Golden Code TCM Partitioning for Fading-Channel Coding Gain
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Solution Overview
Problem
Current spatio-temporal block codes, such as the Golden Code, face limitations in maximizing coding gain for high-speed wireless transmissions, particularly in fading channels, which affects error probability and overall transmission efficiency.
Innovation Solution
The implementation of a convolutional coding method that combines the Golden Code with trellis coded modulation (TCM), where the Golden Code partitioning is modified by multiplying the infinite Golden Code by elements from the set Bk, ensuring each partition step subdivides the set into a power of 2 subsets, thereby enhancing coding gain and error correction capabilities.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If standard Golden Code partitioning is used, then the code structure is simple, but the coding gain is insufficient for high-speed wireless transmissions
Solution Approach 1:
The patent applies segmentation by dividing the Golden Code set into multiple subsets through systematic partitioning. The code space is segmented into nested subsets where each partition step divides the current set into power-of-2 smaller subsets, enabling progressive coding gain enhancement while maintaining manageable complexity through structured organization
Solution Approach 2:
The patent introduces an additional dimension to the partitioning process by multiplying the Golden Code by elements from set Bk in the cyclic division algebra. This algebraic operation adds a new dimension to the partitioning structure, transforming the code organization from simple hierarchical division to a multi-dimensional algebraic framework that achieves higher coding gain
2Reliability
If the Golden Code is multiplied by more elements from set Bk to increase partitioning depth, then coding gain increases by factor of √2 for every 2 bits, but computational complexity increases
Solution Approach 1:
The patent applies preliminary action by pre-defining the set Bk of algebraic elements and establishing the partitioning structure before transmission. The convolutional encoder pre-processes the information sequence according to the predetermined partitioning scheme, enabling the system to achieve high coding gain through advance preparation rather than complex real-time computations
Solution Approach 2:
The patent utilizes parameter changes by varying the algebraic multiplication factors from set Bk at different partitioning stages. By changing the algebraic parameters (elements of Bk) systematically across partitioning steps, the system achieves progressive coding gain enhancement while maintaining regular computational patterns that prevent exponential complexity growth
Data Source
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AI summary
The invention concerns a convolutive coding method for block transmission of spatio-temporal codes in accordance with the so-called Golden Code technique, in a wireless communication network comprising at least one plurality of transmitting antennae. The invention is characterized in that the Golden Code encoding is associated with a trellis coded modulation TCM, and in that it consists in carrying out the required partitioning of said trellis such that for each partitioning step, a set G8 is multiplied by at least one element ß of the set Bk (k>1) of elements of Az such that: { X?Az et | Det(X) |2 = 2k}, the so-called "infinite Golden Code" set G8, being a main ideal of the ring Az such as defined by the Golden Code technique.