This problem provides another derivation of the structure for the coupled-form oscillato...

This problem provides another derivation of the structure for the coupled-form oscillator by considering the system

Let x(n) be real. Then y(n) is complex. Thus

(a) Determine the equations describing a system with one input x(n) and the two outputs

(b) Determine a block diagram realization

(c) Show that if then

(d) Compute Compare these with the true values of the sine and cosine.