5G NR & RAN 13 min read Published: Oct 2026 Zero Telemetry • Client-Side

Calculating 5G NR Peak & User Throughput: 3GPP TS 38.306 Mathematical Model

Calculate theoretical peak and practical 5G NR throughput using the official 3GPP TS 38.306 formula. Model MIMO layers, modulation order, PRBs, and overhead.

1. The Authoritative 3GPP TS 38.306 Throughput Standard

Unlike simplistic marketing estimators, the telecommunications industry calculates peak theoretical 5G NR data rates using the mathematically exact formulation specified in 3GPP Technical Specification TS 38.306 (Section 4.1.2).

The standard aggregates throughput across multiple Component Carriers (CC) in Carrier Aggregation (CA) by summing the individual transport block bitrates:

Official 3GPP TS 38.306 Peak Throughput Formulation Data Rate (Mbps) = 10⁻⁶ × ∑_j=1^J [ v_Layers^(j) × Q_m^(j) × f^(j) × R_max × (12 × N_PRB^{BW(j), μ} / T_s^μ) × (1 − OH^(j)) ]

2. Deconstructing Each Variable in the 3GPP Formula

J: The number of aggregated component carriers.
v_Layers: Maximum number of supported MIMO spatial layers (typically 4 layers for downlink, 2 for uplink on modern handsets).
Q_m: Modulation Order (bits per modulation symbol):
- QPSK: Q_m = 2
- 16-QAM: Q_m = 4
- 64-QAM: Q_m = 6
- 256-QAM: Q_m = 8
- 1024-QAM: Q_m = 10
f: Scaling factor (universally 1.0 in standard cellular deployments).
R_max: Maximum target coding rate according to 3GPP TS 38.212: 948 / 1024 ≈ 0.92578 for LDPC coding.
μ: 5G numerology index (μ = 1 for standard 30 kHz subcarrier spacing).
T_s^μ: Average OFDM symbol duration in seconds: T_s^μ = 10⁻³ / (14 × 2^μ). For μ = 1, T_s ≈ 3.5714 × 10⁻⁵ seconds.
N_PRB: Number of allocated Physical Resource Blocks (PRBs) for the given channel bandwidth and numerology. For 100 MHz bandwidth at 30 kHz SCS, N_PRB = 273.
12: Exactly 12 subcarriers per Physical Resource Block.
OH: Physical layer signaling overhead factor:
- FR1 Downlink: OH = 0.14 (14% overhead for PDCCH, PSS/SSS, PBCH, and DMRS).
- FR1 Uplink: OH = 0.08 (8% overhead).
- FR2 mmWave Downlink: OH = 0.18.

3. Step-by-Step Practical Calculation: 100 MHz C-Band (n78)

Let us compute the peak theoretical downlink physical layer throughput for a premier 100 MHz 5G NR TDD mid-band carrier using 4×4 MIMO and 256-QAM:

Step-by-Step Evaluation:

• v_Layers: 4

• Q_m: 8 (256-QAM)

• R_max: 948 / 1024 = 0.92578125

• N_PRB: 273 (100 MHz at 30 kHz SCS)

• Symbol Rate: (12 × 273) / (10⁻³ / 28) = 3,276 × 28,000 = 91,728,000 symbols/second

• Gross Bitrate: 4 × 8 × 0.92578125 × 91,728,000 = 2,717,400,000 bps ≈ 2,717.4 Mbps

• Subtracting Overhead (OH = 0.14): 2,717.4 × (1 − 0.14) = 2,336.96 Mbps (2.34 Gbps)

If the network deploys a typical TDD frame configuration with a 4:1 Downlink-to-Uplink slot ratio (approx. 74% downlink transmission time), the effective net downlink speed is 2,336.96 × 0.74 ≈ 1.73 Gbps.

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