ABSTRACT
The early 1800s saw a revolution in the understanding of mathematical functions when Jean Baptiste Joseph Fourier, in his groundbreaking observations, proclaimed that any mathematical function can be represented as a combination of several sines and cosines. This way, because the underlying frequencies of sine and cosines were known, it became easier to distinguish the frequencies of interest present in the signal under investigation. With the advent of subsequent thorough mathematical formalism for this transformation, the Fourier transform (FT) came into existence and is still used extensively to solve a variety of problems in science and engineering.
