Random Filters for Compressive Sampling and Reconstruction
Author
Baraniuk, Richard G.; Wakin, Michael; Duarte, Marco F.; Tropp, Joel A.; Baron, Dror
Date
2006-07-24Abstract
We propose and study a new technique for efficiently acquiring and reconstructing signals based on convolution with a fixed FIR filter having random taps. The method is designed for sparse and compressible signals, i.e., ones that are well approximated by a short linear combination of vectors from an orthonormal basis. Signal reconstruction involves a non-linear Orthogonal Matching Pursuit algorithm that we implement efficiently by exploiting the nonadaptive, time-invariant structure of the measurement process. While simpler and more efficient than other random acquisition techniques like Compressed Sensing, random filtering is sufficiently generic to summarize many types of compressible signals and generalizes to streaming and continuous-time signals. Extensive numerical experiments demonstrate its efficacy for acquiring and reconstructing signals sparse in the time, frequency, and wavelet domains, as well as piecewise smooth signals and Poisson processes.
Description
Conference Paper
Citation
Published Version
Keyword
Orthogonal Matching Pursuit algorithm; DSP for Communications; Orthogonal Matching Pursuit algorithm
Type
Conference paper
Citable link to this page
https://hdl.handle.net/1911/20399Metadata
Show full item recordCollections
- DSP Publications [508]
- ECE Publications [1494]