Basis Representations of Signals

Representing signals as a weighted sum (or integral) of certain basis signals is a powerful signal-processing tool. It is the very essence of Fourier transforms. In this series of seven lessons you will learn the general form of basis representations. You will also learn about wavelets as an alternative basis expansion to the sinusoids of Fourier methods. You will also learn about principal component analysis, a method for choosing efficient bases for random data.