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![Why is it assumed that $x[n]$ is limited from $0$ to $N-1$ while evaluating DFT?](https://howtosignalprocessing.com/storage/img/images_1/why_is_it_assumed_that_xn_is_limited_from_0_to_n1_while_evaluating_dft.jpg)
- What is N in DFT formula?
- What is the effect of increasing size of DFT on spectrum?
- How do you calculate DFT coefficient?
What is N in DFT formula?
DFT[x1(n) N x2(n)] = X1(k)X2(k) Where N indicates N-point circular convolution. Multiplication property: If X1(k) = DFT[x1(n)] & X2(k) = DFT[x2(n)], then. DFT[x1(n)x2(n)] = (1/N)[X1(k) N X2(k)]
What is the effect of increasing size of DFT on spectrum?
The DFT of the window is what would convolve with our original frequencies. As the time length of the window increases, the width of the main lobe of its transform in frequency gets more narrow (the nulls are located at 1/T) and therefore the frequency resolution increases.
How do you calculate DFT coefficient?
The DFT formula for X k X_k Xk is simply that X k = x ⋅ v k , X_k = x \cdot v_k, Xk=x⋅vk, where x x x is the vector ( x 0 , x 1 , … , x N − 1 ) .
