MathDB3 problems
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Rabi et al.'s conjecture on MMSE decoding under optimal sampling
Let the sampling policy be optimal, and let an MMSE decoding policy be a decoding policy that minimizes the mean-square error. A deterministic (process-independent) sampling policy…
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The MMSE decoding conjecture for frequency-constrained sampling
Consider the Wiener and Ornstein–Uhlenbeck processes under a frequency-constrained sampling policy. Let the MMSE decoding policy be the decoding policy that minimizes the mean-squa…
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Universal denoiser asymptotic MMSE conjecture for unbounded stationary ergodic signals
Universal denoising conjecture. Under some technical conditions, the modified universal denoiser achieves the MMSE asymptotically for unbounded stationary ergodic signals.