M.3 Spherical Coverage Grid

38.521-23GPPNRPart 2: Range 2 StandaloneRadio transmission and receptionRelease 17TSUser Equipment (UE) conformance specification

Editor’s note: Other implementations are not precluded as far as the respective analysis are presented and included in this TS

M.3.1 EIRP spherical coverage

M.3.1.1 UE Power classes

M.3.1.1.1 Power class 1 devices

In order to make a reasonable trade-off with measurement uncertainties, it is recommended to use the following recommendation in terms of min. number of grid points, standard deviation, and mean error for spherical coverage grids:

– constant density grid (using the charged particle implementation) with at least 200 grid points: standard deviation (MU element ‘Influence of spherical coverage grid’) of 0.13dB and 0.04dB Mean Error

– constant step size grid with at least 266 grid points: standard deviation (MU element ‘Influence of spherical coverage grid’) of 0.12dB and 0.06dB Mean Error

For better measurement uncertainties, finer measurement grids as shown in Tables M.3.1.1.1-1 and M.3.1.1.1-2 may be used. Choice of grids among these 2 types of grids is up to test system implementation.

There is no need to have the Tx beam peak placed on a measurement grid point.

For constant step size measurement grids, the CDF analyses require the PDFs to be scaled by sin(theta) or the normalized Clenshaw-Curtis weights W()/W(90o), introduced in Section M.4.2.1.

Table M.3.1.1.1-1: Statistical results of EIRP85%CDF for the 12×12 antenna array for constant step size measurement grids and the beam peak oriented in completely random orientations.

Step Size [o]

Number of unique grid points

Std. Dev [dB]

|Mean Error| [dB]

12

422

0.10

0.03

15

266

0.12

0.06

20

146

0.23

0.05

Table M.3.1.1.1-2: Statistical results of EIRP50%CDF for the 12×12 antenna array for constant density measurement grids and the beam peak oriented in completely random orientations.

Number of unique grid points

Std. Dev [dB]

|Mean Error| [dB]

150

0.15

0.06

175

0.13

0.04

200

0.13

0.04

M.3.1.1.2 Power class 2 devices

TBD

M.3.1.1.3 Power class 3 devices

In order to make a reasonable trade-off between measurement uncertainties, at least 200 (constant density grid with charged particle implementation) or 266 (constant step size grid) measurement grid points shall be used for EIRP spherical coverage procedure. For better measurement uncertainties, finer measurement grids as shown below may be used. Choice of grids among these 2 types of grids is up to test system implementation.

There is no need to have the Tx beam peak placed on a measurement grid point.

For constant step size measurement grids, the CDF analyses require the PDFs to be scaled by sin(theta) or the normalized Clenshaw-Curtis weights W()/W(90o), introduced in Section M.4.2.1.

Table M.3.1.1.3-1: Statistical results of EIRP50%CDF for the 8×2 antenna array for constant density measurement grids (with charged particle implementation) and the beam peak oriented in completely random orientations errors (non-sparse antenna arrays)

Number of unique grid points

STD [dB]

|Mean Error| [dB]

200

0.11

0.02

300

0.08

0.01

400

0.07

0.01

500

0.06

0.01

Table M.3.1.1.3-2: Statistical results of EIRP50%CDF for the 8×2 antenna array for constant step size measurement grids and the beam peak oriented in completely random orientations errors (non-sparse antenna arrays)

Step Size [o]

Number of unique grid points

STD [dB]

|Mean Error| [dB]

9

762

0.05

0.00

10

614

0.06

0.00

12

422

0.07

0.01

15

266

0.12

0.01

Based on an optional vendor declaration with respect to the antenna array configuration, devices with an M x N (M ≥ N) configuration with M ≤ 4 and N ≤ 2 can utilize either of the following minimum number of grid points for spherical coverage procedures:

– 180 (constant density grid with charged particle implementation) measurement grid points with std. deviation of 0.12dB.

– 266 (constant step size grid with Dq=Df=15.0o) measurement grid points with std. deviation of 0.11dB.

M.3.1.1.4 Power class 4 devices

TBD

M.3.2 EIS spherical coverage

M.3.2.1 UE Power classes

M.3.2.1.1 Power class 1 devices

In order to make a reasonable trade-off with measurement uncertainties, it is recommended to use the following recommendation in terms of min. number of grid points, standard deviation, and mean error for spherical coverage grids:

– constant density grid (using the charged particle implementation) with at least 200 grid points: standard deviation (MU element ‘Influence of spherical coverage grid’) of 0.13dB and 0.04dB Mean Error

– constant step size grid with at least 266 grid points: standard deviation (MU element ‘Influence of spherical coverage grid’) of 0.12dB and 0.06dB Mean Error

– the MU element ‘Systematic error related to EIS spherical coverage’ is the DL step size, i.e., 0.2dB.

Choice of grids among these 2 types of grids is up to test system implementation.

There is no need to have the Rx beam peak placed on a measurement grid point.

For constant step size measurement grids, the CCDF analyses require the PDFs to be scaled by sin(theta) or the normalized Clenshaw-Curtis weights W()/W(90o), introduced in Section M.4.2.1.

M.3.2.1.2 Power class 2 devices

TBD

M.3.2.1.3 Power class 3 devices

In order to make a reasonable trade-off between measurement uncertainties, at least 200 (constant density grid with charged particle implementation) or 266 (constant step size grid) measurement grid points shall be used for EIS spherical coverage procedure. For better measurement uncertainties, finer measurement grids as shown below may be used. Choice of grid(s) among these 2 types of grids is up to test system implementation.

There is no need to have the Rx beam peak placed on a measurement grid point.

For constant step size measurement grids, the CCDF analyses require the PDFs to be scaled by sin(theta) or the normalized Clenshaw-Curtis weights W()/W(90o), introduced in Section M.4.2.1.

Table M.3.2.1.3-1: Statistical results of EIS50%CDF for the 8×2 antenna array for constant step size measurement grids and the beam peak oriented in completely random orientations errors (non-sparse antenna arrays)

DL Power Step Size: infinitesimal

DL Power Step Size: 0.1dB

DL Power Step Size: 0.5dB

DL Power Step Size:
1dB

Step Size [o]

Number of unique grid points

STD [dB]

|Mean Error| [dB]

STD [dB]

|Mean Error| [dB]

STD [dB]

|Mean Error| [dB]

STD [dB]

|Mean Error| [dB]

6.0

1742

0.03

0.00

0.03

0.10

0.03

0.50

0.02

1.02

9.0

762

0.05

0.00

0.05

0.10

0.05

0.50

0.04

1.02

10.0

614

0.06

0.00

0.06

0.10

0.06

0.50

0.05

1.02

12.0

422

0.08

0.01

0.07

0.10

0.07

0.50

0.07

1.02

15.0

266

0.12

0.02

0.12

0.10

0.11

0.50

0.10

1.02

Table M.3.2.1.3-2: Statistical results of EIS50%CDF for the 8×2 antenna array for constant density measurement grids (with charged particle implementation) and the beam peak oriented in completely random orientations errors (non-sparse antenna arrays)

DL Power Step Size: infinitesimal

DL Power Step Size: 0.1dB

DL Power Step Size: 0.5dB

DL Power Step Size:
1dB

Number of unique grid points

STD [dB]

|Mean Error| [dB]

STD [dB]

|Mean Error| [dB]

STD [dB]

|Mean Error| [dB]

STD [dB]

|Mean Error| [dB]

200

0.10

0.02

0.10

0.10

0.10

0.50

0.09

1.01

300

0.08

0.01

0.08

0.10

0.08

0.50

0.07

1.01

400

0.06

0.01

0.06

0.10

0.06

0.50

0.05

1.01

500

0.06

0.01

0.06

0.10

0.06

0.50

0.05

1.01

Based on an optional vendor declaration with respect to the antenna array configuration, devices with an M x N (M ≥ N) configuration with M ≤ 4 and N ≤ 2 can utilize either of the following minimum number of grid points for spherical coverage procedures:

– 180 (constant density grid with charged particle implementation) measurement grid points with std. deviation of 0.12dB.

– 266 (constant step size grid with Dq=Df=15.0o) measurement grid points with std. deviation of 0.11dB.

M.3.2.1.4 Power class 4 devices

TBD