Stability (over time) of Modified-CS and LS-CS for Recursive Causal Sparse Reconstruction

Details Stability (over time) of Modified-CS and LS-CS for Recursive Causal Sparse Reconstruction Stability (over time) of Modified-CS and LS-CS for Recursive Causal Sparse Reconstruction

2010-06-24

arxiv.org/abs/1006.4818v1

Computer Science

Information Theory

15 pages, one figure with four rows

Scientific paper

In this work, we obtain sufficient conditions for the ``stability" of our recently proposed algorithms, modified-CS (for noisy measurements) and Least Squares CS-residual (LS-CS), designed for recursive reconstruction of sparse signal sequences from noisy measurements. By ``stability" we mean that the number of misses from the current support estimate and the number of extras in it remain bounded by a time-invariant value at all times. The concept is meaningful only if the bound is small compared to the current signal support size. A direct corollary is that the reconstruction errors are also bounded by a time-invariant and small value.

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