Hello, can we make a Fourier series expansion of a (increasing or decreasing) step function ? like the one that I attached here. I just want to know the idea of that if it is possible.
So you mean that I should take each portion appart (where f(x) is constant) and calculate the integral. Then, I add them all together ?You can write down the integral, but with an infinite step function like this the integrals will diverge. With a finite step function it works.