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Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering.

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Τίτλος: Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering.
Συγγραφείς: Took, Clive Cheong, Mandic, Danilo P.
Πηγή: IEEE Transactions on Signal Processing; Jul2010, Vol. 58 Issue 7, p3895-3901, 7p
Θεματικοί όροι: Quaternion functions, Quaternions, Algorithms, Impulse response, Signal processing
Περίληψη: A learning algorithm for the training of quaternion valued adaptive infinite impulse (IIR) filters is introduced. This is achieved by taking into account specific properties of stochastic gradient approximation in the quaternion domain and the recursive nature of the sensitivities within the IIR filter updates, to give the quaternion-valued stochastic gradient algorithm for adaptive IIR filtering (QSG-IIR). Further, to reduce computational complexity, a variant of the QSG-IIR is introduced, which for small stepsizes makes better use of the available information. Stability analysis and simulations on both synthetic and real world 4D data support the approach. [ABSTRACT FROM AUTHOR]
Copyright of IEEE Transactions on Signal Processing is the property of IEEE 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.)
Βάση Δεδομένων: Complementary Index
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  Data: Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering.
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  Data: <searchLink fieldCode="AR" term="%22Took%2C+Clive+Cheong%22">Took, Clive Cheong</searchLink><br /><searchLink fieldCode="AR" term="%22Mandic%2C+Danilo+P%2E%22">Mandic, Danilo P.</searchLink>
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  Data: IEEE Transactions on Signal Processing; Jul2010, Vol. 58 Issue 7, p3895-3901, 7p
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  Data: <searchLink fieldCode="DE" term="%22Quaternion+functions%22">Quaternion functions</searchLink><br /><searchLink fieldCode="DE" term="%22Quaternions%22">Quaternions</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Impulse+response%22">Impulse response</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+processing%22">Signal processing</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: A learning algorithm for the training of quaternion valued adaptive infinite impulse (IIR) filters is introduced. This is achieved by taking into account specific properties of stochastic gradient approximation in the quaternion domain and the recursive nature of the sensitivities within the IIR filter updates, to give the quaternion-valued stochastic gradient algorithm for adaptive IIR filtering (QSG-IIR). Further, to reduce computational complexity, a variant of the QSG-IIR is introduced, which for small stepsizes makes better use of the available information. Stability analysis and simulations on both synthetic and real world 4D data support the approach. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of IEEE Transactions on Signal Processing is the property of IEEE 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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        Value: 10.1109/TSP.2010.2047719
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      – Code: eng
        Text: English
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      – SubjectFull: Algorithms
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      – SubjectFull: Impulse response
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      – SubjectFull: Signal processing
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      – TitleFull: Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering.
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              Text: Jul2010
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              Y: 2010
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