Stochastic-Based Analyses of Noncoherent Code Tracking Loops Over Wireless Fading Circumstances

For band-limited pseudonoise signals, a noncoherent digital delay-lock loop (DDLL) equipped with a discrete automatic gain control algorithm under a RAKE scheme over frequency-selective fading channels is studied. Its associated statistical characteristics are analyzed based on the Nakagami- m stoch...

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Bibliographic Details
Published in:IEEE transactions on vehicular technology 2012-01, Vol.61 (1), p.258-274
Main Authors: WU, Tsan-Ming, TSAI, Tsung-Hua
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Circuits of signal characteristics conditioning (including delay circuits)
Coding, codes
Cramér-Rao lower bound (CRLB)
Delay
digital delay-lock loop (DDLL)
discrete automatic gain control (AGC)
Doppler shift
Electric, optical and optoelectronic circuits
Electrical engineering. Electrical power engineering
Electrical machines
Electronic circuits
Electronics
Exact sciences and technology
Fading
frequency-selective Nakagami- m fading
Gain control
Information, signal and communications theory
mean time to lose lock (MTLL)
Noise
pseudonoise (PN) code tracking
Regulation and control
Signal and communications theory
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Tracking loops
Transmission and modulation (techniques and equipments)
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Summary:For band-limited pseudonoise signals, a noncoherent digital delay-lock loop (DDLL) equipped with a discrete automatic gain control algorithm under a RAKE scheme over frequency-selective fading channels is studied. Its associated statistical characteristics are analyzed based on the Nakagami- m stochastic process. The transition timing error probability density function (pdf) of the Chapman-Kolmogorov equation is evaluated to drive an analytical expression for the steady-state timing error pdf. The mean time to lose lock and the mean square tracking error with its corresponding Cramér-Rao lower bound (CRLB) under frequency-selective Nakagami- m fading environments are scrutinized, whereas their numerical results are confirmed by time-domain computer simulations. Moreover, the tracking performance of the DDLL in the presence of Doppler shifts is also examined.
ISSN:0018-9545
1939-9359
DOI:10.1109/TVT.2011.2175012