This paper addresses the problem of detecting the presence of a complex -valued, possibly improper, but unknown signal, common among two or more sensors (channels) in the presence of spatially independent, unknown, possibly improper and colored, noise. Past work on this problem is limited to signals observed in proper noise. A source of improper noise is IQ imbalance during down-conversion of bandpass noise to baseband. A binary hypothesis testing approach is formulated and a generalized likelihood ratio test (GLRT) is derived using the power spectral density estimator of an augmented sequence. An analytical solution for calculating the test threshold is provided. The results are illustrated via simulations.
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Spectrum-based comparison of multivariate complex random signals of unequal lengths
We consider the problem of comparing two complex multivariate random signal realizations of unequal lengths, to ascertain whether they have identical power spectral densities. A binary hypothesis testing approach is formulated and a generalized likelihood ratio test (GLRT) is derived. An asymptotic analytical solution for calculating the test threshold is provided. The results are illustrated via computer simulations. Past work on this problem is limited to either complex or real signals of equal lengths, or to real-valued scalar signals of unequal lengths. The proposed test has applications in diverse areas including user authentication in wireless networks with multiantenna receivers.
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- Award ID(s):
- 1617610
- PAR ID:
- 10058334
- Date Published:
- Journal Name:
- 51st Asilomar Conference on Signals, Systems and Computers
- Page Range / eLocation ID:
- 757 to 761
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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