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Stochastic Modeling and Particle Filtering Algorithms for Tracking a Frequency-Hopped Signal
University of Minessota, Mineapolis.
Army Research Lab (ARL), USA.
2009 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 57, no 8, 3108-3118 p.Article in journal (Refereed) Published
Abstract [en]

The problem of tracking a frequency-hopped signal without knowledge of its hopping pattern is considered. The problem is of interest in military communications, where, in addition to frequency, hop timing can also be randomly shifted to guard against unauthorized reception and jamming. A conceptually simple nonlinear and non-Gaussian stochastic state-space model is proposed to capture the randomness in carrier frequency and hop timing. This model is well-suited for the application of particle filtering tools: it is possible to compute the optimal (weight variance-minimizing) importance function in closed-form. A convenient mixture representation of the latter is employed together with Rao-Blackwellization to derive a very simple optimal sampling procedure. This is representative of the state-of-art in terms of systematic design of particle filters. A heuristic design approach is also developed, using the mode of the spectrogram to localize hop particles. Performance is assessed in a range of experiments using both simulated and measured data. Interestingly, the results indicate that the heuristic design approach can outperform the systematic one, and both are robust to model assumptions.

Place, publisher, year, edition, pages
IEEE , 2009. Vol. 57, no 8, 3108-3118 p.
Keyword [en]
frequency hop communication, jamming, particle filtering (numerical methods), stochastic processes
National Category
Signal Processing
URN: urn:nbn:se:kth:diva-46499DOI: 10.1109/TSP.2009.2020765ISI: 000268106700020OAI: diva2:453783
© 2009 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. QC 20111109Available from: 2011-11-09 Created: 2011-11-03 Last updated: 2011-11-09Bibliographically approved

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