Lecture 11: Fourier Transform
Properties and Examples
3. Basis functions (3 lectures): Concept of basis
function. Fourier series representation of time
functions. Fourier transform and its properties.
Examples, transform of simple time functions.
Unit Step Function
The unit step function is just a piecewise function with a jump discontinuity at
t = a. Recall from calculus that a jump discontinuity is an x-value for which the
limit doesnt exist. Then general form of the unit step function is given