On the Mean Square Error Optimal Estimator in One-Bit Quantized Systems

A minimum mean square error channel estimator for OFDM

A minimum mean square error channel estimator for OFDM

Asymptotically Optimal Scalable Coding for Minimum Weighted Mean Square Error

In this paper, we derive an asymptotically optimal multi-layer coding scheme for entropy-coded scalar quantizers (SQ) that minimizes the weighted mean-squared error (WMSE). The optimal entropy-coded SQ is non-uniform in the case of WMSE. The conventional multi-layer coder quantizes the base-layer reconstruction error at the enhancement-layer, and is sub-optimal for the WMSE criterion. We consid...

Mean square error optimal weighting for multitaper cepstrum estimation

The aim of this paper is to find a multitaper-based spectrum estimator that is mean square error optimal for cepstrum coefficient estimation. The multitaper spectrum estimator consists of windowed periodograms which are weighted together, where the weights are optimized using the Taylor expansion of the log-spectrum variance and a novel approximation for the log-spectrum bias. A thorough discus...

Moments and root-mean-square error of the Bayesian MMSE estimator of classification error in the Gaussian model

The most important aspect of any classifier is its error rate, because this quantifies its predictive capacity. Thus, the accuracy of error estimation is critical. Error estimation is problematic in small-sample classifier design because the error must be estimated using the same data from which the classifier has been designed. Use of prior knowledge, in the form of a prior distribution on an ...