User`s guide

Normalization
5-329
5Normalization
Purpose Normalize an input by its 2-norm or squared 2-norm.
Library Math Functions / Math Operations
Description The Normalization block independently normalizes each column of the M-by-N
matrix input, u.
2-Norm
When the Norm parameter specifies 2-norm, the block normalizes the jth
input column as follows.
where b is specified by the
Normalization bias parameter, and is the
2-norm (or Euclidean norm) of the jth input column.
Equivalently,
y = u ./ (norm(u) + b) % Equivalent MATLAB code
The normalization bias, b, is typically chosen to be a small positive constant
(e.g., 1e-10) that prevents potential division by zero.
Squared 2-Norm
When the Norm parameter specifies Squared 2-norm, the block normalizes
the jth input column as follows.
where
Equivalently,
y = u ./ (norm(u).^2 + b) % Equivalent MATLAB code
y
ij
u
ij
u
j
b+
---------------------=
u
j
u
j
u
1
2
u
2
2
L u
M
2
+++=
y
ij
u
ij
u
j
2
b+
----------------------=
u
j
2
u
1
2
u
2
2
L u
M
2
+++=