Invariant detection for QPSK DS-SS signals

Authors:
Qing Mou;Ping Wei;Heng-Ming Tai
Affiliations:
Department of Electronic Engineering, University of Electronic Science & Tech. of China, Chengdu, Sichuan, China;Department of Electronic Engineering, University of Electronic Science & Tech. of China, Chengdu, Sichuan, China;Department of Electrical Engineering, University of Tulsa, Tulsa, OK
Venue:
MILCOM'09 Proceedings of the 28th IEEE conference on Military communications
Year:
2009

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Abstract

This paper investigates the invariant detection problem of quadrature phase-shift keying (QPSK) direct sequence spread spectrum (DS-SS) signals in additive white Gaussian noise (AWGN). Using the complex Gaussian mixture signal model and invariance principle, we consider the constant-false-alarm-rate (CFAR) invariant detectors and other sub-optimal invariant tests, including the uniformly-most-powerful-invariant (UMPI) test and the generalized likelihood ratio test (GLRT). We derive an asymptotic locally most-powerful invariant (ALMPI) test and obtain the incoherent weighted multi-cycle detectors, which act as the performance upper bound of the spreading sequence period detectors based on second-order cyclostationary statistics. Simulation results demonstrate that, with finite observation samples, the ALMPI test exhibits better detection performance than the cycle feature detectors.