Fourier series of a triangle wave

1. What is the Fourier transform of a triangle?
2. How do you calculate triangle waves?
3. What is Fourier series in waves?

What is the Fourier transform of a triangle?

The Fourier Transform of the triangle function is the sinc function squared. Now, you can go through and do that math yourself if you want. It's a complicated set of integration by parts, and then factoring the complex exponential such that it can be rewritten as the sine function, and so on.

How do you calculate triangle waves?

It is possible to approximate a triangle wave with additive synthesis by summing odd harmonics of the fundamental while multiplying every other odd harmonic by −1 (or, equivalently, changing its phase by π) and multiplying the amplitude of the harmonics by one over the square of their mode number, n (which is ...

What is Fourier series in waves?

Fourier series is used to describe a periodic signal in terms of cosine and sine waves. In other other words, it allows us to model any arbitrary periodic signal with a combination of sines and cosines.