# Unit Vector (G Dataflow)

Version:

Finds the norm of a vector and normalizes the vector with the norm.

## reset

A Boolean that specifies whether to reset the internal state of the node.

 True Resets the internal state of the node. False Does not reset the internal state of the node.

This input is available only if you wire a double-precision, floating-point number to input vector.

Default: False

## input vector

Input vector.

This input can be an array of double-precision, floating-point numbers or an array of complex double-precision, floating-point numbers.

This input changes to input data point when the data type is a double-precision, floating-point number.

If input vector is an empty array, unit vector returns an empty array and norm returns NaN.

## input data point

Input data points.

This input changes to input vector when the data type is a 1D array of double-precision, floating-point numbers or an array of complex double-precision, floating-point numbers.

## norm type

Type of norm this node uses to compute the norm.

This input is available only if you wire an array of double-precision, floating-point numbers or an array of complex double-precision, floating-point numbers to input vector.

Name Value Description
1-norm 1 Uses 1-norm.
2-norm 2 Uses 2-norm.
Inf-norm 3 Uses infinity-norm.
-Inf-norm 4 Uses -infinity-norm.
User Defined 5 Uses user defined norm as the norm type.

Algorithm for Calculating norm with Each norm type

This node calculates norm using the following equations:

 1-norm $‖x‖=|{x}_{0}|+|{x}_{1}|+\dots +|{x}_{n-1}|$ 2-norm $‖x‖=\surd \left({|{x}_{0}|}^{2}+{|{x}_{1}|}^{2}+\dots +{|{x}_{n-1}|}^{2}\right)$ Inf-norm $‖x‖={\mathrm{max}}_{i}\left(|{x}_{i}|\right)$ -Inf-norm $‖x‖={\mathrm{min}}_{i}\left(|{x}_{i}|\right)$ User Defined $‖x‖={\left({|{x}_{0}|}^{y}+{|{x}_{1}|}^{y}+\dots +{|{x}_{n-1}|}^{y}\right)}^{\frac{1}{y}}$

where

• x is input vector
• y is user defined norm
• ||x|| is norm

Default: 2-norm

## sample length

Length of each set of data.

The node performs computation for each set of data. sample length must be greater than zero.

This input is available only if you wire a double-precision, floating-point number to input vector.

Default: 100

## user defined norm

User-defined norm type.

This node uses user defined norm as the norm type only if you set norm type to User Defined. user defined norm must be nonzero.

This input is available only if you wire an array of double-precision, floating-point numbers or an array of complex double-precision, floating-point numbers to input vector.

Default: -1

## error in

Error conditions that occur before this node runs.

The node responds to this input according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Default: No error

## unit vector

Output normalized vector.

This output can return an array of double-precision, floating-point numbers or an array of complex double-precision, floating-point numbers.

## norm

Norm of the input vector.

## error out

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

## Algorithm for Calculating unit vector

This node calculates unit vector using the following equation:

$U=\frac{X}{‖X‖}$

where U is unit vector.

Where This Node Can Run:

Desktop OS: Windows

FPGA: This product does not support FPGA devices