TY - JOUR
T1 - Persymmetric Adaptive Array Detection of Spread Spectrum Signals
AU - Liu, Jun
AU - Zhou, Wuyang
AU - Zaimbashi, Amir
AU - Li, Hongbin
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2020/12
Y1 - 2020/12
N2 - The spread spectrum signal detection problem is examined in colored noise with an unknown covariance matrix. When the receiver is equipped with a symmetrically spaced linear array, persymmetry exists in the received data. We exploit the persymmetric structures to design adaptive detectors according to the principles of generalized likelihood ratio test (GLRT), Wald test, and Rao test. It turns out that the proposed GLRT has the same form as the proposed Wald test, and the Rao test does not exist. We prove that the proposed detector exhibits a constant false alarm rate against the unknown noise covariance matrix. Numerical examples demonstrate that the proposed detector has better performance than its non-persymmetric counterpart.
AB - The spread spectrum signal detection problem is examined in colored noise with an unknown covariance matrix. When the receiver is equipped with a symmetrically spaced linear array, persymmetry exists in the received data. We exploit the persymmetric structures to design adaptive detectors according to the principles of generalized likelihood ratio test (GLRT), Wald test, and Rao test. It turns out that the proposed GLRT has the same form as the proposed Wald test, and the Rao test does not exist. We prove that the proposed detector exhibits a constant false alarm rate against the unknown noise covariance matrix. Numerical examples demonstrate that the proposed detector has better performance than its non-persymmetric counterpart.
KW - Rao test
KW - Spread spectrum signals
KW - Wald test
KW - generalized likelihood ratio test
KW - persymmetry
UR - http://www.scopus.com/inward/record.url?scp=85097348941&partnerID=8YFLogxK
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U2 - 10.1109/TIT.2020.3014782
DO - 10.1109/TIT.2020.3014782
M3 - Article
AN - SCOPUS:85097348941
SN - 0018-9448
VL - 66
SP - 7828
EP - 7834
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 12
M1 - 9160984
ER -