Question: Consider the set of signals where N is an integer and i = 0,1,2,3,4,5,6,7. (a) Find an orthonormal basis set for the space spanned by

Consider the set of signals
S VZA cos (27 f.t + in), O<fa< N { Lin). 0< f,t <N S; (t) = 0, %3D otherwise

where N is an integer and i = 0,1,2,3,4,5,6,7.

(a) Find an orthonormal basis set for the space spanned by this set of signals.
(b) Draw a set of coordinate axes, and plot the locations of s_i (t), i = 1, 2,.....,8, after expressing each one as a generalized Fourier series in terms of the basis set found in part (a).

S VZA cos (27 f.t + in), O

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