吉林大学学报(工学版)

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Cubic nonlinear phase coupling analyse of twodimensional
harmonic based on quaternion

Chen Qiao-xia1, Wang Shu-xun1, Wang Fei2   

  1. 1.College of Communication Engineering, Jilin University, Changchun 130022, China； 2.College of Information Science & Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2006-08-26 Revised:1900-01-01 Online:2007-09-01 Published:2007-09-01
  • Contact: Wang Shu-xun

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Abstract: The frequency pairing of the twodimensional (2D) cubic nonlinear phase coupling was studied. A 2D harmonic model based on the quaternion was constructed, and a special fourorder cumulant was defined. The 2D cubic nonlinear phase coupling of additive color Gaussian noises was analyzed. Meanwhile, the corresponding estimation arithmetic of the coupling and coupled frequency pairs in quaternion domain was improved, that avoids the possible false frequency pairing and imbalance of 2D frequency estimation precision during the process of frequency pairing by complex model. Simulation results validate the effectiveness of the proposed model.

Key words: information processing, quaternion , two-dimensional (2D) harmonic, cubic nonlinear phase coupling, fourorder cumulant

CLC Number: 

  • TN911.72
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