Butterworth Notch (BTWRN)
Use the Butterworth Notch option to apply a butterworth notch filter.
Butterworth Notch Filter dialog options
Wavelength cutoff |
Central Wavelength to reject, in ground units. |
Filter order |
Degree n of the sharpness of the filter operator (default = 8.0). |
Application Notes
The Butterworth Notch filter allows to reject the desired mid-wavenumber range while maintaining the low and high extremes of the wavenumber continuum. The Filter Order controls the degree of the sharpness of the cutoff wavenumbers.
Butterworth Notch Filter
Where:
kc |
Wavenumber cutoff in cycles/ ground unit. |
n |
Positive integer value determining the degree of sharpness of the cutoff. |
Wavenumber domain variable definition
k |
Wavenumber domain increment, used to depict a radially symmetrical variable. |
where: np is the number of points cs is the cell size |
u |
X component in the wavenumber domain. | k = 2π ( i μ+j ν ) |
v |
Y component in the wavenumber domain. |
|
r |
Radial component in the wavenumber domain. |
also 2πk |
θ |
Polar component in the wavenumber domain. |
|
Ground_unit is the survey ground units as defined in your grid (e.g. metre or feet). Ground units may be left undefined.
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