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Advanced DSP

FFT windows

Figures of merit

The measures of the quality of an FFT window function are:

Sidelobe level, fall offand 6 dB bandwidth measure a window function's quality in terms of resolving close frequency components.

Coherent Power Gain measures the amount by which a frequency component's measured value is attenuated by the window function

Equivalent Noise Bandwidth and Worst Case Processing Loss measure a window function's quality in terms of detecting a signal in noise.

Window function Sidelobe (dB) Fall off (dB/octave) Coherent Power Gain Equivalent Noise Bandwidth (FFT bins) 6 dB bandwidth (FFT bins) Worst Case Processing Loss (dB)
Rectangular - 13 - 6 1.00 1.00 1.21 3.92
Triangular - 27 - 12 0.50 1.33 1.78 3.07
Hanning -32 -18 0.50 1.50 2.00 3.18
Hamming - 43 - 6 0.54 1.36 1.81 3.10
Poisson (3.0) - 24 - 6 0.32 1.65 2.08 3.64
Poisson (4.0) - 31 - 6 0.25 2.08 2.58 4.21
Cauchy (4.0) - 35 - 6 0.33 1.76 2.20 3.83
Cauchy (5.0) - 30 - 6 0.28 2.06 2.53 4.28
Gaussian (3.0) - 55 - 6 0.43 1.64 2.18 3.40
Kaiser-Bessel (3.0) - 69 - 6 0.40 1.80 2.39 3.56
Kaiser-Bessel (3.5) - 82 - 6 0.37 1.93 2.57 3.74

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