Non-coherent squaring detector and its application to bi-phased signals

• Published in: IET radar, sonar & navigation Vol. 8; no. 4; pp. 327 - 335
• Main Author: Borio, Daniele
• Format: Journal Article
• Language: English
• Published: Stevenage The Institution of Engineering and Technology 01.04.2014; The Institution of Engineering & Technology
• Subjects: Approximation; approximation theory; Computer simulation; Criteria; data analysis; Data processing; false alarm approximation; generalised likelihood ratio test; GNSS; Likelihood ratio; linear combination; Monte Carlo methods; Monte Carlo simulations; Navigation; noncoherent squaring detector; NSD; pulsed biphased signal; pulsed pseudolite signal detection; satellite navigation; signal detection; Sonar; statistical analysis; statistical properties; approximation theory; signal detection; data analysis; pulsed pseudolite signal detection; GNSS; generalised likelihood ratio test; linear combination; pulsed biphased signal; Monte Carlo methods; Monte Carlo simulations; noncoherent squaring detector; false alarm approximation; satellite navigation; statistical analysis; statistical properties; NSD
• ISSN: 1751-8784; 1751-8792; 1751-8792
• DOI: 10.1049/iet-rsn.2013.0045

The non-coherent squaring detector (NSD) has been recently derived from the generalised likelihood ratio test (GLRT) as the linear combination of the non-coherent and squaring detectors. The statistical properties of the NSD are investigated and a simple criterion for fixing the decision threshold is provided. In particular, approximations for the false alarm and detection probabilities are derived and used to characterise the performance of the NSD. The application of the NSD to the detection of pulsed bi-phased signals is then considered. The validity of the theoretical findings is supported by real data analysis and Monte Carlo simulations.