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Interpolation and Denoising of Nonuniformly Sampled Data using Wavelet-domain Processing

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Title: Interpolation and Denoising of Nonuniformly Sampled Data using Wavelet-domain Processing
Author: Choi, Hyeokho; Baraniuk, Richard G.
Type: Conference Paper
Keywords: interpolation; denoising; wavelet-domain processing
Citation: H. Choi and R. G. Baraniuk,"Interpolation and Denoising of Nonuniformly Sampled Data using Wavelet-domain Processing," in IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP),, pp. 1645-1648.
Abstract: In this paper, we link concepts from nonuniform sampling, smoothness function spaces, interpolation, and denoising to derive a suite of multiscale, maximum-smoothness interpolation algorithms. We formulate the interpolation problem as the optimization of finding the signal that matches the given samples with smallest norm in a function smoothness space. For signals in the Besov space B," (Lp)t,h e optimization corresponds to convex programming in the wavelet domain; for signals in the Sobolev space We(&), the optimization reduces to a simple weighted least-squares problem. An optional wavelet shrinkage regularization step makes the algorithm suitable for even noisy sample data, unlike classical approaches such as bandlimited and spline interpolation.
Date Published: 1999-03-01

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  • ECE Publications [1043 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.