Reed-Solomon Bit Allocation for Coding Gain and Overhead Balance
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Solution Overview
Problem
The selection of error correction parameters for data transmission systems, such as DSL, is challenging due to the trade-off between coding gain and overhead loss, and is environment-dependent, affecting performance and capacity across various communication technologies.
Innovation Solution
An iterative method for dynamically determining forward error correction (FEC) parameters by establishing a relationship between coding gain and FEC parameters, initializing coding gain to a minimum value, incrementing it, and repeating the process to find an optimal set of parameters that balance code length and error rate, specifically using Reed-Solomon codes.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If large values are selected for code-word length n and redundant length r, then large coding gain can be achieved, but large overhead loss occurs
Solution Approach 1:
The patent applies dynamics by making the error correction parameters (code-word length n and redundant length r) variable rather than fixed. The system dynamically adjusts these parameters based on the measured signal-to-noise ratio distribution across DMT tones, allowing the coding gain to be optimized for current channel conditions while adapting the overhead loss accordingly. This resolves the contradiction by making both coding gain and overhead loss variable parameters that can be jointly optimized.
Solution Approach 2:
The patent changes the parameters of the error correction code (n and r) based on channel conditions. By establishing a relationship between these parameters and the signal-to-noise ratio distribution, the system selects parameter sets that provide appropriate coding gain for the current environment while controlling overhead loss. This parameter adaptation resolves the contradiction by allowing the system to operate at different points on the coding gain vs. overhead loss curve depending on channel quality.
2Reliability
If error correction parameters are optimized for specific transmission environments, then system performance improves, but the complexity of parameter selection increases
Solution Approach 1:
The patent applies preliminary action by pre-establishing the relationship between error correction parameters (n, r) and signal-to-noise ratio distribution. Instead of performing complex optimization calculations in real-time, the system pre-computes and stores parameter relationships that can be quickly referenced during operation. This reduces the complexity of real-time parameter selection while maintaining optimized system performance for specific transmission environments.
Solution Approach 2:
The patent uses feedback by measuring the actual signal-to-noise ratio distribution in the transmission channel and using this information to select appropriate error correction parameters. The system continuously monitors channel conditions and adjusts parameters based on the measured environment, creating a closed-loop control system that optimizes performance without requiring complex manual configuration.
Data Source
AI summary
Apparatus and method for generating parameters used in coding data in a data transmission system. The method determines a number of possible coding parameters to satisfy a target coding gain and selects the best set of parameters that balance the code word length and the error rate. In this manner, a minimum coding gain may be used, which minimizes cross-talk on a transmission link.