J.2 Test conditions and angle definitions

38.101-23GPPNRPart 2: Range 2 StandaloneRelease 17TSUser Equipment (UE) radio transmission and reception

Tools: ARFCN - Frequency Conversion for 5G NR/LTE/UMTS/GSM

Tables J.2-1 through J.2-3 below provides the test conditions and angle definitions for three permitted device alignment for the default test condition, DUT orientation 1, and two different options for each permitted device alignment to re-position the device for DUT Orientation 2 as outlined in Figures J.2-1 and J.2-3.

Table J.2-1: Test conditions and angle definitions for Alignment Option 1

Test condition	DUT orientation	Link angle	Measurement angle	Diagram
Free space DUT Orientation 1 (default)	α = 0º; β = 0º; γ = 0º	θ_Link;ϕ_Link with polarization reference Pol_Link = θ or ϕ	θ_Meas;ϕ_Meas with polarization reference Pol_Meas = θ or ϕ
Free space DUT Orientation 2 – Option 1 (based on re-positioning approach)	α = 180º; β = 0º; γ = 0º	θ_Link;ϕ_Link with polarization reference Pol_Link = θ or ϕ	θ_Meas;ϕ_Meas with polarization reference Pol_Meas = θ or ϕ
Free space DUT Orientation 2 – Option 2 (based on re-positioning approach)	α = 0º; β = 180º; γ = 0º	θ_Link;ϕ_Link with polarization reference Pol_Link = θ or ϕ	θ_Meas;ϕ_Meas with polarization reference Pol_Meas = θ or ϕ
NOTE 1: A polarization reference, as defined in relation to the reference coordinate system in J.1-1, is maintained for each signal angle, link or interferer angle, and measurement angle. NOTE 2: The combination of rotations is captured by matrix M=R_z()•R_y()•R_x()

Table J.2-2: Test conditions and angle definitions for Alignment Option 2

Test condition	DUT orientation	Link angle	Measurement angle	Diagram
Free space DUT Orientation 1 (default)	α = 0º; β = -90º; γ = 0º	θ_Link;ϕ_Link with polarization reference Pol_Link = θ or ϕ	θ_Meas;ϕ_Meas with polarization reference Pol_Meas = θ or ϕ
Free space DUT Orientation 2 – Option 1 (based on re-positioning approach)	α = 180º; β = 90º; γ = 0º	θ_Link;ϕ_Link with polarization reference Pol_Link = θ or ϕ	θ_Meas;ϕ_Meas with polarization reference Pol_Meas = θ or ϕ
Free space DUT Orientation 2 – Option 2 (based on re-positioning approach)	α = 0º; β = 90º; γ = 0º	θ_Link;ϕ_Link with polarization reference Pol_Link = θ or ϕ	θ_Meas;ϕ_Meas with polarization reference Pol_Meas = θ or ϕ
NOTE 1: A polarization reference, as defined in relation to the reference coordinate system in J.1-1, is maintained for each signal angle, link or interferer angle, and measurement angle. NOTE 2: The combination of rotations is captured by matrix M=R_z()•R_y()•R_x()

Table J.2-3: Test conditions and angle definitions for Alignment Option 3

Test condition	DUT orientation	Link angle	Measurement angle	Diagram
Free space DUT Orientation 1 (default)	α = 90º; β = 0º; γ = 0º	θ_Link;ϕ_Link with polarization reference Pol_Link = θ or ϕ	θ_Meas;ϕ_Meas with polarization reference Pol_Meas = θ or ϕ
Free space DUT Orientation 2 – Option 1 (based on re-positioning approach)	α = -90º; β = 0º; γ = 0º	θ_Link;ϕ_Link with polarization reference Pol_Link = θ or ϕ	θ_Meas;ϕ_Meas with polarization reference Pol_Meas = θ or ϕ
Free space DUT Orientation 2 – Option 2 (based on re-positioning approach)	α = 90º; β = 180º; γ = 0º	θ_Link;ϕ_Link with polarization reference Pol_Link = θ or ϕ	θ_Meas;ϕ_Meas with polarization reference Pol_Meas = θ or ϕ
NOTE 1: A polarization reference, as defined in relation to the reference coordinate system in J.1-1, is maintained for each signal angle, link or interferer angle, and measurement angle. NOTE 2: The combination of rotations is captured by matrix M=R_z()•R_y()•R_x()

For each UE requirement and test case, each of the parameters in Table J.2-1 through J.2-3 need to be recorded, such that DUT positioning, DUT beam direction, and angles of the signal, link/interferer, and measurement are specified in terms of the fixed coordinate system.

Due to the non-commutative nature of rotations, the order of rotations is important and needs to be defined when multiple DUT orientations are tested.

The rotations around the x, y, and z axes can be defined with the following rotation matrices

and

with the respective angles of rotation,  and

Additionally, any translation of the DUT can be defined with the translation matrix

with offsets t_x, t_y, t_z in x, y, and z, respectively and with

The combination of rotations and translation is captured by the multiplication of rotation and translation matrices.

For instance, the matrix M

describes an initial rotation of the DUT around the x axis with angle α, a subsequent rotation around the y axis with angle β, and a final rotation around the z axis with angle γ. After those rotations, the DUT is translated by t_x, t_y, t_z in x, y, and z, respectively.