Reconfigurable Reed-Solomon Decoder for Low-Delay Systolic Processing
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Solution Overview
Problem
Existing Reed-Solomon decoders face inefficiencies due to high critical path delay, non-systolic architectures, and inability to handle shortened and punctured codewords, as well as errors and erasures simultaneously, leading to suboptimal performance and hardware inefficiency.
Innovation Solution
A reconfigurable systolic architecture with a Reconfigurable Arithmetic Processor (RAP) that uses a stack of Reconfigurable Elementary Units (REUs) to perform all decoding steps efficiently, including syndrome evaluation, erasure handling, and error correction, eliminating the need for separate hardware blocks and optimizing hardware usage across decoding steps.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If traditional Reed-Solomon decoder architecture is used, then decoding functionality is provided, but critical path delay is high and throughput is limited
Solution Approach 1:
The decoder is segmented into multiple identical processing elements arranged in a systolic array architecture. Each processing element handles a specific portion of the decoding computation, allowing parallel processing of syndrome evaluation, error location, and error value calculation. This segmentation eliminates the sequential bottlenecks in traditional architectures and reduces critical path delay by distributing computations across multiple concurrent units.
Solution Approach 2:
The processing elements are designed with reconfigurable arithmetic units that can dynamically adjust their operation modes based on the specific decoding requirements. The architecture supports configurable parameters for different Reed-Solomon code variants, allowing the same hardware to adapt to different code rates and block lengths without requiring separate dedicated hardware for each configuration, thus optimizing resource utilization and reducing overall system complexity.
2Adaptability or versatility
If separate hardware blocks are used for different decoding steps, then decoding functionality is comprehensive, but hardware efficiency is low and device complexity is high
Solution Approach 1:
Each processing element in the systolic array is designed as a universal unit capable of performing multiple decoding operations including syndrome evaluation, error location polynomial computation, error value calculation, and correction. The reconfigurable arithmetic units within each element can be programmed to execute different algorithmic steps, eliminating the need for separate dedicated hardware blocks for each decoding function. This multi-functionality reduces device complexity while maintaining comprehensive decoding capability.
Solution Approach 2:
The architecture merges multiple decoding functions into a unified systolic array structure where processing elements are interconnected to perform sequential and parallel operations within the same hardware fabric. The syndrome computation, error detection, and correction functions are combined into a single integrated flow, allowing data to flow through the array in a systolic manner where each element contributes to the overall decoding process without requiring separate hardware stages.
3Adaptability or versatility
If traditional architecture is used, then basic decoding is supported, but handling of shortened and punctured codewords with errors and erasures is inefficient
Solution Approach 1:
The reconfigurable processing elements allow dynamic adjustment of decoding parameters to accommodate different code variants including shortened and punctured Reed-Solomon codes. The architecture can be configured with different code lengths, block sizes, and error correction capabilities by reprogramming the arithmetic units. This parameter flexibility enables efficient handling of various code configurations without sacrificing decoding performance, as the same hardware can be optimized for specific code requirements through configurable operational modes.
Data Source
AI summary
A Reed Solomon decoder utilizes re-configurable and re-usable components in a granular configuration which provides an upper array and a lower array of repeated Reconfigurable Elementary Units (REU) which in conjunction with a FIFO can be loaded with syndromes and correction terms to decode Reed Solomon codewords. The upper array of REUs and lower array of REUs handle the Reed Solomon decoding steps in a pipelined manner using systolic REU structures. The repeated REU includes the two registers, two Galois Field adders, a Galois Field multiplier, and multiplexers to interconnect the elements. The REU is then able to perform each of the steps required for Reed-Solomon decoder through reconfiguration for each step using the multiplexers to reconfigure the functions. In this manner, a reconfigurable computational element may be used for each step of the Reed-Solomon decoding process.