Rapid transient superresolution frequency tracking via generalized ESPRIT

Robert M. Nickel

doi:10.1117/12.735386

25 September 2007 Rapid transient superresolution frequency tracking via generalized ESPRIT

Robert M. Nickel

Proceedings Volume 6697, Advanced Signal Processing Algorithms, Architectures, and Implementations XVII; 669706 (2007) https://doi.org/10.1117/12.735386
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

We are presenting a new method for super resolution tracking of frequency modulated sinusoids in white noise. The method is specifically designed to handle the rapid transient problem, i.e. the problem of tracking a continuous, rapidly changing instantaneous frequency contour. The proposed method employs two components: 1) an adaptive generalized scale transform ^1,2 which applies a localized change of time-frequency coordinates within the given signal, and 2) an estimation of signal parameters by rotational invariance techniques3 (ESPRIT). With experiments we have shown that the proposed method provides a significantly higher estimation accuracy than conventional methods.³ With an optimal choice of transform parameters the estimation error can be reduced dramatically. Error reductions of over 40% have been observed.

Citation Download Citation

Robert M. Nickel "Rapid transient superresolution frequency tracking via generalized ESPRIT", Proc. SPIE 6697, Advanced Signal Processing Algorithms, Architectures, and Implementations XVII, 669706 (25 September 2007); https://doi.org/10.1117/12.735386

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