Space-Time Coding Using Galois Fields for Multi-Antenna Correlation

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Solution Overview

Problem

In mobile communication systems, existing space-time coding technologies face challenges in maintaining high reliability and efficiency due to errors caused by multipath interference, fading, and lack of correlation between signals transmitted via multiple antennas, particularly in systems using three or more transmission antennas.

Innovation Solution

A space-time coding apparatus and method that converts non-binary symbols into a stream of binary bits using a de-mapper and distributes these bits across multiple antennas, increasing correlation and error correction by employing a Galois field for encoding and decoding, thereby enhancing HARQ efficiency and reliability.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If space-time coding is used with multiple transmission antennas to reduce error rates, then reliability is improved, but correlation between signals transmitted via multiple antennas is insufficient leading to reduced efficiency

Engineering Contradiction:
Improveerror rateVSAvoidtransmission efficiency
Core Design Contradiction:
ReliabilityVSProductivity

Solution Approach 1:

The patent extends space-time coding from traditional binary fields to non-binary Galois fields (GF(2^m)), adding a mathematical dimension to the coding scheme. This allows signals transmitted via multiple antennas to maintain stronger correlation while achieving diversity gain, thereby improving both reliability and efficiency simultaneously

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

Solution Approach 2:

The invention changes the fundamental parameter of the coding field from binary (GF(2)) to non-binary (GF(2^m)). This parameter change enables the system to achieve better signal correlation across multiple antennas while maintaining error correction capabilities, resolving the contradiction between reliability and transmission efficiency

Inventive Principle:
Principle #35Parameter changes

2Ease of manufacture

If conventional binary space-time coding is used, then implementation is simple, but error correction capability is insufficient for high-speed mobile communication

Engineering Contradiction:
Improveimplementation simplicityVSAvoiderror correction capability
Core Design Contradiction:
Ease of manufactureVSReliability

Solution Approach 1:

The patent transitions from binary coding parameters to non-binary Galois field parameters (GF(2^m)), enhancing error correction capability while maintaining a systematic coding structure that remains implementable through structured mapping and distribution processes

Inventive Principle:
Principle #35Parameter changes

3Reliability

If more transmission antennas are added to improve reliability, then diversity gain increases, but signal correlation between antennas decreases leading to lower system efficiency

Engineering Contradiction:
Improvediversity gainVSAvoidsystem efficiency
Core Design Contradiction:
ReliabilityVSProductivity

Solution Approach 1:

By extending the coding space to non-binary Galois fields, the patent enables the system to maintain strong signal correlation even when using three or more transmission antennas. The non-binary coding structure provides an additional mathematical dimension that preserves signal relationships across multiple antenna paths, allowing diversity gain to increase without sacrificing system efficiency

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

Data Source

PatentUS7450661B2Space-time coding method and apparatus in a mobile communication system
Publication Date: 2008.11.11 NOKIA TECHNOLOGIES OY
  • US7450661B2 patent drawing
  • US7450661B2 patent drawing
  • US7450661B2 patent drawing

AI summary

Disclosed is a space-time coding apparatus in a mobile communication system. The space-time coding apparatus includes a de-mapper for converting a non-binary symbol into a stream of m×a binary bits, and transmits the stream of binary bits output from the de-mapper via a plurality of antennas. The number of the antennas is m, and a distributor separately distributes the m×a binary bits to the m antennas.