534 citations · 1k across the 10 of their papers we have counts for
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math.CV2010★ 4 cited
Bounded Mean Oscillation and Bandlimited Interpolation in the Presence of Noise
Gaurav Thakur
We study some problems related to the effect of bounded, additive sample noise in the bandlimited interpolation given by the Whittaker-Shannon-Kotelnikov (WSK) sampling formula. We…
math.NA2010★ 73 cited
Reconstruction of Bandlimited Functions from Unsigned Samples
Gaurav Thakur
We consider the recovery of real-valued bandlimited functions from the absolute values of their samples, possibly spaced nonuniformly. We show that such a reconstruction is always…
math.NA2010★ 401 cited
Synchrosqueezing-based Recovery of Instantaneous Frequency from Nonuniform Samples
Gaurav Thakur, Hau-Tieng Wu
We propose a new approach for studying the notion of the instantaneous frequency of a signal. We build on ideas from the Synchrosqueezing theory of Daubechies, Lu and Wu and consid…