Task 3: Signal Plot and Group Discussion 2 (30 mins) There is a set of signals: y1(t)=cos(t),y2(t)=cos(2t),y3(t)=cos(4t),y4(t)=cos(8t), y5(t)=cos(16t),y6(t)=cos(32t). Please plot a signal yin(t)=y1(t)+y2(t)+y3(t)+ y4(t)+y5(t)+y6(t) Assuming that you have a magic box (Fig. 2). If you put yin(t) into it, it will output a signal looks like yout(t)=y1(t)+0.5y2(t)+0.25y3(t)+0.125y4(t)+0.0625y5(t)+ 0.03125y6(t). Plot yout(t) and compare it to yin(t). Figure 2 Discuss if any signal can be approximated by a set of sine and cosine functions? If yes, what will happen it you put an arbitrary signal into the aforementioned box