A Two-Stage Approach for the Estimation of Doubly Spread Acoustic Channels

In this paper, the estimation of doubly spread acoustic channels is investigated. By parameterizing the amplitude variation and delay variation of each path with polynomial approximation, this paper derives a mathematical model for the discrete-time channel input-output relationship tailored to single-carrier block transmissions. Based on the mathematical model, the channel estimation problem is transformed into estimation of the low-dimensional parameter sets (amplitude, delay, Doppler scale) that characterize the channel. A two-stage sparse channel estimation technique is then developed, which estimates the delay and Doppler scale sequentially. Compared to the one-stage joint estimation, the two-stage estimation approach greatly reduces the number of candidates on the delay-Doppler scale grid searched by the orthogonal matching pursuit (OMP) algorithm, that is, the dictionary size is reduced dramatically. As a result, the computational complexity is much lower. Further, the two-stage approach demonstrated higher levels of accuracy in computer simulations and led to better detection performance when applied to experimental data.

[1]  J. Preisig,et al.  Estimation of Rapidly Time-Varying Sparse Channels , 2007, IEEE Journal of Oceanic Engineering.

[2]  L. Bjorno,et al.  A simulation tool for high data-rate acoustic communication in a shallow-water, time-varying channel , 1996 .

[3]  Yahong Rosa Zheng,et al.  Robust MIMO Underwater Acoustic Communications Using Turbo Block Decision-Feedback Equalization , 2010, IEEE Journal of Oceanic Engineering.

[4]  Georgios B. Giannakis,et al.  Optimal training for block transmissions over doubly selective wireless fading channels , 2003, IEEE Trans. Signal Process..

[5]  A.B. Baggeroer,et al.  The state of the art in underwater acoustic telemetry , 2000, IEEE Journal of Oceanic Engineering.

[6]  Shengli Zhou,et al.  Per-survivor processing for underwater acoustic communications with direct-sequence spread spectrum. , 2013, The Journal of the Acoustical Society of America.

[7]  Saleem A. Kassam,et al.  Channel Equalization Using Adaptive Complex Radial Basis Function Networks , 1995, IEEE J. Sel. Areas Commun..

[8]  Kevin B. Smith,et al.  Underwater acoustic communication channel simulation using parabolic equation , 2011 .

[9]  J. A. Catipovic,et al.  Phase-coherent digital communications for underwater acoustic channels , 1994 .

[10]  Milica Stojanovic,et al.  Underwater acoustic communication channels: Propagation models and statistical characterization , 2009, IEEE Communications Magazine.

[11]  Andrew C. Singer,et al.  Signal processing for underwater acoustic communications , 2009, IEEE Communications Magazine.

[12]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[13]  Shengli Zhou,et al.  Performance Results of Two Iterative Receivers for Distributed MIMO OFDM With Large Doppler Deviations , 2013, IEEE Journal of Oceanic Engineering.

[14]  Georgios B. Giannakis,et al.  Basis expansion models and diversity techniques for blind identification and equalization of time-varying channels , 1998, Proc. IEEE.

[15]  A. Baggeroer,et al.  Communication over Doppler spread channels. Part I: Channel and receiver presentation , 2000, IEEE Journal of Oceanic Engineering.

[16]  Shengli Zhou,et al.  Sparse channel estimation for multicarrier underwater acoustic communication: From subspace methods to compressed sensing , 2009, OCEANS 2009-EUROPE.

[17]  Fred D. Tappert,et al.  The parabolic approximation method , 1977 .

[18]  Lee Freitag,et al.  An OFDM Design for Underwater Acoustic Channels with Doppler Spread , 2009, 2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop.

[19]  Ronald A. Iltis,et al.  Iterative Carrier Frequency Offset and Channel Estimation for Underwater Acoustic OFDM Systems , 2008, IEEE Journal on Selected Areas in Communications.

[20]  M. Stojanovic,et al.  Low Complexity OFDM Detector for Underwater Acoustic Channels , 2006, OCEANS 2006.

[21]  Myung Hoon Sunwoo,et al.  An improved channel estimation scheme using polynomial-fitting and its weighted extension for an MC-CDMA/TDD uplink system with pre-equalization [mobile radio] , 2004, IEEE 60th Vehicular Technology Conference, 2004. VTC2004-Fall. 2004.

[22]  T. Zemen,et al.  Time-variant channel estimation using discrete prolate spheroidal sequences , 2005, IEEE Transactions on Signal Processing.

[23]  M. Stojanovic,et al.  This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination. IEEE JOURNAL OF OCEANIC ENGINEERING 1 Multiple-Resampling Receiver Design for OFDM Over Doppler-Distorted Unde , 2011 .

[24]  Xiaobo Zhou,et al.  Channel estimation for OFDM systems using adaptive radial basis function networks , 2003, IEEE Trans. Veh. Technol..

[25]  B.S. Sharif,et al.  A computationally efficient Doppler compensation system for underwater acoustic communications , 2000, IEEE Journal of Oceanic Engineering.

[26]  L. Freitag,et al.  This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination. IEEE JOURNAL OF OCEANIC ENGINEERING 1 Peer-Reviewed Technical Communication Multicarrier Communication Over Un , 2022 .

[27]  Deva K. Borah,et al.  Frequency-selective fading channel estimation with a polynomial time-varying channel model , 1999, IEEE Trans. Commun..

[28]  Shengli Zhou,et al.  Performance Comparison of Doppler Scale Estimation Methods for Underwater Acoustic OFDM , 2012, J. Electr. Comput. Eng..

[29]  Yahong Rosa Zheng,et al.  Bandwidth-efficient frequency-domain equalization for single carrier multiple-input multiple-output underwater acoustic communications. , 2010, The Journal of the Acoustical Society of America.

[30]  Lei Wan,et al.  Parameterizing both path amplitude and delay variations of underwater acoustic channels for block decoding of orthogonal frequency division multiplexing. , 2012, The Journal of the Acoustical Society of America.