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DFT Question: 4. If fs = 250 and x = 2δ [n −1]−3δ [n −3]+ 5δ...

DFT Question:

4. If fs = 250 and x = 2δ [n −1]−3δ [n −3]+ 5δ [n − 4]+ 5δ [n −5],
a. what does frequency of each k (which is frequency index)?
b. How many total numbers of bins (each k is called bin) do you need to have if you want to
represent the frequency of 15 Hz for each bin?
c. If you append 10 zeros in the back of this x signal, what frequency does each k
represent?

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