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PROGRAM:

NAME


x2sys_solve - Determine least-squares systematic correction from crossovers

SYNOPSIS


x2sys_solve column TAG mode [ COE_list.d ] [ [level] ] [ [u] ] [ -bi<binary> ] [
-di<nodata> ] [ -x[[-]n] ]

Note: No space is allowed between the option flag and the associated arguments.

DESCRIPTION


x2sys_solve will use the supplied crossover information to solve for systematic
corrections that can then be applied per track to improve data quality. Several systematic
corrections can be solved for using a least-squares approach. Note: Only one data column
can be processed at the time.

REQUIRED ARGUMENTS


COE_list.d
Name of file with the required crossover columns as produced by x2sys_list. NOTE:
If -bi is used then the first two columns are expected to hold the integer track
IDs; otherwise we expect those columns to hold the text string names of the two
tracks. If no file is given we will read from stdin.

-TTAG Specify the x2sys TAG which tracks the attributes of this data type.

-Ccolumn
Specify which data column you want to process. Needed for proper formatting of the
output correction table and must match the same option used in x2sys_list when
preparing the input data.

-Emode The correction type you wish to model. Choose among the following functions f(p) ,
where p are the m parameters per track that we will fit simultaneously using a
least squares approach:

c will fit f(p) = a (a constant offset); records must contain cruise ID1, ID2, COE.

d will fit f(p) = a + b * d (linear drift; d is distance; records must contain
cruise ID1, ID2, d1, d2, COE.

g will fit f(p) = a + b sin(y)^2 (1980-1930 gravity correction); records must
contain cruise ID1, ID2, latitude y, COE.

h will fit f(p) = a + b cos(H) + c cos(2H) + d sin(H) + e sin(2H) (magnetic heading
correction); records must contain cruise ID1, ID2, heading H, COE.

s will fit f(p) = a * z (a unit scale correction); records must contain cruise ID1,
ID2, z1, z2.

t will fit f(p) = a + b * (t - t0) (linear drift; t0 is the start time of the
track); records must contain cruise ID1, ID2, t1-t0, t2-t0, COE.

OPTIONAL ARGUMENTS


-V[level] (more ...)
Select verbosity level [c].

-W Means that each input records has an extra column with the composite weight for
each crossover record. These are used to obtain a weighted least squares solution
[no weights]. Append u to report unweighted mean/std [Default, report weighted
stats].

-bi[ncols][t] (more ...)
Select native binary input.

-dinodata (more ...)
Replace input columns that equal nodata with NaN.

-x[[-]n] (more ...)
Limit number of cores used in multi-threaded algorithms (OpenMP required).

-^ or just -
Print a short message about the syntax of the command, then exits (NOTE: on Windows
use just -).

-+ or just +
Print an extensive usage (help) message, including the explanation of any
module-specific option (but not the GMT common options), then exits.

-? or no arguments
Print a complete usage (help) message, including the explanation of options, then
exits.

--version
Print GMT version and exit.

--show-datadir
Print full path to GMT share directory and exit.

NOTES


Most of the model corrections in involve a constant offset. Because crossovers are
differences between values, any absolute level will cancel out and hence the constant
offsets we obtain are relative to an undetermined absolute level. To obtain a solvable
solution we add the constraint that the sum of all constant offsets equal zero. If the
tracks form clusters in which no tracks from one cluster cross any track from another
cluster then these are two independent data sets and require they own constraint equation
for their offsets. We determine the number of clusters and automatically add the required
constraint equations. If you need a particular reference track to have a particular
offset (e.g., 0) then you can subtract the offset you found from every track correction
and add in the desired offset.

EXAMPLES


To fit a simple bias offset to faa for all tracks under the MGD77 tag, try

gmt x2sys_list COE_data.txt -V -TMGD77 -Cfaa -Fnc > faa_coe.txt
gmt x2sys_solve faa_coe.txt -V -TMGD77 -Cfaa -Ec > coe_table.txt

To fit a faa linear drift with time instead, try

gmt x2sys_list COE_data.txt -V -TMGD77 -Cfaa -FnTc > faa_coe.txt
gmt x2sys_solve faa_coe.txt -V -TMGD77 -Cfaa -Et > coe_table.txt

To estimate heading corrections based on magnetic crossovers associated with the tag MGD77
from the file COE_data.txt, try

gmt x2sys_list COE_data.txt -V -TMGD77 -Cmag -Fnhc > mag_coe.txt
gmt x2sys_solve mag_coe.txt -V -TMGD77 -Cmag -Eh > coe_table.txt

To estimate unit scale corrections based on bathymetry crossovers, try

gmt x2sys_list COE_data.txt -V -TMGD77 -Cdepth -Fnz > depth_coe.txt
gmt x2sys_solve depth_coe.txt -V -TMGD77 -Cdepth -Es > coe_table.txt

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