Terminal Positioning Using 2D-3D Angle Aggregation

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Solution Overview

Problem

Existing techniques for three-dimensional positioning of a terminal using relative angles between the terminal and base stations suffer from significant errors when the terminal's location is not a perfect cube.

Innovation Solution

A positioning apparatus that computes a temporary position using two-dimensional and three-dimensional direction vectors, determines a two-dimensional and three-dimensional position based on weighted components of base station positions, and aggregates these positions to reduce errors.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If three-dimensional positioning is performed using relative angles between terminal and base stations, then positioning functionality is achieved, but positioning error increases when the area shape is not a perfect cube

Engineering Contradiction:
Improvepositioning accuracyVSAvoidadaptability to different area shapes
Core Design Contradiction:
Measurement precisionVSAdaptability or versatility

Solution Approach 1:

The positioning calculation is divided into two independent segments: two-dimensional positioning in the horizontal plane and three-dimensional positioning including vertical direction. Each segment uses appropriate direction vectors and weights optimized for its dimension, allowing the system to adapt to different area shapes without compromising accuracy in either dimension

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent separates the positioning problem into two dimensionalities: 2D horizontal positioning using two-dimensional direction vectors and 3D vertical positioning using three-dimensional direction vectors. This dimensional separation allows each calculation to be optimized independently, resolving the contradiction between maintaining accuracy and adapting to various area shapes

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

2Device complexity

If a single three-dimensional position computation is used, then the positioning process is simple, but positioning error increases in non-cubic areas

Engineering Contradiction:
Improvepositioning computation complexityVSAvoidpositioning accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The positioning computation is segmented into two distinct computation processes: 2D position computation using two-dimensional direction vectors and weights, and 3D position computation using three-dimensional direction vectors and weights. This segmentation increases computational complexity but significantly improves positioning accuracy in non-cubic areas by allowing each dimension to be optimized independently

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent performs more computations than a simple single 3D calculation by conducting separate 2D and 3D position computations with different weights. This excessive action (performing multiple computations) resolves the contradiction by sacrificing some computational simplicity to achieve much higher positioning accuracy

Inventive Principle:
Principle #16Partial or excessive action

3Measurement precision

If two-dimensional and three-dimensional position computations are performed separately, then positioning accuracy improves, but computational process becomes more complex

Engineering Contradiction:
Improvepositioning accuracyVSAvoidpositioning computation time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The positioning computation is segmented into parallel 2D and 3D computation processes that can be executed independently and simultaneously. This segmentation improves accuracy by allowing dimension-specific optimization while minimizing time loss through parallel processing capability, avoiding sequential execution delays

Inventive Principle:
Principle #1Segmentation

Data Source

PatentUS12553980B2Positioning apparatus, positioning method, and non-transitory computer readable medium
Publication Date: 2026.02.17 MITSUBISHI ELECTRIC CORP
  • US12553980B2 patent drawing
  • US12553980B2 patent drawing
  • US12553980B2 patent drawing

AI summary

A positioning apparatus (100) includes a temporary position computation unit (120), a two-dimensional position computation unit (140), a three-dimensional position computation unit (150), and a position aggregation unit (160), and executes three-dimensional positioning of a terminal using a relative angle formed by each base station and the terminal. The temporary position computation unit (120) computes a temporary position of the terminal based on observation data. The two-dimensional position computation unit (140) computes a two-dimensional position of the terminal based on the observation data and the temporary position. The three-dimensional position computation unit (150) computes a three-dimensional position of the terminal based on the observation data and the temporary position. The position aggregation unit (160) determines the position of the terminal by aggregating the two-dimensional position and the three-dimensional position.