Title :
Multilevel Quantized DPLL Behavior with Phase- and Frequency-Step Plus Noise Input
Author :
D´Andrea, Nunzio Aldo ; Russo, Franco
Author_Institution :
Centro Studi per i Metodi ed i Dispositivi di Radiotrasmissione del C. N. R.
fDate :
8/1/1980 12:00:00 AM
Abstract :
A first-order nonuniform multilevel quantized DPLL is analyzed in the presence of a phase- and frequency-step signal plus Gaussian noise. The system is modeled as a homogeneous finite Markov chain. In this way, closed-form expressions are obtained for the steady-state probabilities, the mean and rms values of the phase error, and the mean number of samplings to slip a cycle or to reach acquisition. Numerical results are also presented.
Keywords :
Markov processes; PLLs; Phase-locked loop (PLL); Bandwidth; Closed-form solution; Frequency; Gaussian noise; Helium; Phase noise; Quantization; Sampling methods; Signal analysis; Steady-state;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOM.1980.1094773