1. FFT frequency resolution can be calculated using the following formula:
frequency resolution = fs/FFT size
Substituting the given values:
frequency resolution = 22050/1024
frequency resolution = 21.5332 Hz
Therefore, the FFT frequency resolution is 21.5332 Hz.
2. Frequency bin number (f1bin) can be calculated using the following formula:
f1bin = f1/frequency resolution
Substituting the given values:
f1bin = 43/21.5332
f1bin = 1.9972
Rounding off to the nearest integer:
f1bin ≈ 2
Therefore, the frequency bin number corresponding to 43 Hz is 2.
1. Determine FFT frequency resolution for the specified sampling frequency fs and the specified FFT size. Show all your work.
FFT size = 1024
fs = 22050 Hz
2. Using the data from question 1 determine frequency bin number (f1bin) corresponding to the specified frequency f1. Show all your work.
f1 = 43 Hz
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