Howtosignalprocessing
- How do you find the sum of a Fourier series?
- What is Fourier transform in SS?
- What is the effect of adding more harmonics to the sum of sinusoids?
How do you find the sum of a Fourier series?
σn(x)=n∑k=0(1−kn+1)Ak(x).
What is Fourier transform in SS?
The Fourier transform is a type of mathematical function that splits a waveform, which is a time function, into the type of frequencies that it is made of. The result generated by the Fourier transform is always a complex-valued frequency function.
What is the effect of adding more harmonics to the sum of sinusoids?
As you add sinusoids waves of increasingly higher frequency, the approximation gets better and better. The addition of higher frequencies better approximates the rapid changes, or details, (i.e., the discontinuity) of the original function (in this case, the square wave).
