Multidimensional digital signal processing / Многомерная цифровая обработка сигналов

One of the by-products of the computer revolution has been the emergence of completely new fields of study. Each year, as integrated circuits have become faster, cheaper, and more compact, it has become possible to find feasible solutions to problems of ever-increasing complexity. Because it demands massive amounts of digital storage and comparable quantities of numerical computation, multidimensional digital signal processing is a problem area which has only recently begun to emerge. Despite this fact, it has already provided the solutions to important problems ranging from computer-aided tomography (CAT), a technique for combining x-ray projections from different orientations to create a three-dimensional reconstruction of a portion of the human body, to the design of passive sonar arrays and the monitoring of the earth’s resources by satellite. In addition to its many glamorous and humble applications, however, multidimensional digital signal processing also possesses a firm mathematical foundation, which allows us not only to understand what has already been accomplished, but also to explore rationally new problem areas and solution methods as they arise. <...>