Signals in Matlab The N-point DFT Xk of a length-N signal n can be expressed in

Question

Signals in Matlab

The N-point DFT Xk of a length-N signal n can be expressed in matrix form as: N-1 e-2njkn/IN n=0 where x, X are the N-dimensional column vectors of the time samples and DFT values, and A is the DFT matrix of size NxN, with matrix elements: Problem 3.1 (5 points). Write a single-line anonymous MATLAB function of N, called dftmat, that defines the DFT matrix of (7), and has syntax, A -dftmat (N) where your anonymous definition should begin with dftmat -e (N) Note that MATLAB has a built-in function dftmtx, but you should not use that. Instead your definition must implement (7) directly

Explanation / Answer

function A = dftmat(N)

for i=1:1:N

for j=1:1:N

A(i,j)=exp(-2i*pi*(i-1)*(j-1)/N) ;

  

end

end

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