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## Homework Statement

What (complete) set of sampling and filtering parameters would you choose to record a signal from a high speed pressure sensor if you wanted to accurately determine its power spectrum below 35 kHz with a resolution of 0.5 Hz?

## Homework Equations

frequency resolution = sampling rate / number of samples

## The Attempt at a Solution

So I guess for the 0.5 Hz frequency resolution, any combination in the above formula giving 0.5 would work? For example 1000 sampling rate, 2000 samples?

The power spectrum would use filter. Since the signal is below 35 kHz, a low-pass filter with cutoff at 35 kHz would work?

Am I doing this correctly? Thx.