RF and Microwave Transistor Oscillator Design
Chapter One
Nonlinear circuit design methods
This chapter presents the most commonly used design techniques for analysing nonlinear circuits,
in particular, transistor oscillators. There are several approaches to analyse and design
nonlinear circuits, depending on their main specifications. This means an analysis both in the
time domain to determine transient circuit behaviour and in the frequency domain to improve
power and spectral performances when parasitic effects such as instability and spurious emission
must be eliminated or minimized. Using the time-domain technique, it is relatively easy
to describe a nonlinear circuit with differential equations, which can be solved analytically
in explicit form for only a few simple cases. Under an assumption of slowly varying amplitude
and phase, it is possible to obtain separate truncated first-order differential equations for
the amplitude and phase of the oscillation process from the original second-order nonlinear
differential equation. However, generally it is required to use numerical methods. The time-domain
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