This book is intended for those wishing to acquire a working knowledge
of orthogonal transforms in the area of digital signal processing. The
authors hope that their introduction will enhance the opportunities for
interdiscipli- nary work in this field. The book consists of ten
chapters. The first seven chapters are devoted to the study of the
background, motivation and development of orthogonal transforms, the
prerequisites for which are a basic knowledge of Fourier series
transform (e.g., via a course in differential equations) and matrix al-
gebra. The last three chapters are relatively specialized in that they
are di- rected toward certain applications of orthogonal transforms in
digital signal processing. As such, a knowlegde of discrete probability
theory is an essential additional prerequisite. A basic knowledge of
communication theory would be helpful, although not essential. Much of
the material presented here has evolved from graduate level courses
offered by the Departments of Electrical Engineering at Kansas State
University and the University of Texas at Arlington, during the past
five years. With advanced graduate students, all the material was
covered in one semester. In the case of first year graduate students,
the material in the first seven chapters was covered in one semester.
This was followed by a prob- lems project-oriented course directed
toward specific applications, using the material in the last three
chapters as a basis.