where f is an unknown function, and the ei's are noise. Our goal is to recover f using wavelet methods. We shall assume that n = 2 is an integer power of 2, and consider both the cases of independent and correlated noise. Let f = (f0; : : : ; fn 1) T , y = (y0; : : : ; yn 1) T and W be the discrete wavelet transform (DWT) matrix (e.g., see Donoho & Johnstone 1994). A wavelet{based estimate f̂ of...

A great challenge in the field of image processing nowadays, is image denoising. Although, there have been proposed various methods and algorithms for the same, but, most of them have not attained the desirable results. The performance does not match with the assumed one. The wavelet theory is relatively the newest concept in this field. The main aim of this study (paper) is to examine various ...

The emphasis in this article is on the study of nonstationary two-dimensional (2-D) random fields with wide-sense stationary increments, wide-sense stationary jumps, and 2-D fractional Brownian motion (fBm) fields. The effort made in this work is to develop a realizable method of stationarization provided for nonstationary 2-D random fields. We also present the correlation functions of the disc...

This paper describes a form of discrete wavelet transform, which generates complex coefficients by using a dual tree of wavelet filters to obtain their real and imaginary parts. This introduces limited redundancy (2m : 1 for m-dimensional signals) and allows the transform to provide approximate shift invariance and directionally selective filters (properties lacking in the traditional wavelet t...

The vast amount of music available electronically presents considerable challenges for information retrieval. There is a need to annotate music items with descriptors in order to facilitate retrieval. In this paper we present a process for determining the music genre of an item using the Discrete Wavelet Transform and a round -robin classification technique. The wavelet transform is used to ext...

Improving arousal recognition accuracy based on EEG signals is important for emotion recognition. In this research, discrete wavelet transform was employed to extract features and cross-level method was proposed to select effective features. Cross-level method showed a great potential for 2-level arousal classification and the recognition accuracy reached to 91.8%. Besides, sensitivity of EEG c...

The influence of the number of Discrete Wavelet Transform (DWT) iterations on a wavelet OFDM (WOFDM) system performance is studied in this paper. The WOFDM transmission is tested on a flat, time variant radio channel. Basically, the number of DWT iterations coincides with the number of transmission scales used. Our simulations show that by increasing the value of this parameter, the BER perform...

A novel method for generic visible watermarking with a capability of lossless video recovery is proposed. The method is based on the use of deterministic one-to-one compound mappings of frame pixel values for overlaying a variety of visible watermarks of arbitrary sizes on cover videos. The compound mappings are proved to be reversible, which allows for lossless recovery of original video from ...

Gender classification is a major area of classification that has generated a lot of academic and research interest over the past decade or so. Being a recent area of interest in classification, there is still a lot of opportunity for further improvements in the existing techniques and their capabilities. In this paper, an attempt has been made to cover some of the limitations that the associate...

3D geometry is one of the most extensively used data in military, engineering, and multimedia communication. In a distributed environment, efficient visual data exchange is desirable for real-time collaboration. Geometry compression is an effective way to distribute high-volume geometry data within limited bandwidth and storage capacity. In this paper, a new time-varying 3D geometry compression...