Assume that I have a N=10 samples with Fs=10. assume in the time domain an unit impulse event happens which should be placed at 3.425 index in time domain. Assume that I could not change Fs or increase N How could i register such unit impulse inside a vector with 10 elements when it does not match to my bin index? I somehow understood it is related to Sinc function but still did not get how could I know the coefficients of the bins in the mentioned example settings.
For example it should be something like [0 0 .3 .52 .6 .43 .3 .2 0 0] but I have no idea how determine the numbers. Thanks