Control theoretic approach to tracking radar: First step towards cognition

In Haykin (2006) [8], the idea of Cognitive Radar was described for the first time. Four essential points were emphasized in that seminal paper: Bayesian filtering in the receiver, dynamic programming in the transmitter, memory, and global feedback to facilitate computational intelligence. This paper provides a first step towards designing a cognitive radar for tracking applications by presenting a fore-active tracking radar; a radar that utilizes its previous measurements and actions to optimize its transmitted waveform (Haykin, 2011 [11]). In our design, the emphasis is being placed on the cubature Kalman filter to approximate the Bayesian filter in the receiver, approximate dynamic programming for transmit-waveform selection in the transmitter, and global feedback embodying the transmitter, the radar environment, and the receiver all under one overall feedback loop. Simulation results, based on the tracking of an object falling in space, are presented, which substantiate practical validity of the superior performance of a fore-active tracking radar over a traditional active radar with fixed waveform.

[1]  Klaus Krickeberg,et al.  Probability and information theory II , 1969 .

[2]  J. Fuster Cortex and Mind , 2002 .

[3]  R. Bellman Dynamic programming. , 1957, Science.

[4]  S. Haykin,et al.  Cognitive radar: a way of the future , 2006, IEEE Signal Processing Magazine.

[5]  Philip M. Woodward,et al.  Probability and Information Theory with Applications to Radar , 1954 .

[6]  S. Haykin,et al.  Cubature Kalman Filters , 2009, IEEE Transactions on Automatic Control.

[7]  Robin J. Evans,et al.  Optimal waveform selection for tracking systems , 1994, IEEE Trans. Inf. Theory.

[8]  R.J. Evans,et al.  Waveform selective probabilistic data association , 1997, IEEE Transactions on Aerospace and Electronic Systems.

[9]  R. Wishner,et al.  Suboptimal state estimation for continuous-time nonlinear systems from discrete noisy measurements , 1968 .

[10]  P. K. Chaturvedi,et al.  Communication Systems , 2002, IFIP — The International Federation for Information Processing.

[11]  Y. Ho,et al.  A Bayesian approach to problems in stochastic estimation and control , 1964 .

[12]  Amin Zia,et al.  Cognitive tracking radar , 2010, 2010 IEEE Radar Conference.

[13]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory, Part I , 1968 .

[14]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Two Volume Set , 1995 .

[15]  Simon Haykin,et al.  Cognitive Dynamic Systems , 2006, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[16]  Ronald Cools,et al.  Constructing cubature formulae: the science behind the art , 1997, Acta Numerica.

[17]  M. Melamed Detection , 2021, SETI: Astronomy as a Contact Sport.