TY - GEN
T1 - Improved Lower Bound on Peak Correlation for Phase Coded Waveform Set
AU - Liu, Tianqu
AU - Sun, Jinping
AU - Hao, Zhimei
AU - Zhang, Yutao
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - The studies of the lower bound on peak value of aperiodic auto- and cross-correlation functions are of great significance for the multiple input multiple output (MIMO) radar phase coded waveform set design. The lower bound limits the performance of the phase coded waveform sets. However, existing lower bounds are not tight. In this paper, the mathematical relations among the 1) lower bound on peak of correlation functions of the complementary sequence set, 2) lower bound on peak of aperiodic correlation functions, 3) lower bound on peak of periodic correlation functions and 4) lower bound on peak of inner products are studied by analyzing the Welch lower bounds. Based on the mappings among these four kinds of lower bounds and a tighter lower bound on peak of correlation functions of the complementary sequence set obtained by using a frequency domain approach, a new improved lower bound on peak aperiodic correlation functions is proposed. The lower bound proposed in this paper is 18% higher than the Welch bound for some specific values of the set size M and sequence length N. When the sequence length N is sufficiently large, the proposed lower bound is tighter than the lower bound on peak of aperiodic correlation functions improved by the lower bound on peak of inner products.
AB - The studies of the lower bound on peak value of aperiodic auto- and cross-correlation functions are of great significance for the multiple input multiple output (MIMO) radar phase coded waveform set design. The lower bound limits the performance of the phase coded waveform sets. However, existing lower bounds are not tight. In this paper, the mathematical relations among the 1) lower bound on peak of correlation functions of the complementary sequence set, 2) lower bound on peak of aperiodic correlation functions, 3) lower bound on peak of periodic correlation functions and 4) lower bound on peak of inner products are studied by analyzing the Welch lower bounds. Based on the mappings among these four kinds of lower bounds and a tighter lower bound on peak of correlation functions of the complementary sequence set obtained by using a frequency domain approach, a new improved lower bound on peak aperiodic correlation functions is proposed. The lower bound proposed in this paper is 18% higher than the Welch bound for some specific values of the set size M and sequence length N. When the sequence length N is sufficiently large, the proposed lower bound is tighter than the lower bound on peak of aperiodic correlation functions improved by the lower bound on peak of inner products.
KW - aperiodic correlation
KW - complementary sequence set
KW - lower bound on correlation functions
KW - MIMO radar
KW - phase coded waveform set
KW - Welch bound
UR - https://www.scopus.com/pages/publications/85146892737
U2 - 10.1109/ICIEA54703.2022.10006061
DO - 10.1109/ICIEA54703.2022.10006061
M3 - 会议稿件
AN - SCOPUS:85146892737
T3 - ICIEA 2022 - Proceedings of the 17th IEEE Conference on Industrial Electronics and Applications
SP - 1189
EP - 1193
BT - ICIEA 2022 - Proceedings of the 17th IEEE Conference on Industrial Electronics and Applications
A2 - Xie, Wenxiang
A2 - Gao, Shibin
A2 - He, Xiaoqiong
A2 - Zhu, Xing
A2 - Huang, Jingjing
A2 - Chen, Weirong
A2 - Ma, Lei
A2 - Shu, Haiyan
A2 - Cao, Wenping
A2 - Jiang, Lijun
A2 - Shu, Zeliang
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 17th IEEE Conference on Industrial Electronics and Applications, ICIEA 2022
Y2 - 16 December 2022 through 19 December 2022
ER -