(a) Using the Gram--Schmidt procedure, find an orthonormal basis set corresponding to the signals x 1 (t)...

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(a) Using the Gram--Schmidt procedure, find an orthonormal basis set corresponding to the signals

x1 (t) = exp (-t) u(t)

x2 (t) = exp (-2t) u (t)

x3 (t) = exp (-3t) u (t)

(b) See if you can find a general formula for the basis set for the signal set x1(t) = exp (-t) u(t),......, xn (t) = exp (-nt) u(t) where n is an arbitrary integer.

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