Recursive Recovery of Sparse Signal Sequences from Compressive Measurements (Recursive Dynamic CS)

Students: Wei Lu, Jinchun Zhan

Overview article: N. Vaswani and J. Zhan, Recursive Recovery of Sparse Signal Sequences from Compressive Measurements: A Review, revised and resubmitted to IEEE Trans. Signal Processing

Code (for generating all its figures)

(This overview article compares work done by Vaswani and her students as well as work from other groups on this topic. The code from other groups is taken from

http://www2.ece.ohio-state.edu/~schniter/DCS/index.html (DCS-AMP); http://users.ece.gatech.edu/~sasif/homotopy (l1 homotopy);http://dsp.ucsd.edu/~zhilin/TMSBL.html (temporal SBL); http://bispl.weebly.com/compressive-music.html (CS-MUSIC). If you use any of their codes, please cite the authors relevant papers. These are cited in our overview article and are also available on the code websites.)

Papers on this topic from Vaswani group:

Namrata Vaswani, Kalman Filtered Compressed Sensing, IEEE Intl. Conf. Image Proc. (ICIP), 2008. LS-CS and KF-CS code

Namrata Vaswani, LS-CS-residual (LS-CS): Compressive Sensing on the Least Squares Residual, IEEE Trans. Signal Processing, Vol. 58, No. 8, August, 2010. LS-CS and KF-CS code

Namrata Vaswani and Wei Lu, Modified-CS: Modifying Compressive Sensing for Problems with Partially Known Support, IEEE Trans. Signal Processing, Vol. 58, No. 9, September, 2010. Modified-CS code [IEEE Signal Processing Society Best Paper Award 2014]

Jinchun Zhan and Namrata Vaswani, Time Invariant Error Bounds for Modified-CS based Sparse Signal Sequence Recovery, IEEE Trans. Information Theory, March 2015

Wei Lu and Namrata Vaswani, Exact Reconstruction Conditions for Regularized Modified Basis Pursuit, IEEE Trans. Signal Processing, vol. 60, No. 5, May, 2012

Wei Lu and Namrata Vaswani, Regularized Modified BPDN for Noisy Sparse Reconstruction with Partial Erroneous Support and Signal Value Knowledge, IEEE Trans. Signal Processing, Vol. 60, No. 1, January, 2012 Modified-CS code

Daguang Xu, Namrata Vaswani, Yong Huang, Jin U. Kang, Modified compressive sensing optical coherence tomography with noise reduction, Optics Letters, vol 37, No. 20, October 2012 Modified-CS code

All publications