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Functional Properties of Minimum Mean-Square Error and Mutual Information

IEEE Transactions on Information Theory, 2012
In addition to exploring its various regularity properties, we show that the minimum mean-square error (MMSE) is a concave functional of the input-output joint distribution. In the case of additive Gaussian noise, the MMSE is shown to be weakly continuous in the input distribution and Lipschitz continuous with respect to the quadratic Wasserstein ...
Yihong Wu, Sérgio Verdú
exaly   +3 more sources

Minimum Mean Square Error Vector Precoding

European Transactions on Telecommunications, 2005
AbstractWe derive theminimum mean square error(MMSE) solution to vector precoding for frequency flat multiuser scenarios with a centralised multi‐antenna transmitter. The receivers employ a modulo operation, giving the transmitter the additional degree of freedom to choose aperturbation vector.
D. Schmidt, M. Joham, W. Utschick
semanticscholar   +2 more sources

A Shrinkage Linear Minimum Mean Square Error Estimator

IEEE Signal Processing Letters, 2013
The conventional linear minimum mean square error (LMMSE) estimator is commonly implemented through the sample covariance matrix. This estimator can only be implemented if the sample size N is higher than the observation dimension M. Moreover, this estimator performs poorly when the sample size is not sufficiently large.
Chao-Kai Wen   +2 more
exaly   +2 more sources

A minimum mean square error approach for speech enhancement

International Conference on Acoustics, Speech, and Signal Processing, 1990
A minimum mean square error (MMSE) estimation approach for enhancing speech signals degraded by statistically independent additive noise is developed, based upon Gaussian autoregressive (AR) hidden Markov modeling of the clean signal and Gaussian AR modeling of the noise process.
Y. Ephraim
semanticscholar   +2 more sources

LSTM-convolutional-BLSTM encoder-decoder network for minimum mean-square error approach to speech enhancement

, 2021
In recent years, deep learning models have been employed for speech enhancement. Most of the existing methods based on deep learning use fully Convolutional Neural Network (CNN) to capture time–frequency information of input features. Compared with CNNs,
Zeyu Wang   +3 more
semanticscholar   +1 more source

Truncated squarer with minimum mean-square error

Microelectronics Journal, 2014
Abstract Squaring is an important arithmetic operation required in a multitude of applications. In this paper we present a truncated squarer that, with an n-bit input, produces its output on a number of bits that can be defined at design time in the [n,2n] range.
PETRA, NICOLA   +4 more
openaire   +3 more sources

Consistency of the minimum mean square error estimate

ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
The minimum mean square error estimate for the deconvolution problem of a Gaussian signal in Gaussian noise is shown to be feasible in the sense of being inside closed convex sets defined by the noise statistics. It is pointed out that there is some a priori knowledge which is not satisfied by the Wiener solution but the set formed by this information ...
H. Joel Trussell, M. Reha Civanlar
openaire   +1 more source

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