Table Of Contents

Givens Rotation (Fast Givens Rotation Parameters) (G Dataflow)

Version:
    Last Modified: March 15, 2017

    Creates a rotation matrix for performing a fast Givens rotation.

    connector_pane_image
    datatype_icon

    x

    x-component for a two-element vector.

    Default: 0

    datatype_icon

    y

    y-component for a two-element vector.

    Default: 0

    datatype_icon

    d1 in

    Scale factor for x.

    Default: 0

    datatype_icon

    d2 in

    Scale factor for y.

    Default: 0

    datatype_icon

    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

    datatype_icon

    r

    x-component after the Givens rotation.

    datatype_icon

    rotation matrix flag

    Value that determines the structure and values of elements in rotation matrix.

    Let H represent the output rotation matrix, and h11, h12, h21, and h22 represent elements in rotation matrix.

    Name Value Description
    -2 -2 H = [ 1 0 0 1 ]
    -1 -1 H = [ h 11 h 12 h 21 h 22 ]
    0 0 H = [ 1 h 12 h 21 1 ]
    1 1 H = [ h 11 1 1 h 22 ]
    datatype_icon

    rotation matrix

    2 × 2 fast Givens rotation matrix.

    datatype_icon

    d1 out

    Updated scale factor for the x-component.

    Algorithm for Updating Scale Factors

    The fast Givens rotation matrix and scale factors must satisfy the following equation:

    [ d 1 in 0 0 d 2 in ] = H T * [ d 1 out 0 0 d 2 out ] * H

    where H represents rotation matrix.

    datatype_icon

    d2 out

    Updated scale factor for the y-component.

    Algorithm for Updating Scale Factors

    The fast Givens rotation matrix and scale factors must satisfy the following equation:

    [ d 1 in 0 0 d 2 in ] = H T * [ d 1 out 0 0 d 2 out ] * H

    where H represents rotation matrix.

    datatype_icon

    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 Fast Givens Rotation Matrix

    This node calculates the fast Givens rotation matrix using the following equation:

    H * [ x y ] = [ r 0 ]

    where

    • x is the x-component for the two-element vector
    • y is the y-component for the two-element vector
    • r is the x-component after the Givens rotation
    • H is the 2 × 2 fast Givens rotation matrix

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: This product does not support FPGA devices


    Recently Viewed Topics