Question

Calculate the 1D DCT of signal x[n]=[1, 2, 3, 4]

Calculate the 1D DCT of signal x[n]=[1, 2, 3, 4]

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Answer #1

% Matlab Code

y=[1,2,3,4];
[M,N]=size(y);
sum=0;
dct1d=zeros(1,N);
u=[0:N-1] ;
for j=1:N
for i=1:N
sum = sum + y(i).*(cos((pi.*(2.*u(i)+1).*u(j))/(2*N)));
end
if j==1   
K=sqrt(1/N);
else
K=sqrt(2/N);
end

dct1d(j)=K.*sum;
sum=0;
end
dct1d

Output Snapshot:

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