All the data for analysis comes from Human Activity Recognition Using Smartphones Dataset and was transformed to get the average values of mean and standard deviation for each activity and each subject.
All data comes from the accelerometer and gyroscope 3-axial raw signals tAcc-XYZ and tGyro-XYZ. These time domain signals (prefix 't' to denote time) were captured at a constant rate of 50 Hz. Then they were filtered using a median filter and a 3rd order low pass Butterworth filter with a corner frequency of 20 Hz to remove noise. Similarly, the acceleration signal was then separated into body and gravity acceleration signals (tBodyAcc-XYZ and tGravityAcc-XYZ) using another low pass Butterworth filter with a corner frequency of 0.3 Hz.
Subsequently, the body linear acceleration and angular velocity were derived in time to obtain Jerk signals (tBodyAccJerk-XYZ and tBodyGyroJerk-XYZ). Also the magnitude of these three-dimensional signals were calculated using the Euclidean norm (tBodyAccMag, tGravityAccMag, tBodyAccJerkMag, tBodyGyroMag, tBodyGyroJerkMag).
Finally a Fast Fourier Transform (FFT) was applied to some of these signals producing fBodyAcc-XYZ, fBodyAccJerk-XYZ, fBodyGyro-XYZ, fBodyAccJerkMag, fBodyGyroMag, fBodyGyroJerkMag. (Note the 'f' to indicate frequency domain signals).
These signals were used to estimate variables of the feature vector for each pattern: '-XYZ' is used to denote 3-axial signals in the X, Y and Z directions.
- tBodyAcc-XYZ
- tGravityAcc-XYZ
- tBodyAccJerk-XYZ
- tBodyGyro-XYZ
- tBodyGyroJerk-XYZ
- tBodyAccMag
- tGravityAccMag
- tBodyAccJerkMag
- tBodyGyroMag
- tBodyGyroJerkMag
- fBodyAcc-XYZ
- fBodyAccJerk-XYZ
- fBodyGyro-XYZ
- fBodyAccMag
- fBodyAccJerkMag
- fBodyGyroMag
- fBodyGyroJerkMag
The set of variables that were estimated from these signals are:
- mean(): Mean value
- std(): Standard deviation
After all, the data was grouped by Subject and Activity and the average value of each measurement was calculated.
- Subject
- Activity
- tBodyAcc-mean()-X
- tBodyAcc-mean()-Y
- tBodyAcc-mean()-Z
- tBodyAcc-std()-X
- tBodyAcc-std()-Y
- tBodyAcc-std()-Z
- tGravityAcc-mean()-X
- tGravityAcc-mean()-Y
- tGravityAcc-mean()-Z
- tGravityAcc-std()-X
- tGravityAcc-std()-Y
- tGravityAcc-std()-Z
- tBodyAccJerk-mean()-X
- tBodyAccJerk-mean()-Y
- tBodyAccJerk-mean()-Z
- tBodyAccJerk-std()-X
- tBodyAccJerk-std()-Y
- tBodyAccJerk-std()-Z
- tBodyGyro-mean()-X
- tBodyGyro-mean()-Y
- tBodyGyro-mean()-Z
- tBodyGyro-std()-X
- tBodyGyro-std()-Y
- tBodyGyro-std()-Z
- tBodyGyroJerk-mean()-X
- tBodyGyroJerk-mean()-Y
- tBodyGyroJerk-mean()-Z
- tBodyGyroJerk-std()-X
- tBodyGyroJerk-std()-Y
- tBodyGyroJerk-std()-Z
- tBodyAccMag-mean()
- tBodyAccMag-std()
- tGravityAccMag-mean()
- tGravityAccMag-std()
- tBodyAccJerkMag-mean()
- tBodyAccJerkMag-std()
- tBodyGyroMag-mean()
- tBodyGyroMag-std()
- tBodyGyroJerkMag-mean()
- tBodyGyroJerkMag-std()
- fBodyAcc-mean()-X
- fBodyAcc-mean()-Y
- fBodyAcc-mean()-Z
- fBodyAcc-std()-X
- fBodyAcc-std()-Y
- fBodyAcc-std()-Z
- fBodyAccJerk-mean()-X
- fBodyAccJerk-mean()-Y
- fBodyAccJerk-mean()-Z
- fBodyAccJerk-std()-X
- fBodyAccJerk-std()-Y
- fBodyAccJerk-std()-Z
- fBodyGyro-mean()-X
- fBodyGyro-mean()-Y
- fBodyGyro-mean()-Z
- fBodyGyro-std()-X
- fBodyGyro-std()-Y
- fBodyGyro-std()-Z
- fBodyAccMag-mean()
- fBodyAccMag-std()
- fBodyBodyAccJerkMag-mean()
- fBodyBodyAccJerkMag-std()
- fBodyBodyGyroMag-mean()
- fBodyBodyGyroMag-std()
- fBodyBodyGyroJerkMag-mean()
- fBodyBodyGyroJerkMag-std()