MATLAB script assistance, please! I'm trying to graph a function based on its Fourier series coefficients. I'm able to successfully calculate and graph every coeffecient, but when I try to combine the coeff's to graph the actual function, see line ~20 where I create "f", it doesn't work and hits me with an error no matter what I try. Can someone fix that part of my script and explain why/how? Thank you!!! syms t n T=6; w0=2pi/T; n=-5:5; a0 = (1/T)int(t,t,0,1) +((1/T)int(1,t,1,3) )+((1/T)int(((-1(t-3))+1),t,3,4)) an = (2/T)int(tcos(nw0t),t,0,1) +((2/T)int(1cos(nw0t),t,1,3) )+((2/T)int(((-1(t-3))+1)cos(nw0t),t,3,4)) bn = (2/T)int(tsin(nw0t),t,0,1) +((2/T)int(1sin(nw0t),t,1,3) )+((2/T)int(((-1(t-3))+1)sin(nw0t),t,3,4)) Cn = sqrt((an.^2)+(bn.^2)) %Cn calculated using an's and bn's Dn = abs(Cn)/2 % as given by the formula sheet. Cn=2|Dn| abs_Cn = abs(Cn) % Magnitude of the coefficients angle_Cn = angle(Cn) % Phase angle of the coefficients abs_Dn = abs(Dn); % Magnitude of the coefficients angle_Dn = angle(Dn) % Phase angle of the coefficients f=a0+(ancos(nw0t))+(bnsin(nw0*t)); %subplot(5, 1, 1); plot(n, f); xlabel('t'); ylabel('f(t)'); title('c'); % Plot the Fourier spectra (magnitude and phase) subplot(5, 1, 2); stem(n, abs_Cn); xlabel('n'); ylabel('|Cn|'); title('Fourier Spectra (Magnitude)'); grid on; subplot(5, 1, 3); stem(n, angle_Cn); xlabel('n'); ylabel('Phase C (rad)'); title('Fourier Spectra (Phase)'); grid on; % Plot the exponential Fourier spectra (magnitude and phase) subplot(5, 1, 4); stem(n, abs_Dn); xlabel('n'); ylabel('|Dn|'); title('Exponential Fourier Spectra (Magnitude)'); grid on; subplot(5, 1, 5); stem(n, angle_Dn); xlabel('n'); ylabel('Phase D (rad)'); title('Exponential Fourier Spectra (Phase)'); grid on;

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ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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MATLAB script assistance, please! I'm trying to graph a function based on its Fourier series coefficients. I'm able to successfully calculate and graph every coeffecient, but when I try to combine the coeff's to graph the actual function, see line ~20 where I create "f", it doesn't work and hits me with an error no matter what I try. Can someone fix that part of my script and explain why/how? Thank you!!!

syms t n

T=6;

w0=2*pi/T;

n=-5:5;

a0 = (1/T)*int(t,t,0,1) +((1/T)*int(1,t,1,3) )+((1/T)*int(((-1*(t-3))+1),t,3,4))

an = (2/T)*int(t*cos(n*w0*t),t,0,1) +((2/T)*int(1*cos(n*w0*t),t,1,3) )+((2/T)*int(((-1*(t-3))+1)*cos(n*w0*t),t,3,4))

bn = (2/T)*int(t*sin(n*w0*t),t,0,1) +((2/T)*int(1*sin(n*w0*t),t,1,3) )+((2/T)*int(((-1*(t-3))+1)*sin(n*w0*t),t,3,4))

Cn = sqrt((an.^2)+(bn.^2)) %Cn calculated using an's and bn's

Dn = abs(Cn)/2 % as given by the formula sheet. Cn=2|Dn|

abs_Cn = abs(Cn) % Magnitude of the coefficients

angle_Cn = angle(Cn) % Phase angle of the coefficients

abs_Dn = abs(Dn); % Magnitude of the coefficients

angle_Dn = angle(Dn) % Phase angle of the coefficients

f=a0+(an*cos(n*w0*t))+(bn*sin(n*w0*t));

%subplot(5, 1, 1); plot(n, f); xlabel('t');

ylabel('f(t)'); title('c');

% Plot the Fourier spectra (magnitude and phase)

subplot(5, 1, 2);

stem(n, abs_Cn);

xlabel('n');

ylabel('|Cn|');

title('Fourier Spectra (Magnitude)');

grid on;

subplot(5, 1, 3);

stem(n, angle_Cn);

xlabel('n');

ylabel('Phase C (rad)');

title('Fourier Spectra (Phase)');

grid on;

% Plot the exponential Fourier spectra (magnitude and phase)

subplot(5, 1, 4);

stem(n, abs_Dn);

xlabel('n');

ylabel('|Dn|');

title('Exponential Fourier Spectra (Magnitude)');

grid on;

subplot(5, 1, 5);

stem(n, angle_Dn);

xlabel('n');

ylabel('Phase D (rad)');

title('Exponential Fourier Spectra (Phase)');

grid on;

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