Andrey K. Morozov

Statistics of normal mode amplitudes in an ocean with random sound-speed perturbations: Cross-mode coherence and mean intensity

In this paper Creamers [(1996). J. Acoust. Soc. Am. 99, 2825-2838] transport equation for the mode amplitude coherence matrix resulting from coupled mode propagation through random fields of internal waves is examined in more detail. It is shown that the mode energy equations are approximately independent of the cross mode coherences, and that cross mode coherences and mode energy can evolve over very similar range scales. The decay of cross mode coherence depends on the relative mode phase randomization caused by coupling and adiabatic effects, each of which can be quantified by the theory. This behavior has a dramatic effect on the acoustic field second moments like mean intensity. Comparing estimates of the coherence matrix and mean intensity from Monte Carlo simulation, and the transport equations, good agreement is demonstrated for a 100-Hz deep-water example.

Statistics of low-frequency normal-mode amplitudes in an ocean with random sound-speed perturbations: Shallow-water environments

Second- and fourth-moment mode-amplitude statistics for low-frequency ocean sound propagation through random sound-speed perturbations in a shallow-water environment are investigated using Monte Carlo simulations and a transport theory for the cross-mode coherence matrix. The acoustic observables of mean and mean square intensity are presented and the importance of adiabatic effects and cross-mode coherence decay are emphasized. Using frequencies of 200 and 400 Hz, transport theory is compared with Monte Carlo simulations in a canonical shallow-water environment representative of the summer Mid-Atlantic Bight. Except for ranges less than a horizontal coherence length of the sound structure, the intensity moments from the two calculations are in good agreement. Corrections for the short range behavior are presented. For these frequencies the computed mode coupling rates are extremely small, and the propagation is strongly adiabatic with a rapid decay of cross-mode coherence. Coupling effects are predicted to be important at kilohertz frequencies. Decay of cross-mode coherence has important implications for acoustic interactions with nonlinear internal waves: For the case in which the acoustic path is not at glancing incidence with a nonlinear internal-wave front, adiabatic phase randomizing effects lead to a significantly reduced influence of the nonlinear waves on both mean and mean square intensity.

Entropy and scintillation analysis of acoustical beam propagation through ocean internal waves

Parabolic equation numerical simulations of waveguide acoustical beam propagation in an ocean of Garrett–Munk internal waves are used to examine the range evolution of beam properties such as beamwidth (both spectral and spatial), Shannon entropy, and scintillation index, as a function of beam angle. Simulations are carried out at 250- and 125-Hz acoustic frequencies. The ray trajectories associated with these beams are predominantly chaotic or exponentially sensitive to initial conditions and/or medium perturbations. At long range near saturation, the finite-frequency beams show a constant rate of change of Shannon entropy with range, independent of acoustic frequency. This full-wave rate of entropy is of the same order of magnitude as the average rate of entropy for the ray trajectories associated with this beam. Finite-range Lyapunov exponents provide the estimates of ray entropy rate or Kolmogorov–Siani entropy. The correspondence between full-wave and ray entropies suggests a full-wave manifestation ...

Per-survivor processing for underwater acoustic communications with direct-sequence spread spectrum

This paper proposes a receiver for direct-sequence spread spectrum transmissions in underwater acoustic channels, which combines a per-survivor processing (PSP) structure with sparse channel estimation. Specifically, the PSP structure establishes the trellis on the symbol level to render a small to moderate number of states, thus reducing the computational complexity. Meanwhile, the sparse channel estimation is performed on the chip level, where the orthogonal matching pursuit algorithm is used and a two-dimensional grid of path delay and Doppler scaling factor is incorporated in the dictionary construction. The effective combination of the PSP detection and sparse channel estimation achieves a good tradeoff between performance and complexity. Simulation and experiment results show that the proposed receiver outperforms the conventional RAKE receiver considerably, and most importantly, the proposed PSP receiver with an exact wideband dictionary maintains an excellent performance even for challenging underwater acoustic channels with large Doppler disparities on different paths.

OFDM Transmission Without Guard Interval in Fast-Varying Underwater Acoustic Channels

In this paper, we consider orthogonal frequency-division multiplexing (OFDM) transmission in fast-varying underwater acoustic channels. We demonstrate on experimental data that reliable communications can be achieved without any guard interval (such as cyclic prefix or zero padding) and with a superimposed pilot. Such OFDM transmission possesses a high spectral efficiency, but incurs severe intersymbol and intercarrier interference, and interference from the superimposed pilot. We propose a receiver that can efficiently deal with the interference and has a relatively low complexity as most of its operations are based on fast Fourier transform and local spline interpolation. The receiver is verified in an experiment with a transducer towed by a surface vessel moving at a high speed; a complicated trajectory of the transducer resulted in a severe Doppler distortion of the signal received on a single hydrophone. The performance of the proposed receiver is investigated for different parameter settings and compared with an ideal receiver with perfect channel knowledge, operating in interference-free scenarios, and mimicking the signal-to-noise ratio (SNR) of the experiment. The proposed receiver has provided error-free detection of encoded data at data rates of 0.5 b/s/Hz at a distance of 40 km and 0.33 b/s/Hz at a distance of 80 km, approaching the performance of the ideal receiver with a less than 3-dB loss in SNR.

Evaluation of a Long-Range Joint Acoustic Navigation / Thermometry System

The conceptual architecture of an ocean acoustic system with the dual uses of submerged platform navigation and large-scale temperature measurement has been developed, and is described here. Swept FM signals would be used to synthesize short-duration pulses. A 50-Hz bandwidth is to be used, within the frequency range of 100 to 200 Hz. The potential performance of the system is discussed here. Navigation performance is compared with that of the currently used 1.6-Hz bandwidth RAFOS system. Thermometry performance can be evaluated using experiences with prior systems

Acoustic communications and navigation under Arctic ice

Initial results of experiments performed under Arctic ice have shown that acoustic communications and navigation can be performed on scales of 10-100 km using relatively inexpensive and compact hardware. Measurements of the impulse response at ranges of 10 and 75 km reveal extensive scatter and both resolvable and unresolvable rays. Phase coherent communication using adaptive equalization was successful up to ranges of 70-90 km at data rates of 5-10 b/s. As the SNR drops to levels too low for phase coherent communication, short FM sweeps (5-10 s), are shown to provide sufficient gain to provide lower rate communications and also support navigation.

Stochastic differential equation analysis for sound scattering by random internal waves in the ocean

The scattering of a weakly divergent narrow sound beam by random inhomogeneities of a fluctuating ocean is considered in the coupled-mode approximation. The random index of sound refraction is described using the Garrett-Munk internal wave spectrum. The problem is solved using the stochastic differential equations for the first-and second-order statistical moments of the acoustic field. The equations are formulated according to the cumulant expansion method. The existence of weakly divergent narrow sound beams in long-range sound propagation was one of the last discoveries of L.M. Brekhovskikh, to which he attached much importance. The concentration of sound into narrow beams away from the axis of the underwater sound channel was first observed experimentally and then explained by Brekhovskikh and his former students Goncharov, Kurtepov, and Petukhov. In the present paper, the scattered field intensity of a sound beam is calculated for different frequencies and source depths. Analytical expressions are obtained for the coefficients of the differential equation. The intermode energy transfer that accompanies the long-range propagation of a weakly divergent sound beam is analyzed. A comparison with the conventionally used Monte Carlo simulation in the parabolic equation approximation is performed.

Modal processing for acoustic communications in shallow water experiment

Acoustical array data from the Shallow Water Acoustics experiment was processed to show the feasibility of broadband mode decomposition as a preprocessing method to reduce the effective channel delay spread and concentrate received signal energy in a small number of independent channels. The data were collected by a vertical array designed at the Woods Hole Oceanographic Institution. Phase-shift Keying (PSK) m-sequence modulated signals with different carrier frequencies were transmitted at a distance 19.2 km from the array. Even during a strong internal waves activity a low bit error rate was achieved.

Impulsive noise suppression in per-survivor processing based DSSS systems

Impulsive noise exists in many underwater acoustic communication environments, while traditional receivers often model it as an additive white Gaussian noise (AWGN). In a previous work, we proposed per-survivor processing (PSP) based receivers for direct sequence spread spectrum (DSSS) systems. In this work, we investigate two algorithms, passband and baseband clipping, for impulsive noise mitigation in PSP based DSSS systems. Simulation results show that both the passband and baseband clipping approaches can get better performance than the conventional receiver without clipping. Based on noise data collected from a sea test, the semi-experimental results show that both approaches can yield more than 1 dB gain if clipping ratios are properly selected, and that the passband clipping approach slightly outperforms the baseband clipping approach.