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Performance analysis of digital delay lock loops in the presence of Doppler shift

by: Szu-Lin Su, Nan-Yang Yen, Sheng-Cheng Hsieh
Communications, 1995. ICC '95 Seattle, 'Gateway to Globalization', 1995 IEEE International Conference on, Vol. 3 (1995), pp. 1896-1900 vol.3.


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The delay lock loop is a well-developed technique to track the pseudo-noise codes for spread-spectrum systems. In previous papers the first-order loop was analyzed in the absence of Doppler shift. However, under severe Doppler environment, such as low-earth-orbit (LEO) satellite communication, the tracking of PN code will be difficult for the first-order loop. This paper considers discrete time analyses of first- and second-order digital delay lock loops (DDLL), and presents the results of an investigation concerning the performance degradation due to Doppler. The performance measures evaluated include the steady-state timing error probability density function (pdf) and the mean time to lose lock. The measures are characterized in terms of the Doppler shift and the loop signal-to-noise ratio. Moreover, approximate expressions for the steady-state timing error probability density and the mean time to lose lock are also presented for the first- and second-order digital delay lock loops. The analyses are confirmed by numerical results and simulation


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