BCH ECC Decoder Using LUT Error Locator Polynomial
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Solution Overview
Problem
As memory capacity increases, the time taken for Bose-Chaudhuri-Hocquenghem (BCH) decoding in non-volatile memory systems also increases, posing challenges for decoding efficiency and power consumption.
Innovation Solution
An error checking and correcting (ECC) decoder is designed with a syndrome generator circuit, an error locator polynomial circuit, and a decoding circuit, utilizing a lookup table (LUT) circuit to enhance speed and reduce power consumption by performing BCH decoding operations efficiently.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If traditional BCH decoding is used to ensure data reliability, then error correction capability is maintained, but decoding time increases and power consumption increases
Solution Approach 1:
The BCH decoding process is divided into multiple independent stages: syndrome generation, error location polynomial calculation, and error correction. Each stage processes specific portions of the decoding task separately, allowing for optimized resource allocation and parallel processing where applicable, thereby reducing overall decoding time while maintaining reliability
Solution Approach 2:
The syndrome generation is performed first as a preliminary step before error correction. By pre-calculating the syndromes and identifying error patterns early in the process, the system can quickly determine whether correction is needed and proceed directly to correction without redundant processing, reducing total decoding time
2Reliability
If traditional BCH decoding is used to ensure data reliability, then error correction capability is maintained, but power consumption increases
Solution Approach 1:
The decoding circuit is segmented into specialized sub-circuits for syndrome generation, error location polynomial calculation, and error correction. Each segment is optimized for its specific function, reducing overall power consumption by avoiding the need for a single large, always-active decoding unit
Solution Approach 2:
Traditional complex arithmetic operations are replaced with pre-computed lookup tables and simplified logic circuits. This substitution reduces the computational complexity and power consumption of the decoding process while maintaining the ability to correct errors effectively
3Quantity of substance
If memory capacity increases to meet storage demands, then storage capability is improved, but decoding time increases
Solution Approach 1:
The decoding process is segmented into independent stages that can be processed efficiently regardless of codeword size. This modular approach allows the system to handle larger memory capacities without proportionally increasing decoding time, as each segment processes fixed-size data units through optimized operations
Data Source
AI summary
An error checking and correcting (ECC) decoder is provided to perform a BCH decoding to decode codeword into decoded data. The ECC decoder includes a syndrome generator circuit, an error locator polynomial circuit, and a decoding circuit. The syndrome generator circuit generates a plurality of syndromes corresponding to the codeword. The error locator polynomial circuit performs an arithmetic operation by using the syndromes to generate a plurality of coefficients in an error locator polynomial. The arithmetic operation includes a plurality of operators, wherein at least one of the operators is a lookup table circuit. The decoding circuit obtains at least one solution to the error locator polynomial with the coefficients and corrects the codeword according to the solution to the error locator polynomial to generate the decoded data.