The spectrum of non-uniformly sampled signals is often needed for analysis of signals obtained from network of distributed sensors. In this paper, we analyze a method to retrieve the spectrum of this type of signals through interpolation, then re-sampling with uniform rate and performing Fourier transform at the end. We discuss this method based on the deviation of the non-uniform sampling rate and the interpolation type. Then, we examine the methodology on a non-uniformly sampled sine wave and a real ECG signal obtained from a Wireless Sensor Network.