DescriptionSampling the Discrete-time Fourier transform.svg English: Definitions: DTFT=discrete-time Fourier transform; DFT=discrete Fourier transform Nine...
A Fourier transform and 3 variations caused by periodic sampling (at interval T) and/or periodic summation (at interval P) of the underlying time-domain...
When the functions are sampled at rate fs, the images (green) are added to the original transforms (blue) when one examines the discrete-time Fourier transforms...
{\displaystyle x[n]} sequence. Then the discrete-time Fourier transform (DTFT) of the x [ n ] {\displaystyle x[n]} sequence is the Fourier series representation of...
English: The first and third graphs depict the discrete-time Fourier transforms of a sampled function and the same function sampled 3 times faster. The second...
that the slower sampling does not cause overlap (aliasing). Sometimes, a sampled function is resampled at a lower rate by keeping only every Mth sample and...
Gaussian windows.svg English: These figures compare two 8-length Gauss window functions and their spectral leakage (discrete-time Fourier transform) characteristics...
English Using triangular functions, demonstrates the benefit of circular addition to prepare an (N+1)-sample sequence for an N-point DFT. author name string:...
cycles. When the sinusoid is sampled and windowed, its discrete-time Fourier transform also suffers from the same leakage pattern. But when the DTFT is only...
S(1:N2)) % Plot the discrete-time Fourier transform. hold on plot(0:N2-1, S(1:N2), ".", "markersize",12, "color","blue") % Overlay the DTFT samples. xlim([0...
