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Advances, Systems and Applications

Table 3 Notation used in the work

From: An integrated SDN framework for early detection of DDoS attacks in cloud computing

Notation

Meaning

Notation

Meaning

Model1

Training flag for USIA feature

α1 and α2

α1 as 0.1 and α2 as 0.8

Model2

Training flag for NUDIA feature

f1(α1) and f2(α2)

Exponential filters α1 as 0.1 and α2 as 0.8

Z ← {z1, z2,…..,zt}

Timeseries of unique Source IP

Adf

Time series of distance between f1, f2

Y = {y1, y2, y3,….yt}

Time series of normalized Destination IP

M

Timeseries for rolling median of Adf

ARIMA (p, d, q)

p is the lag order, d is the number of times raw observations differenced, and q is the order of Moving Averages (MA)

ldt

The minimum distance between items in M

λt

Lyapunov exponent at time t

η

Threshold value

pt

ARIMA model Prediction error at time t

q

The threshold is defined by the standard deviation number, σld

Score1 and score2

Anomaly prediction scores of Z and Y

σ

Standard deviation of ld

α,

Exponential filter’s Smoothing constant

µ

Mean of the least distance