Title
The state-variable approach to analog communication theory
Abstract
A new approach is presented for estimating stochastic signals. The approach is based on the use of Markov processes and state-variable concepts. Equations are presented for approximate minimum mean-square error estimates of a Markovian state vector observed in a signal in which it is imbedded nonlinearly. A general model for analog communication via randomly time-varying channels is given and related to the state-vector estimation problem. The model includes as special cases such linear and nonlinear modulation schemes as AM, PM, FM, and PM_{n}/PM; and such continuous channels as Rayleigh and Rician channels, fixed channels with memory, and diversity channels. The state-variable approach leads automatically to physically realizable demodulators whose outputs are approximate MMSE estimates of the stochastic message and, if desired, the channel disturbances. Special consideration is given to angle modulation schemes.
Year
DOI
Venue
1968
10.1109/TIT.1968.1054093
Information Theory, IEEE Transactions  
Keywords
Field
DocType
Markov processes,Signal estimation,State estimation,Time-varying channels
Information theory,Discrete mathematics,Demodulation,Topology,State vector,Angle modulation,Markov process,Control theory,Computer science,Stochastic process,State variable,Analog signal
Journal
Volume
Issue
ISSN
14
1
0018-9448
Citations 
PageRank 
References 
11
27.99
4
Authors
1
Name
Order
Citations
PageRank
Snyder, Donald L.1363175.26