RRR Bit-String Block Encoding for Dense Data Compression
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Solution Overview
Problem
Existing data structures, such as the RRR, face inefficiencies in block encoding and decoding, particularly for dense bit strings, leading to increased memory usage and decreased processing speed.
Innovation Solution
A method involving a block encoding device and decoding device that divide input bit strings into blocks, determine weights and orders, and convert them into block encoding data, allowing for efficient encoding and decoding by processing the bit strings in a way that minimizes memory usage and maximizes processing speed.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If the input bit string is divided into fixed-length blocks and encoded as weight and order pairs, then the data structure achieves constant time manipulation, but the auxiliary area becomes too large to ignore for practical use
Solution Approach 1:
The patent divides the bit string into variable-length blocks instead of fixed-length blocks. Each block is further segmented into a prefix part and a suffix part, with different encoding strategies applied to each part. This segmentation allows the system to achieve constant time manipulation while reducing the auxiliary area by avoiding the overhead of fixed-length block structures.
Solution Approach 2:
The patent changes the block length parameter from fixed to variable based on the weight (number of 1s) in each block. Blocks with different weights are encoded with different lengths, optimizing the balance between manipulation speed and auxiliary area. This parameter change allows the system to adapt to different data densities and reduce overall storage requirements.
2Device complexity
If the block length is increased to reduce the number of blocks, then the encoding complexity decreases, but the working area increases causing swapping and speed decrease
Solution Approach 1:
The patent implements dynamic block sizing where the block length varies based on the content of the bit string. Instead of using a static block length, the system adjusts block size dynamically to optimize both encoding complexity and working area. This dynamic approach allows the system to maintain low complexity while keeping working area within main memory limits.
Solution Approach 2:
The patent performs preliminary calculations to determine optimal block boundaries before encoding. By pre-calculating the weight and determining block structure in advance, the system reduces the complexity of the actual encoding process while maintaining efficient use of working area. This preliminary action prevents the need for large working areas during the encoding operation.
3Area of stationary object
If the auxiliary area is reduced to fit in main memory, then swapping is avoided and speed is maintained, but the encoding and decoding efficiency decreases
Solution Approach 1:
The patent extracts the weight information (number of 1s) as a separate component from the block encoding. By taking out the weight as a distinct parameter, the system can store it efficiently in the auxiliary area while maintaining fast access during encoding and decoding operations. This extraction allows the system to fit within main memory while preserving encoding efficiency.
Solution Approach 2:
The patent introduces an intermediary structure that mediates between the bit string and the encoded representation. This intermediary uses variable-length blocks with prefix-suffix decomposition, allowing efficient encoding/decoding operations while keeping the overall auxiliary area small. The intermediary structure enables the system to maintain high productivity with reduced memory footprint.
4Area of stationary object
If variable-length blocks are used to reduce auxiliary area, then practical efficiency improves, but the encoding and decoding complexity increases
Solution Approach 1:
The patent uses a nested structure where each block is divided into a prefix part and a suffix part, with the prefix containing weight information and the suffix containing the actual bit pattern. This nested organization simplifies the encoding process by providing a clear hierarchical structure, reducing the complexity that would otherwise arise from variable-length blocks.
Solution Approach 2:
The patent applies different encoding qualities to different parts of the block structure. The prefix part uses a simplified encoding based on weight, while the suffix part uses a more detailed encoding. This local differentiation reduces overall encoding complexity by applying appropriate complexity only where needed, rather than uniformly across the entire block.
Data Source
AI summary
An efficient encoding/decoding method for block compression for RRR, provides an area-saving method that operates at high speed even with a dense bit string. A block encoding device generates blocks having a first block length by dividing an input bit string into a plurality of blocks, determines a first weight of each block from the number of 1 values included in the bit string, divides each block into small blocks having a second block length, determines a first order of the blocks in a set in which predetermined bit strings having the first block length and the first weight are arranged in a predetermined order on the basis of the weight and value of each of the small blocks, and generates block encoding data by converting the bit string of each block into the values of the determined first weight and first order.