Difference between revisions of "MATLAB amplifier in detail"

Revision as of 15:56, 2 July 2007

The model of the SiPM amplifier is a system of 24 equations in 24 variables that has been linearized so that it can be solved by MATLAB.

Parameters and variables

The MATLAB model has a number of parameters and variables to describe the amplifier circuit, including the 24 unknowns, 4 inputs, and numerous constants.

Input parameters

There are four input parameters:

Input current: $I_{in}$ (A)
Bias voltage: $V_{b}$ (V)
Power voltage: $V_{c}$ (V)
Frequency: $f$ (Hz)

Unknown variables

There are twenty-four unknown variables. The locations (and directions in the case of currents) are labeled on the circuit diagram.

Node voltages: $V_{1}$ $V_{1}$ , $V_{2}$ $V_{2}$ , $V_{3}$ $V_{3}$ , $V_{4}$ $V_{4}$ , $V_{5}$ $V_{5}$ , $V_{7}$ $V_{7}$ , $V_{out}$ $V_{out}$
- Note: there is no $V_{6}$ on this circuit; it was a redundant variable with $V_{c}$ .
Resistor currents: $I_{1}$ , $I_{2}$ , $I_{3}$ , $I_{4}$ , $I_{5}$ , $I_{6}$ , $I_{7}$ , $I_{t}$
Transistor currents: $j_{b}$ , $j_{c}$ , $j_{e}$ , $k_{b}$ , $k_{c}$ , $k_{e}$
Capacitor currents: $h_{1}$ , $h_{2}$ , $h_{3}$

@@ Line 17: / Line 17: @@
 There are twenty-four unknown variables.  The locations (and directions in the case of currents) are labeled on the circuit diagram.
 * Node voltages: <math>V_1</math>, <math>V_2</math>, <math>V_3</math>, <math>V_4</math>, <math>V_5</math>, <math>V_7</math>, <math>V_{out}</math>
-* * Note: there is no <math>V_6</math> on this circuit; it was a redundant variable with <math>V_c</math>.
+** Note: there is no <math>V_6</math> on this circuit; it was a redundant variable with <math>V_c</math>.
+* Resistor currents: <math>I_1</math>, <math>I_2</math>, <math>I_3</math>, <math>I_4</math>, <math>I_5</math>, <math>I_6</math>, <math>I_7</math>, <math>I_t</math>
+* Transistor currents: <math>j_b</math>, <math>j_c</math>, <math>j_e</math>, <math>k_b</math>, <math>k_c</math>, <math>k_e</math>
+* Capacitor currents: <math>h_1</math>, <math>h_2</math>, <math>h_3</math>

Difference between revisions of "MATLAB amplifier in detail"

Revision as of 15:56, 2 July 2007

Parameters and variables

Input parameters

Unknown variables

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