1. The problem statement, all variables and given/known data si(t) = √(((2*E)/T)*cos(2*π*fc*t + i*(π/4))) for 0≤t≤T and 0 otherwise. Where i = 1, 2, 3, 4 and fc = nc/T, for some fixed integer nc. What is the dimensionality, N, of the space spanned by this set of signal? Find a set of orthonormal basis functions to represent this set of signals. Plot the locations of si(t) (i = 1, 2, 3, 4) in the signal space. 2. The attempt at a solution Dimensionality N = 4. I know how to find the orthonormal basis functions for square waves, because so far we were just given square waves. We used the Gram-Schmidt orthogonalization procedure. My question is how do I find it when the function is a sine wave? Just looking for some directions. :) Thank You.