The bias induced by the Goodman algorithm

From Atomix

The bias induced by the Goodman [1] vibration-coherent noise removal algorithm is corrected by dividing the spectrum by [math]\displaystyle{ 1-\frac{1.02N_v}{N_f} }[/math] where [math]\displaystyle{ N_v }[/math] is the number of signals that are used to remove coherent noise in the shear-probe spectrum and [math]\displaystyle{ N_f }[/math] is the number of fft-segments that are used to estimate the shear spectrum [2].


References

  1. L. Goodman and E. Levine and R. Lueck. 2006. On measuring the terms of the turbulent kinetic energy budget from an AUV. J. Atmos. Oceanic Technol.. doi:10.1175/JTECH1889.1
  2. R. G. Lueck, D. MacIntyre and and J. MacMillan. 2022. The bias in coherent noise removal. J. Atmos. Oceanic Technol.. doi:TBD



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