Jorge Muñoz-Minjares

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A forward-backward (FB) unbiased finite impulse response (UFIR) smoothing algorithm is addressed to provide efficient denoising of piecewise-smooth signals with known or identifiable edge positions. Owing to the time-variant horizon, the algorithm unites advantages of linear structures with robustness of nonlinear ones. The FB UFIR smoother proposed has(More)
It is shown that jitter is fundamentally inherent to the break-points of discrete sparse piecewise-constant signals measured in noise. No one estimator, even ideal, is able to provide the jitter-free breakpoints detection with unit probability. Even so, the jitter distribution in such signals was unknown so far. We have shown that for noise having white(More)
Estimation of the genome copy number variations (CNVs) measured using the high-resolution array-comparative ge-nomic hybridization (HR-CGH) microarray is provided in the presence of large measurement white Gaussian noise having typically different segmental variances. Jitter inherent to the breakpoints of such signals can be approximated with the discrete(More)
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