Category Archives: Arduino

In this video lesson we show how to calibrate a QMC5883L 3-Axis magnetometer using python and PyQt5. The program presents the user with a visual representation of the magnetic vector, allowing more precise calibration of the sensors. We are using the GY-87 module, and it is connected like this:

MPU6050 — Schematic for connecting the GY-87 module to the Arduino

This is the simple code on the Arduino side, sending the raw magnetometer data:

#include <Adafruit_MPU6050.h>
#include <Adafruit_Sensor.h>
#include <Wire.h>
#include <QMC5883LCompass.h>
int x,y,z;
Adafruit_MPU6050 mpu;
QMC5883LCompass compass;
void setup() {
Serial.begin(115200);
mpu.begin();
mpu.setI2CBypass(true);
compass.init();
}
void loop() {
 compass.read();
 x = compass.getX();
 y = compass.getY();
 z = compass.getZ();
Serial.print(x);
Serial.print(',');
Serial.print(y);
Serial.print(',');
Serial.println(z);
 delay(100);
}

#include <Adafruit_MPU6050.h>

#include <Adafruit_Sensor.h>

#include <Wire.h>

#include <QMC5883LCompass.h>

int x,y,z;

Adafruit_MPU6050 mpu;

QMC5883LCompass compass;

void setup() {

Serial.begin(115200);

mpu.begin();

mpu.setI2CBypass(true);

compass.init();

}

void loop() {

compass.read();

x = compass.getX();

y = compass.getY();

z = compass.getZ();

Serial.print(x);

Serial.print(',');

Serial.print(y);

Serial.print(',');

Serial.println(z);

delay(100);

}

This is the calibration code, running on the Python side;

import serial
import numpy as np
from PyQt5 import QtWidgets, QtCore
import pyqtgraph as pg
serialPort = 'COM8'
baudRate =115200
to =.1
ser =serial.Serial(serialPort, baudRate, timeout=to)
maxPoints = 2000
xRaw = np.empty(0)
yRaw = np.empty(0)
zRaw = np.empty(0)

xCal = np.empty(0)
yCal = np.empty(0)
zCal = np.empty(0)

calibrated = False
offsets = np.zeros(3)
scales = np.ones(3)

app = QtWidgets.QApplication([])
mainWindow = QtWidgets.QWidget()
mainWindow.setWindowTitle("Magnetometer Calibratioin")
mainLayout =QtWidgets.QVBoxLayout()
mainWindow.setLayout(mainLayout)

statusLabel = QtWidgets.QLabel("Program Running: Not Calibrated")
statusLabel.setAlignment(QtCore.Qt.AlignCenter)
statusLabel.setStyleSheet("color: green; font-weight: bold; font-size: 20px;")
mainLayout.addWidget(statusLabel)

minMaxLabel=QtWidgets.QLabel("Min/Max: N/A")
minMaxLabel.setAlignment(QtCore.Qt.AlignCenter)
minMaxLabel.setStyleSheet("color: green; font-weight: bold; font-size: 16px;")
mainLayout.addWidget(minMaxLabel)

calibrateButton = QtWidgets.QPushButton("Start Calibration")
calibrateButton.setCheckable(True)
mainLayout.addWidget(calibrateButton)


plotLayout =QtWidgets.QGridLayout()
mainLayout.addLayout(plotLayout)
xyPlot = pg.PlotWidget(title="XY Plane")
yzPlot = pg.PlotWidget(title="YZ Plane")
xzPlot = pg.PlotWidget(title="XZ Plane")
for plot in [xyPlot, yzPlot, xzPlot]:
    plot.setAspectLocked(True)
    plot.showGrid(x=True, y=True)
    plot.setMinimumSize(300,300)
plotLayout.addWidget(xyPlot, 0,0)
plotLayout.addWidget(yzPlot, 0,1)
plotLayout.addWidget(xzPlot, 1,0)

xyScatter = pg.ScatterPlotItem(size=5)
yzScatter = pg.ScatterPlotItem(size=5)
xzScatter = pg.ScatterPlotItem(size=5)

xyPlot.addItem(xyScatter)
yzPlot.addItem(yzScatter)
xzPlot.addItem(xzScatter)

def toggleCalibration():
    global calibrated, xRaw, yRaw, zRaw, xCal, yCal, zCal, offsets, scales
    
    if calibrateButton.isChecked():
        calibrateButton.setText("Stop Calibration")
        statusLabel.setText("Mode: Calibration")
        statusLabel.setStyleSheet("color: red; font-weight: bold; font-size: 20px;")
        minMaxLabel.setText("Min/Max: collecting . . .")
        minMaxLabel.setStyleSheet("color: red; font-weight: bold; font-size: 16px;")
        calibrated = False
        xRaw = np.empty(0)
        yRaw = np.empty(0)
        zRaw = np.empty(0)
    if not calibrateButton.isChecked():
        calibrateButton.setText("Start Calibration")
        statusLabel.setText("Mode: Calibrated")
        statusLabel.setStyleSheet("color: green; font-weight: bold; font-size: 20px;")
        
        rawData = np.column_stack((xRaw,yRaw,zRaw))
        minVals = np.min(rawData, axis=0)
        maxVals = np.max(rawData, axis=0)
        offsets = (maxVals + minVals)/2
        scales = 2.0/(maxVals-minVals)
        minMaxLabel.setStyleSheet("color: green; font-weight: bold; font-size: 16px;")
        minMaxLabel.setText("Min(x,y,z: "+str(minVals.round(2))+" Max(x,y,z): "
                            +str(maxVals.round(2))+" Offsets(x,y,z): "+str(offsets.round(2))
                            +"Scales(x,y,z): "+str(scales.round(5)))
        print("Calibration Completed.")
        print("Offsets: ", offsets)
        print("Scales: ", scales)
        
        xCal = np.empty(0)
        yCal = np.empty(0)
        zCal = np.empty(0)
        calibrated = True

calibrateButton.clicked.connect(toggleCalibration)
        
def updatePlot():
    global xRaw, yRaw, zRaw, xCal, yCal, zCal
    if ser.in_waiting > 0:
        try:
            line= ser.readline().decode('utf-8').strip()
            values = line.split(',')
            if len(values)==3:
                x = float(values[0])
                y = float(values[1])
                z = float(values[2])
                if not calibrated:
                    xRaw =np.append(xRaw, x)[-maxPoints:]
                    yRaw =np.append(yRaw, y)[-maxPoints:]
                    zRaw =np.append(zRaw, z)[-maxPoints:]
                    xyScatter.setData(x=xRaw, y=yRaw, brush=pg.mkBrush(0,0,255,255))
                    yzScatter.setData(x=yRaw, y=zRaw, brush=pg.mkBrush(0,255,0,255))
                    xzScatter.setData(x=xRaw, y=zRaw, brush=pg.mkBrush(255,0,0,255))
                    
                    if len(xRaw)>10:
                        minVals = np.min(np.column_stack((xRaw,yRaw,zRaw)),axis=0)
                        maxVals = np.max(np.column_stack((xRaw,yRaw,zRaw)),axis=0)
                        
                        minMaxLabel.setStyleSheet("color: red; font-weight: bold; font-size: 16px;")
                        minMaxLabel.setText("Min(x,y,z: "+str(minVals.round(2))+" Max(x,y,z): "
                            +str(maxVals.round(2)))
                
                if calibrated:
                    xC= (x - offsets[0])*scales[0]
                    yC= (y - offsets[1])*scales[1]
                    zC= (z - offsets[2])*scales[2]
                    
                    xCal = np.append(xCal, xC)[-maxPoints:]
                    yCal = np.append(yCal, yC)[-maxPoints:]
                    zCal = np.append(zCal, zC)[-maxPoints:]
                    
                    xyScatter.setData(x=xCal, y=yCal, brush=pg.mkBrush(0,0,255,120))
                    yzScatter.setData(x=yCal, y=zCal, brush=pg.mkBrush(0,255,0,120))
                    xzScatter.setData(x=xCal, y=zCal, brush=pg.mkBrush(255,0,0,120))             
        
        except Exception as e:
            print("Parse Error: ", e)

plotTimer =QtCore.QTimer()
plotTimer.timeout.connect(updatePlot)
plotTimer.start(50)
mainWindow.show()
try:
    app.exec_()
finally:
    ser.close()

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import serial

import numpy as np

from PyQt5 import QtWidgets, QtCore

import pyqtgraph as pg

serialPort = 'COM8'

baudRate =115200

to =.1

ser =serial.Serial(serialPort, baudRate, timeout=to)

maxPoints = 2000

xRaw = np.empty(0)

yRaw = np.empty(0)

zRaw = np.empty(0)

xCal = np.empty(0)

yCal = np.empty(0)

zCal = np.empty(0)

calibrated = False

offsets = np.zeros(3)

scales = np.ones(3)

app = QtWidgets.QApplication([])

mainWindow = QtWidgets.QWidget()

mainWindow.setWindowTitle("Magnetometer Calibratioin")

mainLayout =QtWidgets.QVBoxLayout()

mainWindow.setLayout(mainLayout)

statusLabel = QtWidgets.QLabel("Program Running: Not Calibrated")

statusLabel.setAlignment(QtCore.Qt.AlignCenter)

statusLabel.setStyleSheet("color: green; font-weight: bold; font-size: 20px;")

mainLayout.addWidget(statusLabel)

minMaxLabel=QtWidgets.QLabel("Min/Max: N/A")

minMaxLabel.setAlignment(QtCore.Qt.AlignCenter)

minMaxLabel.setStyleSheet("color: green; font-weight: bold; font-size: 16px;")

mainLayout.addWidget(minMaxLabel)

calibrateButton = QtWidgets.QPushButton("Start Calibration")

calibrateButton.setCheckable(True)

mainLayout.addWidget(calibrateButton)

plotLayout =QtWidgets.QGridLayout()

mainLayout.addLayout(plotLayout)

xyPlot = pg.PlotWidget(title="XY Plane")

yzPlot = pg.PlotWidget(title="YZ Plane")

xzPlot = pg.PlotWidget(title="XZ Plane")

for plot in [xyPlot, yzPlot, xzPlot]:

plot.setAspectLocked(True)

plot.showGrid(x=True, y=True)

plot.setMinimumSize(300,300)

plotLayout.addWidget(xyPlot, 0,0)

plotLayout.addWidget(yzPlot, 0,1)

plotLayout.addWidget(xzPlot, 1,0)

xyScatter = pg.ScatterPlotItem(size=5)

yzScatter = pg.ScatterPlotItem(size=5)

xzScatter = pg.ScatterPlotItem(size=5)

xyPlot.addItem(xyScatter)

yzPlot.addItem(yzScatter)

xzPlot.addItem(xzScatter)

def toggleCalibration():

global calibrated, xRaw, yRaw, zRaw, xCal, yCal, zCal, offsets, scales

if calibrateButton.isChecked():

calibrateButton.setText("Stop Calibration")

statusLabel.setText("Mode: Calibration")

statusLabel.setStyleSheet("color: red; font-weight: bold; font-size: 20px;")

minMaxLabel.setText("Min/Max: collecting . . .")

minMaxLabel.setStyleSheet("color: red; font-weight: bold; font-size: 16px;")

calibrated = False

xRaw = np.empty(0)

yRaw = np.empty(0)

zRaw = np.empty(0)

if not calibrateButton.isChecked():

calibrateButton.setText("Start Calibration")

statusLabel.setText("Mode: Calibrated")

statusLabel.setStyleSheet("color: green; font-weight: bold; font-size: 20px;")

rawData = np.column_stack((xRaw,yRaw,zRaw))

minVals = np.min(rawData, axis=0)

maxVals = np.max(rawData, axis=0)

offsets = (maxVals + minVals)/2

scales = 2.0/(maxVals-minVals)

minMaxLabel.setStyleSheet("color: green; font-weight: bold; font-size: 16px;")

minMaxLabel.setText("Min(x,y,z: "+str(minVals.round(2))+" Max(x,y,z): "

+str(maxVals.round(2))+" Offsets(x,y,z): "+str(offsets.round(2))

+"Scales(x,y,z): "+str(scales.round(5)))

print("Calibration Completed.")

print("Offsets: ", offsets)

print("Scales: ", scales)

xCal = np.empty(0)

yCal = np.empty(0)

zCal = np.empty(0)

calibrated = True

calibrateButton.clicked.connect(toggleCalibration)

def updatePlot():

global xRaw, yRaw, zRaw, xCal, yCal, zCal

if ser.in_waiting > 0:

try:

line= ser.readline().decode('utf-8').strip()

values = line.split(',')

if len(values)==3:

x = float(values[0])

y = float(values[1])

z = float(values[2])

if not calibrated:

xRaw =np.append(xRaw, x)[-maxPoints:]

yRaw =np.append(yRaw, y)[-maxPoints:]

zRaw =np.append(zRaw, z)[-maxPoints:]

xyScatter.setData(x=xRaw, y=yRaw, brush=pg.mkBrush(0,0,255,255))

yzScatter.setData(x=yRaw, y=zRaw, brush=pg.mkBrush(0,255,0,255))

xzScatter.setData(x=xRaw, y=zRaw, brush=pg.mkBrush(255,0,0,255))

if len(xRaw)>10:

minVals = np.min(np.column_stack((xRaw,yRaw,zRaw)),axis=0)

maxVals = np.max(np.column_stack((xRaw,yRaw,zRaw)),axis=0)

minMaxLabel.setStyleSheet("color: red; font-weight: bold; font-size: 16px;")

minMaxLabel.setText("Min(x,y,z: "+str(minVals.round(2))+" Max(x,y,z): "

+str(maxVals.round(2)))

if calibrated:

xC= (x - offsets[0])*scales[0]

yC= (y - offsets[1])*scales[1]

zC= (z - offsets[2])*scales[2]

xCal = np.append(xCal, xC)[-maxPoints:]

yCal = np.append(yCal, yC)[-maxPoints:]

zCal = np.append(zCal, zC)[-maxPoints:]

xyScatter.setData(x=xCal, y=yCal, brush=pg.mkBrush(0,0,255,120))

yzScatter.setData(x=yCal, y=zCal, brush=pg.mkBrush(0,255,0,120))

xzScatter.setData(x=xCal, y=zCal, brush=pg.mkBrush(255,0,0,120))

except Exception as e:

print("Parse Error: ", e)

plotTimer =QtCore.QTimer()

plotTimer.timeout.connect(updatePlot)

plotTimer.start(50)

mainWindow.show()

try:

app.exec_()

finally:

ser.close()

Arduino

Calculating Roll, Pitch and Yaw from Gyros on Our Arduino MPU6050 IMU Project

August 28, 2025 admin

In this video lesson we will examine how we can calculate Roll, Pitch and Yaw from the MPU6050 IMU. For this lesson we calculate from just the Gyro measurements.

Below is the code which we developed in this lesson:

#include <Adafruit_MPU6050.h>
#include <Adafruit_Sensor.h>
#include <Wire.h>
float Ax;
float Ay;
float Az;

float Gx;
float Gy;
float Gz;

float rollG=0;
float pitchG=0;
float yawG=0;

int tStart = millis();

// If You want Calibrated results, you must rotate
// your board to all possible orientations, and
// record your velues of xMax, xMin, yMax, yMin
// zMax, zMin. I show you how to do that in LESSON
// 79 on my youtube channel. Put in your values and then
// uncomment the code below. Don't use my values, you have
// to measure your own for it to work.

// float xMax= 1.03;
// float xMin= -.97;
// float yMax= .98;
// float yMin= -1.01;
// float zMax=.96 ;
// float zMin= -1.08;

// float xOffset = (xMax+xMin)/2;
// float yOffset = (yMax+yMin)/2;
// float zOffset = (zMax+zMin)/2;

// float xScale = 2/(xMax -xMin);
// float yScale = 2/(yMax - yMin);
// float zScale = 2/(zMax -zMin);

float roll = 0;
float pitch = 0;
float rollRAW;
float pitchRAW;

Adafruit_MPU6050 mpu;

void setup() {
  // put your setup code here, to run once:
  Serial.begin(115200);
  mpu.begin();
  Serial.println("MPU6050 Started!");
  mpu.setAccelerometerRange(MPU6050_RANGE_2_G);
  mpu.setGyroRange(MPU6050_RANGE_250_DEG);
  mpu.setFilterBandwidth(MPU6050_BAND_21_HZ);

tStart = millis();
}

void loop() {
  // put your main code here, to run repeatedly:
  sensors_event_t a, g, temp;
  mpu.getEvent(&a, &g, &temp);
  Ax = a.acceleration.x / 9.81;
  Ay = a.acceleration.y / 9.81;
  Az = a.acceleration.z / 9.81;

  Gx = g.gyro.x;
  Gy = g.gyro.y;
  Gz = g.gyro.z;

rollG = rollG + (millis() - tStart)/1000. * Gy *360./2./3.14;
pitchG = pitchG + (millis() - tStart)/1000. * Gx *360./2./3.14;
yawG = yawG + (millis() - tStart)/1000. * Gz *360./2./3.14;
tStart = millis();

  //Uncomment these lines of code to do the callibration
  //This will only work if you have measured your max
  //and min values, and put them in at the top of the code
  // Ax = xScale*(Ax-xOffset);
  // Ay = yScale*(Ay-yOffset);
  // Az = zScale*(Az-zOffset);

  pitchRAW = atan2(Ay, sqrt(Az * Az + Ax * Ax)) * 360 / (2 * 3.14);
  rollRAW = atan2(Ax, sqrt(Az * Az + Ay * Ay)) * 360 / (2 * 3.14);

  pitch = .75 * pitch + .25 * pitchRAW;
  roll = .75 * roll + .25 * rollRAW;

  Serial.print("Gx:");
  Serial.print(Gx);
  Serial.print(',');
  Serial.print("Gy:");
  Serial.print(Gy);
  Serial.print(',');
  Serial.print("Gz:");
  Serial.print(Gz);
  Serial.print(',');
  Serial.print("rollG:");
  Serial.print(rollG);
  Serial.print(',');
  Serial.print("pitchG:");
  Serial.print(pitchG);
  Serial.print(',');
  Serial.print("yawG:");
  Serial.print(yawG);
  Serial.print(',');
  Serial.print("UL:");
  Serial.print(45);
  Serial.print(',');
  Serial.print("LL:");
  Serial.println(-45);

  //   Serial.print("Ax:");
  //   Serial.print(Ax);
  //   Serial.print(',');
  //   Serial.print("Ay:");
  //   Serial.print(Ay);
  //   Serial.print(',');
  //     Serial.print("Az:");
  //   Serial.print(Az);
  //   Serial.print(',');
  //  Serial.print("UL:");
  //  Serial.print(1);
  //  Serial.print(',');
  //  Serial.print("LL:");
  //  Serial.println(-1);
  delay(10);
}

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#include <Adafruit_MPU6050.h>

#include <Adafruit_Sensor.h>

#include <Wire.h>

float Ax;

float Ay;

float Az;

float Gx;

float Gy;

float Gz;

float rollG=0;

float pitchG=0;

float yawG=0;

int tStart = millis();

// If You want Calibrated results, you must rotate

// your board to all possible orientations, and

// record your velues of xMax, xMin, yMax, yMin

// zMax, zMin. I show you how to do that in LESSON

// 79 on my youtube channel. Put in your values and then

// uncomment the code below. Don't use my values, you have

// to measure your own for it to work.

// float xMax= 1.03;

// float xMin= -.97;

// float yMax= .98;

// float yMin= -1.01;

// float zMax=.96 ;

// float zMin= -1.08;

// float xOffset = (xMax+xMin)/2;

// float yOffset = (yMax+yMin)/2;

// float zOffset = (zMax+zMin)/2;

// float xScale = 2/(xMax -xMin);

// float yScale = 2/(yMax - yMin);

// float zScale = 2/(zMax -zMin);

float roll = 0;

float pitch = 0;

float rollRAW;

float pitchRAW;

Adafruit_MPU6050 mpu;

void setup() {

// put your setup code here, to run once:

Serial.begin(115200);

mpu.begin();

Serial.println("MPU6050 Started!");

mpu.setAccelerometerRange(MPU6050_RANGE_2_G);

mpu.setGyroRange(MPU6050_RANGE_250_DEG);

mpu.setFilterBandwidth(MPU6050_BAND_21_HZ);

tStart = millis();

}

void loop() {

// put your main code here, to run repeatedly:

sensors_event_t a, g, temp;

mpu.getEvent(&a, &g, &temp);

Ax = a.acceleration.x / 9.81;

Ay = a.acceleration.y / 9.81;

Az = a.acceleration.z / 9.81;

Gx = g.gyro.x;

Gy = g.gyro.y;

Gz = g.gyro.z;

rollG = rollG + (millis() - tStart)/1000. * Gy *360./2./3.14;

pitchG = pitchG + (millis() - tStart)/1000. * Gx *360./2./3.14;

yawG = yawG + (millis() - tStart)/1000. * Gz *360./2./3.14;

tStart = millis();

//Uncomment these lines of code to do the callibration

//This will only work if you have measured your max

//and min values, and put them in at the top of the code

// Ax = xScale*(Ax-xOffset);

// Ay = yScale*(Ay-yOffset);

// Az = zScale*(Az-zOffset);

pitchRAW = atan2(Ay, sqrt(Az * Az + Ax * Ax)) * 360 / (2 * 3.14);

rollRAW = atan2(Ax, sqrt(Az * Az + Ay * Ay)) * 360 / (2 * 3.14);

pitch = .75 * pitch + .25 * pitchRAW;

roll = .75 * roll + .25 * rollRAW;

Serial.print("Gx:");

Serial.print(Gx);

Serial.print(',');

Serial.print("Gy:");

Serial.print(Gy);

Serial.print(',');

Serial.print("Gz:");

Serial.print(Gz);

Serial.print(',');

Serial.print("rollG:");

Serial.print(rollG);

Serial.print(',');

Serial.print("pitchG:");

Serial.print(pitchG);

Serial.print(',');

Serial.print("yawG:");

Serial.print(yawG);

Serial.print(',');

Serial.print("UL:");

Serial.print(45);

Serial.print(',');

Serial.print("LL:");

Serial.println(-45);

// Serial.print("Ax:");

// Serial.print(Ax);

// Serial.print(',');

// Serial.print("Ay:");

// Serial.print(Ay);

// Serial.print(',');

// Serial.print("Az:");

// Serial.print(Az);

// Serial.print(',');

// Serial.print("UL:");

// Serial.print(1);

// Serial.print(',');

// Serial.print("LL:");

// Serial.println(-1);

delay(10);

}

Arduino, Tutorial

Using Arduino and MPU6050 to Measure Rotational Velocity with the Gyros

August 21, 2025 admin

In this video lesson I show you how you can measure rotational velocity using the gyroscopes on the MPU6050 IMU module on the GY-87 board.

Below is the code which we develop in this lesson.

#include <Adafruit_MPU6050.h>
#include <Adafruit_Sensor.h>
#include <Wire.h>
float Ax;
float Ay;
float Az;

float Gx;
float Gy;
float Gz;

// If You want Calibrated results, you must rotate
// your board to all possible orientations, and
// record your velues of xMax, xMin, yMax, yMin
// zMax, zMin. I show you how to do that in LESSON
// 79 on my youtube channel. Put in your values and then
// uncomment the code below. Don't use my values, you have
// to measure your own for it to work.

// float xMax= 1.03;
// float xMin= -.97;
// float yMax= .98;
// float yMin= -1.01;
// float zMax=.96 ;
// float zMin= -1.08;

// float xOffset = (xMax+xMin)/2;
// float yOffset = (yMax+yMin)/2;
// float zOffset = (zMax+zMin)/2;

// float xScale = 2/(xMax -xMin);
// float yScale = 2/(yMax - yMin);
// float zScale = 2/(zMax -zMin);

float roll = 0;
float pitch = 0;
float rollRAW;
float pitchRAW;

Adafruit_MPU6050 mpu;

void setup() {
  // put your setup code here, to run once:
  Serial.begin(115200);
  mpu.begin();
  Serial.println("MPU6050 Started!");
  mpu.setAccelerometerRange(MPU6050_RANGE_2_G);
  mpu.setGyroRange(MPU6050_RANGE_250_DEG);
  mpu.setFilterBandwidth(MPU6050_BAND_21_HZ);
}

void loop() {
  // put your main code here, to run repeatedly:
  sensors_event_t a, g, temp;
  mpu.getEvent(&a, &g, &temp);
  Ax = a.acceleration.x / 9.81;
  Ay = a.acceleration.y / 9.81;
  Az = a.acceleration.z / 9.81;

  Gx = g.gyro.x;
  Gy = g.gyro.y;
  Gz = g.gyro.z;



  //Uncomment these lines of code to do the callibration
  //This will only work if you have measured your max
  //and min values, and put them in at the top of the code
  // Ax = xScale*(Ax-xOffset);
  // Ay = yScale*(Ay-yOffset);
  // Az = zScale*(Az-zOffset);

  pitchRAW = atan2(Ay, sqrt(Az * Az + Ax * Ax)) * 360 / (2 * 3.14);
  rollRAW = atan2(Ax, sqrt(Az * Az + Ay * Ay)) * 360 / (2 * 3.14);

  pitch = .75 * pitch + .25 * pitchRAW;
  roll = .75 * roll + .25 * rollRAW;

  Serial.print("Gx:");
  Serial.print(Gx);
  Serial.print(',');
  Serial.print("Gy:");
  Serial.print(Gy);
  Serial.print(',');
  Serial.print("Gz:");
  Serial.print(Gz);
  Serial.print(',');
  Serial.print("UL:");
  Serial.print(5);
  Serial.print(',');
  Serial.print("LL:");
  Serial.println(-5);

  //   Serial.print("Ax:");
  //   Serial.print(Ax);
  //   Serial.print(',');
  //   Serial.print("Ay:");
  //   Serial.print(Ay);
  //   Serial.print(',');
  //     Serial.print("Az:");
  //   Serial.print(Az);
  //   Serial.print(',');
  //  Serial.print("UL:");
  //  Serial.print(1);
  //  Serial.print(',');
  //  Serial.print("LL:");
  //  Serial.println(-1);
  delay(10);
}

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#include <Adafruit_MPU6050.h>

#include <Adafruit_Sensor.h>

#include <Wire.h>

float Ax;

float Ay;

float Az;

float Gx;

float Gy;

float Gz;

// If You want Calibrated results, you must rotate

// your board to all possible orientations, and

// record your velues of xMax, xMin, yMax, yMin

// zMax, zMin. I show you how to do that in LESSON

// 79 on my youtube channel. Put in your values and then

// uncomment the code below. Don't use my values, you have

// to measure your own for it to work.

// float xMax= 1.03;

// float xMin= -.97;

// float yMax= .98;

// float yMin= -1.01;

// float zMax=.96 ;

// float zMin= -1.08;

// float xOffset = (xMax+xMin)/2;

// float yOffset = (yMax+yMin)/2;

// float zOffset = (zMax+zMin)/2;

// float xScale = 2/(xMax -xMin);

// float yScale = 2/(yMax - yMin);

// float zScale = 2/(zMax -zMin);

float roll = 0;

float pitch = 0;

float rollRAW;

float pitchRAW;

Adafruit_MPU6050 mpu;

void setup() {

// put your setup code here, to run once:

Serial.begin(115200);

mpu.begin();

Serial.println("MPU6050 Started!");

mpu.setAccelerometerRange(MPU6050_RANGE_2_G);

mpu.setGyroRange(MPU6050_RANGE_250_DEG);

mpu.setFilterBandwidth(MPU6050_BAND_21_HZ);

}

void loop() {

// put your main code here, to run repeatedly:

sensors_event_t a, g, temp;

mpu.getEvent(&a, &g, &temp);

Ax = a.acceleration.x / 9.81;

Ay = a.acceleration.y / 9.81;

Az = a.acceleration.z / 9.81;

Gx = g.gyro.x;

Gy = g.gyro.y;

Gz = g.gyro.z;

//Uncomment these lines of code to do the callibration

//This will only work if you have measured your max

//and min values, and put them in at the top of the code

// Ax = xScale*(Ax-xOffset);

// Ay = yScale*(Ay-yOffset);

// Az = zScale*(Az-zOffset);

pitchRAW = atan2(Ay, sqrt(Az * Az + Ax * Ax)) * 360 / (2 * 3.14);

rollRAW = atan2(Ax, sqrt(Az * Az + Ay * Ay)) * 360 / (2 * 3.14);

pitch = .75 * pitch + .25 * pitchRAW;

roll = .75 * roll + .25 * rollRAW;

Serial.print("Gx:");

Serial.print(Gx);

Serial.print(',');

Serial.print("Gy:");

Serial.print(Gy);

Serial.print(',');

Serial.print("Gz:");

Serial.print(Gz);

Serial.print(',');

Serial.print("UL:");

Serial.print(5);

Serial.print(',');

Serial.print("LL:");

Serial.println(-5);

// Serial.print("Ax:");

// Serial.print(Ax);

// Serial.print(',');

// Serial.print("Ay:");

// Serial.print(Ay);

// Serial.print(',');

// Serial.print("Az:");

// Serial.print(Az);

// Serial.print(',');

// Serial.print("UL:");

// Serial.print(1);

// Serial.print(',');

// Serial.print("LL:");

// Serial.println(-1);

delay(10);

}

Arduino

Applying a Low Pass Filter to Roll and Pitch Calculations on the MPU6050

August 14, 2025 admin

In today’s video lesson we show how you can remove the vibration noise from your roll and pitch values using a low pass filter. The filter removes the high frequency noise resulting from vibrations.

Below is the code we developed in this lesson.

#include <Adafruit_MPU6050.h>
#include <Adafruit_Sensor.h>
#include <Wire.h>
float Ax;
float Ay;
float Az;

// If You want Calibrated results, you must rotate
// your board to all possible orientations, and 
// record your velues of xMax, xMin, yMax, yMin
// zMax, zMin. I show you how to do that in LESSON
// 79 on my youtube channel. Put in your values and then
// uncomment the code below. Don't use my values, you have
// to measure your own for it to work.

// float xMax= 1.03;
// float xMin= -.97;
// float yMax= .98;
// float yMin= -1.01;
// float zMax=.96 ;
// float zMin= -1.08;

// float xOffset = (xMax+xMin)/2;
// float yOffset = (yMax+yMin)/2;
// float zOffset = (zMax+zMin)/2;

// float xScale = 2/(xMax -xMin);
// float yScale = 2/(yMax - yMin);
// float zScale = 2/(zMax -zMin);

float roll=0;
float pitch=0;
float rollRAW;
float pitchRAW;

Adafruit_MPU6050 mpu;

void setup() {
  // put your setup code here, to run once:
  Serial.begin(115200);
  mpu.begin();
  Serial.println("MPU6050 Started!");
  mpu.setAccelerometerRange(MPU6050_RANGE_2_G);
  mpu.setFilterBandwidth(MPU6050_BAND_21_HZ);


}

void loop() {
  // put your main code here, to run repeatedly:
  sensors_event_t a, g, temp;
  mpu.getEvent(&a, &g, &temp);
  Ax=a.acceleration.x/9.81;
  Ay=a.acceleration.y/9.81;
  Az=a.acceleration.z/9.81;

//Uncomment these lines of code to do the callibration
//This will only work if you have measured your max
//and min values, and put them in at the top of the code
  // Ax = xScale*(Ax-xOffset);
  // Ay = yScale*(Ay-yOffset);
  // Az = zScale*(Az-zOffset);

  pitchRAW = atan2(Ay,sqrt(Az*Az+Ax*Ax))*360/(2*3.14);
  rollRAW = atan2(Ax,sqrt(Az*Az+Ay*Ay))*360/(2*3.14);

  pitch = .75*pitch + .25*pitchRAW;
  roll = .75*roll + .25*rollRAW;

  Serial.print("RollRAW:");
  Serial.print(rollRAW);
  Serial.print(',');
  Serial.print("PitchRAW:");
  Serial.print(pitchRAW);
    Serial.print(',');
  Serial.print("Roll:");
  Serial.print(roll);
  Serial.print(',');
  Serial.print("Pitch:");
  Serial.print(pitch);
    Serial.print(',');
   Serial.print("UL:");
 Serial.print(90);
 Serial.print(',');
 Serial.print("LL:");
 Serial.println(-90);



//   Serial.print("Ax:");
//   Serial.print(Ax);
//   Serial.print(',');
//   Serial.print("Ay:");
//   Serial.print(Ay);
//   Serial.print(',');
//     Serial.print("Az:");
//   Serial.print(Az);
//   Serial.print(',');
//  Serial.print("UL:");
//  Serial.print(1);
//  Serial.print(',');
//  Serial.print("LL:");
//  Serial.println(-1);

  delay(50);

}

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#include <Adafruit_MPU6050.h>

#include <Adafruit_Sensor.h>

#include <Wire.h>

float Ax;

float Ay;

float Az;

// If You want Calibrated results, you must rotate

// your board to all possible orientations, and

// record your velues of xMax, xMin, yMax, yMin

// zMax, zMin. I show you how to do that in LESSON

// 79 on my youtube channel. Put in your values and then

// uncomment the code below. Don't use my values, you have

// to measure your own for it to work.

// float xMax= 1.03;

// float xMin= -.97;

// float yMax= .98;

// float yMin= -1.01;

// float zMax=.96 ;

// float zMin= -1.08;

// float xOffset = (xMax+xMin)/2;

// float yOffset = (yMax+yMin)/2;

// float zOffset = (zMax+zMin)/2;

// float xScale = 2/(xMax -xMin);

// float yScale = 2/(yMax - yMin);

// float zScale = 2/(zMax -zMin);

float roll=0;

float pitch=0;

float rollRAW;

float pitchRAW;

Adafruit_MPU6050 mpu;

void setup() {

// put your setup code here, to run once:

Serial.begin(115200);

mpu.begin();

Serial.println("MPU6050 Started!");

mpu.setAccelerometerRange(MPU6050_RANGE_2_G);

mpu.setFilterBandwidth(MPU6050_BAND_21_HZ);

}

void loop() {

// put your main code here, to run repeatedly:

sensors_event_t a, g, temp;

mpu.getEvent(&a, &g, &temp);

Ax=a.acceleration.x/9.81;

Ay=a.acceleration.y/9.81;

Az=a.acceleration.z/9.81;

//Uncomment these lines of code to do the callibration

//This will only work if you have measured your max

//and min values, and put them in at the top of the code

// Ax = xScale*(Ax-xOffset);

// Ay = yScale*(Ay-yOffset);

// Az = zScale*(Az-zOffset);

pitchRAW = atan2(Ay,sqrt(Az*Az+Ax*Ax))*360/(2*3.14);

rollRAW = atan2(Ax,sqrt(Az*Az+Ay*Ay))*360/(2*3.14);

pitch = .75*pitch + .25*pitchRAW;

roll = .75*roll + .25*rollRAW;

Serial.print("RollRAW:");

Serial.print(rollRAW);

Serial.print(',');

Serial.print("PitchRAW:");

Serial.print(pitchRAW);

Serial.print(',');

Serial.print("Roll:");

Serial.print(roll);

Serial.print(',');

Serial.print("Pitch:");

Serial.print(pitch);

Serial.print(',');

Serial.print("UL:");

Serial.print(90);

Serial.print(',');

Serial.print("LL:");

Serial.println(-90);

// Serial.print("Ax:");

// Serial.print(Ax);

// Serial.print(',');

// Serial.print("Ay:");

// Serial.print(Ay);

// Serial.print(',');

// Serial.print("Az:");

// Serial.print(Az);

// Serial.print(',');

// Serial.print("UL:");

// Serial.print(1);

// Serial.print(',');

// Serial.print("LL:");

// Serial.println(-1);

delay(50);

}

Arduino

Using Arduino to Calculate Roll and Pitch from MPU6050 3-axis Accelerometers

August 7, 2025 admin

In this video lesson we show you how to take the calibrated accelerometer data from the MPU6050 and use it to calculate the tilt of the board. We can calculate tilt in two axis, or the roll and the pitch. This is the schematic for the project:

This is the code we developed in the video to calculate the roll and pitch from the three axis accelerometer data.

#include <Adafruit_MPU6050.h>
#include <Adafruit_Sensor.h>
#include <Wire.h>
float Ax;
float Ay;
float Az;

// If You want Calibrated results, you must rotate
// your board to all possible orientations, and 
// record your velues of xMax, xMin, yMax, yMin
// zMax, zMin. I show you how to do that in LESSON
// 79 on my youtube channel. Put in your values and then
// uncomment the code below. Don't use my values, you have
// to measure your own for it to work.

// float xMax= 1.03;
// float xMin= -.97;
// float yMax= .98;
// float yMin= -1.01;
// float zMax=.96 ;
// float zMin= -1.08;

// float xOffset = (xMax+xMin)/2;
// float yOffset = (yMax+yMin)/2;
// float zOffset = (zMax+zMin)/2;

// float xScale = 2/(xMax -xMin);
// float yScale = 2/(yMax - yMin);
// float zScale = 2/(zMax -zMin);

float roll;
float pitch;

Adafruit_MPU6050 mpu;

void setup() {
  // put your setup code here, to run once:
  Serial.begin(115200);
  mpu.begin();
  Serial.println("MPU6050 Started!");
  mpu.setAccelerometerRange(MPU6050_RANGE_2_G);
  mpu.setFilterBandwidth(MPU6050_BAND_21_HZ);


}

void loop() {
  // put your main code here, to run repeatedly:
  sensors_event_t a, g, temp;
  mpu.getEvent(&a, &g, &temp);
  Ax=a.acceleration.x/9.81;
  Ay=a.acceleration.y/9.81;
  Az=a.acceleration.z/9.81;

//Uncomment these lines of code to do the callibration
//This will only work if you have measured your max
//and min values, and put them in at the top of the code
  // Ax = xScale*(Ax-xOffset);
  // Ay = yScale*(Ay-yOffset);
  // Az = zScale*(Az-zOffset);

  pitch = atan2(Ay,sqrt(Az*Az+Ax*Ax))*360/(2*3.14);
  roll = atan2(Ax,sqrt(Az*Az+Ay*Ay))*360/(2*3.14);

  Serial.print("Roll:");
  Serial.print(roll);
  Serial.print(',');
  Serial.print("Pitch:");
  Serial.print(pitch);
    Serial.print(',');
   Serial.print("UL:");
 Serial.print(90);
 Serial.print(',');
 Serial.print("LL:");
 Serial.println(-90);



//   Serial.print("Ax:");
//   Serial.print(Ax);
//   Serial.print(',');
//   Serial.print("Ay:");
//   Serial.print(Ay);
//   Serial.print(',');
//     Serial.print("Az:");
//   Serial.print(Az);
//   Serial.print(',');
//  Serial.print("UL:");
//  Serial.print(1);
//  Serial.print(',');
//  Serial.print("LL:");
//  Serial.println(-1);

  delay(50);

}

#include <Adafruit_MPU6050.h>

#include <Adafruit_Sensor.h>

#include <Wire.h>

float Ax;

float Ay;

float Az;

// If You want Calibrated results, you must rotate

// your board to all possible orientations, and

// record your velues of xMax, xMin, yMax, yMin

// zMax, zMin. I show you how to do that in LESSON

// 79 on my youtube channel. Put in your values and then

// uncomment the code below. Don't use my values, you have

// to measure your own for it to work.

// float xMax= 1.03;

// float xMin= -.97;

// float yMax= .98;

// float yMin= -1.01;

// float zMax=.96 ;

// float zMin= -1.08;

// float xOffset = (xMax+xMin)/2;

// float yOffset = (yMax+yMin)/2;

// float zOffset = (zMax+zMin)/2;

// float xScale = 2/(xMax -xMin);

// float yScale = 2/(yMax - yMin);

// float zScale = 2/(zMax -zMin);

float roll;

float pitch;

Adafruit_MPU6050 mpu;

void setup() {

// put your setup code here, to run once:

Serial.begin(115200);

mpu.begin();

Serial.println("MPU6050 Started!");

mpu.setAccelerometerRange(MPU6050_RANGE_2_G);

mpu.setFilterBandwidth(MPU6050_BAND_21_HZ);

}

void loop() {

// put your main code here, to run repeatedly:

sensors_event_t a, g, temp;

mpu.getEvent(&a, &g, &temp);

Ax=a.acceleration.x/9.81;

Ay=a.acceleration.y/9.81;

Az=a.acceleration.z/9.81;

//Uncomment these lines of code to do the callibration

//This will only work if you have measured your max

//and min values, and put them in at the top of the code

// Ax = xScale*(Ax-xOffset);

// Ay = yScale*(Ay-yOffset);

// Az = zScale*(Az-zOffset);

pitch = atan2(Ay,sqrt(Az*Az+Ax*Ax))*360/(2*3.14);

roll = atan2(Ax,sqrt(Az*Az+Ay*Ay))*360/(2*3.14);

Serial.print("Roll:");

Serial.print(roll);

Serial.print(',');

Serial.print("Pitch:");

Serial.print(pitch);

Serial.print(',');

Serial.print("UL:");

Serial.print(90);

Serial.print(',');

Serial.print("LL:");

Serial.println(-90);

// Serial.print("Ax:");

// Serial.print(Ax);

// Serial.print(',');

// Serial.print("Ay:");

// Serial.print(Ay);

// Serial.print(',');

// Serial.print("Az:");

// Serial.print(Az);

// Serial.print(',');

// Serial.print("UL:");

// Serial.print(1);

// Serial.print(',');

// Serial.print("LL:");

// Serial.println(-1);

delay(50);

}

Technology Tutorials

Category Archives: Arduino

Python PyQt5 Magnetometer Calibration Program

Calculating Roll, Pitch and Yaw from Gyros on Our Arduino MPU6050 IMU Project

Using Arduino and MPU6050 to Measure Rotational Velocity with the Gyros

Applying a Low Pass Filter to Roll and Pitch Calculations on the MPU6050

Using Arduino to Calculate Roll and Pitch from MPU6050 3-axis Accelerometers

Making The World a Better Place One High Tech Project at a Time. Enjoy!