TY - JOUR
T1 - Novel Second-Order Statistics of the Chirp Cyclostationary Signals
AU - Miao, Hongxia
AU - Zhang, Feng
AU - Tao, Ran
N1 - Publisher Copyright:
© 1994-2012 IEEE.
PY - 2020
Y1 - 2020
N2 - In communications and radar/sonar systems, one of the most popular nonstationary stochastic signal models is the chirp cyclostationary (CCS) signal. Recently, the second-order statistics of complex CCS signals are defined based on the conjugate correlation function, which have shown to be more proper in linear canonical transform domain than in the frequency domain. However, the information provided by unconjugate correlation function is missing, which leads to an incomplete study of second-order CCS signals. In this letter, the unified conjugate and unconjugate correlation function of CCS signals is researched. In detail, the definitions of the novel second-order statistics, chirp cyclic correlation and chirp cyclic spectrum, are expounded. Then the properties of these statistics are investigated. Finally, the additional information provided by the correlation function with conjugate operation and the usefulness of the proposed statistics are introduced and explained by simulations.
AB - In communications and radar/sonar systems, one of the most popular nonstationary stochastic signal models is the chirp cyclostationary (CCS) signal. Recently, the second-order statistics of complex CCS signals are defined based on the conjugate correlation function, which have shown to be more proper in linear canonical transform domain than in the frequency domain. However, the information provided by unconjugate correlation function is missing, which leads to an incomplete study of second-order CCS signals. In this letter, the unified conjugate and unconjugate correlation function of CCS signals is researched. In detail, the definitions of the novel second-order statistics, chirp cyclic correlation and chirp cyclic spectrum, are expounded. Then the properties of these statistics are investigated. Finally, the additional information provided by the correlation function with conjugate operation and the usefulness of the proposed statistics are introduced and explained by simulations.
KW - Chirp-cyclostationary (CCS) signals
KW - chirp period
KW - correlation function
KW - linear canonical transform (LCT)
UR - http://www.scopus.com/inward/record.url?scp=85087166106&partnerID=8YFLogxK
U2 - 10.1109/LSP.2020.2992178
DO - 10.1109/LSP.2020.2992178
M3 - Article
AN - SCOPUS:85087166106
SN - 1070-9908
VL - 27
SP - 910
EP - 914
JO - IEEE Signal Processing Letters
JF - IEEE Signal Processing Letters
M1 - 9085947
ER -