Dynamic Configuration of Time-Varying Waveforms for Agile Sensing and Tracking in Clutter

The advent of waveform-agile sensors has enabled the design of tracking systems where the transmitted waveform is changed on-the-fly in response to the tracker's requirements. This approach can provide performance improvements over individual optimization of the sensor waveform or the tracking algorithm. In this paper, we consider joint sensor configuration and tracking for the problem of tracking a single target in the presence of clutter using range and range-rate measurements obtained by waveform-agile, active sensors in a narrowband environment. We propose an algorithm to select and configure linear and nonlinear frequency-modulated waveforms to minimize the predicted mean square error (MSE) in the target state estimate; the MSE is predicted using the Cramer-Rao lower bound on the measurement error in conjunction with the unscented transform. We further extend our algorithm to match wideband environments, and we demonstrate the algorithm performance through a Monte Carlo simulation of a radar tracking example.

[1]  Charles E. Cook,et al.  Radar Signals: An Introduction to Theory and Application , 1967 .

[2]  R.J. Evans,et al.  Optimization of waveform and detection threshold for range and range-rate tracking in clutter , 2005, IEEE Transactions on Aerospace and Electronic Systems.

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

[4]  Peter Willett,et al.  Tracking considerations in selection of radar waveform for range and range-rate measurements , 2002 .

[5]  R. Altes,et al.  Bat Signals as Optimally Doppler Tolerant Waveforms , 1970 .

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

[7]  D. J. Kershaw,et al.  A contribution to performance prediction for probabilistic data association tracking filters , 1996, IEEE Transactions on Aerospace and Electronic Systems.

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

[9]  A. Papandreou-Suppappola,et al.  Waveform design and scheduling for agile sensors for target tracking , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

[10]  S. D. Howard,et al.  Waveform libraries for radar tracking applications , 2004, 2004 International Waveform Diversity & Design Conference.

[11]  Darryl Morrell,et al.  Waveform Scheduling in Wideband Environments , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[12]  B. Anderson,et al.  Optimal Filtering , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[13]  D. W. Ricker Echo Signal Processing , 2003 .

[14]  H. V. Trees Detection, Estimation, And Modulation Theory , 2001 .

[15]  Antonia Papandreou-Suppappola,et al.  Group delay shift covariant quadratic time-frequency representations , 2001, IEEE Trans. Signal Process..

[16]  Peter Willett,et al.  Detection-tracking performance with combined waveforms , 1998 .

[17]  Neil J. Gordon,et al.  A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking , 2002, IEEE Trans. Signal Process..

[18]  J. Simmons,et al.  Acoustic imaging in bat sonar: Echolocation signals and the evolution of echolocation , 1980, Journal of comparative physiology.

[19]  J.A. Simmons,et al.  Through a bat's ear , 1992, IEEE Spectrum.

[20]  R.J. Evans,et al.  Optimal adaptive waveform selection for target detection , 2003, 2003 Proceedings of the International Conference on Radar (IEEE Cat. No.03EX695).

[21]  Darryl Morrell,et al.  Time-varying waveform selection and configuration for agile sensors in tracking applications , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[22]  J. Spall Multivariate stochastic approximation using a simultaneous perturbation gradient approximation , 1992 .

[23]  Peter Willett,et al.  Matrix CRLB scaling due to measurements of uncertain origin , 2001, IEEE Trans. Signal Process..

[24]  Y. Bar-Shalom Tracking and data association , 1988 .

[25]  C. Baker,et al.  Maritime surveillance radar Part 1 : Radar scattering from the ocean surface , 1990 .

[26]  Y. Bar-Shalom,et al.  Detection thresholds for tracking in clutter--A connection between estimation and signal processing , 1985 .

[27]  D. Swick A REVIEW OF WIDEBAND AMBIGUITY FUNCTIONS , 1969 .

[28]  Jeffrey K. Uhlmann,et al.  New extension of the Kalman filter to nonlinear systems , 1997, Defense, Security, and Sensing.