Orthonormalization

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Rongguang Liang - One of the best experts on this subject based on the ideXlab platform.

Yu Zhang - One of the best experts on this subject based on the ideXlab platform.

Xiaobo Tian - One of the best experts on this subject based on the ideXlab platform.

J M Carazo - One of the best experts on this subject based on the ideXlab platform.

  • two step demodulation based on the gram schmidt Orthonormalization method
    Optics Letters, 2012
    Co-Authors: Javier Vargas, Antonio J Quiroga, C O S Sorzano, J C Estrada, J M Carazo
    Abstract:

    This Letter presents an efficient, fast, and straightforward two-step demodulating method based on a Gram-Schmidt (GS) Orthonormalization approach. The phase-shift value has not to be known and can take any value inside the range (0,2π), excluding the singular case, where it corresponds to π. The proposed method is based on determining an orthonormalized interferogram basis from the two supplied interferograms using the GS method. We have applied the proposed method to simulated and experimental interferograms, obtaining satisfactory results. A complete MATLAB software package is provided at http://goo.gl/IZKF3.

  • Two-step demodulation based on the Gram–Schmidt Orthonormalization method
    2011
    Co-Authors: Javier Vargas, Antonio J Quiroga, C O S Sorzano, J C Estrada, J M Carazo
    Abstract:

    This Letter presents an efficient, fast, and straightforward two-step demodulating method based on a Gram–Schmidt (GS) Orthonormalization approach. The phase-shift value has not to be known and can take any value inside the range 0; 2π, excluding the singular case, where it corresponds to π. The proposed method is based on determining an orthonormalized interferogram basis from the two supplied interferograms using the GS method. We have applied the proposed method to simulated and experimental interferograms, obtaining satisfactory results. A complet

G L Stuber - One of the best experts on this subject based on the ideXlab platform.

  • frequency domain equalization for continuous phase modulation
    IEEE Transactions on Wireless Communications, 2005
    Co-Authors: Jun Tan, G L Stuber
    Abstract:

    Single-carrier frequency-domain equalization (SC-FDE) is proposed for continuous phase modulation (CPM). Two different discrete representations of the CPM signal are obtained. One is an orthogonal representation obtained from the Gram-Schmidt Orthonormalization procedure, and the other is obtained from Laurent's decomposition for binary CPM. The methodology for maintaining phase continuity with a cyclic guard interval is presented. Various optimal and suboptimal reduced-complexity approaches are suggested for SC-FDE of CPM signals. General full- and partial-response CPM waveforms, and specific examples of minimum-shift keying (MSK) and Gaussian MSK (GMSK) with BT=0.3 are investigated. Simulation results show that SC-FDE for CPM is an effective approach for CPM on channels having long impulse responses.

  • frequency domain equalization for continuous phase modulation
    Personal Indoor and Mobile Radio Communications, 2004
    Co-Authors: Jun Tan, G L Stuber
    Abstract:

    Frequency-domain equalization for continuous phase modulation (CPM) is investigated. A discrete representation of the CPM signal is obtained by using the Gram-Schmidt Orthonormalization procedure. The CPM discrete signal representation admits frequency-domain equalization for the purpose of mitigating intersymbol interference. General full- and partial-response CPM waveforms, and specific examples of MSK and GMSK with BT=0.3 are considered. Frequency-domain equalization is shown to be effective for CPM on severe frequency-selective fading channels.