Engineering Specifications & Physical Constants

Telecommunications Reference Data & Standards Repository

Carrier-grade reference tables, frequency allocations, optical spectral grids, and protocol overhead budgets strictly compiled from ITU, 3GPP, IEEE, and IETF specifications.

Standard References: 5G NR Bands & Rasters • LTE Bands & EARFCN • CQI / MCS Tables • RSRP / RSRQ / SINR • ITU-T DWDM Grid • Optical Attenuation Domains: 1. Optical • 2. RAN • 3. RF • 4. IP • 5. Traffic • 6. Facilities
ITU-T Optical Standards

1. Optical Transport & Wavelength Division Multiplexing (WDM)

Deterministic spectral allocations according to ITU-T G.694.1 (dense wavelength division multiplexing anchored strictly at 193.10 THz) and ITU-T G.694.2 (coarse wavelength division multiplexing spanning 1271 nm to 1611 nm). These tables govern transponder channelization, multiplexer passband tolerances, and dispersion compensation budgets.

Table 1A: ITU-T G.694.1 DWDM 100 GHz Frequency Grid (C-Band Reference Channels)

ITU-T G.694.1 / c = 299,792,458 m/s
Optical Channel / Bin Nominal Frequency (THz) Nominal Wavelength (λ) Optical Band Allocation Photon Energy (eV)
ITU-CH01 196.10 THz 1528.77 nm C-Band / Extended Blue 0.811 eV
ITU-CH02 196.00 THz 1529.55 nm C-Band / Red 0.811 eV
ITU-CH03 195.90 THz 1530.33 nm C-Band 0.810 eV
ITU-CH04 195.80 THz 1531.12 nm C-Band 0.810 eV
ITU-CH05 195.70 THz 1531.90 nm C-Band 0.809 eV
ITU-CH06 195.60 THz 1532.68 nm C-Band 0.809 eV
ITU-CH07 195.50 THz 1533.47 nm C-Band 0.809 eV
ITU-CH08 195.40 THz 1534.25 nm C-Band 0.808 eV
ITU-CH09 195.30 THz 1535.04 nm C-Band 0.808 eV
ITU-CH10 195.20 THz 1535.82 nm C-Band 0.807 eV
ITU-CH11 195.10 THz 1536.61 nm C-Band 0.807 eV
ITU-CH12 195.00 THz 1537.40 nm C-Band 0.806 eV
ITU-CH13 194.90 THz 1538.19 nm C-Band 0.806 eV
ITU-CH14 194.80 THz 1538.98 nm C-Band 0.806 eV
ITU-CH15 194.70 THz 1539.77 nm C-Band 0.805 eV
ITU-CH16 194.60 THz 1540.56 nm C-Band 0.805 eV
ITU-CH17 194.50 THz 1541.35 nm C-Band 0.804 eV
ITU-CH18 194.40 THz 1542.14 nm C-Band 0.804 eV
ITU-CH19 194.30 THz 1542.94 nm C-Band 0.804 eV
ITU-CH20 194.20 THz 1543.73 nm C-Band 0.803 eV
ITU-CH21 194.10 THz 1544.53 nm C-Band 0.803 eV
ITU-CH22 194.00 THz 1545.32 nm C-Band 0.802 eV
ITU-CH23 193.90 THz 1546.12 nm C-Band 0.802 eV
ITU-CH24 193.80 THz 1546.92 nm C-Band 0.801 eV
ITU-CH25 193.70 THz 1547.72 nm C-Band 0.801 eV
ITU-CH26 193.60 THz 1548.51 nm C-Band 0.801 eV
ITU-CH27 193.50 THz 1549.32 nm C-Band 0.800 eV
ITU-CH28 193.40 THz 1550.12 nm C-Band 0.800 eV
ITU-CH29 193.30 THz 1550.92 nm C-Band 0.799 eV
ITU-CH30 193.20 THz 1551.72 nm C-Band 0.799 eV
ITU-CH31 193.10 THz 1552.52 nm C-Band (ITU Anchor) 0.799 eV
ITU-CH32 193.00 THz 1553.33 nm C-Band 0.798 eV
ITU-CH33 192.90 THz 1554.13 nm C-Band 0.798 eV
ITU-CH34 192.80 THz 1554.94 nm C-Band 0.797 eV
ITU-CH35 192.70 THz 1555.75 nm C-Band 0.797 eV
ITU-CH36 192.60 THz 1556.55 nm C-Band 0.797 eV
ITU-CH37 192.50 THz 1557.36 nm C-Band 0.796 eV
ITU-CH38 192.40 THz 1558.17 nm C-Band 0.796 eV
ITU-CH39 192.30 THz 1558.98 nm C-Band 0.795 eV
ITU-CH40 192.20 THz 1559.79 nm C-Band 0.795 eV
ITU-CH41 192.10 THz 1560.61 nm C-Band 0.794 eV
ITU-CH42 192.00 THz 1561.42 nm C-Band 0.794 eV
ITU-CH43 191.90 THz 1562.23 nm C-Band 0.794 eV
ITU-CH44 191.80 THz 1563.05 nm C-Band 0.793 eV
ITU-CH45 191.70 THz 1563.86 nm C-Band 0.793 eV
ITU-CH46 191.60 THz 1564.68 nm C-Band 0.792 eV
ITU-CH47 191.50 THz 1565.50 nm C/L Boundary 0.792 eV

Table 1B: ITU-T G.694.2 CWDM Grid (18 Discrete Wavelengths)

ITU-T G.694.2 (20 nm Channel Spacing)
Channel ID Center Wavelength (λ) Passband Window (±6.5 nm) Optical Spectral Band Typical Attenuation (G.652.D) Engineering Notes & Water Peak Status
CH01 1271 nm 1264.5 to 1277.5 nm O-Band (Original) 0.38 dB/km Low dispersion window
CH02 1291 nm 1284.5 to 1297.5 nm O-Band (Original) 0.36 dB/km Zero dispersion region
CH03 1311 nm 1304.5 to 1317.5 nm O-Band (Original) 0.34 dB/km Standard 1310 nm zero-dispersion window
CH04 1331 nm 1324.5 to 1337.5 nm O-Band (Original) 0.35 dB/km Positive chromatic dispersion transition
CH05 1351 nm 1344.5 to 1357.5 nm O-Band (Original) 0.38 dB/km Upper O-band edge
CH06 1371 nm 1364.5 to 1377.5 nm E-Band (Extended) 0.45 dB/km Lower water peak skirt
CH07 1391 nm 1384.5 to 1397.5 nm E-Band (Water Peak) 0.50 dB/km 1383 nm OH-ion absorption peak (G.652.D safe)
CH08 1411 nm 1404.5 to 1417.5 nm E-Band (Extended) 0.42 dB/km Upper water peak slope
CH09 1431 nm 1424.5 to 1437.5 nm E-Band (Extended) 0.38 dB/km Mid E-band transmission
CH10 1451 nm 1444.5 to 1457.5 nm E-Band (Extended) 0.32 dB/km E/S band transition boundary
CH11 1471 nm 1464.5 to 1477.5 nm S-Band (Short) 0.28 dB/km Lower S-band transmission
CH12 1491 nm 1484.5 to 1497.5 nm S-Band (Short) 0.25 dB/km Standard PON downstream (1490 nm)
CH13 1511 nm 1504.5 to 1517.5 nm S-Band (Short) 0.23 dB/km Pre-EDFA amplification window
CH14 1531 nm 1524.5 to 1537.5 nm C-Band (Conventional) 0.21 dB/km Lower EDFA blue-band gain region
CH15 1551 nm 1544.5 to 1557.5 nm C-Band (Conventional) 0.19 dB/km Minimum fiber attenuation baseline
CH16 1571 nm 1564.5 to 1577.5 nm L-Band (Long) 0.21 dB/km C/L band boundary channel
CH17 1591 nm 1584.5 to 1597.5 nm L-Band (Long) 0.22 dB/km Extended Raman / L-Band EDFA window
CH18 1611 nm 1604.5 to 1617.5 nm L-Band (Long) 0.25 dB/km Upper optical transmission boundary

Table 1C: Optical Spectral Bands, Wavelength Windows & Attenuation Profiles

ITU-T G.692 / G.694 / G.652.D Spectral Windows
Optical Spectral Band Wavelength Range (λ) Nominal Attenuation (α) Chromatic Dispersion (D) Amplification Technology & Dominant Industry Applications
O-Band (Original) 1260 – 1360 nm 0.32 – 0.38 dB/km ≈ 0 ps/(nm·km) (λ0) 10GBASE-LR, 100GBASE-LR4, CWDM channels (1271–1351 nm), semiconductor optical amplifiers (SOA).
E-Band (Extended) 1360 – 1460 nm 0.28 – 0.35 dB/km +2.0 – +6.0 ps/(nm·km) Eliminated water peak in G.652.D (zero OH− absorption @ 1383 nm). Full CWDM spectrum (1371–1451 nm).
S-Band (Short) 1460 – 1530 nm 0.22 – 0.26 dB/km +7.0 – +13.0 ps/(nm·km) Thulium-doped fiber amplifiers (TDFA) & Raman multi-band DWDM transmission expansion.
C-Band (Conventional) 1530 – 1565 nm 0.18 – 0.20 dB/km +15.0 – +18.0 ps/(nm·km) Global Minimum Loss Window (∼0.19 dB/km @ 1550 nm). Core DWDM, Erbium-Doped Fiber Amplifiers (EDFA), 100G–800G coherent optics.
L-Band (Long) 1565 – 1625 nm 0.20 – 0.24 dB/km +18.0 – +22.0 ps/(nm·km) L-Band EDFA amplifiers, dual-band C+L long-haul transport doubling fiber capacity.
U-Band (Ultra-Long) 1625 – 1675 nm 0.24 – 0.30 dB/km +22.0 – +25.0 ps/(nm·km) High macro-bending sensitivity. In-service OTDR line monitoring & dark fiber telemetry (1625/1650 nm).

Table 1C-2: Optical Fiber Physical Constants & Transmission Baselines

ITU-T G.652 / G.655 / ISO 11801 OM3-OM5
Fiber Specification Standard Fiber Core Type Mode Field Diameter (MFD) Attenuation (α @ 1310/1550) Chromatic Dispersion (D) PMD Coefficient Effective Area (Aeff)
ITU-T G.652.D (Standard SMF-28) Single-Mode 9.2 ± 0.4 μm 0.33 / 0.19 dB/km ≤ 18.0 ps/(nm·km) ≤ 0.10 ps/√km 80 μm²
ITU-T G.655 (NZDSF - Leaf / TrueWave) Single-Mode 8.4 ± 0.5 μm 0.35 / 0.21 dB/km 2.0 to 6.0 ps/(nm·km) ≤ 0.05 ps/√km 72 μm²
ITU-T G.657.A2 (Bend-Insensitive FTTH) Single-Mode 8.8 ± 0.4 μm 0.34 / 0.20 dB/km ≤ 18.0 ps/(nm·km) ≤ 0.06 ps/√km 75 μm²
ISO/IEC OM3 (Laser-Optimized 50/125) Multimode (MMF) 50.0 ± 2.5 μm 2.40 dB/km @ 850nm EMB ≥ 2000 MHz·km N/A (Modal Limited) ~1960 μm²
ISO/IEC OM4 (High-Speed DC 50/125) Multimode (MMF) 50.0 ± 2.5 μm 2.30 dB/km @ 850nm EMB ≥ 4700 MHz·km N/A (Modal Limited) ~1960 μm²
ISO/IEC OM5 (Wideband SWDM 50/125) Multimode (WBMMF) 50.0 ± 2.5 μm 2.20 dB/km @ 850nm EMB ≥ 4700 @ 850nm / 2470 @ 953nm N/A (SWDM Optimized) ~1960 μm²
Related Calculators: DWDM Wavelength Grid → CWDM Channel Grid → Optical Link Budget Calculator → Chromatic Dispersion Estimator →
3GPP RAN Specifications

2. 5G NR & 4G LTE Radio Access Network Specifications (3GPP Standards)

Standardized Physical Resource Block (PRB) channel boundaries, operating frequency band allocations, and Channel Quality Indicator (CQI) spectral efficiency baselines governed by 3GPP TS 38.101-1, TS 38.101-2, and TS 38.214.

Table 2A: 5G NR FR1 & FR2 Transmission Bandwidth Configuration (Max PRB Matrix)

3GPP TS 38.101-1 Table 5.3.2-1
Subcarrier Spacing (Δf) 5 MHz 10 MHz 15 MHz 20 MHz 40 MHz 50 MHz 80 MHz 100 MHz 200 MHz 400 MHz
15 kHz (μ=0) 25 52 79 106 216 270 — — — —
30 kHz (μ=1) 11 24 38 51 106 133 217 273 — —
60 kHz (μ=2) — 11 18 24 51 65 107 135 264 —
120 kHz (μ=3, FR2) — — — — — 32 — 66 132 264

Table 2B: 5G NR Operating Frequency Bands & Rasters (FR1 & FR2 mmWave)

3GPP TS 38.101-1 / TS 38.101-2 / TS 38.104
NR Band Common Name Duplex Mode Uplink (UL) Range Downlink (DL) Range Channel Raster (ΔFraster) Global Raster (ΔFGlobal) Supported Carrier Bandwidths Primary Deployment Context
n1 2100 MHz Core FDD (Paired) 1920 – 1980 MHz 2110 – 2170 MHz 100 kHz 5 kHz 5, 10, 15, 20 MHz Global roaming, legacy 3G/LTE refarm
n2 1900 MHz PCS FDD (Paired) 1850 – 1910 MHz 1930 – 1990 MHz 100 kHz 5 kHz 5, 10, 15, 20 MHz North America macro coverage & DSS refarm
n3 1800 MHz DCS FDD (Paired) 1710 – 1785 MHz 1805 – 1880 MHz 100 kHz 5 kHz 5, 10, 15, 20, 25, 30 MHz Primary European/Asian urban capacity
n5 850 MHz Cellular FDD (Paired) 824 – 849 MHz 869 – 894 MHz 100 kHz 5 kHz 5, 10, 15, 20 MHz Sub-1GHz low-band coverage, Americas & APAC
n7 2600 MHz IMT-E FDD (Paired) 2500 – 2570 MHz 2620 – 2690 MHz 100 kHz 5 kHz 5, 10, 15, 20, 25, 30, 40, 50 MHz High-density metropolitan capacity layer
n8 900 MHz E-GSM FDD (Paired) 880 – 915 MHz 925 – 960 MHz 100 kHz 5 kHz 5, 10, 15, 20 MHz Deep indoor & wide-area coverage layer
n12 700 MHz Lower a/b/c FDD (Paired) 699 – 716 MHz 729 – 746 MHz 100 kHz 5 kHz 5, 10, 15 MHz North America rural & suburban baseline coverage
n20 800 MHz EU Dividend FDD (Paired) 832 – 862 MHz 791 – 821 MHz 100 kHz 5 kHz 5, 10, 15, 20 MHz European rural coverage and IoT baseline layer
n25 1900 MHz Extended FDD (Paired) 1850 – 1915 MHz 1930 – 1995 MHz 100 kHz 5 kHz 5, 10, 15, 20, 25, 30, 40 MHz Extended PCS coverage & capacity
n28 700 MHz APT Plan FDD (Paired) 703 – 748 MHz 758 – 803 MHz 100 kHz 5 kHz 5, 10, 15, 20, 30 MHz National coverage, SA 5G standalone anchor
n38 2600 MHz TD TDD (Unpaired) 2570 – 2620 MHz 100 kHz 5 kHz 5, 10, 15, 20, 40 MHz TDD unpaired capacity layer
n40 2300 MHz TD TDD (Unpaired) 2300 – 2400 MHz 100 kHz 5 kHz 10, 15, 20, 30, 40, 50, 60, 80 MHz High-capacity metropolitan TDD
n41 2500 MHz BRS/EBS TDD (Unpaired) 2496 – 2690 MHz 15 / 30 kHz 5 kHz 10, 15, 20, 40, 50, 60, 80, 90, 100 MHz Massive MIMO mid-band anchor, North America & China
n48 3600 MHz CBRS TDD (Unpaired) 3550 – 3700 MHz 15 / 30 kHz 15 kHz 10, 20, 40, 50, 60, 80, 100 MHz US Citizens Broadband Radio Service (private 5G)
n66 1700/2100 AWS-3 FDD (Paired) 1710 – 1780 MHz 2110 – 2200 MHz 100 kHz 5 kHz 5, 10, 15, 20, 25, 30, 40 MHz US & Americas urban capacity expansion
n71 600 MHz US Digital FDD (Paired) 663 – 698 MHz 617 – 652 MHz 100 kHz 5 kHz 5, 10, 15, 20 MHz Nationwide low-band footprint (T-Mobile USA)
n77 3.7 GHz Mid-Band C-Band TDD (Unpaired) 3300 – 4200 MHz 15 / 30 kHz 15 kHz 10, 15, 20, 30, 40, 50, 60, 70, 80, 90, 100 MHz US C-Band & DoD spectrum auction anchor
n78 3.5 GHz Global C-Band TDD (Unpaired) 3300 – 3800 MHz 15 / 30 kHz 15 kHz 10, 15, 20, 30, 40, 50, 60, 70, 80, 90, 100 MHz The universal golden band for 5G eMBB worldwide
n79 4.7 GHz Mid-Band TDD (Unpaired) 4400 – 5000 MHz 15 / 30 kHz 15 kHz 40, 50, 60, 80, 100 MHz China, Japan & Russia high-capacity mid-band
n257 28 GHz mmWave TDD (FR2) 26500 – 29500 MHz 60 / 120 kHz 60 kHz 50, 100, 200, 400 MHz Extreme throughput, dense urban & stadium hotspots
n258 26 GHz mmWave TDD (FR2) 24250 – 27500 MHz 60 / 120 kHz 60 kHz 50, 100, 200, 400 MHz European pioneer mmWave band for private 5G
n260 39 GHz mmWave TDD (FR2) 37000 – 40000 MHz 60 / 120 kHz 60 kHz 50, 100, 200, 400 MHz US ultra-dense mmWave urban layer
n261 28 GHz mmWave US TDD (FR2) 27500 – 28350 MHz 60 / 120 kHz 60 kHz 50, 100, 200, 400 MHz US localized mmWave deployments
3GPP Global Frequency Raster Formula: FREF = FREF-Offs + ΔFGlobal × (NREF − NREF-Offs). For 0 – 3000 MHz: ΔFGlobal = 5 kHz (NREF range 0–599999). For 3000 – 24250 MHz: ΔFGlobal = 15 kHz (NREF range 600000–2016666). For 24250 – 100000 MHz: ΔFGlobal = 60 kHz (NREF range 2016667–3279165).

Table 2C: 3GPP 4-Bit Channel Quality Indicator (CQI) Table (Normal CP)

3GPP TS 38.214 Table 5.2.2.1-2 / TS 36.213
CQI Index Modulation Order Code Rate × 1024 Effective Code Rate Spectral Efficiency (bits/symbol) Approx. Target SINR (BLER ≤ 10%)
1 QPSK 78 / 1024 0.0762 0.1523 -6.7 dB
2 QPSK 120 / 1024 0.1172 0.2344 -4.7 dB
3 QPSK 193 / 1024 0.1885 0.3770 -2.3 dB
4 QPSK 308 / 1024 0.3008 0.6016 0.2 dB
5 QPSK 449 / 1024 0.4385 0.8770 2.4 dB
6 QPSK 602 / 1024 0.5879 1.1758 4.3 dB
7 16-QAM 378 / 1024 0.3691 1.4766 5.9 dB
8 16-QAM 490 / 1024 0.4785 1.9141 8.1 dB
9 16-QAM 616 / 1024 0.6016 2.4063 10.3 dB
10 64-QAM 466 / 1024 0.4551 2.7305 11.7 dB
11 64-QAM 567 / 1024 0.5537 3.3223 14.1 dB
12 64-QAM 666 / 1024 0.6504 3.9023 16.3 dB
13 64-QAM 772 / 1024 0.7539 4.5234 18.7 dB
14 64-QAM 873 / 1024 0.8525 5.1152 21.0 dB
15 64-QAM 948 / 1024 0.9258 5.5547 22.7 dB

Table 2C-2: 3GPP PDSCH Modulation and Coding Scheme (MCS) Index Table

3GPP TS 38.214 Table 5.1.3.1-1 (64-QAM / 256-QAM)
MCS Index (IMCS) Modulation Order (Qm) Modulation Scheme Target Code Rate (R × 1024) Spectral Efficiency (bits/symbol) Approx. Minimum SINR (dB)
0 2 QPSK 120 / 1024 0.2344 -4.5 dB
2 2 QPSK 193 / 1024 0.3770 -2.0 dB
4 2 QPSK 308 / 1024 0.6016 +0.5 dB
6 2 QPSK 449 / 1024 0.8770 +2.8 dB
8 2 QPSK 602 / 1024 1.1758 +4.5 dB
10 4 16-QAM 340 / 1024 1.3281 +5.2 dB
12 4 16-QAM 438 / 1024 1.7109 +7.3 dB
14 4 16-QAM 553 / 1024 2.1602 +9.5 dB
16 4 16-QAM 658 / 1024 2.5703 +11.2 dB
18 6 64-QAM 517 / 1024 3.0293 +13.0 dB
20 6 64-QAM 616 / 1024 3.6094 +15.2 dB
22 6 64-QAM 719 / 1024 4.2129 +17.5 dB
24 6 64-QAM 822 / 1024 4.8164 +19.8 dB
26 6 64-QAM 910 / 1024 5.3320 +21.8 dB
28 6 64-QAM 948 / 1024 5.5547 +23.0 dB

Table 2D: 3GPP LTE Operating Bands & EARFCN Calculation Reference

3GPP TS 36.101 Table 5.5-1 & Table 5.7.3-1
E-UTRA Band Common Designation Duplex Mode Uplink (UL) Range Downlink (DL) Range Downlink EARFCN (NDL) Uplink EARFCN (NUL) Carrier Offset (FDL_Low / FUL_Low) Supported Channel Bandwidths
Band 1 2100 MHz IMT Core FDD 1920 – 1980 MHz 2110 – 2170 MHz 0 – 599 18000 – 18599 2110 / 1920 MHz 5, 10, 15, 20 MHz
Band 2 1900 MHz PCS FDD 1850 – 1910 MHz 1930 – 1990 MHz 600 – 1199 18600 – 19199 1930 / 1850 MHz 1.4, 3, 5, 10, 15, 20 MHz
Band 3 1800 MHz DCS FDD 1710 – 1785 MHz 1805 – 1880 MHz 1200 – 1949 19200 – 19949 1805 / 1710 MHz 1.4, 3, 5, 10, 15, 20 MHz
Band 4 AWS-1 (1700/2100) FDD 1710 – 1755 MHz 2110 – 2155 MHz 1950 – 2399 19950 – 20399 2110 / 1710 MHz 1.4, 3, 5, 10, 15, 20 MHz
Band 5 850 MHz Cellular FDD 824 – 849 MHz 869 – 894 MHz 2400 – 2649 20400 – 20649 869 / 824 MHz 1.4, 3, 5, 10 MHz
Band 7 2600 MHz IMT-E FDD 2500 – 2570 MHz 2620 – 2690 MHz 2750 – 3449 20750 – 21449 2620 / 2500 MHz 5, 10, 15, 20 MHz
Band 8 900 MHz E-GSM FDD 880 – 915 MHz 925 – 960 MHz 3450 – 3799 21450 – 21799 925 / 880 MHz 1.4, 3, 5, 10 MHz
Band 12 700 MHz Lower a/b/c FDD 699 – 716 MHz 729 – 746 MHz 5010 – 5179 23010 – 23179 729 / 699 MHz 1.4, 3, 5, 10 MHz
Band 13 700 MHz Upper c FDD 777 – 787 MHz 746 – 756 MHz 5180 – 5279 23180 – 23279 746 / 777 MHz 5, 10 MHz
Band 14 700 MHz FirstNet PS FDD 788 – 798 MHz 758 – 768 MHz 5280 – 5379 23280 – 23379 758 / 788 MHz 5, 10 MHz
Band 20 800 MHz EU Dividend FDD 832 – 862 MHz 791 – 821 MHz 6150 – 6449 24150 – 24449 791 / 832 MHz 5, 10, 15, 20 MHz
Band 25 1900 MHz Extended FDD 1850 – 1915 MHz 1930 – 1995 MHz 8040 – 8689 26040 – 26689 1930 / 1850 MHz 1.4, 3, 5, 10, 15, 20 MHz
Band 28 700 MHz APT Plan FDD 703 – 748 MHz 758 – 803 MHz 9210 – 9659 27210 – 27659 758 / 703 MHz 3, 5, 10, 15, 20 MHz
Band 38 2600 MHz TD TDD 2570 – 2620 MHz 37750 – 38249 2570 MHz 5, 10, 15, 20 MHz
Band 40 2300 MHz TD TDD 2300 – 2400 MHz 38650 – 39649 2300 MHz 5, 10, 15, 20 MHz
Band 41 2500 MHz BRS/EBS TDD 2496 – 2690 MHz 39650 – 41589 2496 MHz 5, 10, 15, 20 MHz
Band 48 3600 MHz CBRS TDD 3550 – 3700 MHz 55240 – 56739 3550 MHz 5, 10, 15, 20 MHz
Band 66 AWS-3 (1700/2100) FDD 1710 – 1780 MHz 2110 – 2200 MHz 66436 – 67335 131972 – 132671 2110 / 1710 MHz 1.4, 3, 5, 10, 15, 20 MHz
Band 71 600 MHz US Digital FDD 663 – 698 MHz 617 – 652 MHz 68586 – 68935 133122 – 133471 617 / 663 MHz 5, 10, 15, 20 MHz
3GPP EARFCN Carrier Calculation Formula:
Downlink Frequency: FDL = FDL_Low + 0.1 × (NDL − NOffs_DL)
Uplink Frequency: FUL = FUL_Low + 0.1 × (NUL − NOffs_UL) (with frequencies in MHz and 100 kHz channel raster spacing).

Table 2E: Cellular RF Signal Quality & Coverage Thresholds (RSRP, RSRQ, SINR & RSSI)

3GPP TS 36.133 / TS 38.133 Field Engineering Standards
Signal Quality Rating RSRP (dBm) RSRQ (dB) SINR (dB) RSSI (dBm) Modulation Support & Throughput Impact Field RF Diagnosis & Optimization Action
Excellent (Near-Cell LoS) ≥ -80 dBm ≥ -10 dB ≥ 20 dB ≥ -65 dBm Peak 256-QAM (DL) / 64-QAM (UL). Full Carrier Aggregation (CA) activated; maximum theoretical throughput. Cell center, high-density line of sight. Clean RF spectrum with no co-channel interference. Golden operating baseline.
Good (Mid-Cell Dominant) -80 to -90 dBm -10 to -15 dB 13 to 20 dB -65 to -75 dBm 64-QAM / 256-QAM high MCS indices. Stable VoLTE/VoNR crystal-clear voice and HD video streaming. Standard metropolitan/suburban operational baseline. Clear dominant server; low block error rate (BLER ≤ 2%).
Mid-Cell Fair (Transition) -90 to -105 dBm -15 to -20 dB 0 to 13 dB -75 to -85 dBm 16-QAM fallback, frequent QPSK shifts. Moderate data throughput; noticeable retransmissions (HARQ). Indoor building penetration loss or inter-cell overlap region. Serving cell preparing for A3 event measurement reporting.
Cell-Edge Poor (Handover) -105 to -120 dBm < -20 dB < 0 dB (Negative) -85 to -95 dBm QPSK robust low-order MCS only. Elevated BLER (> 10%); severe throughput degradation and increased latency. Handover failure risk. Extreme interference or shadow fading. Investigate antenna down-tilt, azimuth, or neighbor cell lists.
Unusable / Out of Service < -120 dBm < -25 dB < -5 dB < -95 dBm Disconnected / Radio Link Failure (RLF). Call drop, data freeze, automatic cell search / reselection triggered. Signal below receiver thermal noise / sensitivity threshold. Network blind spot; requires micro-cell / small-cell densification.
RF Quality Parameter Mathematical Definitions:
• RSRP (Reference Signal Received Power): Linear average of received power across resource elements carrying cell-specific reference signals (in dBm). Primary metric for cell selection and handovers.
• RSRQ (Reference Signal Received Quality): Calculated as RSRQ = N × (RSRP / RSSI), where N is the number of Resource Blocks across the measurement bandwidth. Measures signal cleanliness against total interference.
• SINR (Signal-to-Interference-plus-Noise Ratio): SINR = S / (I + N), measuring raw carrier signal strength against interfering neighbor sectors plus background thermal noise.
• Field Engineering Diagnostic: High RSSI combined with low RSRP and poor RSRQ/SINR indicates severe pilot pollution or strong co-channel interference from overlapping non-dominant sectors.
Related Calculators: 5G PRB Calculator → 5G NR Throughput Calculator → 5G NR ARFCN to Frequency → Cellular Radio Erlangs →
IEEE & ITU-R Propagation Standards

3. RF, Microwave & Terrestrial Propagation Constants

Universal physical constants of electromagnetic propagation, IEEE standardized radar frequency letter band designators, and empirical coaxial transmission line attenuation curves essential for RF link budgeting and antenna feeder loss verification.

Table 3A: IEEE & ITU Radar / Satellite Frequency Band Designations

IEEE Std 521-2019 / ITU-R Radio Regulations
Band Designation Frequency Range Wavelength Range Typical Telecom & Aerospace Applications
HF (High Frequency) 3 – 30 MHz 100 – 10 m Ionospheric skywave, maritime, military OTH radar
VHF (Very High Frequency) 30 – 300 MHz 10 – 1 m FM broadcast, air traffic control (ATC), Land Mobile Radio
UHF (Ultra High Frequency) 300 – 1000 MHz 100 – 30 cm Terrestrial TV, cellular sub-1GHz, public safety (P25)
L-Band 1 – 2 GHz 30 – 15 cm GPS / GNSS (L1/L2/L5), cellular (PCS/AWS), Iridium, Inmarsat
S-Band 2 – 4 GHz 15 – 7.5 cm Wi-Fi (2.4 GHz), Bluetooth, weather radar, SiriusXM, 5G n41
C-Band (Satellite / Radar) 4 – 8 GHz 7.5 – 3.75 cm Commercial satellite downlinks, Wi-Fi 5/6 (5 GHz), 5G C-Band
X-Band 8 – 12 GHz 3.75 – 2.5 cm Military fire control radar, deep space telecom, weather radar
Ku-Band 12 – 18 GHz 2.5 – 1.67 cm Direct Broadcast Satellite (DBS TV), Starlink Ku user terminals
K-Band 18 – 27 GHz 1.67 – 1.11 cm Water vapor absorption peak (22.2 GHz), automotive radar
Ka-Band 27 – 40 GHz 1.11 cm – 7.5 mm High-throughput satellite (HTS), O3b mPOWER, 5G mmWave n258
V-Band 40 – 75 GHz 7.5 – 4.0 mm Oxygen absorption resonance (60 GHz unlicensed WiGig / 802.11ad)
E-Band 71–76 / 81–86 GHz 4.2 – 3.5 mm Ultra-high-capacity mobile backhaul, 10G+ carrier microwave links

Table 3B: Coaxial Cable RF Attenuation & Velocity Factors (per 100 meters)

MIL-C-17 / Manufacturer Standard Benchmarks
Cable Type Impedance Dielectric Core Velocity Factor (Vf) @ 100 MHz @ 400 MHz @ 900 MHz @ 2.4 GHz @ 5.8 GHz
RG-58 C/U 50 Ω Solid PE 0.66 16.1 dB 37.7 dB 65.6 dB 121.0 dB 215.0 dB
RG-6 / U (CATV) 75 Ω Foam PE 0.82 6.5 dB 14.1 dB 22.0 dB 39.4 dB 68.2 dB
LMR-195 50 Ω Foam PE 0.76 11.8 dB 24.3 dB 37.4 dB 62.4 dB 102.0 dB
LMR-400 50 Ω Foam PE 0.85 4.6 dB 9.5 dB 14.8 dB 25.3 dB 41.7 dB
LMR-600 50 Ω Foam PE 0.87 3.0 dB 6.2 dB 9.8 dB 16.8 dB 28.2 dB
1/2" Andrew Heliax (LDF4-50A) 50 Ω Foamed PE 0.88 2.1 dB 4.5 dB 7.0 dB 12.1 dB 20.8 dB
7/8" Andrew Heliax (AVA5-50) 50 Ω Foamed PE 0.89 1.1 dB 2.4 dB 3.8 dB 6.8 dB 12.4 dB

Table 3C: Fundamental Physical & RF Engineering Constants

CODATA 2022 / NIST / IEEE 754 Standards
Physical Constant Name Symbol Standard Value & Copy Action Physical Definition & Application Notes
Speed of Light in Vacuum c 299,792,458 m/s Exact SI defining constant (17th CGPM)
Boltzmann Constant k 1.380649 × 10-23 J/K -228.6 dBW/(Hz·K), defining constant (26th CGPM)
Standard Noise Temperature T0 290.0 K (16.85 °C) Reference temperature defined in IEEE / ITU-R P.372
Thermal Noise Power Density N0 -174.0 dBm/Hz k × T0 = 4.0039 × 10-21 W/Hz (-204 dBW/Hz)
Intrinsic Impedance of Vacuum η0 376.73031 Ω (≈ 120π Ω) Free-space plane wave characteristic impedance
Refractive Index of SMF Glass n 1.4677 @ 1550 nm Standard Corning SMF-28 silica core at C-band
Vacuum Permittivity (Dielectric) ε0 8.8541878 × 10-12 F/m Electric constant in free space
Vacuum Permeability (Magnetic) μ0 1.2566371 × 10-6 H/m Magnetic constant in free space (4π × 10-7)
Elementary Charge e 1.6021766 × 10-19 C SI defined electron charge magnitude
Planck Constant h 6.62607015 × 10-34 J·s Defining quantum action constant (4.13567 × 10-15 eV·s)
Related Calculators: RF Link Power Budget → Frequency to Wavelength → VSWR & Return Loss → Atmospheric Attenuation (ITU-R P.676) →
IETF Network Protocol Standards

4. IP Networking, Overlays & Protocol Encapsulation Overheads

Exact protocol encapsulation budgets from L1 over-the-wire framing down to L4 transport and L3VPN network overlays. Crucial for TCP Maximum Segment Size (MSS) clamping calculations and WAN transit fragmentation prevention.

Table 4A: Master Protocol Header Byte Budget (L1 to L7 Encapsulation)

RFC 791 / RFC 8200 / RFC 7348 / IEEE 802.3
Protocol Layer Header Type / Protocol Standard RFC Exact Size (Bytes) Header Mutability Byte Structure Breakdown & Operation
Physical Layer (L1) Ethernet Framing Over-the-Wire IEEE 802.3 20 Bytes Fixed 7B Preamble + 1B SFD + 12B Inter-Packet Gap (IPG)
Data Link (L2) Standard Ethernet II Frame IEEE 802.3 / RFC 894 18 Bytes Fixed 6B Dst MAC + 6B Src MAC + 2B EtherType + 4B Frame Check Sequence (FCS)
Data Link (L2) 802.1Q Single VLAN Tag IEEE 802.1Q +4 Bytes Fixed 16b TPID (0x8100) + 3b PCP + 1b DEI + 12b VLAN Identifier
Data Link (L2) 802.1ad QinQ Provider Bridging IEEE 802.1ad +8 Bytes Fixed Dual VLAN stacking: 4B Service Tag (S-TAG) + 4B Customer Tag (C-TAG)
Shim (L2.5) MPLS Label Shim Header RFC 3032 +4 Bytes / label Stackable 20b Label + 3b Traffic Class (TC) + 1b Bottom-of-Stack (S) + 8b TTL
Network (L3) IPv4 Base Header RFC 791 20 Bytes 20 – 60 Bytes Fixed 20B without options; options rarely used on carrier transit paths
Network (L3) IPv6 Fixed Header RFC 8200 40 Bytes Fixed Streamlined 40B base header; extension headers inserted chained
Transport (L4) UDP Header RFC 768 8 Bytes Fixed 2B Src Port + 2B Dst Port + 2B Length + 2B Checksum
Transport (L4) TCP Header RFC 9293 20 Bytes 20 – 60 Bytes Fixed 20B base; typically 32B in practice with MSS, SACK, and Timestamps
Tunneling (L3/L4) Generic Routing Encapsulation (GRE) RFC 2784 / 2890 4 – 16 Bytes Variable 4B base; +4B Key, +4B Sequence Number, +4B Checksum when enabled
Overlay (L2-in-UDP) VXLAN Encapsulation (over IPv4) RFC 7348 50 Bytes Fixed 14B Outer Eth + 20B Outer IP + 8B UDP (port 4789) + 8B VXLAN Header (VNI)
Overlay (L2-in-UDP) VXLAN Encapsulation (over IPv6) RFC 7348 70 Bytes Fixed 14B Outer Eth + 40B Outer IPv6 + 8B UDP + 8B VXLAN Header
Overlay (L2-in-UDP) Geneve Extensible Overlay RFC 8926 50+ Bytes Variable 8B Geneve base header + variable length Type-Length-Value (TLV) options
Security (L3) WireGuard VPN Data Message WireGuard Paper 32 Bytes Fixed 1B Type + 3B Reserved + 4B Receiver + 8B Counter + 16B Poly1305 Auth Tag
Security (L3) IPsec ESP Tunnel (AES-256-GCM) RFC 4303 / 4106 50 – 56 Bytes Variable SPI(4B) + Seq(4B) + IV(8B) + ICV(16B) + Pad(0-15B) + NextHdr(2B)
Segment Routing SRv6 Segment Routing Header (SRH) RFC 8754 8B + 16B/SID Variable 8B base routing header + 16 Bytes per IPv6 Segment Identifier in list

Table 4B: TCP Maximum Segment Size (MSS) Clamping Reference (1500-Byte Path MTU)

RFC 879 / RFC 4459 (MSS = MTU - IP_Header - TCP_Header)
WAN Transport & Encapsulation Scenario Header Stack Breakdown Total Overhead Max Safe MSS Path MTU Required Operational Recommendation
Standard Ethernet IPv4 20B IPv4 + 20B TCP 40 Bytes 1460 Bytes 1500 Bytes Default standard Ethernet baseline
Standard Ethernet IPv6 40B IPv6 + 20B TCP 60 Bytes 1440 Bytes 1500 Bytes Baseline for unencapsulated dual-stack
PPPoE Broadband (DSL/FTTH) 8B PPPoE + 20B IP + 20B TCP 48 Bytes 1452 Bytes 1492 Bytes Clamping standard on residential BNGs
IPv4 GRE Tunnel 20B OutIP + 4B GRE + 20B InIP + 20B TCP 64 Bytes 1436 Bytes 1500 Bytes Unencrypted enterprise branch WAN
IPv4 IPsec ESP (AES-GCM) 20B OutIP + ~56B ESP + 20B InIP + 20B TCP ~96 Bytes 1404 – 1414 B 1500 Bytes Site-to-site IPsec tunnel safe clamp
IPv4 VXLAN Data Center Overlay 14B Eth + 20B OutIP + 8B UDP + 8B VXLAN + 40B InTCP/IP 90 Bytes 1410 Bytes 1550+ Bytes (Jumbo) Requires underlay MTU ≥ 1550B to avoid fragmentation
IPv6 SRv6 L3VPN 40B OutIPv6 + 24B SRH (1 SID) + 40B InTCP/IP 104 Bytes 1396 Bytes 1600+ Bytes (Jumbo) Telco 5G transport network slicing
Related Calculators: TCP Throughput & BDP → Switch Bufferbloat Sizing → Bandwidth Data Rate Converter →
ITU-T SG2 Teletraffic & Voice Standards

5. Teletraffic & Voice Engineering (Erlang Models & Audio Codecs)

Exact traffic dimensioning tables derived from the classical Erlang B loss distribution formula, alongside wire-level bandwidth consumption matrices for ITU-T and IETF voice codecs traversing standard IPv4/UDP/RTP packet networks.

Table 5A: Classical Erlang B Master Channel Capacity Table

ITU-T E.500 / E.520 (Loss Probability P)
Trunk / Channels (m) @ P = 0.001 (0.1%) @ P = 0.005 (0.5%) @ P = 0.010 (1.0%) @ P = 0.020 (2.0% Telco Default) @ P = 0.050 (5.0%)
1 0.001 Erlangs 0.005 Erlangs 0.010 Erlangs 0.020 Erlangs 0.053 Erlangs
2 0.046 Erlangs 0.105 Erlangs 0.153 Erlangs 0.224 Erlangs 0.381 Erlangs
4 0.439 Erlangs 0.701 Erlangs 0.869 Erlangs 1.092 Erlangs 1.525 Erlangs
8 2.094 Erlangs 2.730 Erlangs 3.128 Erlangs 3.627 Erlangs 4.543 Erlangs
12 4.364 Erlangs 5.357 Erlangs 5.976 Erlangs 6.729 Erlangs 8.022 Erlangs
16 6.994 Erlangs 8.325 Erlangs 9.142 Erlangs 10.11 Erlangs 11.73 Erlangs
24 (T1 PRI) 12.79 Erlangs 14.71 Erlangs 15.89 Erlangs 17.29 Erlangs 19.53 Erlangs
30 (E1 PRI) 17.48 Erlangs 19.82 Erlangs 21.25 Erlangs 22.92 Erlangs 25.56 Erlangs
48 32.41 Erlangs 35.86 Erlangs 37.95 Erlangs 40.38 Erlangs 44.15 Erlangs
60 42.86 Erlangs 46.99 Erlangs 49.48 Erlangs 52.37 Erlangs 56.81 Erlangs
96 75.29 Erlangs 81.16 Erlangs 84.66 Erlangs 88.69 Erlangs 94.75 Erlangs
120 97.47 Erlangs 104.3 Erlangs 108.4 Erlangs 113.1 Erlangs 120.1 Erlangs
240 211.7 Erlangs 222.1 Erlangs 228.1 Erlangs 235.0 Erlangs 245.2 Erlangs

Table 5B: Unified Communications Voice Codec Specification Matrix

ITU-T / 3GPP / RFC 3551 (IPv4 + UDP + RTP = 40B Header)
Audio Codec Name Standard Sampling Rate Algorithmic Bitrate Frame Size (ptime) Payload Size Packet Rate (PPS) IPv4 Wire Bandwidth Acoustic Quality & Telco Application
G.711u / G.711a (PCM) ITU-T G.711 8 kHz (Narrowband) 64.0 kbps 20 ms 160 Bytes 50 PPS 87.2 kbps Uncompressed toll-quality PSTN benchmark (MOS 4.1)
G.729a (CS-ACELP) ITU-T G.729 8 kHz (Narrowband) 8.0 kbps 20 ms 20 Bytes 50 PPS 31.2 kbps High compression carrier VoIP & satellite links (MOS 3.9)
G.722 (Sub-band ADPCM) ITU-T G.722 16 kHz (Wideband HD) 64.0 kbps 20 ms 160 Bytes 50 PPS 87.2 kbps HD Voice standard for enterprise IP-PBX & SIP (MOS 4.2)
AMR-WB (G.722.2) 3GPP / ITU-T G.722.2 16 kHz (Wideband HD) 12.65 – 23.85 kbps 20 ms 32 – 60 Bytes 50 PPS 42.4 – 53.6 kbps VoLTE and 5G VoNR primary high-definition speech codec
Opus Voice (Narrowband) IETF RFC 6716 8 – 16 kHz 16.0 kbps 20 ms 40 Bytes 50 PPS 38.4 kbps Highly adaptive WebRTC & modern conferencing codec
Opus Fullband (HD Music/Voice) IETF RFC 6716 48 kHz (Fullband) 32.0 kbps 20 ms 80 Bytes 50 PPS 54.4 kbps Loss-resilient studio-quality WebRTC audio streaming
iLBC (Internet Low Bitrate) IETF RFC 3951 8 kHz (Narrowband) 15.2 kbps 20 ms 38 Bytes 50 PPS 44.0 kbps Independent packet framing for packet-loss prone IP networks
Related Calculators: Erlang B & C Loss Calculator → Busy Hour Traffic Converter → SIP Trunk Bandwidth Calculator → Kendall M/M/c Queuing Delay →
ASHRAE TC 9.9 & Electrical Standards

6. Data Center Thermal & Electrical Facilities (ASHRAE TC 9.9)

Standardized thermal operating envelopes for mission-critical compute white space codified by ASHRAE Technical Committee 9.9 (2021 update), paired with continuous electrical circuit ampacity deratings per National Electrical Code (NEC Article 645) and IEC 60364.

Table 6A: ASHRAE TC 9.9 Thermal Environmental Envelopes (2021 Update)

ASHRAE TC 9.9 / Data Center Class A1–A4
Environmental Class & Envelope Dry-Bulb Temp Range Max Dew Point Relative Humidity (RH) Max Elevation Derating Engineering Significance
Recommended Envelope (Classes A1–A4) 18.0 – 27.0 °C (64.4 – 80.6 °F) 15.0 °C DP -9.0 °C DP (or 8%) to 60% RH 0.5 °C per 300 m above 950 m Target envelope for maximum hardware MTBF and low fan power
Allowable Class A1 15.0 – 32.0 °C (59.0 – 89.6 °F) 17.0 °C DP 20% to 80% RH 1.0 °C per 300 m above 900 m Legacy mainframes and sensitive storage arrays
Allowable Class A2 10.0 – 35.0 °C (50.0 – 95.0 °F) 21.0 °C DP 20% to 80% RH 1.0 °C per 300 m above 900 m Standard commercial rack servers and high-density compute
Allowable Class A3 5.0 – 40.0 °C (41.0 – 104.0 °F) 24.0 °C DP 8% to 85% RH 1.0 °C per 175 m above 900 m Hyperscale free-air cooled facilities with hardened nodes
Allowable Class A4 5.0 – 45.0 °C (41.0 – 113.0 °F) 24.0 °C DP 8% to 90% RH 1.0 °C per 125 m above 900 m Cell tower edge compute cabinets and unconditioned shelters

Table 6B: Standard Data Center Electrical Circuit Ampacities & Deratings

NEC 80% Rule (Continuous Load) / IEC 60309 / 0.98 Power Factor
Nominal Voltage Phase Topology Receptacle & Breaker Rating Continuous Usable Limit Max Real Power (@ 0.98 PF) Target Data Center Application
120V AC 1-Phase (L-N) 20 Amps (NEMA 5-20R) 16.0 Amps 1.88 kW Legacy peripheral racks, network patch panels
208V AC 1-Phase (L-L) 30 Amps (NEMA L6-30R) 24.0 Amps 4.89 kW Low-density enterprise 19-inch equipment racks
208V AC 3-Phase Wye (L-L-L) 20 Amps (L21-20R) 16.0 Amps 5.65 kW Standard dual-whip blade chassis and telecom racks
208V AC 3-Phase Wye (L-L-L) 30 Amps (L21-30R) 24.0 Amps 8.48 kW Medium-density cloud compute racks (8 to 10 kW)
208V AC 3-Phase Wye (L-L-L) 50 Amps (CS8365) 40.0 Amps 14.13 kW High-density GPU clusters and AI inference racks
208V AC 3-Phase Wye (L-L-L) 60 Amps (IEC 60309) 48.0 Amps 16.96 kW Ultra-dense storage arrays and high-capacity PDUs
415V AC 3-Phase Wye (L-L-L) 30 Amps (IEC 60309) 24.0 Amps 16.91 kW North American hyperscale 415/240V transformation
415V AC 3-Phase Wye (L-L-L) 60 Amps (IEC 60309) 48.0 Amps 33.82 kW High-efficiency 30kW+ generative AI GPU training clusters
230V AC 1-Phase (L-N IEC) 16 Amps (IEC 60309) 16.0 Amps (100%) 3.61 kW Standard European & Asian telecom rack distribution
230V AC 1-Phase (L-N IEC) 32 Amps (IEC 60309) 32.0 Amps (100%) 7.21 kW Standard European medium-density compute feed
400V AC 3-Phase Wye (IEC) 16 Amps (IEC 60309) 16.0 Amps (100%) 10.86 kW Standard European 3-phase rack distribution whip
400V AC 3-Phase Wye (IEC) 32 Amps (IEC 60309) 32.0 Amps (100%) 21.73 kW European high-density cloud server deployment
400V AC 3-Phase Wye (IEC) 63 Amps (IEC 60309) 63.0 Amps (100%) 42.78 kW European liquid-cooled AI & HPC supercomputing rows
Related Calculators: Rack Power, BTU & PUE Calculator → Optical Link Budget → Engineering Standards Methodology →