Matrix-Extended Sequence Transmission for Improved Correlation
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing sequences used in communication, such as ZC and m-sequences, suffer from poor cross-correlation and auto-correlation, leading to suboptimal communication performance.
Innovation Solution
A method and apparatus that extend a base sequence set using a matrix and/or function to improve sequence properties, such as auto-correlation and cross-correlation, by increasing sequence length and quantity, and applying techniques like Kronecker products and Hadamard products to enhance communication capacity and performance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If common sequences (ZC, m-sequence, Golay sequence) are used for communication, then the sequence can be generated with simple structures, but the cross-correlation and auto-correlation performance are poor
Solution Approach 1:
The patent segments the sequence generation process into two parts: using a simple base sequence (such as ZC sequence) and then applying extension operations (matrix multiplication, function transformation) to generate the final sequence set. This allows maintaining simple base sequence generation while achieving complex sequence properties through systematic extension, thus resolving the contradiction between sequence generation simplicity and correlation performance.
Solution Approach 2:
The patent changes parameters of the base sequence through systematic extension operations. By applying matrix multiplication (first matrix) and function transformation (first function) to the base sequence, the sequence length, correlation properties, and other parameters are transformed to achieve both good correlation performance and manageable generation complexity through parameter transformation rather than fundamental structure complexity.
2Productivity
If sequence length is increased to improve communication capacity, then communication capacity increases, but sequence generation and processing complexity increases
Solution Approach 1:
The patent increases sequence length not by directly extending the base sequence in a simple manner, but by transforming it into a higher-dimensional space through matrix multiplication and function application. The base sequence is extended from one dimension to multiple dimensions through the first matrix and first function, achieving length expansion while maintaining structured generation that controls processing complexity.
Solution Approach 2:
The patent embeds the base sequence within a larger sequence structure through nested operations. The base sequence is used to generate intermediate sequences, which are then further transformed through matrix operations and functions to create the final extended sequence set. This nested generation approach allows systematic length increase while controlling complexity through hierarchical structure.
3Reliability
If more sequences are generated to improve communication performance, then communication performance improves, but sequence storage and processing requirements increase
Solution Approach 1:
The patent creates a universal sequence generation framework where a single base sequence can generate multiple extended sequences through different matrix applications and function transformations. This multi-functional approach allows one base sequence to produce a whole family of sequences with different properties, improving communication performance without requiring proportionally more fundamental sequence generation resources.
Solution Approach 2:
The patent merges multiple sequence generation operations into a unified systematic approach. By combining matrix multiplication, function transformation, and base sequence generation into an integrated framework, the patent efficiently produces multiple sequences with good correlation properties while controlling storage and processing requirements through structured generation rather than independent sequence creation.
Data Source
AI summary
In a sequence transmission method, a communication apparatus transmits a signal based on a sequence in a first sequence set. The first sequence set is determined based on a first base sequence set in combination with at least one of a first matrix or a first function.