the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

A nonlinear signal-processing model is derived for the optical recording channel based on scalar diffraction theory. In this model, the signal waveform is written in closed form as an explicit function of the channel bits that are stored on an optical disk, thereby comprising both linear and nonlinear terms. Its explicit dependence on the channel bits makes this model well suited for signal-pro...

1. Background and motivation Multi-dimensional image processing is of paramount importance in areas such as multimedia, robotics, computer vision, graphics, biomedical engineering and industrial inspection. The growing interest in the development of multi-dimensional image processing techniques should be attributed primarily to the importance of color image and video processing and analysis. Pr...

Abstract With the development of all-optical networks, devices have become a research hotspot in recent years. Two-dimensional materials, represented by graphene and black phosphorus, attracted great interest scientific community due to their excellent optical, electrical, magnetic, mechanical properties. Bridging gap between fiber optics nanotechnology, microfibers can interact with light matt...

many steps of seismic data processing sequence suppose that data sets are sampled in time and spatial dimensions uniformly. today, this assumption is true but only in time dimension. modern seismic exploration equipment permits seismic data sets to be sampled uniformly and densely in time dimension. however, along spatial dimension uniform and dense sampling are not possible because of operatin...

This thesis presents a new methodology to analyze one-dimensional signals trough a new approach called Multi Layer Analysis, for short MLA. It also provides some new insights on the relationship between one-dimensional signals processed by MLA and tree kernels, test of randomness and signal processing techniques. The MLA approach has a wide range of application to the fields of pattern discover...

Acoustic signal extraction and identiication in the underwater environment is best achieved by adaptive methods as the signals encountered are generally non-stationary and corrupted by unpredictable noise sources, such as man-made noise, biological and seismic noises. While classical methods often fail in such an environment, the recent use of mul-tiresolution methods like the adaptive wavelet ...

With progress in radar systems, a number of methods have been developed for signal processing and detection in radars. A number of modern radar signal processing methods use time-frequency transforms, especially the wavelet transform (WT) which is a well-known linear transform. The interference canceling is one of the most important applications of the wavelet transform. In Ad-hoc detection met...