Home /
Expert Answers /
Electrical Engineering /
10-points-consider-x-1-t-jt-0-lt-t-lt-1-0-otherwise-and-x-2-t-e-t-0-lt-t-lt-pa458
(Solved): [10 points] Consider x_(1)(t)={(jt,0<=t<=1),(0, otherwise ):} and x_(2)(t)={(e^(-t),0<=t< ...
[10 points] Consider x_(1)(t)={(jt,0<=t<=1),(0, otherwise ):} and x_(2)(t)={(e^(-t),0<=t<=1),(0, otherwise ):}.
(a) Find the optimum approximation hat(x)_(1)(t) of x_(1)(t) in terms of x_(2)(t).
(b) Compute the energy of the error signal e_(1)(t).
(c) Find the optimum approximation hat(x)_(2)(t) of x_(2)(t) in terms of x_(1)(t).
(d) Compute the energy of the error signal e_(2)(t).
Recommendation: use Appendix E. 7 in your textbook to compute the integrals.