Consider a signal represented by the function ƒ (t) = { ={& −1 < t < 0 0 < t < 1 where f(t) = f(t+2). (a) Sketch f(t) for -2 ≤ t ≤ 2. (b) Obtain a general Fourier series representation for f. (c) Use MATLAB to plot both f(t) and the partial sum of the Fourier series f5(t) on the same set of axes for -1 ≤ t ≤ 1, where 5 f5 (t) = ao +(an cos(nwt) + b₁ sin(nwt)). n=1