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.