Chapter 2. Theoretical Foundations

By Emil Björnson, KTH Royal Institute of Technology, Sweden, emilbjo@kth.se | Özlem Tuğfe Demir, KTH Royal Institute of Technology, Sweden

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Published: 17 Jan 2024

© 2024 Emil Björnson | Özlem Tuğfe Demir

Abstract

This book is dedicated to analyzing multiple antenna communication systems, and we will rely on methods from linear algebra, probability theory, signal processing, and information theory. This chapter will describe the key results from these fields that we will utilize in later chapters, using the notation and terminology used in the remainder of this book. The reader is expected to be familiar with these general topics since the chapter mainly summarizes essential results, and we refer to other textbooks for an in-depth introduction. The focus is on complex numbers and how they enter into the aforementioned theory when developing concise models of communication systems.