Radio Receiver Design

Chapter 6: Linearity

Nothing is more noble, nothing more venerable than fidelity.

-Cicero

6.1 Introduction

In Chapter 5, we found that thermal noise sets the limit on the smallest signal a receiver can process. Linearity, on the other hand, sets the limit on the largest signal that can be processed. A system will alter or distort any signal that is too large.

Definitions

Since there is some contention about describing the various harmonics of a signal, the following nomenclature is used throughout this book:

  • Fundamental: The frequency is f 0.

  • First Harmonic: The frequency is also f 0.

  • Second Harmonic: The frequency is 2 f 0.

  • Third Harmonic: The frequency is 3 f 0.

  • n th Harmonic: The frequency is n f 0.

6.2 Linear and Nonlinear Systems

Although every system is nonlinear to one extent or another, this discussion focuses on linear systems for the following reasons:

  • Almost every nonlinear system can be modeled as a linear system over a narrow operating range. For example, RF amplifiers are nonlinear devices but, if the input signal power is kept small enough, the amplifier can be modeled as a linear device.

  • Even simple filters, which consists of common inductors and capacitors, are nonlinear devices. At very high power levels, the dielectrics of the capacitors behave in a nonlinear fashion and the inductors can saturate. As a result, the value of the component changes with the voltage across it or the current through it. This is a nonlinear process.

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