Multi-Beam Systems

Beam Scheduling

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The allocation of time, frequency, and spatial resources across multiple beams. In 5G NR, the MAC scheduler maps UEs to beams and assigns PRBs per 0.5 ms slot across 2 to 8 simultaneous analog chains. Dimensions: TDM (beams take turns), FDM (different PRBs), SDM (spatial separation). In HTS satellites, beam hopping allocates dwell time across 200+ spot beams with 20 to 40 active at once (DVB-S2X). Key metrics: aggregate throughput, fairness (Jain's index), utilization, and inter-beam interference.
5G NR: 0.5 ms/slot
Satellite: 10–100 ms cycle
Modes: TDM/FDM/SDM

Understanding Beam Scheduling

Beam scheduling sits at the intersection of physical-layer beamforming and higher-layer resource management. The scheduler must solve a combinatorial optimization problem each slot: given N available beams, K active UEs with beam reports, and limited hardware (analog chains, power amplifiers), select the beam-UE-PRB assignments that maximize system throughput while maintaining fairness.

The challenge intensifies with analog beamforming constraints. A 5G gNB with 64 beams but only 4 analog beamforming chains can serve at most 4 beam directions simultaneously. UEs on different beams must be time-multiplexed, introducing scheduling latency. Digital beamforming relaxes this constraint by enabling all beams simultaneously but at higher power consumption and cost.

Scheduling Capacity Formulas

TDM Beam Capacity:
Per-beam throughput = Rpeak × (Tdwell/Tcycle)
64 beams, 4 chains, R=1 Gbps:
Each beam: 1 Gbps × (4/64) = 62.5 Mbps avg

SDM Beam Capacity:
Per-beam: Rpeak (all beams simultaneous)
Requires digital BF or hybrid with enough chains
Inter-beam interference reduces effective rate

Satellite Beam Hopping Utilization:
η = ∑(Di × ti) / (Nactive × Tsuper)
Di = demand of beam i, ti = allocated time
Target η > 85% for cost-effective operation

Scheduling Mode Comparison

ModeSimultaneous BeamsInterferenceComplexity
TDM1 per chainNone (isolated)Low
FDMMultiple (split BW)Low (freq. sep.)Medium
SDMAll (spatial sep.)High (adjacent)High
Beam hoppingSubset (traffic-based)None (time-sep.)Medium
Common Questions

Frequently Asked Questions

5G NR scheduling?

Per-slot (0.5 ms): beam-to-slot mapping (limited by analog chains), UE-to-beam (from beam reports), PRB allocation within beams (proportional-fair). TDM cycles through beam groups every 5 to 20 ms.

Satellite beam hopping?

20 to 40 active beams hop across 200+ positions, dwell time proportional to traffic. Superframe: 10 to 100 ms. Full frequency reuse (color-1). DVB-S2X Annex E standardized. Power-efficient: shared amplifiers.

Inter-beam interference?

Managed via beam grouping (TDM adjacent beams), coordinated power control, CoMP joint transmission, and digital null steering. Scheduler uses per-beam CQI/SINR to select strategy per-slot.

Multi-Beam Systems

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