Diffusion approximations for the analysis of digital phase locked loops
Abstract
Recent results for getting diffusion limits of a sequence of suitably scaled stochastic processes are applied to the synchronization problem for a digital phase locked loop (DPLL). For small filter gains and symbol intervals a diffusion (Gauss-Markov) process approximation is rigorously obtained. This approximation yields approximate error variances, passage time distributions, and correlation properties (among other properties) for the DPLL. The problem of tracking a drifting clock is also treated.
- Publication:
-
IEEE Transactions on Information Theory
- Pub Date:
- March 1982
- Bibcode:
- 1982ITIT...28..384K
- Keywords:
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- Approximation;
- Diffusion Theory;
- Digital Systems;
- Network Analysis;
- Phase Locked Systems;
- Stochastic Processes;
- Convergence;
- Data Sampling;
- Limits (Mathematics);
- Scaling;
- Variance (Statistics);
- Wiener Filtering;
- Electronics and Electrical Engineering