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
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.