Duality Property

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Tohru Kohda - One of the best experts on this subject based on the ideXlab platform.

  • SETA - Chip-asynchronous version of welch bound: gaussian pulse improves BER performance
    Sequences and Their Applications – SETA 2006, 2006
    Co-Authors: Yutaka Jitsumatsu, Tohru Kohda
    Abstract:

    We give a quadratic form expression of the mean squared multiple-access interference (MAI) averaged over relative time delays for chip-asynchronous DS/CDMA systems. A lower bound on the mean squared MAI is referred to as chip-asynchronous version of Welch bound, which depends on chip pulse shapes. Real analysis tells us that a pair of rectangular and sinc functions is one of Fourier transform and its inverse Fourier transform and vice versa. On the other hand, Gaussian pulses have the self-Duality Property. Gaussian chip pulses sacrifice inter-symbol interference, however, they give smaller mean squared MAI, as well as lower bit error rate, than the conventional Nyquist pulses.

  • chip asynchronous version of welch bound gaussian pulse improves ber performance
    Lecture Notes in Computer Science, 2006
    Co-Authors: Yutaka Jitsumatsu, Tohru Kohda
    Abstract:

    We give a quadratic form expression of the mean squared multiple-access interference (MAI) averaged over relative time delays for chip-asynchronous DS/CDMA systems. A lower bound on the mean squared MAI is referred to as chip-asynchronous version of Welch bound, which depends on chip pulse shapes. Real analysis tells us that a pair of rectangular and sinc functions is one of Fourier transform and its inverse Fourier transform and vice versa. On the other hand, Gaussian pulses have the self-Duality Property. Gaussian chip pulses sacrifice inter-symbol interference, however, they give smaller mean squared MAI, as well as lower bit error rate, than the conventional Nyquist pulses.

Chien Chern Cheah - One of the best experts on this subject based on the ideXlab platform.

  • task space sensory feedback control of robot manipulators
    2015
    Co-Authors: Chien Chern Cheah
    Abstract:

    Introduction.- Task-Space Setpoint Control.- Unified Analysis and Duality Property of Task-space Setpoint Control.- Task-Space Tracking Control.- Advanced Motion Control.- Region Control.- Regional Feedback Control of Robot.

  • Task-space PD Control of Robot Manipulators: Unified Analysis and Duality Property
    The International Journal of Robotics Research, 2008
    Co-Authors: Chien Chern Cheah
    Abstract:

    Task-space regulation of robots is classified into two basic approaches, namely transpose Jacobian regulation and inverse Jacobian regulation. This paper shows that, despite the distinct differences between inverse Jacobian and transpose Jacobian regulation problems, there is a unified approach for the analysis and design of the transpose Jacobian and inverse Jacobian PD controllers for non-redundant robots. Based on the unified analysis, we show that there is a fundamental Property in the task-space regulation problem, namely the Duality Property. The results on the Duality Property show that the transpose Jacobian matrix can be replaced by the inverse Jacobian matrix and vice versa. The two basic transformations, the transpose Jacobian and the inverse Jacobian, are said to be dual. The task-space PD controllers are implemented on an industrial robot and experiment results are presented.

Yutaka Jitsumatsu - One of the best experts on this subject based on the ideXlab platform.

  • SETA - Chip-asynchronous version of welch bound: gaussian pulse improves BER performance
    Sequences and Their Applications – SETA 2006, 2006
    Co-Authors: Yutaka Jitsumatsu, Tohru Kohda
    Abstract:

    We give a quadratic form expression of the mean squared multiple-access interference (MAI) averaged over relative time delays for chip-asynchronous DS/CDMA systems. A lower bound on the mean squared MAI is referred to as chip-asynchronous version of Welch bound, which depends on chip pulse shapes. Real analysis tells us that a pair of rectangular and sinc functions is one of Fourier transform and its inverse Fourier transform and vice versa. On the other hand, Gaussian pulses have the self-Duality Property. Gaussian chip pulses sacrifice inter-symbol interference, however, they give smaller mean squared MAI, as well as lower bit error rate, than the conventional Nyquist pulses.

  • chip asynchronous version of welch bound gaussian pulse improves ber performance
    Lecture Notes in Computer Science, 2006
    Co-Authors: Yutaka Jitsumatsu, Tohru Kohda
    Abstract:

    We give a quadratic form expression of the mean squared multiple-access interference (MAI) averaged over relative time delays for chip-asynchronous DS/CDMA systems. A lower bound on the mean squared MAI is referred to as chip-asynchronous version of Welch bound, which depends on chip pulse shapes. Real analysis tells us that a pair of rectangular and sinc functions is one of Fourier transform and its inverse Fourier transform and vice versa. On the other hand, Gaussian pulses have the self-Duality Property. Gaussian chip pulses sacrifice inter-symbol interference, however, they give smaller mean squared MAI, as well as lower bit error rate, than the conventional Nyquist pulses.

Lydia Außenhofer - One of the best experts on this subject based on the ideXlab platform.

Mawardi Bahri - One of the best experts on this subject based on the ideXlab platform.

  • Duality Property of Discrete Quaternion Fourier Transform
    Jurnal Matematika Statistika dan Komputasi, 2020
    Co-Authors: Yudhiyanto Supriadi, Mawardi Bahri, Amir Kamal Amir
    Abstract:

    We introduce the discrete quaternionic Fourier transform (QDFT), which is generalization of discrete Fourier transform. We establish the version discrete of Duality Property Duality related to the QDFT.

  • Duality Property of Two-Sided Quaternion Fourier Transform
    2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR), 2018
    Co-Authors: Mawardi Bahri, Ryuichi Ashino
    Abstract:

    An alternative proof of scalar Parseval's formula with respect to the two-sided quaternion Fourier transform is presented. It is shown that the inverse of the two-sided quaternion Fourier transform is continuous and bounded on R 2. The Duality Property of the two-sided quaternion Fourier transform is established. The alternative form of the Hausdorff-Young inequality associated with the two-sided quaternion Fourier transform is expressed. AMS Subject Classification: 11R52, 42A38, 15A66