2. Determine the following for the MATLAB code shown in figure Q2, which computes the trigonometric...

 

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2. Determine the following for the MATLAB code shown in figure Q2, which computes the trigonometric Fourier series approximation for a periodic signal. The angular velocity of the signal is equal to 1, i.e., w=1. a). Explain, briefly, the following code, support your discussion with a simple example. i) Line 03 t=0;0.1:2*pi. ii) Line 05 - The 'while' loop. [8 marks] [8 marks] b) Modify the program code to compute the Trigonometric Fourier series approximation for the following coefficients: a0 = 44, an=0 and bn = -22/n. The program should compute all integer multiples of the frequency starting with the first up to the eleventh harmonic. [9 marks] 01 w=1; 02 a0=15*pi; 03_t=0:0.1:2*pi; 04 n=4; 05 while n>=33 06 bn=-(30/(n)); 07 F=80+bn*sin(n*w*t); 08 fprintf('The result is %d ', n) 09 pause (0.5) 10 plot (t, F); 11 xlabel ('Time'); 12 ylabel ('Amplitude'); 13 title (['Harmonic ',num2str(n)]); 14 a0=F; 15 n=n+2; 16 end 2. Determine the following for the MATLAB code shown in figure Q2, which computes the trigonometric Fourier series approximation for a periodic signal. The angular velocity of the signal is equal to 1, i.e., w=1. a). Explain, briefly, the following code, support your discussion with a simple example. i) Line 03 t=0;0.1:2*pi. ii) Line 05 - The 'while' loop. [8 marks] [8 marks] b) Modify the program code to compute the Trigonometric Fourier series approximation for the following coefficients: a0 = 44, an=0 and bn = -22/n. The program should compute all integer multiples of the frequency starting with the first up to the eleventh harmonic. [9 marks] 01 w=1; 02 a0=15*pi; 03_t=0:0.1:2*pi; 04 n=4; 05 while n>=33 06 bn=-(30/(n)); 07 F=80+bn*sin(n*w*t); 08 fprintf('The result is %d ', n) 09 pause (0.5) 10 plot (t, F); 11 xlabel ('Time'); 12 ylabel ('Amplitude'); 13 title (['Harmonic ',num2str(n)]); 14 a0=F; 15 n=n+2; 16 end