2.3.1 Power Series Expansion

Chapter 2.3.1 Power Series Expansion

Radio Frequency Integrated Circuit Design Second Edition Book
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Radio Frequency Integrated Circuit Design Second Edition Book

  • 2.3 Linearity and Distortion in RF Circuits 1as shown in Figure 2.7(b). However, if the circuit is not biased between the two clipping levels, then clipping can be nonsymmetrical as shown in Figure 2.7(c).2.3.1  Power Series ExpansionMathematically, any nonlinear transfer function can be written as a series expan-sion of power terms unless the system contains memory, in which case a Volterra series is required [9, 10]: 23out01 in2 in3 in...vkk vk vk v=++++ (2.42)Figure 2.6  Illustration of the nonlinearity in (a) a diode and (b) an amplifier.Figure  2.7  Distorted output waveforms: (a) input; (b) output, clipping; and (c) output, bias wrong.