Example 6: Multiscale [Increment] Entropy

Import a signal of uniformly distributed pseudorandom integers in the range [1,8] and create a multiscale entropy object with the following parameters:

EnType = IncrEn(), embedding dimension = 3, a quantifying resolution = 6, normalization = true.

X = ExampleData('randintegers');

Mobj = MSobject('IncrEn', 'm', 3, 'R', 6, 'Norm', true)

>>> Mobj = struct with fields:
    Func: @IncrEn
    m: 3
    R: 6
    Norm: 1

Calculate the multiscale increment entropy over 5 temporal scales using the modified graining procedure where,

\[y_j^{(\tau)} =\frac{1}{\tau } \sum_{i=\left(j-1\right)\tau +1}^{j\tau }x{_i} , 1 <= j <= \frac{N}{\tau}\]

MSx = MSEn(X, Mobj, 'Scales', 5, 'Methodx', 'modified')
. . . . . .

>>> MSx = 1×5
    4.2719 4.3059 4.2863 4.2494 4.2773