Based on fourier series
Q1: how to determine if a signal function x(t) is
periodic and ac. And what happens if there is x(t) = sint + cost +
sint? How would we know if ac/periodic?
Q2: What is fourier series and fourier
coefficients?
Q3: What is Fourier Trigonometric Series?
Calculate the fourier series of these periodic functions f(x) =
cosh(2πax + πa), x ∈ [0, 1) and f(x) = cos(2πax − aπ) x ∈ [0, 1).
The period of these functions is 1.
1-periodic
4 a) Find the Fourier Integral representation of ?(?) = 1 ?? |?|
< 1
0 ?? |?| > 1
b) Find the Fourier Sine Transform of ?(?) = ? −|?| . Hence
evaluate ∫ ?????? 1+?2 ??.
Find the Fourier Series for the function defined over -5 < x
< 5
f(x) = -2 when -5<x<0 and f(x) = 3 when 0<x<5
You can use either the real or complex form but must show
work.
Plot on Desmos the first 10 terms of the series along with the
original
function.