(a) Using the Gram Schmidt procedure, find an orthonormal basis set corresponding to the signals x 1 (t) exp ( t) u(t) x 2 (t) exp ( 2t) u (t) x 3 (t) exp ( 3t) u (t) (b) See if you can find a general formula for the basis set for the signal set x 1 (t) exp ( t) u(t), , x n (t) exp ( nt) u(t) where n is an arbitrary integer

Question: (a) Using the Gram--Schmidt procedure, find an orthonormal basis set corresponding to the signals x 1 (t) = exp (-t) u(t) x 2 (t) =

(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),......, x_n (t) = exp (-nt) u(t) where n is an arbitrary integer.

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