This book presents a number of important, but not so well-known, topics that currently exist scattered in the research literature. Advanced Concepts in Adaptive Signal Processing is intended to serve practitioners who need to consider using advanced techniques that are not found documented in currently available books. This book can also be used as a text in advanced graduate level courses on special topics. As a work that integrates the major results of four recent PhD dissertations, this book represents many man-years of research efforts. The text is rich with illustrative computer-generated examples, many of which were designed to investigate unknown phenomena, rather than to demonstrate already known principles. Advanced Concepts in Adaptive Signal Processing is written for the reader who is familiar with the conventional field of captive signal processing. A fundamental course from one of the many referenced texts would provide sufficient background. Throughout the book, where it was deemed necessary, certain conventional topics are developed in more detail to provide essential background.