Exponential decay functions describe an exponential decay in weights over time. The decayed weight sequence is denoted We_i.

we_j=b^j-1-k’/s

s=sum(b^j-1-k’)

Where We_i represents the weight sequence of Rg[-(k’+1)]_i+1, b is the base number, and we_j is the j-th element of Wei.

The alarm intensity wn_i is obtained by summing the element-wise products of the weight sequence We_i and the anomaly score sequence Rg[-(k’+1)]_i+1.

wn_i=sum(We_i** Rg[-(k’+1)]_i+1)

SPL routine:

Cell A3 is the base number b, which can be set as required.

Cell A5 represents the exponential decay process;

Cell A6 calculates the weights we_j.