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. Author manuscript; available in PMC: 2018 Jan 1.
Published in final edited form as: Med Image Anal. 2016 Aug 24;35:434–445. doi: 10.1016/j.media.2016.08.006

Figure 2. Time and frequency domain plots of kernels for sinc, Hanning window sinc and Kaiser window sinc.

Figure 2

A) The time domain representation of various kernels and B) the frequency domain of these kernels. It is easy to see from this the impact various kernel will have on a signal’s frequency spectrum. Inset: An example of using a window function to facilitate a smoothly terminating sinc function. The purple dashed line is a sinc function multiplied with a Kaiser window, which greatly reduces rippling in the both the frequency and time domain. A non-windowed sinc (gold) ends abruptly, which causes rippling in the frequency domain. The green line is truncated at 10s, so it does not exist in the inset window.