Prime-Factor Sequence Transmission with Golay Pairs
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current sequence design in downlink synchronization systems is limited by requiring a power of 2 sequences, which lacks flexibility and hinders optimal selection for ambiguity zone and detection precision requirements.
Innovation Solution
The method involves determining N first sequences based on prime numbers and Golay complementary pairs, allowing for flexible selection of sequence quantities and relationships between sub-sequence sets to enhance design diversity and detection performance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If a quantity of sequences is restricted to be a power of 2, then the sequence design follows a simple rule, but the flexibility and adaptability for different ambiguity zone requirements are reduced
Solution Approach 1:
The patent changes the parameter constraint from 'must be a power of 2' to 'can be any positive integer'. By introducing prime number factors into the sequence construction method, the system can now support flexible sequence quantities (e.g., 6, 10, 15, 21) while maintaining mathematical rigor and detection performance, thus resolving the contradiction between simplicity and flexibility.
Solution Approach 2:
The patent segments the sequence construction into modular components: base sequences, prime number factors, and composite structure. This segmentation allows flexible combination of components to achieve different sequence quantities without complicating the overall design process, maintaining ease of manufacture while enabling adaptability.
2Device complexity
If sequence design is limited to power of 2 quantities, then the design process is straightforward, but the detection precision and low ambiguity zone performance are compromised
Solution Approach 1:
The patent changes the quantitative parameter from restricted power-of-2 values to any positive integer by incorporating prime number theory. This enables optimization of sequence quantities for specific detection scenarios, achieving better low ambiguity zone performance and detection precision while keeping the design process manageable through systematic construction methods.
Solution Approach 2:
The patent creates composite sequence structures by combining base sequences with prime number factors and Golay complementary pairs. This composite approach enables tailored sequence designs that optimize detection precision for different applications while maintaining a systematic design process through the composite construction framework.
3Ease of manufacture
If adjacent sub-sequence sets are made identical, then the sequence design is simplified, but the low ambiguity zone distinctness and detection performance are reduced
Solution Approach 1:
The patent introduces dynamic design options for adjacent sub-sequence sets: they can be identical OR form Golay complementary pairs. This dynamic flexibility allows the designer to choose the relationship that best suits specific requirements - simplicity when identical sets are sufficient, and enhanced distinctness when complementary pairs are needed, thus resolving the contradiction between ease of manufacture and reliability.
Solution Approach 2:
The patent segments the sequence structure into sub-sequence sets that can independently be designed with different relationships. This segmentation enables selective application of identical or complementary relationships in different parts of the sequence structure, optimizing both design simplicity and low ambiguity zone distinctness according to specific application needs.
Data Source
AI summary
A sequence transmission method and an apparatus are provided, which may be applied to a downlink synchronization scenario, a random access scenario, a sensing scenario, a radar scenario, an integrated sensing and communication scenario, or the like, to increase sequence design diversity, and improve sequence design flexibility and target detection accuracy. The method includes: A transmit end apparatus determines N first sequences, and sends the N first sequences. An nth first sequence in the N first sequences is determined based on an nth second sequence in N second sequences, formula (I), am is a prime number, M is a positive integer greater than 1, and n=0,1, . . . , N−1. Each second sequence is a sequence in a Golay complementary pair GCP. The N second sequences include formula (II) first sub-sequence sets, each first sub-sequence set includes am second sub-sequence sets, each second sub-sequence set includes formula (III) second sequences, m=0,1, . . . , M−1, and a−1=1.