I am just wondering what this means in terms of Fourier Series. By definition, in order to perform the circular convolution of two signals, do they both have to have the same period, T, or can they be any two periodic signals? Also, I understand that the main result of this is that if you have two functions f(t) and g(t) and perform the circulation convolution between them to result in h(t), the complex exponential Fourier Series coefficients of v(t), Vn, will be the product of the coefficients of f(t) and g(t).

Here are my notes from class and I am wondering why Vn is the product of both coefficients times the period T. But in the example on this site, T is no where to be found?

Here are my notes: Vn = (T)(Fn)(Gn)

Here is the site that says: Vn = (Fn)(Gn)

Thanks!