Abstract
New noise-immune codes as an alternative to Barker codes are searched for and studied. The construction of the codes is based on using the features of quasi-orthogonal matrices, including special Mersenne and Raghavarao matrices with cyclic structure. It has been demonstrated that these new codes exceed Barker codes, which are known to be the only codes with the highest peak side lobe ratio (PSLR). Their autocorrelation functions are compared in this work. The usage of the new codes obtained from rows of quasi-orthogonal Mersenne matrices is meant to increase the characteristics of compression, detection, accuracy, resolution, and noise immunity. The results obtained are meant to be used in modern radar, telecommunication, ultra-wideband, and “intellectual” systems of data detection and transmission.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Mahafza, B.R.: Radar Systems Analysis and Design Using MATLAB, 3rd edn. CRC Press, Boca Raton (2013)
Skolnik, Merrill I.: Radar Handbook, 3rd edn. The McGraw-Hill Companies, USA (2008)
Blaunstein, N.S., Sergeev, M.B., Shepeta, A.P.: Prikladnye aspekty elektrodinamiki [Applied Aspects of Electrodynamics]. Agraf+, Saint Petersburg, Russia (2016)
Klemm, R., Nickel, U., Gierull, Ch., Lombardo, P., Griffiths, H., Koch, W.: Novel Radar Techniques and Applications, Volume 1: Real Aperture Array Radar, Imaging Radar, and Passive and Multistatic Radar. SciTech Publishing, Stevenage (2017)
Balonin, N., Sergeev, M.: Mersenne and Hadamard matrices. Informatsionno-upravliaiushchie sistemy [Inf. Control Syst.] 1(80), 2–15 (2016)
Balonin, YuN, Sergeev, A.M., Vostrikov, A.A., Egorova, I.S.: On relationships among quasiorthogonal matrices constructed on the known sequences of prime numbers. SPIIRAS Proc. 1(50), 209–223 (2017)
Sergeev, A., Blaunstein, N.: Orthogonal matrices with symmetrical structures for image processing. Informatsionno-upravliaiushchie sistemy [Inf. Control Syst.] 6(91), 2–8 (2017)
Balonin, N.A., Balonin, Y.N., Dokovic, D.Z., Karbovskiy, D.A., Sergeev, M.B.: Construction of symmetric Hadamard matrices. Informatsionno-upravliaiushchie sistemy [Inf. Control Syst.] 5(91), 2–11 (2017)
Nenashev, V.A., Sergeev, A.M., Kapranova, E.A.: Research and analysis of autocorrelation functions of code sequences formed on the basis of monocyclic quasi-orthogonal matrices. Informatsionno-upravliaiushchie sistemy [Inf. Control Syst.] 4(95), 4–19 (2018)
Kapranova, E.A., Nenashev, V.A., Sergeev, M.B.: Compression and coding of images for satellite systems of Earth remote sensing based on quasi-orthogonal matrices. In: Proceedings of SPIE, Image and Signal Processing for Remote Sensing XXIV, vol. 10789, pp. 1078923-1–1078923-6. Berlin, Germany (2018)
Chen, B., Wu, J.: Synthetic Impulse and Aperture Radar (SIAR): A Novel Multi-Frequency MIMO Radar. Wiley, New York (2014)
Nenashev, V.A., Sentsov, A.A., Shepeta, A.P.: The problem of determination of coordinates of unmanned aerial vehicles using a two-position system ground radar. In: 2018 Wave Electronics and Its Application in Information and Telecommunication Systems (WECONF), pp. 1–5. SUAI, Saint-Petersburg, Russia (2018)
Makhlin, A.M., Nenashev, V.A., Shepeta, A.P.: Comparative characteristics of quasi-optimal digital ultra-wideband signal detectors. In: 2018 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF), pp. 257–264. SUAI, Saint Petersburg, Russia (2018)
Sachs, J.: Handbook of Ultra-Wideband Short-Range Sensing: Theory, Sensors, Applications. Wiley-VCH Verlag & Co. KGaA (2012)
Lembrikov, B.I.: Novel Applications of the UWB Technologies, 2nd edn. ExLi4EvA, New York (2016)
Acknowledgements
The research leading to these results has received funding from the Ministry of Education and Science of the Russian Federation according to the project part of the state funding assignment No. 2.2200.2017/4.6.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Sergeev, A., Nenashev, V., Vostrikov, A., Shepeta, A., Kurtyanik, D. (2019). Discovering and Analyzing Binary Codes Based on Monocyclic Quasi-Orthogonal Matrices. In: Czarnowski, I., Howlett, R., Jain, L. (eds) Intelligent Decision Technologies 2019. Smart Innovation, Systems and Technologies, vol 143. Springer, Singapore. https://doi.org/10.1007/978-981-13-8303-8_10
Download citation
DOI: https://doi.org/10.1007/978-981-13-8303-8_10
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-8302-1
Online ISBN: 978-981-13-8303-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)