BLE Direction Finding: AoA and AoD for Indoor Positioning

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Angle of Arrival and Angle of Departure explained

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Direction Finding

Bluetooth Advertising">Direction Finding, introduced in Bluetooth 5.1, adds angular position to RSSI-based proximity. Instead of estimating distance, Direction Finding systems determine the angle at which a signal arrives (AoA) or departs (AoD), enabling sub-meter accuracy without additional infrastructure protocols like UWB.

AoA vs AoD

Two complementary methods exist, differentiated by which side hosts the antenna array:

Angle of Arrival (AoA): The locator has a multi-element antenna array. The tag transmits a continuous tone (CTE — Constant Tone Extension) on a single antenna. The locator samples the signal on each array element sequentially (IQ Sampling) and computes the phase differences to derive the angle.

Angle of Departure (AoD): The locator transmits the CTE while switching through its antenna array. The tag receives the signal on a single antenna. Phase differences at the tag's receiver encode the departure angle. The tag must compute and report the angle or raw IQ data to the system.

Property AoA AoD
Array location Locator (fixed infrastructure) Locator (fixed infrastructure)
Computing side Locator Tag (or tag + server)
Tag complexity Low (single antenna) Higher (angle computation)
Infrastructure cost High (array per locator) High (array per locator)
Privacy (tag tracking) Tag passively transmits Tag computes own position
Best for Asset tracking, RTLS Navigation, wayfinding

Antenna Arrays and IQ Sampling

Direction Finding accuracy depends on array geometry and element count. A linear array of N elements provides one-dimensional angular resolution (azimuth only). An L-shaped or planar array supports 2D or 3D positioning.

Array spacing is standardized at λ/2 (half-wavelength ≈ 6.25 cm at 2.4 GHz) to avoid spatial aliasing. Larger arrays improve angular resolution: a 4-element array achieves ±5–10°; a 16-element array can reach ±1–2°.

The radio switches between antenna elements at 1 µs or 2 µs intervals during the CTE. IQ samples (8-bit I + 8-bit Q) are collected per element. Phase difference between adjacent elements:

Δφ = (2π × d × sin θ) / λ

where d is element spacing, θ is the angle of arrival, and λ is wavelength. The MUSIC or ESPRIT algorithms extract θ from the IQ matrix.

Indoor Positioning Integration

Angle measurements from multiple locators trilaterate a tag's 3D position. Accuracy depends on:

Factor Impact
Number of locators 2 = 2D position, 3+ = 3D + redundancy
Array element count More elements → sharper angle resolution
Multipath environment Reflections degrade IQ coherence; open spaces are ideal
CTE length Longer (up to 160 µs) → more IQ samples → better SNR
Sync / calibration Locator positions must be surveyed accurately

The Range Calculator models path loss for locator placement. Commercially, AoA indoor positioning systems achieve 0.3–1 m accuracy in typical office environments, versus 2–5 m for RSSI fingerprinting.

Channel Sounding

Bluetooth 6.0 (2024) introduced Channel Sounding as a complement to Direction Finding. While Direction Finding measures angle, Channel Sounding measures Time of Flight (ToF) using phase-based ranging across multiple channels. Together they enable centimeter-level positioning:

  • Channel Sounding: 10–20 cm ranging accuracy
  • Direction Finding AoA: 1–3° angular accuracy
  • Combined: sub-30 cm 3D position

Channel Sounding uses the LE 1M PHY and requires both devices to support it (declared in LL features). It is expected to appear in production silicon through 2025–2026.

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