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DFT Leakage

Understand how the Discrete Fourier Transform (DFT) frequency index relates to real-world frequencies and why fractional frequency components cause energy leakage across DFT bins. This lesson explains the difference between integer and fractional discrete frequencies and their impact on spectral analysis, helping you grasp the phenomenon of DFT leakage common in real-world signals.

The DFT frequency index kk represents the pointer to the real-world frequency of the signal. This has been established through the relation

k=Nffsk = N \frac{f}{f_s} ...