3.3 FOURIER TRANSFORM OF SOME FUNCTIONS
3.3.1 Fourier Transform of Gate Function
The gate function is shown in Fig. 3.1.
Fig. 3.1 Gate function
Mathematically, it can be written as
Therefore, Fourier transform of f(t) is given by
where and are called sampling functions.
Now x 0, Sa(x) 1
and Sa(x) = 0 when x = ± mπ where ...