# Estimating the Frequency of a Clustered Signal

@article{Chen2019EstimatingTF, title={Estimating the Frequency of a Clustered Signal}, author={Xue Chen and Eric Price}, journal={ArXiv}, year={2019}, volume={abs/1904.13043} }

We consider the problem of locating a signal whose frequencies are "off grid" and clustered in a narrow band. Given noisy sample access to a function $g(t)$ with Fourier spectrum in a narrow range $[f_0 - \Delta, f_0 + \Delta]$, how accurately is it possible to identify $f_0$? We present generic conditions on $g$ that allow for efficient, accurate estimates of the frequency. We then show bounds on these conditions for $k$-Fourier-sparse signals that imply recovery of $f_0$ to within $\Delta…

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