For a practical application of LS estimation, consider discrete-time input/output data sampled at 10Hz and downloadable from http://mechatronics.ucsd.edu/mae283a_23/data/mass_spring_damper.mat of a mechanical mass/spring/damping system characterized by the 2nd order (continuous-time) differential equation m d 2 dt 2 x(t) + d d dt x(t) + kx(t) = F(t) or x(s) = G(s, [m d k])F(s), G(s, [m d k]) = 1 ms2 + ds + k (5) where x(t) is the relative position measured in centimeters of a mass m [kg] supported by a linear spring k [N/m] and linear damper d [Ns/m] due to an input F(t) force measured in Newtons. 3.1 Compute a LS estimate parameter estimate N LS of a 2nd order discrete-time model G(q, N LS). Print out the numerical values of your parameter estimate N LS for grading purposes. 3.2 Generate a figure that compares the measured output y(k) and the (discrete-time) simulated output ysim(k) = G(q, N LS)u(k) in one plot