Question

How to use matlab implementate Discrete Fourier Transform with 2 inputs (signal and sample frequency), and output a vector. please use for loop to do this

Answer 1

DFT using for loop and output is present in Y1

function [Y] = DFT(x)

%calculating length of x

L_x = length(x);

NDFT = 2^nextpow2(L_x);

X1 =[x zeros(1,NDFT-L_x)];

Y1 = zeros(1,NDFT);

for k = 0:NDFT-1

Y(1k+1) = 0;

for n = 0:NDFT-1

Y1(k+1)=Y1(k+1)+(X1(n+1)*exp((-1j)*2*pi*k*n/L_x));

end

end

end

Above x is combined input of signal and sample frequency

s = 0:1/100:10-1/100;                     
x = sin(2*pi*15*s) + sin(2*pi*40*s); 

DFT(x)