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In this work, we obtain sufficient conditions for the ``stability" of ourrecently proposed algorithms, modified-CS (for noisy measurements) and LeastSquares CS-residual (LS-CS), designed for recursive reconstruction of sparsesignal sequences from noisy measurements. By ``stability" we mean that thenumber of misses from the current support estimate and the number of extras init remain bounded by a time-invariant value at all times. The concept ismeaningful only if the bound is small compared to the current signal supportsize. A direct corollary is that the reconstruction errors are also bounded bya time-invariant and small value.

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