Threat Estimation by Electronic Surveillance of Multifunction Radars: A Stochastic Context Free Grammar Approach

Multi-function radars (MFRs) are sophisticated sensors that are widely used in military systems. It is shown that the stochastic context free grammar (SCFG) efficiently captures the essential features of the MFR dynamics compared to more traditional finite Markov models (regular grammars). The dynamics of the MFR are formulated as a mixture of two SCFGs - the mixture parameter determining the threat level. We then present a maximum likelihood threat estimation algorithm by capturing the noisy radar signals represented as strings from the MFR language. The relative simplicity of the SCFG model facilitates development of a systematic design procedure for electronic warfare (EW) surveillance algorithms

[1]  Noam Chomsky,et al.  Three models for the description of language , 1956, IRE Trans. Inf. Theory.

[2]  Christos G. Cassandras,et al.  Introduction to Discrete Event Systems , 1999, The Kluwer International Series on Discrete Event Dynamic Systems.

[3]  Noam Chomsky,et al.  On Certain Formal Properties of Grammars , 1959, Inf. Control..

[4]  M. W. Shields An Introduction to Automata Theory , 1988 .

[5]  Jeffrey D. Ullman,et al.  Introduction to Automata Theory, Languages and Computation , 1979 .

[6]  Noam Chomsky,et al.  A Note on Phrase Structure Grammars , 1959, Inf. Control..

[7]  New York Dover,et al.  ON THE CONVERGENCE PROPERTIES OF THE EM ALGORITHM , 1983 .

[8]  Lawrence R. Rabiner,et al.  A tutorial on hidden Markov models and selected applications in speech recognition , 1989, Proc. IEEE.

[9]  Sean R. Eddy,et al.  Biological Sequence Analysis: Probabilistic Models of Proteins and Nucleic Acids , 1998 .

[10]  D. Curtis Schleher,et al.  Electronic Warfare in the Information Age , 1999 .

[11]  S. Haykin,et al.  Non-self-embedding context-free grammars for multi-function radar modeling - electronic warfare application , 2005, IEEE International Radar Conference, 2005..

[12]  D. C. Cooper,et al.  Electronic Intelligence: the Analysis of Radar Signals , 1984 .

[13]  M. Skolnik,et al.  Introduction to Radar Systems , 2021, Advances in Adaptive Radar Detection and Range Estimation.

[14]  Steve Young,et al.  Applications of stochastic context-free grammars using the Inside-Outside algorithm , 1990 .

[15]  Alaa A. Kharbouch,et al.  Three models for the description of language , 1956, IRE Trans. Inf. Theory.

[16]  Nikita A. Visnevski Syntactic modeling of multi-function radars , 2005 .

[17]  J. Baker Trainable grammars for speech recognition , 1979 .

[18]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .