This paper points out that the predictability analysis of conventional time series may in general be invalid for long-range dependent LRD series since the conventional mean-square error MSE may generally not exist for predicting LRD series. To make the MSE of LRD series prediction exist, we introduce a generalized MSE. With that, the proof of the predictability of LRD series is presented in Hil...

EDUCATIONAL BACKGROUND PhD (May 1987, GPA 3.92/4.0), MSE (Aug. 1985, GPA 4.00/4.0) Dept. Electrical Engineering, University of Pennsylvania, Philadelphia, USA PhD Dissertation: Nonlinear Techniques for Detection and Filtering of Discrete-Time Signals Advisor: Professor Saleem A. Kassam MSE (Feb. 1984, GPA 4.01/4.3), BSE (Feb. 1982, GPA 3.65/4.3, magna cum laude) Dept. Electronics Engineering, S...

The image corrupted by different kinds of noises is a frequently encountered problem in image acquisition and transmission. The noise comes from noisy channel transmission errors. The impulse noise (or salt and pepper noise) is caused by sharp, unexpected disturbances in the image signal; its appearance is randomly scattered white or black (or both) pixels over the image. Gaussian noise is an i...

This paper proposes a cumulant (higher-order statistics) based mean-square-error (MSE) criterion for the design of Wiener filters when both the given wide-sense stationary random signal x(n) and the desired signal d(n) are non-Gaussian and contaminated by Gaussian noise sources. It is theoretically shown that the designed Wiener filter associated with the proposed criterion is identical to the ...

Moringa (Moringa oleifera Lam.) seed extract (MSE) has anti-inflammatory and antioxidant activities. We investigated the effects of MSE enriched in moringa isothiocyanate-1 (MIC-1), its putative bioactive, on ulcerative colitis (UC) and its anti-inflammatory/antioxidant mechanism likely mediated through Nrf2-signaling pathway. Dextran sulfate sodium (DSS)-induced acute (n = 8/group; 3% DSS for ...