Figure 1 shows a message signal, m(t), to be AM modulated using a carrier of frequency fe = 100kHz. A) Using MATLAB, sketch the AM signal [A + m(t)] cos(2nfet) corresponding to the following modulation indices and comment on each sketch about message recovery using both envelope detection and coherent detection. a. = 0.5 b. = 1 = 2 = 00 c. d. B) Write a MATLAB program to compute/draw Fourier transform of the AM modulated signal. C) Write a MATLAB program to compute power efficiency of the AM modulation scheme for given m(t) and any value of . D) Write a MATLAB program to recover message signal using coherent detection for any value of . Afterwards, draw the output of the coherent detection for -0.5, -1, -2. 10 (1) -10-- -10 Figure 1: A message signal for AM modulation