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== MATLAB model ==
 
== MATLAB model ==
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<math>\qquad</math>''Main article: [[MATLAB amplifer in detail]]''
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<math>\qquad </math> ''Main article: [[MATLAB amplifer in detail]]''
    
We developed a model for this circuit in MATLAB to simulate its behavior and study various parameters, especially gain as a function of power voltage.  The Photonique documentation claims that the power voltage can be varied between four and nine volts in order to tune the gain of the amplifier.  The MATLAB model is a linearized system of twenty-four equations, with the voltages and currents on the circuit being the twenty-four unknowns.  There are four input parameters: input current (<math>I_{in}</math>, in amps), the bias voltage (<math>V_b</math>, in volts), the power voltage (<math>V_c</math>, in volts), and the frequency (<math>f</math>, in hertz).  The resistor values are mostly the same as the ones given for the above diagram, except for <math>R_4</math> (now <math>1.2k\Omega</math>) and <math>R_6</math> (now <math>53\Omega</math>).  We also add a load resistor from <math>V_{out}</math> to GND, with a value of <math>50k\Omega</math>.  The transistors are described by a series of parameters from the [http://en.wikipedia.org/wiki/Gummel-Poon_Model Gummel-Poon SPICE model].  For a full discussion of the transistor parameters and the linearized equations used in the MATLAB model,
 
We developed a model for this circuit in MATLAB to simulate its behavior and study various parameters, especially gain as a function of power voltage.  The Photonique documentation claims that the power voltage can be varied between four and nine volts in order to tune the gain of the amplifier.  The MATLAB model is a linearized system of twenty-four equations, with the voltages and currents on the circuit being the twenty-four unknowns.  There are four input parameters: input current (<math>I_{in}</math>, in amps), the bias voltage (<math>V_b</math>, in volts), the power voltage (<math>V_c</math>, in volts), and the frequency (<math>f</math>, in hertz).  The resistor values are mostly the same as the ones given for the above diagram, except for <math>R_4</math> (now <math>1.2k\Omega</math>) and <math>R_6</math> (now <math>53\Omega</math>).  We also add a load resistor from <math>V_{out}</math> to GND, with a value of <math>50k\Omega</math>.  The transistors are described by a series of parameters from the [http://en.wikipedia.org/wiki/Gummel-Poon_Model Gummel-Poon SPICE model].  For a full discussion of the transistor parameters and the linearized equations used in the MATLAB model,
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