P2
Diff: LowpassFilter.cpp
- Revision:
- 0:bb408887ab78
diff -r 000000000000 -r bb408887ab78 LowpassFilter.cpp --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/LowpassFilter.cpp Fri Mar 09 15:29:36 2018 +0000 @@ -0,0 +1,112 @@ +/* + * LowpassFilter.cpp + * Copyright (c) 2018, ZHAW + * All rights reserved. + */ + +#include <cmath> +#include "LowpassFilter.h" + +using namespace std; + +/** + * Creates a LowpassFilter object with a default cutoff frequency of 1000 [rad/s]. + */ +LowpassFilter::LowpassFilter() { + + period = 1.0f; + frequency = 1000.0f; + + a11 = (1.0f+frequency*period)*exp(-frequency*period); + a12 = period*exp(-frequency*period); + a21 = -frequency*frequency*period*exp(-frequency*period); + a22 = (1.0f-frequency*period)*exp(-frequency*period); + b1 = (1.0f-(1.0f+frequency*period)*exp(-frequency*period))/frequency/frequency; + b2 = period*exp(-frequency*period); + + x1 = 0.0f; + x2 = 0.0f; +} + +/** + * Deletes the LowpassFilter object. + */ +LowpassFilter::~LowpassFilter() {} + +/** + * Resets the filtered value to zero. + */ +void LowpassFilter::reset() { + + x1 = 0.0f; + x2 = 0.0f; +} + +/** + * Resets the filtered value to a given value. + * @param value the value to reset the filter to. + */ +void LowpassFilter::reset(float value) { + + x1 = value/frequency/frequency; + x2 = (x1-a11*x1-b1*value)/a12; +} + +/** + * Sets the sampling period of the filter. + * This is typically the sampling period of the periodic task of a controller that uses this filter. + * @param the sampling period, given in [s]. + */ +void LowpassFilter::setPeriod(float period) { + + this->period = period; + + a11 = (1.0f+frequency*period)*exp(-frequency*period); + a12 = period*exp(-frequency*period); + a21 = -frequency*frequency*period*exp(-frequency*period); + a22 = (1.0f-frequency*period)*exp(-frequency*period); + b1 = (1.0f-(1.0f+frequency*period)*exp(-frequency*period))/frequency/frequency; + b2 = period*exp(-frequency*period); +} + +/** + * Sets the cutoff frequency of this filter. + * @param frequency the cutoff frequency of the filter in [rad/s]. + */ +void LowpassFilter::setFrequency(float frequency) { + + this->frequency = frequency; + + a11 = (1.0f+frequency*period)*exp(-frequency*period); + a12 = period*exp(-frequency*period); + a21 = -frequency*frequency*period*exp(-frequency*period); + a22 = (1.0f-frequency*period)*exp(-frequency*period); + b1 = (1.0f-(1.0f+frequency*period)*exp(-frequency*period))/frequency/frequency; + b2 = period*exp(-frequency*period); +} + +/** + * Gets the current cutoff frequency of this filter. + * @return the current cutoff frequency in [rad/s]. + */ +float LowpassFilter::getFrequency() { + + return frequency; +} + +/** + * Filters a value. + * @param value the original unfiltered value. + * @return the filtered value. + */ +float LowpassFilter::filter(float value) { + + float x1old = x1; + float x2old = x2; + + x1 = a11*x1old+a12*x2old+b1*value; + x2 = a21*x1old+a22*x2old+b2*value; + + return frequency*frequency*x1; +} +