Enumerative Endec for Low-Latency MSB-to-LSB Decoding
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Solution Overview
Problem
Existing data processing circuits in read channel devices experience significant latency due to the need to buffer data before decoding, particularly when dealing with long blocks of data encoded from most significant bit (MSB) to least significant bit (LSB) and decoded in the opposite order.
Innovation Solution
The implementation of a storage system with a Maximum Transition Run (MTR) encoder and decoder that encodes and decodes data in the same order, using an enumerative encoder and decoder to limit transition runs and prevent carry-overs, allowing for immediate processing of data blocks without buffering.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If data is decoded in reverse order (LSB to MSB) as in conventional systems, then decoding accuracy is maintained, but latency increases due to required buffering
Solution Approach 1:
The patent inverts the conventional decoding order by decoding from MSB to LSB instead of LSB to MSB. This is achieved through an enumerative decoder that processes encoded data in the same direction as the encoder, eliminating the need for buffering while maintaining decoding accuracy through carryover cancellation mechanisms.
2Measurement precision
If data blocks are buffered before decoding to handle reverse order processing, then decoding accuracy is preserved, but processing speed decreases
Solution Approach 1:
The patent applies preliminary action by pre-defining enumeration bases and carryover cancellation rules before decoding begins. The system prepares lookup tables and control mechanisms in advance, allowing immediate MSB-to-LSB decoding without buffering delays while ensuring accuracy through pre-established correction protocols.
3Loss of time
If enumerative encoding with MSB to LSB processing is used, then latency is reduced by eliminating buffers, but device complexity increases
Solution Approach 1:
The patent changes the fundamental parameter of decoding direction from reverse (LSB to MSB) to forward (MSB to LSB) processing. This parameter change simplifies the system architecture by eliminating buffer requirements while managing complexity through standardized enumerative coding schemes and carryover cancellation algorithms.
4Ease of manufacture
If conventional encoding schemes are used without transition run limitations, then encoding simplicity is maintained, but error probability increases in retrieved data
Solution Approach 1:
The patent segments the encoded data stream by imposing maximum transition run (MTR) constraints that divide long sequences of identical bits into shorter segments. This segmentation prevents excessive run lengths that could cause decoding errors, while the enumerative coding scheme maintains relative simplicity through systematic base conversion and carryover management.
Data Source
AI summary
Various embodiments of the present invention provide apparatuses and methods for encoding and decoding data.