25 September 2007 Rapid transient superresolution frequency tracking via generalized ESPRIT
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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.
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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); doi: 10.1117/12.735386; https://doi.org/10.1117/12.735386
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