Letbe the Fourier series expansion corresponding to the periodic signal x(t) (i.e: the 's are as calculated by the formula in the previous lecture). Then the above summation may or may not converge to the actual signal x(t).

We shall discuss the convergence of the Fourier series representation of a periodic signal in two contexts, namely Pointwise convergence and Convergence in squared norm. We will first see what each of these terms means and then discuss the conditions under which each kind of convergence takes place.

For the subsequent discussion let,