Fast estimation of sparse doubly spread acoustic channels.

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Název: Fast estimation of sparse doubly spread acoustic channels.
Autoři: Zeng, Wen-Jun, Xu, Wen
Zdroj: Journal of the Acoustical Society of America; Jan2012, Vol. 131 Issue 1, p303-317, 15p
Témata: SPARSE matrices, SOUND, DOPPLER effect, DATA structures, ALGORITHMS
Abstrakt: The estimation of doubly spread underwater acoustic channels is addressed. By exploiting the sparsity in the delay-Doppler domain, this paper proposes a fast projected gradient method (FPGM) that can handle complex-valued data for estimating the delay-Doppler spread function of a time-varying channel. The proposed FPGM formulates the sparse channel estimation as a complex-valued convex optimization using an ℓ1-norm constraint. Conventional approaches to complex-valued optimization split the complex variables into their real and imaginary parts; this doubles the dimension compared with the original problem and may break the special data structure. Unlike the conventional methods, the proposed method directly handles the complex variables as a whole without splitting them into real numbers; hence the dimension will not increase. By exploiting the block Toeplitz-like structure of the coefficient matrix, the computational complexity of the FPGM is reduced to O(LNlogN), where L is the dimension of the Doppler shift and N is the signal length. Simulation results verify the accuracy and efficiency of the FPGM, indicating that is robust to parameter selection and is orders-of-magnitude faster than standard convex optimization algorithms. The Kauai experimental data processing results are also provided to demonstrate the performance of the proposed algorithm. [ABSTRACT FROM AUTHOR]
Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Fast estimation of sparse doubly spread acoustic channels.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Zeng%2C+Wen-Jun%22">Zeng, Wen-Jun</searchLink><br /><searchLink fieldCode="AR" term="%22Xu%2C+Wen%22">Xu, Wen</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: Journal of the Acoustical Society of America; Jan2012, Vol. 131 Issue 1, p303-317, 15p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22SPARSE+matrices%22">SPARSE matrices</searchLink><br /><searchLink fieldCode="DE" term="%22SOUND%22">SOUND</searchLink><br /><searchLink fieldCode="DE" term="%22DOPPLER+effect%22">DOPPLER effect</searchLink><br /><searchLink fieldCode="DE" term="%22DATA+structures%22">DATA structures</searchLink><br /><searchLink fieldCode="DE" term="%22ALGORITHMS%22">ALGORITHMS</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The estimation of doubly spread underwater acoustic channels is addressed. By exploiting the sparsity in the delay-Doppler domain, this paper proposes a fast projected gradient method (FPGM) that can handle complex-valued data for estimating the delay-Doppler spread function of a time-varying channel. The proposed FPGM formulates the sparse channel estimation as a complex-valued convex optimization using an ℓ<subscript>1</subscript>-norm constraint. Conventional approaches to complex-valued optimization split the complex variables into their real and imaginary parts; this doubles the dimension compared with the original problem and may break the special data structure. Unlike the conventional methods, the proposed method directly handles the complex variables as a whole without splitting them into real numbers; hence the dimension will not increase. By exploiting the block Toeplitz-like structure of the coefficient matrix, the computational complexity of the FPGM is reduced to O(LNlogN), where L is the dimension of the Doppler shift and N is the signal length. Simulation results verify the accuracy and efficiency of the FPGM, indicating that is robust to parameter selection and is orders-of-magnitude faster than standard convex optimization algorithms. The Kauai experimental data processing results are also provided to demonstrate the performance of the proposed algorithm. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1121/1.3665992
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 15
        StartPage: 303
    Subjects:
      – SubjectFull: SPARSE matrices
        Type: general
      – SubjectFull: SOUND
        Type: general
      – SubjectFull: DOPPLER effect
        Type: general
      – SubjectFull: DATA structures
        Type: general
      – SubjectFull: ALGORITHMS
        Type: general
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      – TitleFull: Fast estimation of sparse doubly spread acoustic channels.
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            NameFull: Zeng, Wen-Jun
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            NameFull: Xu, Wen
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            – D: 01
              M: 01
              Text: Jan2012
              Type: published
              Y: 2012
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              Value: 131
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