Invariant detection for short-code QPSK DS-SS signals

Authors:
Qing Mou;Ping Wei;Heng-Ming Tai
Affiliations:
Department of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China;Department of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China;Department of Electrical Engineering, University of Tulsa, Tulsa, OK 74104, USA
Venue:
Signal Processing
Year:
2010

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Abstract

This paper focuses on the optimal detection of quadrature phase-shift keying (QPSK) direct sequence spread spectrum (DS-SS) signals in additive white Gaussian noise (AWGN) with unknown parameters. We consider the invariant detection problem using the complex Gaussian mixture and the modulo-shift signal model, and derive constant-false-alarm-rate (CFAR) invariant detectors such as uniformly most-powerful invariant (UMPI) test and other sub-optimal invariant tests such as the generalized likelihood ratio test (GLRT). An approximation of the UMPI test under low signal-noise-ratio scenarios yields an asymptotic locally most-powerful invariant (ALMPI) test, which has similar computational complexity as the cycle feature detectors. The ALMPI test is computationally efficient compared with the UMPI and GLRT tests. Moreover, further approximation to the ALMPI test leads to the incoherent weighted multi-cycle detectors, which serve as the performance upper bound of all the spreading sequence period detectors based on second-order cyclostationary statistics. Simulation results demonstrate that the proposed ALMPI test exhibits better detection performance than cycle feature detectors with finite observation samples.