function x(t) = sin(4pit) 0<t<1/2 x(t) = 0 1/2<t<1 x(t) = x2(t+1) Determine ak coefficients for...

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function x(t) = sin(4pit) 0<t<1/2 x(t) = 0 1/2<t<1 x(t) = x2(t+1) Determine ak coefficients for...

function
x(t) = sin(4*pi*t) 0<t<1/2
x(t) = 0 1/2<t<1
x(t) = x2(t+1)

Determine ak coefficients for x(t)
Plot the approximation using matlab of x(t) using ak coefficients for |k|<=11

engineering Electrical-Engineering

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Answer 1

Answer #1

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%matlab

T=1;
t=-2*T:0.01*T:2*T;
x=zeros(size(t));
K=11;
for k=-K:K
ak=sinc(1-0.5.*k).*exp(1i.*pi.*(1-0.5.*k))-sinc(1+0.5.*k).*exp(-1i.*pi.*(1+0.5.*k));
ak=ak.*(-0.25i);
x=x+ak.*exp(1i.*k.*2.*pi.*t);
end
plot(t,x)
xlabel('t');
ylabel('x(t)');
title('fourier approximation of x(t)');

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Answer 2

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function x(t) = sin(4pit) 0<t<1/2 x(t) = 0 1/2<t<1 x(t) = x2(t+1) Determine ak coefficients for...

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