Undoubtably one of the key factors influencing recent technology has been the advent of high speed computational tools. Virtually every advanced engi neering system we come in contact with these days depends upon some form of sampling and digital signal processing. Well known examples are digital tele phone systems, digital recording of audio signals and computer control. These developments have been matched by the appearance of a plethora of books which explain a variety of analysis, synthesis and design tools applica ble to sampled-data systems. The reader might therefore wonder what is distinc tive about the current book. Our observation of the existing literature is that the underlying continuous-time system is usually forgotten once the samples are tak en. The alternative point of view, adopted in this book, is to formulate the analy sis in such a way that the user is constantly reminded of the presence of the under lying continuous-time signals. We thus give emphasis to two aspects of sampled-data analysis: Firstly, we formulate the various algorithms so that the appropriate contin uous-time case is approached as the sampling rate increases. Secondly we place emphasis on the continuous-time output response rath er than simply focusing on the sampled response."

Endoscopic imaging is a very important tool in modern medicine. Physicians set very high demands for image quality, but that quality is limited by endoscope fiber technology. This research addresses the problem of resolution enhancement of endoscopic images. A mathematical model of an endoscope was developed, describing an endoscope system as a Linear Space Invariant (LSI) filtering with sampling. The problem of image resolution improvement was considered as a Super Resolution (SR) problem. An efficient algorithm for calculating reconstruction discrete filters is presented, handling a general sampling grid. The problem of Moire artifacts which is typical for images of fiber-scopes is discussed in this work. The processes involved in the creation of the artifacts are studied and modeled by the computer simulations. We explain how the technological breakthrough of the recent years in development of high-resolution imaging sensors can help to eliminate the problem of the artifacts."