Modeling Nonlinear Amplifiers

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$Math 121 Test #1 Spring 2012$

$Math 121 Test #2 Spring 2012$

Purpose The purpose is to model a NonLinear Amplifier, more specifically it is to model the response characteristics of a tube guitar amplifier. Recreate their warm sound. Create a cheap, effective, and eventually marketable computer based model of this phenomenon.
Reason Most solutions to this that other people have created are expensive and of low quality
Page 1 and 2: Modeling NonLinear Amplifiers and
Page 3: Introduction Continued Mathematica
Page 7 and 8: What Is a NonLinear Amplifier
Page 9 and 10: How Does it physically work.
Page 11 and 12: Mathematical Models The functions
Page 13 and 14: Arctan Vout Vin
Page 15 and 16: Linear Gain This is the amount
Page 17 and 18: How well does it work
Page 19 and 20: More
Page 21 and 22: Arctan
Page 23 and 24: Tanh applied
Page 25 and 26: The Complex Exponential and its Fou
Page 27 and 28: Graphical Example
Page 29 and 30: Taylor Expansion of my models
Page 31 and 32: Atan

Modeling Nonlinear Amplifiers

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