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Performance Analysis of a Complex Multicode Tracking Loop in Bandlimited Rayleigh Fading Channels

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Abstract

This paper presents the root-mean-squared tracking error performance analysis of a class of coherent digital delay-locked loops for multicode direct sequence spread spectrum signals in bandlimited correlated Rayleigh fading channels. In the transmit side, multiple independent PSK-modulated data streams in the in-phase and qudrature phase branches are spread by short mutually orthogonal codes before being further complex spread by a long complex PN code. We assume that the system employs a pilot code channel to assist the receiver’s synchronization and channel estimation. The proposed code tracking loop incorporates the pilot-aided channel estimator and derives the timing error from all short-code-spread subchannels. Our analysis takes into account the effects of imperfect channel estimate, correlated frequency selective Rayleigh fading and band-limiting. Numerical results are presented to quantify the impact of the resulting multipath interference within the same code channel and amongst different code channels.

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Authors and Affiliations

  1. Communication Platform R&D Department, ASUSTek Computer Inc., Taipei, Taiwan

    Nicolas Y.-H. Hsu

  2. Department of Communications Engineering, National Chiao Tung University, Hsinchu, Taiwan

    Yu T. Su & Yuan-Bin Lin

Authors
  1. Nicolas Y.-H. Hsu
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  2. Yu T. Su
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  3. Yuan-Bin Lin
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Corresponding author

Correspondence to Yu T. Su.

Additional information

This work was supported in part by National Science Council of Taiwan under Grant NSC-93-2218-E-009-015.

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Hsu, N.YH., Su, Y.T. & Lin, YB. Performance Analysis of a Complex Multicode Tracking Loop in Bandlimited Rayleigh Fading Channels. Wireless Pers Commun 59, 553–570 (2011). https://doi.org/10.1007/s11277-010-9924-8

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  • DOI: https://doi.org/10.1007/s11277-010-9924-8

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