Reconstucting a signal using Sinc function

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Jacob Assayag
Jacob Assayag am 29 Apr. 2021
i have sampled a signal and im trying to reconstruct the signal according to the ideal sinc filter idea.
so i have a signal lets say
and i have sampled it in 50hz for the sampled signal -Xs
and the countinous signal is sampled at 400hz-Xc
then i put the samples from Xs to fit the Xc where for each point without Xs is get a zero . that gave me (time domain to be clear)
now i want to reconstruct the signal from the formula :
and im not sure how the original signal will come from this application.
thank you very much. if the question was not specific enough tell me.
Tc=1/400,Ts=1/50;
ts=0:Ts:0.4;
tc=0:Tc:0.4;
Xs10=cos(2*pi*1*f0*ts);
Sinc11=zeros(length(Xs10));
for i=0:length(Xs10)
Sinc1=Xs10(i+1).*sinc(pi*(Tc-i/50)*50);
Sinc11=Sinc11+Sinc1;
end
plot(tc,Sinc1);

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