Performance analysis of a complex multicode tracking loop in bandlimited rayleigh fading channels

Nicolas Y.H. Hsu, Yu-Ted Su*, Yuan Bin Lin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)553-570
Number of pages18
JournalWireless Personal Communications
Issue number4
StatePublished - 1 Aug 2011


  • Bandlimited fading
  • Code tracking
  • Complex multicode spreading

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