序列(生物学)
算法
计算机科学
相关性
数学
遗传学
几何学
生物
作者
Yuanzhe Li,Weidong Hu,Hongqi Fan,Xiaoyong Du
出处
期刊:IEEE Signal Processing Letters
[Institute of Electrical and Electronics Engineers]
日期:2024-01-01
卷期号:31: 571-575
标识
DOI:10.1109/lsp.2024.3359575
摘要
The auto-correlation is not sufficient for the complete statistical characterization of a complex sequence, especially in applications involving nonlinear systems. Therefore, this letter addresses the sequence design problem considering the local shaping of complete second-order correlation, which controls the sidelobe level for both auto-correlation and conjugate correlation over specific lags. An efficient algorithm based on the Majorization-Minimization technique is proposed, which only consists of close-form iterations with full fast Fourier transform (FFT) operations. Numerical simulations indicate that the proposed algorithm significantly outperforms the existing gradient method in terms of the achieved objective and runtime. The application in nonlinear radar is also presented.
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