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Linear minimum variance filters applied to carrier trackingA 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 ratio, unlike the classical PLL. During synchronization, and above threshold, this filter with constant gains degrades by 3 per cent in output rms phase error with respect to the classical loop. However, up to 80 per cent 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 both carrier and baseband operation.
Document ID
19760040316
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Gustafson, D. E.
(Draper (Charles Stark) Lab., Inc. Cambridge, MA, United States)
Speyer, J. L.
(Charles Stark Draper Laboratory, Inc. Cambridge, Mass., United States)
Date Acquired
August 8, 2013
Publication Date
February 1, 1976
Publication Information
Publication: IEEE Transactions on Automatic Control
Volume: AC-21
Subject Category
Cybernetics
Accession Number
76A23282
Funding Number(s)
CONTRACT_GRANT: NAS9-4065
Distribution Limits
Public
Copyright
Other

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