We discuss the problem of image restoration from observed images. Most of the image restoration filters proposed so far include parameters that control the restoration properties. For bringing out the optimal restoration performance of the filters, the parameter values should be determined so as to minimize a certain error measure such as the mean squared error (MSE) between the restored image ...

In this brief, we develop an least mean square (LMS) algorithm that converge in a statistical sense to the global minimum of the mean square error (MSE) objective function. This is accomplished by estimating the gradient as a smoothed version of the MSE. The smoothed MSE objective begins as a convex functional in the mean. The amount of dispersion or smoothing is reduced, such that over time it...

This module motivates and introduces the minimum variance unbiased estimator (MVUE). This is the primary criterion in the classical (frequentist) approach to parameter estimation. We introduce the concepts of mean squared error (MSE), variance, bias, unbiased estimators, and the bias-variance decomposition of the MSE. The Minimum Variance Unbiased Estimator 1 In Search of a Useful Criterion In ...

Medical images like ultrasound images are generally corrupted by speckle noise during their acquisition and transmission. The impact of speckle noise reduces the diagnostic value of the medical image modality. Thus, a speckle noise reduction technique is necessary for the suppression of noise and to retain the fine details from the corrupted image. In this article, a new speckle noise reduction...

Multisensory enhancement (MSE) is the augmentation of the response to sensory stimulation of one modality by stimulation of a different modality. It has been described for multisensory neurons in the deep superior colliculus (DSC) of mammals, which function to detect, and direct orienting movements toward, the sources of stimulation (targets). MSE would seem to improve the ability of DSC neuron...

Message Stream Encryption (MSE) provides obfuscation, data confidentiality, and limited authentication to BitTorrent clients. Although obfuscation of header and payload data was the main design goal of MSE, users understandably still expect data confidentiality and authentication from their BitTorrent clients. In this paper, we present numerous attacks on the MSE protocol itself, independent of...

In this paper, a new channel estimation method for OFDM WLAN systems is proposed. This proposal mainly consists of smoothing filtering and decision-directed tracking loop schemes, where the former is used to enhance performance at low SNR and the latter is exploited to enhance performance at high SNR respectively. Together with an adaptive channel management, bener performance in terms of MSE a...

Mean Squared Error (MSE) has been the most widely used tool to solve the linear filter estimation or system identification problem. However, MSE gives biased results when the input signals are noisy. This paper presents a novel Error Whitening Criterion (EWC) to tackle the problem of linear system identification in the presence of additive white disturbances. We will motivate the theory behind ...

In modern communication technologies, the demand of image data compression increasing rapidly. This paper presents different methods for image compression like DCT, Walsh, Hadamard and Walsh Hadamard. Main objective of this paper is to achieve the higher compression ratio and lower the Mean square error. Different test images over different orthogonal transform are used to achieve the performan...