Signal Processing & DSP

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FFT Bin Frequency

Frequency represented by the k-th bin of an N-point FFT.

Formula

f_k = \frac{k f_s}{N}

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Variables

f_kBin frequency (Hz)

kBin index

f_sSampling rate (Hz)

NFFT size

Example

f_s=48000, N=1024, k=100: f = 4687.5 Hz

Did You Know?

The FFT, popularised by Cooley and Tukey in 1965, turned spectral analysis from hours of work into milliseconds.

dsp fft spectrum

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