Fourier transformation of some signal shapes

As I’m an electrician I did the Fourier transformations of some wave shapes that are mainly interesting in the Electrical Engineering :-)

The base formulation to build the Fourier transformation of the function f(x) which is periodic to 2π is:

Fourier

And for the backward transformation:
Fourier


:-) Fourier spectrum of a rectangle signal
:-) Fourier spectrum of a triangle signal
:-) Fourier spectrum of a sawtooth signal
:-) Fourier spectrum of a Pwm signal
:-) Fourier spectrum of a cut sinus signal
:-) Fourier spectrum of a cut rectified sinus signal
:-) Fourier spectrum of an Ask signal
:-) Fourier spectrum of a Fsk signal
:-) Fourier spectrum of a Psk signal


C# Demo Project Fourier signals
  • FourierSignals.zip


  • Java Demo Project Fourier signals
  • FourierSignals.zip