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math::filters

Digital filters

literal type exactly as shown argument replace with your value ?optional? may be omitted

Synopsis#

package require Tcl 8.6 9

package require TclOO

package require math::filters ?0.3?

::math::filters::filterButterworth lowpass order samplefreq cutofffreq

::math::filters::filter coeffs data

::math::filters::filterObj new coeffs yinit

$filterObj filter x

$filterObj reset

Description#

The math::filters package implements digital filters, notably Butterworth low-pass and high-pass filters. The procedures allow to filter an entire data series as well as filter data one by one.

Procedures#

The package defines the following public procedures:

::math::filters::filterButterworth lowpass order samplefreq cutofffreq#

Determine the coefficients for a Butterworth filter of given order. The coefficients are returned as a list of the x-coefficients, the y-coefficients and the scale. The formula is (n is the filter order):

                   n             n
    scale * y_k = sum x_(k-i) + sum y_(k-i)
                  i=0           i=1
bool lowpass

Generate a low-pass filter (1) or a high-pass filter (0)

integer lowpass

The order of the filter to be generated

double samplefreq

Sampling frequency of the data series

double cutofffreq

Cut-off frequency for the filter

::math::filters::filter coeffs data#

Filter the entire data series based on the filter coefficients.

list coeffs

List of coefficients as generated by filterButterworth (or in fact any similar list of coefficients)

list data

Data to be filtered

::math::filters::filterObj new coeffs yinit#

Create a filter object. The initial x data are taken as zero. The initial y data can be prescribed. If they are not given, they are taken as zero as well.

list coeffs

List of coefficients as generated by filterButterworth (or in fact any similar list of coefficients)

list yinit

(Optional) initial data for the filter result.

$filterObj filter x

Filter a single value and return the result.

double x

The value to be filtered

$filterObj reset

Reset the filter object (start anew)

Category#

Mathematics

Copyright (c) 2020 by Arjen Markus

Keywords#

digital · filtering