Expand in Fourier series:
Expand in fourier sine and fourier cosine series of: f(x) =
x(L-x), 0<x<L
Expand in fourier cosine series: f(x) = sinx, 0<x<pi
Expand in fourier series f(x) = 2pi*x-x^2, 0<x<2pi,
assuming that f is periodic of period 2pi, that is,
f(x+2pi)=f(x)
Both the Fourier Series and the Discrete Fourier Transform are
calculated using summation. Explain the key differences in what the
inputs each of the Fourier Series and the DFT are AND the
requirements the inputs.
I know if f(x) is even the fourier series expansion will
consists of consnx, for like f(x)=x^2sinx, or f(x)=2/(3+cosx). but
if the f(x) is neither even or odd, would fourier expansion have
both cosnx and sinnx? This is PDE.
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.
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?