To improve the spectrum sensing performance under correlated antenna array elements the generalized detector (GD) can be implemented at the low signal-to-noise ratio (SNR) in cognitive radio (CR) systems. The weighted GD (WGD) and the generalized likelihood ratio test for GD (GLRT-GD) are proposed to be used for coarse spectrum sensing when the noise power is known and unknown, respectively. The GD optimal detection threshold is defined based on the minimum probability of error criterion for different fading channels, namely, the additive white Gaussian noise (AWGN), Nakagami-m, and Rayleigh fading channels. The performance of the proposed algorithms are compared with the spectrum sensing performance of the energy detector (ED), weighted ED (WED), maximum-minimum eigenvalue (MME) detector, generalized likelihood ratio test for ED (GLRT-ED), matched filter (MF), arithmetic to geometric mean (AGM) detector, scaled largest eigenvalue (SLE), moment based detector (MBD),covariance based detector (CBD), and others. The simulation results demonstrate superiority in the spectrum sensing performance of the proposed algorithms in comparison with the above mentioned detectors. For example, the GLRT-GD achieves the SNR gain equal to 2.5 dB, 6.5 dB, and 7 dB in comparison with GLRT-ED, MME, and AGM, respectively at the probability of false alarm . The WED and GLRT-GD  implementation allows us to achieve a considerable spectrum sensing performance improvement at small number of samples under the low SNR and correlated antenna array elements.

Dr. Vyacheslav Tuzlukov received the MSc and PhD degrees in radio physics from the Belarusian State University, Minsk, Belarus in 1976 and 1990, respectively, and DSc degree in radio physics from the Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences in 1995. Starting from 1995 and till 1998 Dr. Tuzlukov was a Visiting Professor at the University of San-Diego, San-Die-go, California, USA. In 1998 Dr. Tuzlukov relocated to Adelaide, South Australia, where he served as a Visiting Professor at the University of Adelaide till 2000. From 2000 to 2002 he was a Visiting Professor at the University of Aizu, Aizu-Wakamatsu City, Fukushima, Japan and from 2003 to 2007 served as an Invited Professor at the Ajou University, Suwon, South Korea, within the Department of Electrical and Computer Engineering. Starting from March 2008 to February 2009 he joined as a Full Professor at the Yeungnam University, Gyeonsang, South Korea within the School of Electronic Engineering, Communication Engineering, and Computer Science. Starting from March 1, 2009 Dr. Tuzlukov served as Full Professor and Director of Signal Processing Lab at the Department of Communication and Information Technologies, School of Electronics Engineering, College of IT Engineering, Kyungpook National University, Daegu, South Korea. Currently, Dr. Tuzlukov is the Head of Department of Technical Exploitation of Aviation and Radio Engineering Equipment, Belarusian State Academy of Aviation, Minsk, Belarus. His research emphasis is on signal processing in radar, wireless communications, wireless sensor networks, remote sensing, sonar, satellite communications, mobile communications, and other signal processing systems. He is the author over 280 journal and conference papers, seventeenth books in signal processing published by Springer-Verlag and CRC Press. Some of them are Signal Detection Theory (2001), Signal Processing Noise (2002), Signal and Image Processing in Navigational Systems (2005), Signal Processing in Radar Systems (2012), Editor of the book Communication Systems: New Research (2013), Nova Science Publishers, Inc, USA, and has also contributed Chapters “Underwater Acoustical Signal Processing” and “Satellite Communications Systems: Applications” to Electrical Engineering Handbook: 3rd Edition, 2005, CRC Press; “Generalized Approach to Signal Processing in Wireless Communications: The Main Aspects and Some Examples” to Wireless Communications and Networks: Recent Advances, InTech, 2012; “Radar Sensor Detectors for Vehicle Safe-ty Systems” to Electrical and Hybrid Vehicles: Advanced Systems, Automotive Technologies, and Environmental and Social Implications, Nova Science Publishers, Inc., USA, 2014; “Wireless Communications: Generalized Approach to Signal Processing” and “Radio Resource Management and Femtocell Employment in LTE Networks”, to Communication Systems: New Research, Nova Science Publishers, Inc., USA, 2013; “Radar Sensor Detectors for Vehicle Safety Systems” to Autonomous Vehicles: Intelligent Transport Systems and Automotive Technologies, Publishing House, University of Pitesti, Romania, 2013; “Radar Sensor Detectors for Vehicle Safety Systems,” to Autonomous Vehicles: Intelligent Transport Systems and Smart Technologies, Nova Science Publishers, Inc., New York, USA, 2014; “Signal Processing by Generalized Receiver in DS-CDMA Wireless Communication Systems,” to Contemporary Issues in Wireless Communications. INTECH, CROATIA, 2014; “Detection of Spatially Distributed Signals by Generalized Receiver Using Radar Sensor Array in Wireless Communications,” to Advances in Communications and Media Research. NOVA Science Publishers, Inc., New York, USA, 2015; “Signal Processing by Generalized Receiver in Wireless Communication Systems over Fading Channels” to Advances in Signal Processing. IFSA Publishing Corp. Barcelona, Spain. 2021; “Generalized Receiver: Signal Processing in DS-CDMA Wireless Communication Systems over Fading Channels” to Book Title: Human Assisted Intelligent Computing: Modelling, Simulations and Its Applications. IOP Publishing, Bristol, United Kingdom, 2022; “Generalized Receiver: Signal Processing in DS-CDMA Wireless Communication Systems over Fading Channels.” Chapter 19 in Human-Assisted Intelligent Computing: Modeling, Simulations and Applications. IOP Publishing, Bristol, U.K. 2023. He participates as the General Chair, Keynote Speaker, Plenary Lecturer, Chair of Sessions, Tutorial Instructor and organizes Special Sections at the major International Conferences and Symposia on signal processing. Dr. Tuzlukov was highly recommended by U.S. experts of Defense Research and Engineering (DDR& E) of the United States Department of Defense as a recognized ex-pert in the field of humanitarian demining  and  minefield sensing technologies and had been awarded by Special Prize of the United States Department of Defense in 1999. Dr. Tuzlukov is distinguished as one of the leading achievers from around the world by Marquis Who’s Who and his name and biography have been included in the Who’s Who in the World, 2006-2013; Who’s Who in World, 25th Silver Anniversary Edition, 2008, Marquis Publisher, NJ,  USA;  Who’s  Who  in Science and Engineering, 2006-2012 and Who’s Who in Science and Engineering, 10th Anniversary Edition, 2008-2009, Marquis Publisher, NJ, USA; 2009-2010 Princeton Premier Business Leaders and Professionals Honours Edition, Princeton Premier Publisher, NY, USA; 2009 Strathmore’s Who’s Who Edition, Strathmore’s Who’s Who Publisher, NY, USA; 2009 Presidental Who’s Who Edition, Presidental Who’s Who Publisher, NY, USA; Who’s Who among Executives and Professionals, 2010 Edition, Marquis Publisher, NJ, USA; Who’s Who in Asia 2012, 2nd Edition,  Marquis Publisher, NJ, USA; Top 100 Executives of 2013 Magazine, Super Network Publisher, New York, USA, 2013; 2013/2014 Edition of the Global Professional Network, Business Network Publisher, New York, USA, 2013; 2013/2014 Edition of the Who’s Who Network Online, Business Network Publisher, New York, USA, 2014; On-line Professional Gateway, 2014 Edition, Business Network Publisher, New York,  USA,  2014; 2014 Worldwide Who's Who", Marquis Publisher, NJ, USA; 2015 Strathmore Professional Biographies, Strathmore’s Who’s Who Publisher, NY, USA; Who’s Who in World, 2015, Marquis Publisher, NJ, USA; 2015-2016 Membership in Exclusive Top 100 network of professionals in the world, NY, USA, 2015; 2015 Who’s Who of Executives and Professionals Honours Edition, Marquis Publisher, NJ, USA; Worldwide Who’s Who – Top 100 Business Networking, San Diego, CA, USA, 2015.