Large-array beamforming and gain in random multimode channels: Basic physical aspects and performance estimations

Authors

  • Alexander I. Malekhanov Institute of Applied Physics, Russian Academy of Sciences, Russian Federation
  • A. V. Smirnov Institute of Applied Physics, Russian Academy of Sciences, Russian Federation

DOI:

https://doi.org/10.1109/ICATT.2015.7136782

Keywords:

antenna array, array beamforming, coherence length, underwater sound channel, cross-modal correlations, modal noise, array gain

Abstract

An intrinsic issue of large-array beamforming and signal processing in random-inhomogeneous environments is known to be considerable degradation of signal coherence in space domain. Such a scenario arises in many applications, and array operations in underwater sound channels with emphasis on long-range sound propagation is one of the most typical cases. Another key issue is here the multimode propagation of the desired signal (and, generally, noise interference) so the spatial spectrum of the received field consists of numerous harmonics even for a single point source. In this paper, our focus is to demonstrate numerically the multimode signal coherence degradation at the large-array input, both for horizontal and vertical arrays in an underwater channel, and to predict the coherence effects on the output performance, array beampattern and gain included. The vertical array operation is emphasized to be the most interesting problem here due to the specific features of ambient noise in real oceanic channels. An essential conclusion concerns the fact that not only the signal coherence but signal localization in mode domain as is compared with the ambient noise affect together the array output performance.

References

SHIFRIN, Y.S. Statistical Antenna Theory. Golem Press, 1971.

SAZONTOV, A.G.; MALEKHANOV, A.I. Matched-field signal processing in underwater sound channels (review). Phys. Acoust., 2015, v.61, p.233-253, doi: http://dx.doi.org/10.1134/S1063771015020128.

ELISEYEVNIN, V.A.; ELISEYEVNIN, V.A. On the vertical antenna operation in a water layer. Sov. Phys. Acoust., 1981, v.27, p.228-233.

ELISEYEVNIN, V.A. Normal mode selection in shallow sea by vertical linear antenna. Sov. Phys. Acoust., 1986, v.32, p.54-60.

SAZONTOV, A.G.; FARFEL, V.A. On the horizontal array operation in random-inhomogeneous ocean. Sov. Phys. Acoust., 1990, v.36, p.130-136.

USCINSKI, B.J.; REEVE, D.E. The effect of ocean inhomogeneities on array output. J. Acoust. Soc. Am., 1990, v.87, p.2527-2534, doi: http://dx.doi.org/10.1121/1.399045.

GORODETSKAYA, E.Y.; MALEKHANOV, A.I.; TALANOV, V.I. Modelling of optimal array signal processing in underwater sound channels. Sov. Phys. Acoust., 1992, v.38, p.571-575.

GORODETSKAYA, E.Y.; MALEKHANOV, A.I.; SAZONTOV, A.G.; VDOVICHEVA, N.K. Deep-water acoustic coherence at long ranges: Theoretical predictions and effects on large-array signal processing. IEEE J. Oceanic Eng., 1999, v.24, p.156-172.

WAN, L.; ZHOU, J.-X.; ROGERS, P.H. Spatial coherence measurements from two L-shape arrays in shallow water. Acoust. Phys., 2009, v.55, p.383-392, doi: http://dx.doi.org/10.1134/S1063771009030142.

COLOSI, J.A.; DUDA, T.F.; MOROZOV, A.K. Statistics of low-frequency normal-mode amplitudes in an ocean with random sound-speed perturbations: Shallow water environments. J. Acoust. Soc. Am., 2012, v.131, p.1749-1761, doi: http://dx.doi.org/10.1121/1.3666002.

MALEKHANOV, A.I.; SMIRNOV, A.V. Signal coherence and coherence-induced effects on array output in multimode transmission channels. Proc. of IX Int. Conf. on Antenna Theory and Techniques, ICATT, 16-20 Sept. 2013, Odessa, Ukraine. IEEE, 2013, p.98-102, doi: http://dx.doi.org/10.1109/ICATT.2013.6650692.

LUCHININ, A.G.; KHIL'KO, A.I. Low-frequency acoustic tomography of a shallow sea by low-mode pulses. Acoustical Physics, 2005, v.51, p.182-194, doi: http://dx.doi.org/10.1134/1.1884494.

BREKHOVSKIKH, L.M.; LYSANOV, Y.P. Fundamentals of Ocean Acoustics. Springer, 1991, doi: http://dx.doi.org/10.1007/978-3-662-07328-5.

VIROVLYANSKY, A.L.; KOSTERIN, A.G.; MALAKHOV, A.N. Modal fluctuations in a canonical underwater sound channel. Sov. Phys. Acoust., 1989, v.35, p.229-235.

ARTELNYI, V.V.; RAEVSKII, M.A. Inter-modal correlations of the acoustic field in a waveguide with random volume inhomogeneities. Sov. Phys. Acoust., 1989, v.35 p.451-454.

SAZONTOV, A.G.; MATVEYEV, A.L.; VDOVICHEVA, N.K. Acoustic coherence in shallow water: Theory and observation. IEEE J. Oceanic Eng., 2002, v.27, n.3, p.653-664, doi: http://dx.doi.org/10.1109/JOE.2002.1040948.

CAREY, W.M. The determination of signal coherence length based on signal coherence and gain measurements in deep and shallow water. J. Acoust. Soc. Am., 1998, v.104, p.831-837, doi: http://dx.doi.org/10.1121/1.423357.

KUPERMAN, W.A.; INGENITO, F. Spatial correlation of surface generated noise in a stratified ocean. J. Acoust. Soc. Am., 1980, v.67, p.1988-1996, doi: http://dx.doi.org/10.1121/1.384439.

LUCHININ, A.G.; MALEKHANOV, A.I.; KHIL'KO, A.I. Wavefield control in multimode channels by the use of source arrays, with application to shallow-water sound. Proc. of VIII Int. Conf. on Antenna Theory and Techniques, ICATT, 20-23 Sept. 2011, Kyiv, Ukraine. IEEE, 2011, p.46-50, doi: http://dx.doi.org/10.1109/ICATT.2011.6170712.

Published

2015-04-25