Finds the norm of a vector and normalizes the vector with the norm.
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 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.
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.
Let x represent input vector, y represent user defined norm, and ||x|| represent the norm of the input vector.
Name | Value | Description |
---|---|---|
1-norm | 1 | Calculates norm using the following equation: $\Vert x\Vert =\left|{x}_{0}\right|+\left|{x}_{1}\right|+\dots +\left|{x}_{n-1}\right|$. |
2-norm | 2 | Calculates norm using the following equation: $\Vert x\Vert =\sqrt{({\left|{x}_{0}\right|}^{2}+{\left|{x}_{1}\right|}^{2}+\dots +{\left|{x}_{n-1}\right|}^{2})}$. |
Inf-norm | 3 | Calculates norm using the following equation: $\Vert x\Vert ={\mathrm{max}}_{i}\left(\left|{x}_{i}\right|\right)$. |
-Inf-norm | 4 | Calculates norm using the following equation: $\Vert x\Vert ={\mathrm{min}}_{i}\left(\left|{x}_{i}\right|\right)$. |
User Defined | 5 | Calculates norm using the following equation: $\Vert x\Vert ={({\left|{x}_{0}\right|}^{y}+{\left|{x}_{1}\right|}^{y}+\dots +{\left|{x}_{n-1}\right|}^{y})}^{\frac{1}{y}}$. |
Default: 2-norm
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
Value that defines the 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 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.
Default: No error
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 of the input vector.
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.
This node calculates unit vector using the following equation:
where U is unit vector.
Where This Node Can Run:
Desktop OS: Windows
FPGA: Not supported
Web Server: Not supported in VIs that run in a web application