Parametric ZCZ Sequence Generation for Wireless Systems
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Solution Overview
Problem
Existing methods for generating zero correlation zone (ZCZ) sequence sets lack flexibility in adjusting the sequence length and number of sequences, resulting in a relatively short zero correlation zone, making it difficult to design ZCZ sequence sets that meet specific requirements for wireless communication systems.
Innovation Solution
A parametric generating method for ZCZ sequence sets involves determining the sequence length, number of sequences, and zero correlation zone length, using a limited symbol set, constructing a DFT matrix, unitary matrix, and coefficient matrix, and employing iterative combinations to generate ZCZ sequence sets with desired properties, allowing for flexible relations between sequence length and number of sequences.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If existing generation methods are used, then ZCZ sequence sets can be generated, but the zero correlation zone length is relatively short and the relation between sequence length and number of sequences is not flexible
Solution Approach 1:
The patent applies dynamics by making the sequence generation process adaptable and adjustable. The method allows dynamic selection of sequence length N, number of sequences M, and zero correlation zone length Z through parametric control. The iterative combination mode enables the system to adapt to different requirements by adjusting parameters, transforming a static generation process into a dynamic one that can respond to varying system needs.
Solution Approach 2:
The patent directly applies parameter changes by introducing multiple controllable parameters (sequence length N, number of sequences M, zero correlation zone length Z, iteration count) that can be independently adjusted. By changing these parameters, the system can generate different ZCZ sequence sets with desired properties, achieving both flexibility in sequence configuration and extension of zero correlation zone length through optimized parameter selection.
2Adaptability or versatility
If existing generation methods are used, then sequence sets can be generated, but different ZCZ sequence sets cannot be designed according to different requirements
Solution Approach 1:
The patent applies segmentation by dividing the sequence generation process into distinct modular steps: determining system requirements, selecting initial sequences, constructing DFT and unitary matrices, performing iterative combinations, and generating final ZCZ sequence sets. This segmented approach allows each step to be independently optimized and controlled, enabling customization while managing complexity through systematic breakdown of the generation process.
Solution Approach 2:
The patent enables customization through dynamic parameter adjustment at each stage of the generation process. The iterative combination mode allows the system to adapt to different requirements by adjusting the number of iterations and selecting different initial sequences, matrices, and combination modes, thereby achieving high adaptability without proportionally increasing overall system complexity.
3Length of stationary object
If sequence length and number of sequences are fixed, then generation is simple, but the zero correlation zone cannot be extended to meet optimal requirements
Solution Approach 1:
The patent applies preliminary action by pre-defining the target zero correlation zone length Z and required sequence parameters before the generation process. The method performs preliminary calculations to determine the optimal number of iterations and selection of initial sequences that will achieve the desired zero correlation zone length. This preliminary planning enables the extension of zero correlation zone without excessive complexity during the actual generation phase.
Solution Approach 2:
The patent implements feedback through the iterative combination mode, where each iteration refines the sequence set based on correlation properties. The process continuously evaluates the zero correlation zone length and adjusts subsequent iterations accordingly, providing feedback control that extends the zero correlation zone to optimal lengths while managing complexity through systematic refinement rather than brute-force approaches.
Data Source
AI summary
A parametric generating method for a zero correlation zone sequence set, includes: determining a ZCZ sequence set to be generated; determining a limited symbol set; determining an initial non-periodic orthogonal complementary sequence set; constructing a discrete Fourier transformation matrix by using elements in the limited symbol set; constructing a coefficient matrix based on the number of sequences and the number of iterations in the sequence set; using the columns of the coefficient matrix respectively as the coefficients of each sequence in the ZCZ sequence set, iteratively generating ZCZ sequence sets by using a method of zero filling the tails of weighting coefficients; and traversing the coefficient matrix, and selecting a ZCZ sequence set meeting the criteria or an optimal ZCZ sequence set according to requirements.