Cost-effective quaternion minimum mean square error estimation: From widely linear to four-channel processing
Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Xiang, Min [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017transfer abstract |
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| Umfang: |
11 |
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| Übergeordnetes Werk: |
Enthalten in: Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery - Zhang, Yaoyao ELSEVIER, 2014transfer abstract, a European journal devoted to the methods and applications of signal processing, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:136 ; year:2017 ; pages:81-91 ; extent:11 |
| Links: |
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| DOI / URN: |
10.1016/j.sigpro.2016.10.007 |
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| 520 | |a Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. | ||
| 520 | |a Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. | ||
| 650 | 7 | |a Quaternion filter |2 Elsevier | |
| 650 | 7 | |a Four-channel model |2 Elsevier | |
| 650 | 7 | |a Computational complexity |2 Elsevier | |
| 650 | 7 | |a Widely linear estimation |2 Elsevier | |
| 650 | 7 | |a Mean square error |2 Elsevier | |
| 700 | 1 | |a Cheong Took, Clive |4 oth | |
| 700 | 1 | |a Mandic, Danilo P. |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier |a Zhang, Yaoyao ELSEVIER |t Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery |d 2014transfer abstract |d a European journal devoted to the methods and applications of signal processing |g Amsterdam [u.a.] |w (DE-627)ELV017513162 |
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10.1016/j.sigpro.2016.10.007 doi GBVA2017004000014.pica (DE-627)ELV040302636 (ELSEVIER)S0165-1684(16)30273-0 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Xiang, Min verfasserin aut Cost-effective quaternion minimum mean square error estimation: From widely linear to four-channel processing 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Quaternion filter Elsevier Four-channel model Elsevier Computational complexity Elsevier Widely linear estimation Elsevier Mean square error Elsevier Cheong Took, Clive oth Mandic, Danilo P. oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:81-91 extent:11 https://doi.org/10.1016/j.sigpro.2016.10.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 81-91 11 045F 004 |
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10.1016/j.sigpro.2016.10.007 doi GBVA2017004000014.pica (DE-627)ELV040302636 (ELSEVIER)S0165-1684(16)30273-0 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Xiang, Min verfasserin aut Cost-effective quaternion minimum mean square error estimation: From widely linear to four-channel processing 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Quaternion filter Elsevier Four-channel model Elsevier Computational complexity Elsevier Widely linear estimation Elsevier Mean square error Elsevier Cheong Took, Clive oth Mandic, Danilo P. oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:81-91 extent:11 https://doi.org/10.1016/j.sigpro.2016.10.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 81-91 11 045F 004 |
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10.1016/j.sigpro.2016.10.007 doi GBVA2017004000014.pica (DE-627)ELV040302636 (ELSEVIER)S0165-1684(16)30273-0 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Xiang, Min verfasserin aut Cost-effective quaternion minimum mean square error estimation: From widely linear to four-channel processing 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Quaternion filter Elsevier Four-channel model Elsevier Computational complexity Elsevier Widely linear estimation Elsevier Mean square error Elsevier Cheong Took, Clive oth Mandic, Danilo P. oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:81-91 extent:11 https://doi.org/10.1016/j.sigpro.2016.10.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 81-91 11 045F 004 |
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10.1016/j.sigpro.2016.10.007 doi GBVA2017004000014.pica (DE-627)ELV040302636 (ELSEVIER)S0165-1684(16)30273-0 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Xiang, Min verfasserin aut Cost-effective quaternion minimum mean square error estimation: From widely linear to four-channel processing 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Quaternion filter Elsevier Four-channel model Elsevier Computational complexity Elsevier Widely linear estimation Elsevier Mean square error Elsevier Cheong Took, Clive oth Mandic, Danilo P. oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:81-91 extent:11 https://doi.org/10.1016/j.sigpro.2016.10.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 81-91 11 045F 004 |
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10.1016/j.sigpro.2016.10.007 doi GBVA2017004000014.pica (DE-627)ELV040302636 (ELSEVIER)S0165-1684(16)30273-0 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Xiang, Min verfasserin aut Cost-effective quaternion minimum mean square error estimation: From widely linear to four-channel processing 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. Quaternion filter Elsevier Four-channel model Elsevier Computational complexity Elsevier Widely linear estimation Elsevier Mean square error Elsevier Cheong Took, Clive oth Mandic, Danilo P. oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:81-91 extent:11 https://doi.org/10.1016/j.sigpro.2016.10.007 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 81-91 11 045F 004 |
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Enthalten in Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery Amsterdam [u.a.] volume:136 year:2017 pages:81-91 extent:11 |
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Enthalten in Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery Amsterdam [u.a.] volume:136 year:2017 pages:81-91 extent:11 |
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Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery |
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cost-effective quaternion minimum mean square error estimation: from widely linear to four-channel processing |
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Cost-effective quaternion minimum mean square error estimation: From widely linear to four-channel processing |
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Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. |
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Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. |
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Widely linear estimation plays an important role in quaternion signal processing, as it caters for both proper and improper quaternion signals. However, widely linear algorithms are computationally expensive owing to the use of augmented variables and statistics. To reduce the computation cost while maintaining the performance level, we propose a four-channel estimation framework as an efficient alternative to quaternion widely linear estimation. This is achieved by using four linear models to estimate the four components of quaternion signals. We also show that any of the four channels is able to replace a strictly linear quaternion estimator when estimating strictly linear systems. The proposed method is shown to reduce computational complexity and provide more flexible algorithms, while preserving the physical meaning inherent in the quaternion domain. The proposed framework is next applied to quaternion minimum mean square error estimation to yield the reduced-complexity versions of the quaternion least mean square (QLMS), quaternion recursive least squares (QRLS), and quaternion nonlinear gradient decent (QNGD) algorithms. For the proposed QLMS algorithm, an adaptive step-size strategy is also explored. The effectiveness of the so introduced estimation techniques is validated by simulations on synthetic and real-world signals. |
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