Non-uniform Bit Sequence Mapping for Gaussian Shaping Gain
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Solution Overview
Problem
Current modulation schemes in telecommunication networks do not efficiently map a plurality of bit sequences to signal points, resulting in suboptimal shaping gain and channel capacity utilization.
Innovation Solution
A method that determines the number of bit sequences to be mapped to each signal point according to a discrete Gaussian distribution, selecting sets that minimize the maximal Hamming distance among the selected sets, ensuring each bit sequence is mapped uniquely to a signal point, and optimizing the distribution to approach a Gaussian distribution for improved channel efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If natural mapping is used to map bit sequences to signal points, then the mapping process is simple, but the shaping gain is not optimal
Solution Approach 1:
The patent changes the mapping parameters by distributing bit sequences non-uniformly across signal points according to a discrete Gaussian distribution, rather than using uniform natural mapping. This parameter change optimizes the shaping gain while maintaining implementation feasibility through systematic selection rules.
2Ease of operation
If uniform mapping is used, then the mapping is straightforward, but the channel capacity utilization is suboptimal
Solution Approach 1:
The patent transforms the uniform mapping parameter into a non-uniform discrete Gaussian distribution parameter, which optimizes channel capacity utilization. The systematic selection process based on Hamming distance ensures the transformation maintains operational simplicity.
3Productivity
If bit sequences are mapped to minimize Hamming distance, then the mapping efficiency improves, but the selection process becomes more complex
Solution Approach 1:
The patent applies preliminary action by pre-determining the discrete Gaussian distribution parameters and preparing the selection criteria before the actual mapping process. This preliminary preparation reduces the complexity during real-time operation while maintaining high mapping efficiency.
Solution Approach 2:
The patent uses parameter changes by transforming the selection criterion into a systematic rule based on Hamming distance thresholds and discrete Gaussian distribution characteristics, which simplifies the complex selection process into manageable steps.
Data Source
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AI summary
A method of mapping a plurality of different bit sequences (u) to a plurality of different signal points (x) in a constellation, the number of bit sequences (u) being greater than the number of signal points (x), said method comprising, for a device in a telecommunication network, the acts of: - determining, for each signal point (x) in the constellation, a number of bit sequences (u) to be mapped to said each signal point (x), the numbers of bit sequences (u) being distributed according to a discrete Gaussian distribution among the constellation, - selecting in the plurality of bit sequences (u), for each signal point (x) in the constellation, a set comprising the determined number of bit sequences (u) that minimize the maximal Hamming distance among the selected sets.