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Unit Vector (G Dataflow)

    Last Modified: January 9, 2017

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


    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.

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


    norm type

    Type of norm this node uses to compute the norm.

    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:


    x = | x 0 | + | x 1 | + + | x n 1 |


    x = ( | x 0 | 2 + | x 1 | 2 + + | x n 1 | 2 )


    x = max i ( | x i | )


    x = min i ( | x i | )

    User Defined

    x = ( | x 0 | y + | x 1 | y + + | x n 1 | y ) 1 y


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

    Default: 2-norm


    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.

    Default: -1


    error in

    Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

    Default: No error


    unit vector

    Output normalized vector.



    Norm of the input vector.


    error out

    Error information. The node produces this output according to standard error behavior.

    Algorithm for Calculating unit vector

    This node calculates unit vector using the following equation:

    U = X X

    where U is unit vector.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: Not supported

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