Continuum Symbol Encoding for Extended-Range Data Compression
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current data compression methods face challenges in selecting appropriate symbol forms, reducing similar symbols efficiently, and minimizing encoded data size while ensuring unique decoding, particularly due to limitations in entropy encoding and additional information management.
Innovation Solution
The use of a Continuum Operator to modify symbol values, allowing for extended ranges and efficient compression by representing data in numerical value symbols and generating intermediate data with continuum symbols, which can be processed to produce encoded data with enhanced compression capabilities.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Quantity of substance
If traditional entropy encoding methods are used to compress data, then data size is reduced, but the ability to handle extended symbol ranges and reduce similar symbols efficiently is limited
Solution Approach 1:
The patent applies parameter changes by modifying symbol values through the Continuum Operator, which transforms symbols into a continuous numerical range. This allows the encoding system to adapt to extended symbol ranges while maintaining compression efficiency, resolving the contradiction between data size reduction and symbol range handling capability.
Solution Approach 2:
The patent introduces dynamic adaptation by using the Continuum Operator to dynamically adjust symbol representations based on the data being encoded. This dynamic approach enables the system to efficiently handle varying symbol ranges and reduce similar symbols adaptively, overcoming the limitations of static traditional entropy encoding methods.
2Reliability
If more additional information is provided to enable unique decoding, then decoding accuracy is improved, but encoded data size increases
Solution Approach 1:
The patent applies preliminary action by pre-defining the mapping between modified symbols and original symbols through the Continuum Operator. This preliminary establishment of relationships allows the decoder to uniquely reconstruct original data without requiring extensive additional information, thus maintaining decoding reliability while minimizing encoded data size.
Solution Approach 2:
The patent introduces an intermediary mechanism where the Continuum Operator serves as a mediator between the original symbols and their encoded representations. This intermediary transformation creates a systematic relationship that enables unique decoding with minimal additional information, resolving the contradiction between decoding reliability and data size.
3Productivity
If data is represented in extended numerical ranges to improve compression, then compression efficiency is enhanced, but processing complexity increases
Solution Approach 1:
The patent replaces complex mechanical processing systems with a mathematical transformation approach using the Continuum Operator. This substitution simplifies the processing of extended numerical ranges by using systematic mathematical relationships instead of complex algorithms, thereby maintaining compression efficiency while reducing processing complexity.
Solution Approach 2:
The patent uses parameter changes through the Continuum Operator to transform data into an optimized numerical representation that enhances compression efficiency. The systematic parameter transformation maintains processing simplicity while achieving improved compression, resolving the contradiction between productivity and device complexity.
Data Source
AI summary
An encoder encodes data to generate corresponding encoded data. The encoder includes a data processing arrangement for applying one or more encoding processes to the data to generate the encoded data. The data processing arrangement is operable to represent the data at least partially in a set of numerical value symbols, if the data is not already expressed in numerical value symbols. The data processing arrangement is operable to generate intermediate data in which the numerical value symbols are represented by original values and at least one symbol by a modified value with one or more continuum symbols generated by a continuum operator. The one or more continuum symbols modify preceding symbol values to accommodate an extended range of symbols.