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Attn:
2023-09-11 FCC Office of Engineering and Technology FCC ID:
Applicant:
2AGZ3S01711 Starry Inc. Ref:
47 CFR Part 30 Far-Field Measurements Background The mmWave radio incorporated within the EUT submitted as part of this certification operates between 37-40 GHz and is available with 3 different antenna variants as described below:
- Base radio with integral 8 x 8 patch antenna array. Maximum antenna dimension is 58mm.
- Base radio with integral 8 x 8 patch antenna array plus small reflector plate. Maximum reflector plate dimension is 320mm.
- Base radio with integral 8 x 8 patch antenna array plus large reflector plate. Maximum reflector plate dimension is 515mm. Per KDB 842590 v1r02, fundamental and out-of-band emissions shall be made in the far field, based on the largest far-field boundary distance of the EUT antenna and the measurement antenna, where the far-field boundary for mmWave antennas is equal to 2D2/. As such, the required far-field boundary distance for each variant is:
- Base radio: 0.90m
- Base radio with 320mm reflector: 27.3m
- Base radio with 515mm reflector: 70.7m The integral antenna of the base radio has a nominal gain of 23 dBi; the 320 mm reflector adds an additional 10.5 dB to this gain, and the 515 mm reflector adds an additional 15.5 dB of gain. Testing Strategy EIRP and Bandedge measurements were first performed on the base radio in the far-field within a fully anechoic chamber. These measurements were then repeated using the worst-case reflector plate (515mm) in the far-field at an outdoor site. The substitution measurement method per C63.26 Clause 5.5.3 was used for the outdoor measurements. In lieu of the theoretical calculated free space propagation path loss (see C63.26 Equation C.9), substitution measurements were performed to determine the actual free space path loss of the test site at the measurement distance. This value was used as the correction factor for in-band measurements. Derivation of the Measured Path Loss:
EIRP = PT + GT LC C63.26 Equation (C.3) Where, PT = transmitter output power GT = gain of transmitting antenna LC = signal loss in connecting cable between transmitter and antenna EIRP = PR + LP Where, PR = adjusted received power level LP = basic free-space propagation path loss C63.26 Equation (C.7) PR Pmeas GR + LC + Latten Gamp C63.26 Equation (C.8) Where, Pmeas = measured power level GR = gain of receive antenna LC = signal loss in measurement cable Latten = value of external attenuation (if used)*
Gamp = value of external amplification (if used)*
*-External attenuation or amplification not used for these measurements Combining Equations. C.3, C.7 and C.8 yields:
Pt + Gtx Lctx = Pmeas Grx + Lcrx + Latten Gamp + Lp Re-arranging to express path loss as a function of the other parameters:
Lp = Pt + Gtx Lctx - Pmeas + Grx - Lcrx - Latten + Gamp Calculation for 37 GHz:
LP = 15 + 22.65 5.22 (-48.75) + 23.31 5.26 0 + 0 LPMeasured = 99.23 dB Free Space Path Loss (Theoretical):
LP = 20logF + 20logd 27.5 Where, LP = basic free space propagation path loss, in dB F = center frequency of radiated EUT signal, in MHz d = measurement distance, in m Calculation for 37 GHz:
LP = 20log(37000) + 20log(71) 27.5 LP = 91.36 + 37.03 27.5 LPTheoretical = 100.89 dB Summary of substitution measurements Channel Freq
(GHz) Meas Distance
(m) PT
(dBm) LC
(Tx)
(dB) GT
(Tx)
(dBi) GT
(Rx)
(dBi) LC
(Rx)
(dB) Measured Power, Pmeas
(dBm) Measured Path Loss, LP (dB) Theoretical Path Loss, LP (dB) Path Loss Delta
(dB) Low BE 37.00 71.00 15.00 5.26 22.65 23.31 5.22
-48.75 99.23 100.89
-1.66 Low Channel Mid Channel High Channel 37.10 71.00 15.00 5.26 22.69 23.35 5.26
-49.12 99.64 100.91
-1.27 38.50 71.00 15.00 5.48 22.57 23.19 5.47
-52.60 102.41 101.23 1.18 39.90 71.00 15.00 5.52 22.45 23.36 5.54
-46.91 96.66 101.54
-4.88 High BE 40.00 71.00 15.00 5.69 22.34 23.39 5.59
-46.61 96.05 101.57
-5.51 Validation and Sanity Checks Knowing the values of the base radio along with the expected added gain of the reflector plate, we can predict the EIRP when testing at the outdoor site. Channel Freq (GHz) Base Radio Measured EIRP At 3m (dBm) Low, 160 MHz BW 37.1 51.97 Expected Additional Gain From Reflector
(dB) 15.5 Predicted EIRP With Reflector 67.47 Measured EIRP With Reflector at 71m (dBm) 65.43 Measured vs Predicted EIRP Delta
(dB)
-2.04 Additionally, a spot test of the base unit at 71 meters was made to validate the gain of the reflector. Channel Freq (GHz) Base Radio Measured EIRP At 71m (dBm) Low, 160 MHz BW 37.1 49.93 Expected Addional Gain From Reector
(dB) 15.5 Predicted EIRP With Reector 65.43 Measured EIRP With Reector at 71m (dBm) 65.43 Measured vs Predicted EIRP Delta
(dB) 0.0