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Let's say we want to estimate the amplitude A of a mono-frequent signal using a windowed DFT. The frequency of the signal is unknown, and the frequency resolution of the DFT is limited, thus it cannot be expected that there is a DFT bin that matches this frequency directly. Therefore, A is estimated from the amplitude of the next closest DFT bin. Now the question is,

should the frequency response of the window exhibit a narrow or a wide mainlobe to obtain a good estimate, and why?

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    $\begingroup$ Look up “Flat Top window”. $\endgroup$ – hotpaw2 Mar 16 at 18:16
  • $\begingroup$ So the answer is it should have a narrow mainlobe? Hence the desire to have the spectrum of the window look like an impulse? $\endgroup$ – Niousha Mar 16 at 19:44

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