Question 2: A sinusoidal signal y(t) in one period T=12 s is sampled into 1 1 data points (ti, yi) as listed in the table below: 1 2 3 4 5 6 7 8 9 10 11 ti (s) 0.0 1.0 2.0 2.5 3.5 4.5 6.0 7.5 10.0 11.0 12.0 Vi 7.6 7.2 7.0 6.5 7.5 7.2 8.9 9.1 8.9 7.9 7.0 (a) If the signal is expressed as y(t)=A+B-cos(wot-1.07), where wo=2n/T and A and B are coefficients. Determine the values of A and B using linear least-squares regression. (10 marks) (b) If the signal is expressed as y(t)=A+B-cos(wot)+C-sin(wot), where wo=2n/T and A, B and Care coefficients. Answer the following questions: (i) By the transformation of variables u=cos(wot) and v sin(wot), the signal is expressed as y(u, v)=A+ButC.v where the coefficients A, B and C can be determined by linear least-squares regression. Show the procedure in determining A, B and C using the fitting method of linear least-squares regression. (5 marks) (ii) Based on the fitting method as developed in (i), find the values of A, B and C, respectively. (15 marks)