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Extending the number of terms in a specific sequence.

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Oscar Kilby
Oscar Kilby on 25 Dec 2020
Commented: Oscar Kilby on 25 Dec 2020
Hello all,
Im trying to add a larger number of terms to the sequence labeled as 'Base' in the code below and display them together however my extended sequence doesnt match as closely to the base form as i was expecting, would it be possible for someone to verify if i've done it correctly / point out errors in my code?
T = 1;
w = 2*pi*(1/T);
t = linspace(0 , 3*T, 1000);
max_harmonics = 11;
Base = zeros(size(t));
Base = sin(w*t) - (1/9)*sin(3*w*t) + (1/25)*sin(5*w*t) - (1/49)*sin(7*w*t);
Base = Base + (1/(9.^2))*sin(9*w*t) - (1/(11.^2))*sin(11*w*t);
synth_f1 = zeros(size(t));
for n = 3:4:max_harmonics
synth_f1 = synth_f1 - (1/(n*n))*sin(n*w*t) + (1/((n+2).^2))*sin(n*w*t);
end
synth_f1 = sin(w*t) + synth_f1;
plot(t, synth_f1, 'r-', t, Base, 'b--' );

Answers (1)

per isakson
per isakson on 25 Dec 2020
Edited: per isakson on 25 Dec 2020
A copy&paste mistake:
synth_f1 = synth_f1 - (1/(n*n))*sin(n*w*t) + (1/((n+2).^2))*sin((n+2)*w*t);
% ^^^^^

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