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We propose computationally inexpensive and efficient solutions for signal activity detection of Phase Shift Keying (PSK) signals in Additive White Gaussian Noise. We consider the complex amplitude of the signal as well as the information sequence as the unknown parameters. In addition, the noise variance is assumed unknown. We derive the Generalized Likelihood Ratio Test (GLRT) and suggest a computationally efficient implementation thereof. Furthermore, we develop a new inexpensive detector fordoi:10.1109/tcomm.2006.878830 fatcat:uvyz6zmwgzgtheno6sib2srakm