Unit Vector VI

Owning Palette: Signal Operation VIs

Requires: Full Development System

Finds the norm of the Input Vector and obtains its corresponding Unit Vector by normalizing the original Input Vector with its norm.

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Select an instance Unit Vector (DBL)Unit Vector (CDB)

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Unit Vector (DBL)

	Input Vector is the input vector. If Input Vector is an empty array, Unit Vector is also an empty array, and norm is NaN.
	norm type indicates what type of norm you use to compute the norm. The default is 2-norm. If norm type is User Defined, this VI uses user defined norm as the norm type. 1 1-norm 2 2-norm (default) 3 Inf-norm 4 –Inf-norm 5 User Defined
	user defined norm is the user defined norm type. The default is –1. This VI uses user defined norm as the norm type only if you set norm type to User Defined. user defined norm must be nonzero.
	Unit Vector is the output, normalized vector.
	norm is the norm of Input Vector.
	error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Unit Vector (CDB)

	Input Vector is the input vector. If Input Vector is an empty array, Unit Vector is also an empty array, and norm is NaN.
	norm type indicates what type of norm you use to compute the norm. The default is 2-norm. If norm type is User Defined, this VI uses user defined norm as the norm type. 1 1-norm 2 2-norm (default) 3 Inf-norm 4 –Inf-norm 5 User Defined
	user defined norm is the user defined norm type. The default is –1. This VI uses user defined norm as the norm type only if you set norm type to User Defined. user defined norm must be nonzero.
	Unit Vector is the output, normalized vector.
	norm is the norm of Input Vector.
	error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Unit Vector Details

This VI calculates norm using the following equations.

1-norm	||X|| = |x0| + |x1| + … + |xn – 1|
2-norm	||X|| = √(|x0|2 + |x1|2 + … + |xn – 1|2)
Inf-norm	||X|| = maxi(|xi|)
–Inf-norm	||X|| = mini(|xi|)
User Defined	||X|| = ||x0|y + |x1|y + … + |xn – 1|y|1/y

where X is Input Vector, y is user defined norm, and ||X|| is norm.

This VI calculates Unit Vector using the following equation:

where U is Unit Vector.