Variable-Length Golomb Coding for Bandwidth-Limited Compression
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current data compression methods are inefficient in transmitting data across channels with bandwidth restrictions, particularly in low bit rate audio and video coding, as they do not effectively manage variable bit lengths and skewness in probability distributions, leading to suboptimal compression and increased memory usage.
Innovation Solution
The use of Golomb coding with variable length codes and adaptive coding techniques, such as Huffman coding, to encode data symbols by assigning shorter codes to frequently occurring symbols and longer codes to less frequent ones, along with treating sequences of Golomb Codes as a single string for further compression, and employing run length encoding to reduce the number of symbols transmitted.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If traditional Huffman coding is used to compress data, then compression efficiency is improved, but memory usage increases and performance degrades due to ineffective handling of variable bit lengths and skewness in probability distributions
Solution Approach 1:
The patent changes the parameter of code assignment by introducing Golomb codes that adapt to the skewness of probability distributions. Instead of using fixed Huffman coding, the system dynamically adjusts code lengths based on the statistical properties of the data, specifically targeting the skewness parameter to optimize compression while reducing memory requirements.
Solution Approach 2:
The patent implements dynamic coding by treating sequences of Golomb codes as a single string and adapting the coding strategy based on the observed data characteristics. This dynamic approach allows the system to adjust to variable bit lengths and changing probability distributions, improving compression efficiency without proportionally increasing memory usage.
2Loss of information
If variable length codes are used to assign shorter codes to frequent symbols, then compression efficiency is improved, but the complexity of managing variable bit lengths increases
Solution Approach 1:
The patent segments the coding process into distinct stages: first applying Golomb coding to handle the skewness in probability distributions, then treating sequences of these codes as unified strings. This segmentation simplifies the management of variable bit lengths by breaking down the complex variable-length coding problem into more manageable segments with regular structures.
Solution Approach 2:
The patent introduces an intermediary processing step where sequences of Golomb codes are treated as a single string before final encoding. This intermediary representation acts as a mediator that simplifies the variable bit length management by providing a regularized structure that is easier to handle than directly managing individual variable-length codes.
3Productivity
If data is transmitted across bandwidth-restricted channels, then communication efficiency is improved, but transmission time increases due to suboptimal compression
Solution Approach 1:
The patent optimizes transmission efficiency by changing the coding parameters to match the bandwidth constraints of the communication channel. By adjusting the Golomb code parameters based on the skewness of the data distribution, the system achieves better compression ratios, allowing more data to be transmitted in less time over bandwidth-restricted channels.
Data Source
AI summary
A system and method of compression is disclosed that includes the generation of position codes based on positions of individual codes. Individual codes having the same value are adjacent in the position code and are separated by a spacer code. The position codes can be generated from individual codes in increasing value or decreasing value of the individual codes. The position code can be prefixed by a maximum value of the individual codes or prefixed by a total number of the individual codes. The individual codes can be representative of an audio or a video data stream.