# filter1d¶

filter1d - Time domain filtering of 1-D data tables

## Synopsis¶

**filter1d** [ *table* ] **-F***type<width>*[*modifiers*]
[ **-D***increment* ] [ **-E** ]
[ **-L***lack_width* ] [ **-N***t_col* ] [ **-Q***q_factor* ]
[ **-S***symmetry_factor* ] [ **-T***t_min/t_max/t_inc*[**+n**] ]
[ **-V**[*level*] ]
[ **-b**binary ]
[ **-d**nodata ]
[ **-e**regexp ]
[ **-f**flags ]
[ **-g**gaps ]
[ **-h**headers ]
[ **-i**flags ]
[ **-o**flags ]
[ **-:**[**i**|**o**] ]

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

## Description¶

**filter1d** is a general time domain filter for multiple column time
series data. The user specifies which column is the time (i.e., the
independent variable). (See **-N** option below). The fastest operation
occurs when the input time series are equally spaced and have no gaps or
outliers and the special options are not needed. **filter1d** has
options **-L**, **-Q**, and **-S** for unevenly sampled data with gaps.

## Required Arguments¶

**-F****type***width*[*modifiers*]Sets the filter

**type**. Choose among convolution and non-convolution filters. Append the filter code followed by the full filter*width*in same units as time column. By default we perform low-pass filtering; append**+h**to select high-pass filtering. Some filters allow for optional arguments and modifiers. Available convolution filter types are:(

**b**) Boxcar: All weights are equal.(

**c**) Cosine Arch: Weights follow a cosine arch curve.(

**g**) Gaussian: Weights are given by the Gaussian function.(

**f**) Custom: Instead of*width*give name of a one-column file with your own weight coefficients.Non-convolution filter types are:

(

**m**) Median: Returns median value.(

**p**) Maximum likelihood probability (a mode estimator): Return modal value. If more than one mode is found we return their average value. Append**+l**or**+u**if you rather want to return the lowermost or uppermost of the modal values.(

**l**) Lower: Return the minimum of all values.(

**L**) Lower: Return minimum of all positive values only.(

**u**) Upper: Return maximum of all values.(

**U**) Upper: Return maximum or all negative values only.Upper case type

**B**,**C**,**G**,**M**,**P**,**F**will use robust filter versions: i.e., replace outliers (2.5 L1 scale off median) with median during filtering.In the case of

**L**|**U**it is possible that no data passes the initial sign test; in that case the filter will return 0.0.

## Optional Arguments¶

*table*- One or more ASCII (or binary, see
**-bi**[*ncols*][*type*]) data table file(s) holding a number of data columns. If no tables are given then we read from standard input.

**-D***increment**increment*is used when series is NOT equidistantly sampled. Then*increment*will be the abscissae resolution, i.e., all abscissae will be rounded off to a multiple of*increment*. Alternatively, resample data with sample1d.

**-E**- Include Ends of time series in output. Default loses half the filter-width of data at each end.

**-L***lack_width*- Checks for Lack of data condition. If input data has a gap exceeding
*width*then no output will be given at that point [Default does not check Lack].

**-N***t_col*- Indicates which column contains the independent variable (time). The
left-most column is # 0, the right-most is # (
*n_cols*- 1). [Default is 0].

**-Q***q_factor*- Assess Quality of output value by checking mean weight in
convolution. Enter
*q_factor*between 0 and 1. If mean weight <*q_factor*, output is suppressed at this point [Default does not check Quality].

**-S***symmetry_factor*- Checks symmetry of data about window center. Enter a factor between
0 and 1. If ( (abs(n_left - n_right)) / (n_left + n_right) ) >
*factor*, then no output will be given at this point [Default does not check Symmetry].

**-T***t_min/t_max/t_inc*[**+**]- Make evenly spaced time-steps from
*t_min*to*t_max*by*t_inc*[Default uses input times]. Append**+n**to*t_inc*if you are specifying the number of equidistant points instead.

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

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

**-bo**[*ncols*][*type*] (more …)- Select native binary output. [Default is same as input].

**-d**[**i**|**o**]*nodata*(more …)- Replace input columns that equal
*nodata*with NaN and do the reverse on output.

**-e**[**~**]*”pattern”***|****-e**[**~**]/*regexp*/[**i**] (more …)- Only accept data records that match the given pattern.

**-f**[**i**|**o**]*colinfo*(more …)- Specify data types of input and/or output columns.

**-g**[**a**]**x**|**y**|**d**|**X**|**Y**|**D**|[*col*]**z**[+|-]*gap*[**u**] (more …)- Determine data gaps and line breaks.

**-h**[**i**|**o**][*n*][**+c**][**+d**][**+r***remark*][**+r***title*] (more …)- Skip or produce header record(s).

**-i***cols*[**+l**][**+s***scale*][**+o***offset*][,*…*] (more …)- Select input columns and transformations (0 is first column).

**-o***cols*[,…] (more …)- Select output columns (0 is first column).

**-:**[**i**|**o**] (more …)- Swap 1st and 2nd column on input and/or output.

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

## ASCII Format Precision¶

The ASCII output formats of numerical data are controlled by parameters
in your gmt.conf file. Longitude and latitude are formatted
according to FORMAT_GEO_OUT, absolute time is
under the control of FORMAT_DATE_OUT and
FORMAT_CLOCK_OUT, whereas general floating point values are formatted
according to FORMAT_FLOAT_OUT. Be aware that the format in effect
can lead to loss of precision in ASCII output, which can lead to various
problems downstream. If you find the output is not written with enough
precision, consider switching to binary output (**-bo** if available) or
specify more decimals using the FORMAT_FLOAT_OUT setting.

## Examples¶

To filter the data set in the file cruise.gmtd containing evenly spaced gravity, magnetics, topography, and distance (in m) with a 10 km Gaussian filter, removing outliers, and output a filtered value every 2 km between 0 and 100 km:

gmt filter1d cruise.gmtd -T0/1.0e5/2000 -FG10000 -N3 -V > filtered_cruise.gmtd

Data along track often have uneven sampling and gaps which we do not want to interpolate using sample1d. To find the median depth in a 50 km window every 25 km along the track of cruise v3312, stored in v3312.dt, checking for gaps of 10km and asymmetry of 0.3:

gmt filter1d v3312.dt -FM50 -T0/100000/25 -L10 -S0.3 > v3312_filt.dt