The Stability of Adaptive Minimum Mean Square Error Equalizers Using Delayed Adjustment

Minimum Mean Square Error Estimators for the Exponential SSALT Model

1School of Business Administration, Southwestern University of Finance and Economics No. 555, Liutai Ave, Wenjiang Zone, Chengdu 611130, China 2Yangtze Normal University, No. 98, Julong Ave, Fuling Zone, Chongqing, 408100, China 3School of Management and Economics University of Electronic Science and Technology of China No. 2006, Xiyuan Ave, West Hi-Tech Zone, Chengdu 611731, China e-mail: koug...

Minimum mean square error nonuniform FIR filter banks

Theory for jointly optimizing nonuniform analysis and synthesis FIR filter banks with arbitrary filter lengths and an arbitrary delay through the filter bank is developed. The FIR subband coder is optimized with respect to the minimum mean square error between the output and the input signals under a bit constraint. The subband quantizers are modeled as additive noise sources. Theoretical compa...

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...

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...

A minimum mean square error channel estimator for OFDM