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Fast estimation of sparse doubly spread acoustic channels
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10.1121/1.3665992
/content/asa/journal/jasa/131/1/10.1121/1.3665992
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/1/10.1121/1.3665992

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Auto-ambiguity function (AAF) of the 7 bit m-sequence. (a) The image plot of the AAF; (b) the Doppler profile; (c) the delay profile.

Image of FIG. 2.
FIG. 2.

(Color online) Delay-Doppler spread function estimations. (a) Image plot of estimate of channel I using the cross-ambiguity function (CAF); (b) contour plot of estimate of channel I using the FPGM; (c) image plot of estimate of channel II using the CAF; (d) contour plot of estimate of channel II using the FPGM.

Image of FIG. 3.
FIG. 3.

Mesh plots of the delay-Doppler spread function estimations. (a) The CAF method; (b) the proposed FPGM with ɛ = 5; (c) FPGM with ɛ = 20; (d) FPGM with ɛ = 50.

Image of FIG. 4.
FIG. 4.

The convergence rates of the FPGM and the Daubechies’ method.

Image of FIG. 5.
FIG. 5.

Scatter plots of the outputs of the linear MMSE equalizer at SNR = 12 dB using different channel estimates. (a) True channel information; (b) FPGM; (c) OMP; (d) MP.

Image of FIG. 6.
FIG. 6.

Symbol error rates (SER) versus SNR of the linear MMSE equalizer using the true channel state information and three different channel estimation schemes.

Image of FIG. 7.
FIG. 7.

Acoustic ray paths of an underwater multipath channel.

Image of FIG. 8.
FIG. 8.

(Color online) True impulse response of the underwater multipath channel obtained by the geometric structure of the transmitter and receiver. (a) The 2-D time-varying response h(τ, t) in the time interval t [0,2] s; (b) the channel response at t = 2 s. The paths are labeled as D (direct arrival), B (bottom scattered arrival), S (surface scattered arrival), BS (bottom then surface), SB (surface then bottom), BSB (bottom-surface-bottom), SBS, BSBS, SBSB, and BSBSB.

Image of FIG. 9.
FIG. 9.

(Color online) Delay-Doppler spread function estimates of the doubly spread underwater channel. (a) Conventional CAF method; (b) the proposed FPGM with ɛ = 5; (c) FPGM with ɛ = 10; (d) the OMP algorithm.

Image of FIG. 10.
FIG. 10.

(Color online) Delay-Doppler spread function estimates of Kauai experimen tal data by the CAF and FPGM with different signal length.

Tables

Generic image for table

Complex-valued projected gradient method.

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TABLE I.

Time delays (ms) and Doppler shifts (Hz) of channel I and II.

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TABLE II.

Multipath time delays, Doppler shifts, and amplitudes of the simulated channel.

Generic image for table
TABLE III.

Running times (in seconds) of the proposed FPGM and CVX.

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/content/asa/journal/jasa/131/1/10.1121/1.3665992
2012-01-13
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Fast estimation of sparse doubly spread acoustic channels
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/1/10.1121/1.3665992
10.1121/1.3665992
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