Fourier series of f(t) over the same interval.
Mathematics · FE Reference Handbook section
Handbook notes for this section
Definitions and conditions exactly as the handbook states them.
- The integrals have the same value when evaluated over any interval of length T.
- is given by Parseval's relation. This relation says that the mean-square value is the sum of the mean-square values of the Fourier
- and the RMS value is then defined to be the square root of this quantity or FN.
- The Fourier Transform and its Inverse
- We say that x(t) and X(f) form a Fourier transform pair:
- Fourier Transform Pairs Fourier Transform Theorems
Core formulas for this FE topic
Definitions, applicability, units, assumptions and worked examples for each relation.