Note: Sorry about the red lines, unsure why they are there (I think my photo set

Question

Note: Sorry about the red lines, unsure why they are there (I think my photo settings on my computer are messed up).

Assume you are employing the Fourier transform to analyze a recording of a sustained note played on a tuba to determine if it is in tune. The highest note that you want to analyze is A5 (880 Hz) but you need enough frequency resolution to resolve a note at the pitch A1(55 Hz) from a pitch a half step up the scale, A#1. What sampling rate should you use and how many seconds long should the recording be? Show all of your computations.

Explanation / Answer

fS>2fM

fS>2*880

fS>1760Hz

Duration of the recording is=1/1760

                                       =568 micro seconds.

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