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catch22 Features

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Consecutive Stretches

`SB_BinaryStats_mean_longstretch1`

measures the longest successive period of above-average values.- (the
`longstretch1`

output from running`SB_BinaryStats(x_z,'mean')`

in*hctsa*);

`SB_BinaryStats_diff_longstretch0`

measures the longest successive period of successive decreases.- (the
`longstretch0`

output from running`SB_BinaryStats(x_z,'diff')`

in*hctsa*).

`SB_BinaryStats_mean_longstretch1`

computes the longest sequence of successive values in the time series that are greater than the mean. Algorithmically, this is achieved in two steps:- 1.Transform the time series into a binary sequence: time-series values that are greater than the mean are set to
`1`

and time-series values that are less than or equal to the mean are set to`0`

. - 2.Return the longest sequence of successive values that are
`1`

.

- Low values are given to time series that tend not to linger too much on either side of the mean, like this moving average process, which has a maximum duration of 8 samples (red) above the mean (zero: dashed line):

- High values are given to time series that have at least one long duration of time spent above the mean, like this stochastic sine map (107 successive time points above the mean):

`SB_BinaryStats_diff_longstretch0`

is similar to the above, but it calculates the longest sequence of successive steps in the time series that - 1.Transform the time series into a binary sequence: each time-series value is converted to a
`1`

if it is higher than the previous time point, and`0`

if it is lower than the previous time point (starting from the second point in the time series, and thus yielding a sequence of length`N-1`

, where`N`

is the length of the original time series). - 2.Return the longest sequence of successive values that are
`0`

.

- Here is a time series of a time series from the complex butterfly map, with the longest period (of 30) successive decreases highlighted in red

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Last modified 11mo ago

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SB_BinaryStats_mean_longstretch1

What it does

What it measures

SB_BinaryStats_diff_longstretch0

What it does

What it measures