TSdist (version 3.1)

example.database2: Example synthetic database with series belonging to different classes.

Description

Example synthetic database with series belonging to 6 different classes.

Usage

data(example.database2);

format

example.database2 a list conformed of the following two elements:

• data

{The 100 time series are stored in a numeric matrix, row-wise.} classes {A numerical vector of length 100 that takes values in {1,2,3,4,5,6}. Each element in the vector represents the class of one of the series.}

Details

example.database2 is a database conformed of 100 series of length 100 obtained from 6 different classes. Each class is represented by the following function: The class to which each series belongs is given in the classes vector.

• Class 1: random function

$$f1(t)=80+r(t)+n(t)$$

Class 2: periodic function

{$$f2(t)=80+15\sin(\frac{2\pi t + sh}{T})+n(t)$$}

Class 3: increasing linear trend

{$$f3(t)=f_3(t)=80+0.4t+n(t)+sh$$}

Class 4: decreasing linear trend

{$$f4(t)=80-0.4t+n(t)+sh$$}

Class 5: piecewise linear function which takes a value of $80+n(t)$ for the first L/2+sh of the series and a value of $90+n(t)$ for the rest of the points.

Class 6: piecewise linear function which takes a value of $90+n(t)$ for the first L/2+sh of the series and a value of $80+n(t)$ for the rest of the points.

$r(t)$ is a random value issued from a $N(0,3)$ distribution, $L$ is the length of the series, 100 in this case, and $T$ is the period and is defined as a third of the length of the series. $n(t)$ is a random noise obtained from a $N(0,2.8)$ distribution.. Finally, $sh$ is an integer value that takes a random value between $(-7,7)$ and shifts the series sh positions to the right or left, depending on the sign.

Examples

data(example.database2);


##  The "data" element of the list contains the time series, set in a row-wise format.

plot(example.database2$data)[1,]

##  The "classes" element in example.database2 contains the classes of the series: 

example.database2$classes