To make things less abstract, this can be interpreted as a model for pixels in an image (d), which has been taken by a camera which blurs the light sources (f) via some point spread function (R) and is noisy (n). Note that the light sources are expected to have correlational structure in the real world and the prior over light sources reflects this (Ψ). Particular methods for specifying Ψ are G...

This paper addresses the QR decomposition and UD factorization based square-root algorithms of the recursive least-squares (RLS) Wiener fixed-point smoother and filter. In the RLS Wiener estimators, the Riccati-type difference equations for the auto-variance function of the filtering estimate are included. Hence, by the roundoff errors, in the case of the small value of the observation noise va...

We analyze a Fourier-domain Wiener filter for the reconstruction of aliased imagery. The filter is designed to minimize the expected mean square error for the unaliased portion of the object Fourier transform. This analysis yields a net system transfer function, which characterizes the combined effects of the imaging system, sampling, and the reconstruction process, that is valid at both aliase...

An adaptive transversal equalizer based on the least-mean-square (LMS) algorithm, operating in an environment with a temporally correlated interference, can exhibit better steady-state mean-square-error (MSE) performance than the corresponding Wiener filter. This phenomenon is a result of the nonlinear nature of the LMS algorithm and is obscured by traditional analysis approaches that utilize t...

This paper explores the noise reduction problem in the KarhunenLoève expansion (KLE) domain from a multichannel perspective. Based on formulations proposed for the design of optimal singlechannel noise reduction in the KLE domain, we formulate the multichannel noise reduction in the KLE domain. Two different performance measures are presented: the noise reduction and speech distortion. The opti...

Ultrasound image deconvolution has been widely investigated in the literature. Among the existing approaches, the most common are based on l2-norm regularization (or Tikhonov optimization) or the well-known Wiener filtering. However, the success of the Wiener filter in practical situations largely depends on the choice of the regularization hyperparameter. An appropriate choice is necessary to ...

ABSTRACT—We investigate a pilot-symbol based channel estimation scheme that uses a combination of Maximum-Likelihood (ML) estimation and Wiener filtering. Besides the optimum Wiener filter, we also investigate suboptimum Wiener filters which offer a better robustness against path delay time estimation errors and/or have a lower complexity. The mean squared error (MSE) of the channel impulse res...

Nonlinear effects, or non-Wiener behavior, have been observed in several adaptive filtering applications, such as adaptive equalization of wideband communication signals contaminated by narrowband interference, adaptive narrowband noise cancellation, and adaptive linear prediction of narrowband processes. The nonlinear effects have been especially prominent when narrowband processes have been i...

This paper presents a frequency domain degraded image restoration practical method. We call it practical wiener filter. Using this filter, the value for K parameter of wiener filter is determined experimentally that is so difficult and time consuming. Furthermore, there is no any absolute remark to claim that the obtained images by restoration process are the best could be possible. In order to...

Digital color cameras using a single detector array with a Bayer color filter array (CFA) require interpolation or demosaicing to estimate missing color information and provide full-color images. However, demosaicing does not specifically address fundamental undersampling and aliasing inherent in typical camera designs. Fast non-uniform interpolation based super-resolution (SR) is an attractive...