Equal-Length Vector Segmentation for Stable Gain Quantization
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Solution Overview
Problem
Conventional methods for positional coding of audio/video signals face inefficiencies due to large codeword indices and varying energy content across input vector segments, leading to unstable gain quantization and inefficient coding.
Innovation Solution
A method for non-recursive segmentation of input vectors into equal-sized segments, followed by recursive determination of relative energy differences between segments, allowing for efficient coding by distributing bits based on energy and segment length.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If conventional clustering is used to reduce complexity, then device complexity is reduced, but manufacturing precision deteriorates because different parts of the input vector have very different sizes making positional coding inefficient
Solution Approach 1:
The input vector is divided into multiple segments of equal length, where each segment is processed separately through clustering and positional coding. This segmentation ensures that each segment maintains manageable size for efficient coding while collectively representing the entire input vector, thus resolving the contradiction between complexity reduction and coding precision.
Solution Approach 2:
Different clustering operations are performed on different segments of the input vector, allowing each segment to be processed with appropriate local characteristics. This local processing approach maintains coding precision within each segment while keeping overall device complexity manageable through modular processing.
2Adaptability or versatility
If the input vector is segmented into unequal parts, then adaptability improves for handling varying energy content, but manufacturing precision deteriorates because positional coding becomes inefficient
Solution Approach 1:
The input vector is divided into multiple segments of equal length, where each segment is processed separately through clustering and positional coding. This segmentation ensures that each segment maintains manageable size for efficient coding while collectively representing the entire input vector, thus resolving the contradiction between complexity reduction and coding precision.
Solution Approach 2:
The energy information of each segment is represented through parameters such as energy ratios and differential energy values. By transforming the energy distribution characteristics into these parameters, the system can adapt to varying energy content while maintaining equal segment lengths for efficient positional coding.
3Measurement precision
If conventional positional coding is applied to long input vectors, then measurement precision is maintained, but productivity deteriorates due to rapidly increasing number of combinations by increasing dimensions
Solution Approach 1:
The input vector is divided into multiple segments of equal length, where each segment is processed separately through clustering and positional coding. This segmentation ensures that each segment maintains manageable size for efficient coding while collectively representing the entire input vector, thus resolving the contradiction between complexity reduction and coding precision.
Solution Approach 2:
The problem of high-dimensional positional coding is transformed by introducing a new dimension of segmentation. Instead of directly coding positions in a high-dimensional space, the system divides the space into multiple lower-dimensional segments, codes each segment separately, and then combines the results, effectively reducing the computational complexity while maintaining coding accuracy.
Data Source
AI summary
A method for partitioning of input vectors for coding is presented. The method comprises obtaining of an input vector. The input vector is segmented, in a non-recursive manner, into an integer number, NSEG, of input vector segments. A representation of a respective relative energy difference between parts of the input vector on each side of each boundary between the input vector segments is determined, in a recursive manner. The input vector segments and the representations of the relative energy differences are provided for individual coding. Partitioning units and computer programs for partitioning of input vectors for coding, as well as positional encoders, are presented.


