Quasi-Orthogonal Sequence Supersets for Low-Interference User Expansion
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Solution Overview
Problem
Current quasi-orthogonal (QO) sets in wireless communication systems, such as LTE, face limitations in expanding the number of orthogonal subsets while maintaining minimal interference between sequences, which is crucial for supporting an increased number of users and backward compatibility in future cellular communication systems.
Innovation Solution
A method to generate a superset Z of quasi-orthogonal sets by transforming an initial QO set S through symbol-by-symbol multiplication with specially designed signature sequences, expanding the number of orthogonal sets while maintaining low interference, and ensuring compatibility with existing systems.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Quantity of substance
If the number of orthogonal sets is increased to support more users, then the system capacity increases, but the interference between sequences increases
Solution Approach 1:
The patent extends the traditional QO set construction by introducing an additional dimension through the parameter q in the sequence definition. This allows generating supersets of QO sets with controlled interference properties, enabling expansion of the number of orthogonal sets while maintaining low interference through the mathematical structure of the extended sequence family.
Solution Approach 2:
The patent modifies the sequence construction by changing the parameters of the underlying mathematical structures (using different root indices u, different values of q, and different prime lengths N). By systematically varying these parameters, the patent generates multiple QO supersets with controlled inner product properties, allowing expansion of user capacity while maintaining interference constraints.
2Adaptability or versatility
If new sequences are added to support future users, then system capacity increases, but compatibility with existing systems may be compromised
Solution Approach 1:
The patent constructs QO supersets that generalize the existing QO set structure while maintaining the fundamental mathematical properties. The extended sequences preserve the orthogonality and controlled interference properties of traditional QO sets, allowing them to serve both legacy applications and new expanded capacity requirements within a unified framework.
Solution Approach 2:
The patent pre-defines the mathematical structure of extended QO supersets with controlled inner product bounds. By establishing the theoretical framework and sequence construction rules in advance, the patent ensures that future expansions can be systematically implemented while maintaining compatibility with existing system requirements and interference constraints.
Data Source
Figure 1
AI summary
The present invention relates to a method for using a superset Z of quasi-orthogonal sets of sequences, comprising the steps of: - generating a first set S comprising a plurality of quasi-orthogonal sets of sequences; - generating L number of second sets of quasi-orthogonal sets of sequences Th by symbol-by-symbol multiplication of each sequence in said first set S with signature sequences {wh (k)}, wherein h = 0,···, L-1, L is a positive integer larger than or equal to one, and each second set Th has the same number of quasi-orthogonal sets of sequences and the same length of sequences as said first set S ; and - generating said superset Z as the union of said first set S and said L number of second sets Th. Furthermore, the invention also relates to use, a computer program, a computer program product, and a device thereof.