Normalization (DSP Blockset)

Normalize an input vector by the 2-norm.

Library

Vector Functions, in Math Functions

Description

The Normalization block normalizes the input using the vector 2-norm or squared 2-norm, as specified by the Norm parameter. When 2-norm is selected, the output is given by

where u is the length-N input, b is specified by the Normalization bias parameter, and

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.

When Squared 2-norm is selected, the output is given by

where

Equivalently,

y = u ./ (norm(u).^2 + b)     % equivalent MATLAB code

In both cases the output is the same size as the input. A matrix input, u, is treated as a vector, u(:).

Dialog Box

Norm: The type of normalization to apply, 2-norm or Squared 2-norm. This parameter is not tunable in Simulink's external mode.
Normalization bias: The value to add in the denominator (to avoid division by zero). This parameter is not tunable in Simulink's external mode.