Problem 4: 4. Gram-Schmidt [9 points] Consider a set of four signals given by Sm(t) 2 for 0 < t < (m + 1), and m = 0,1,2,3. Sm(t) = 0

otherwise. Using Gram-Schmidt orthogonalization procedure find an orthonormal set of signals m(t), for m = 0, 1, 2, 3 such that each of the original signals can be written as a lincar combination of them.