A record has samples taken at

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Computational Physics, Ch Spectra of sampled signals

Problem

A record has

N=200

samples taken at

f_s = 80\,\mathrm{Hz}

. (a) State the bin spacing

\Delta f

and the frequency represented by bin

k=40

. (b) A spectral line is expected at

24.9\,\mathrm{Hz}

. State which bin index it falls nearest to, the frequency that bin represents, and the mismatch between the expected and the bin frequency. (c) State the frequency represented by bin

k=180

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