O'Reilly logo

A Signal Theoretic Introduction to Random Processes by Roy M. Howard

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

3BACKGROUND: SIGNAL THEORY

3.1 INTRODUCTION

This chapter details relevant signal theory and associated results that are important for subsequent chapters. Material on orthogonality, Dirichlet theory, and the Dirac Delta provide the basis for a discussion of Fourier theory and signal power. This is followed by a discussion of the power spectral density, and autocorrelation, functions. Finally, an introduction to the Cramer representation of a signal, and the Cramer transform, is given.

3.2 SIGNAL ORTHOGONALITY

Orthogonality and signal decomposition underpin a significant level of modern analysis, particularly, in the communications field. The following definitions are fundamental:

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required