This paper is concerned with the problem of recovering a finite, deterministic time series from observations that are corrupted by additive, independent noise. A distinctive feature of this problem is that the available data exhibit long-range dependence and, as a consequence, existing statistical theory and methods are not readily applicable. This paper gives an analysis of the denoising probl...

Four objective metrics are presented for the characterization of noise suppression (NS) algorithms. These metrics are evolved of the work in (Paajanen et al., [1]) and in (Paajanen and Mattila, [2]), and of the discussion concerning the development of the ITU-T G.160 recommendation. The signal-to-noise ratio improvement (SNRI) metric assess the capability of a NS method to enhance the speech co...

ALTERNATIVE APPROACHES AND NOISE BENEFITS IN HYPOTHESIS-TESTING PROBLEMS IN THE PRESENCE OF PARTIAL INFORMATION Suat Bayram Ph.D. in Electrical and Electronics Engineering Supervisor: Asst. Prof. Dr. Sinan Gezici July 2011 Performance of some suboptimal detectors can be enhanced by adding independent noise to their observations. In the first part of the dissertation, the effects of additive noi...

We model a degraded image as an original image that has been subject to linear frequency distortion and additive noise injection. Since the psychovisual effects of frequency distortion and noise injection are independent, we decouple these two sources of degradation and measure their effect on the human visual system. We develop a distortion measure (DM) of the effect of frequency distortion, a...

In this paper, we are interested by the enhancement of colour images, where we present a numerical scheme to implement non linear diffusion filter. This scheme is developed to denoise colour images corrupted by additive noise. It is based on harmonic averaging that takes into account correlation between all colour components of the image. The proposed scheme is an efficient tool at image select...

We investigate the properties of hysteresis cycles produced by a one-dimensional, periodically forced Langevin equation. We show that depending on amplitude and frequency of the forcing and on noise intensity, there are three qualitatively different types of hysteresis cycles. Below a critical noise intensity, the random area enclosed by hysteresis cycles is concentrated near the deterministic ...

In a 1997 paper, Ball defined a generalised semiflow as a means to consider the solutions of equations without (or not known to possess) the property of uniqueness. In particular he used this to show that the 3d Navier-Stokes equations have a global attractor provided that all weak solutions are continuous from (0,∞) into L2. In this paper we adapt his framework to treat stochastic equations: w...