Fourier Analysis Flashcards
1
Q
fundamental frequency
A
ω = 2π / T
1
Q
Waveform analysis equation
A
f(t) = A cos(ωt + Φ)
amplitude (A)
fundamental frequency (ω)
displacement in x axis (Φ)
2
Q
periodic function
A
f(t) = f(t + nT)
period (T)
3
Q
work out if f(x) is odd, even or neither
A
even: f(-x) = f(x), symmetrical about y axis
odd: f(-x) = - f(x), rotational symmetry about origin
neither: the above doesn’t apply
4
Q
how to tell if an or bn = 0
A
an: cos() = even
If f(x) is even/neither an ≠ 0
bn: sin() = odd
If f(x) is odd/neither an ≠ 0
5
Q
blueprint to working terms of fourier series
A
- use given period function to find period
- figure out if f(t) is odd/even/neither
- is average value of f(t) > 0, < 0, = 0
6
Q
How do you workout a0 by inspection
A
a0 = 2 x average of f(t)
