Cost-effective quaternion minimum mean square error estimation: From widely linear to four-channel processing

Complex dual channel estimation: Cost effective widely linear adaptive filtering

Widely linear estimation for complex-valued data allows for a unified treatment of both second order circular (proper) and non-circular (improper) signals. We propose the complex dual channel (CDC) estimation technique as an alternative to widely linear estimation to both gain further insights into complex valued minimum mean square error (MMSE) estimation and to design computationally efficien...

A minimum mean square error channel estimator for OFDM

A minimum mean square error channel estimator for OFDM

Notes on Linear Minimum Mean Square Error Estimators

Some connections between linear minimum mean square error estimators, maximum output SNR filters and the least square solutions are presented. The notes have been prepared to be distributed with EE 503 (METU, Electrical Engin.) lecture notes. 1 Linear Minimum Mean Square Error Estimators The following signal model is assumed: r = Hs + v (1) Here r is a N × 1 column vector denoting the observati...

Rate-distortion function via minimum mean square error estimation

We derive a simple general parametric representation of the rate–distortion function of a memoryless source, where both the rate and the distortion are given by integrals whose integrands include the minimum mean square error (MMSE) of the distortion ∆ = d(X, Y ) based on the source symbol X , with respect to a certain joint distribution of these two random variables. At first glance, these rel...