## Abstract

One of the most important signal specifications for an oscillation is its spectral purity. In *every* oscillator application there is a limit on the noise that can be allowed to contaminate the oscillation. Therefore this, and the following two chapters are devoted to noise. In this chapter, general descriptions are given of the influence of noise on oscillations. Section 4.2 starts with a mathematical description of contaminations of oscillations. Section 4.3 specifically zooms in on the noise behavior of oscillators. In this section, the mathematical fundamentals of Section 4.2 are used as a basis. In the five subsections of Section 4.3, various noise measures are presented that are often used in literature. Some of these noise measures can effectively describe the noise behavior whereas others should be avoided. Using the results of the subsections describing the various noise measures, the results from the rest of the chapter can be compared to results already known from literature. In the last section, the Bennet model is introduced. This model can be used advantageously for noise calculations in oscillators. In Chapter 5, this model is used for the description of the influence of noise in first-order oscillators.

## Keywords

Noise Measure Phase Noise Noise Source Noise Spectrum Spectral Purity## Preview

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