R-Matrix Block Coding for Adjacent Bit Error Correction
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Solution Overview
Problem
As memory bit cells in integrated circuits (ICs) become smaller and denser, the likelihood of Single Event Upsets (SEUs) impacting multiple cells increases, while the demand for memory bandwidth also grows, posing a challenge for Error-Correcting Codes (ECC) to effectively address data corruption without hampering bandwidth demands.
Innovation Solution
The implementation of an R-matrix based encoding and decoding system that generates and corrects errors by distributing data and parity bits in a specific matrix format, allowing for detection and correction of single, double adjacent, and triple adjacent bit errors, while maintaining a high ratio of occupied to unoccupied cells, thus enhancing error detection and correction capabilities without increasing the number of parity bits.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If more parity bits are added to resolve data corruption issues through ECC, then error detection and correction capability is improved, but memory bandwidth is reduced
Solution Approach 1:
The patent segments the error detection and correction space into distinct syndromes (first syndrome for single bit errors, second syndrome for double adjacent bit errors, third syndrome for triple adjacent bit errors). This segmentation allows the ECC to efficiently identify and correct different error patterns without requiring excessive parity bits, thereby maintaining memory bandwidth while improving reliability.
Solution Approach 2:
The patent transitions from traditional Hamming Code configuration to an R-matrix format that arranges data bits and parity bits in a different dimensional structure. This dimensional change enables more efficient error space coverage, allowing the system to detect and correct multiple types of errors (single, double adjacent, triple adjacent) without proportionally increasing the number of parity bits, thus preserving memory bandwidth.
2Quantity of substance
If memory bit cells are made smaller and denser to increase capacity, then storage density is improved, but susceptibility to Single Event Upsets affecting multiple cells increases
Solution Approach 1:
The patent applies local quality by creating specialized error detection and correction mechanisms for different error patterns that are more likely to occur in dense memory configurations. The R-matrix format with its specific syndrome structure provides targeted protection for adjacent bit errors, which are the primary concern in densely packed memory cells susceptible to SEUs.
Solution Approach 2:
The patent implements beforehand cushioning by pre-configuring the R-matrix structure with specific parity bit arrangements and syndrome calculations that anticipate and prepare for various error patterns. This pre-prepared error correction framework allows the system to quickly identify and correct SEU-induced errors without compromising the high-density memory architecture.
3Ease of manufacture
If traditional Hamming Code configuration is used, then implementation simplicity is maintained, but error detection and correction coverage for adjacent bit errors is insufficient
Solution Approach 1:
The patent introduces dynamics by making the R-matrix configuration adaptable to different error patterns while maintaining a systematic structure. The matrix format allows dynamic identification of error types through syndrome analysis, enabling the system to switch between different correction strategies (single bit, double adjacent, triple adjacent) based on the detected error pattern, thus improving coverage without sacrificing implementability.
Data Source
AI summary
An embodiment of an apparatus for encoding. For this embodiment of the apparatus, an encoder block is coupled to receive input data. The encoder block has an R-matrix block. The R-matrix block is configured to: exclusively OR combinations of subsets of data bits of the input data to generate (n−1) parity bits for n a positive integer greater than zero; and exclusively OR a combination of all of the data bits and all the (n−1) parity bits to generate an (n) parity bit 9-to-7.