Interpolation is a simple yet beautifully practical mathematical concept that is one of the core foundations of signal processing. In the following segment, I will explore some of the various means of interpolation, and it's usage when applied to sampling.
Interpolation is a fancy word to mean connect the dots. Give a collection of points, how do we connect them in such a way as to result in the most accurate representation of our data? Interpolation is often confused with regression, which is another mathematical process which results in a line of best fit, with the fit not necessarily traversing through the set of given data points.
Image Courtesy of Miki Lustig