DocumentCode :
820406
Title :
Linear minimum variance filters applied to carrier tracking
Author :
Gustafson, Donald E. ; Speyer, Jason L.
Author_Institution :
Charles Stark Draper Laboratory, Cambridge, MA, USA
Volume :
21
Issue :
1
fYear :
1976
fDate :
2/1/1976 12:00:00 AM
Firstpage :
65
Lastpage :
73
Abstract :
A new approach is taken to the problem of tracking a fixed amplitude signal with a Brownian motion phase process. Classically, a first-order phase-lock loop (PLL) is used; here, the problem is treated via estimation of the quadrature signal components. In this space, the state dynamics are linear with white multiplicative noise. Therefore, linear, minimum-variance filters, which have a particularly simple mechanization, are suggested. The resulting error dynamics are linear at any signal/noise ( S/N ) ratio unlike the classical PLL. During synchronization, and above threshold, this filter with constant gains degrades by 3 percent in output rms phase error with respect to the classical loop. However, up to 80 percent of the maximum possible noise improvement is obtained below threshold where the classical loop is nonoptimum, as demonstrated by a Monte Carlo analysis. Filter mechanizations are presented for beth carrier and baseband operation. An interesting bandpass filter interpretation is given.
Keywords :
Linear systems, time-varying continuous-time; PLLs; Phase-locked loop (PLL); State estimation; Tracking loops; Band pass filters; Degradation; Monte Carlo methods; Nonlinear filters; Phase estimation; Phase locked loops; Signal processing; Signal to noise ratio; Tracking; White noise;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1976.1101130
Filename :
1101130
Link To Document :
بازگشت