soft:cadence:simulations:usefull_calc_formulas
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soft:cadence:simulations:usefull_calc_formulas [2013/12/17 20:40] dominik.przyborowski [DAC simulations] |
soft:cadence:simulations:usefull_calc_formulas [2019/03/08 14:08] (current) |
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| ===== DAC simulations ===== | ===== DAC simulations ===== | ||
| - | - INL calculation from transient ramp: | + | * INL calculation from transient ramp: |
| <code> | <code> | ||
| - | (((abs(value(IT("/R1/MINUS") 7e-07 ?period 1e-06 ?xName "cycle")) - (((ymax(abs(value(IT("/R1/MINUS") 7e-07 ?period 1e-06 ?xName "cycle"))) - ymin(abs(value(IT("/R1/MINUS") 7e-07 ?period 1e-06 ?xName "cycle")))) * (xval(abs(value(IT("/R1/MINUS") 7e-07 ?period 1e-06 ?xName "cycle"))) - 1)) / 127)) + ymin(abs(value(IT("/R1/MINUS") 7e-07 ?period 1e-06 ?xName "cycle")))) / ((ymax(abs(value(IT("/R1/MINUS") 7e-07 ?period 1e-06 ?xName "cycle"))) - ymin(abs(value(IT("/R1/MINUS") 7e-07 ?period 1e-06 ?xName "cycle")))) / 127)) | + | (((abs(value(SIGNAL T_SAMPLE ?period T_PERIOD ?xName "cycle")) - (((ymax(abs(value(SIGNAL T_SAMPLE ?period T_PERIOD ?xName "cycle"))) - ymin(abs(value(SIGNAL T_SAMPLE ?period T_PERIOD ?xName "cycle")))) * (xval(abs(value(SIGNAL T_SAMPLE ?period T_PERIOD ?xName "cycle"))) - 1)) / No_of_STATES)) + ymin(abs(value(SIGNAL T_SAMPLE ?period T_PERIOD ?xName "cycle")))) / ((ymax(abs(value(SIGNAL T_SAMPLE ?period T_PERIOD ?xName "cycle"))) - ymin(abs(value(SIGNAL T_SAMPLE ?period T_PERIOD ?xName "cycle")))) / No_of_STATES)) |
| </code> | </code> | ||
| - | - DNL calculation from transient ramp | + | * DNL calculation from transient ramp |
| <code> | <code> | ||
| - | ((deriv(value(abs(IT("/R1/PLUS")) 7e-07 ?period 1e-06 ?xName "cycle")) / ((ymax(value(abs(IT("/R1/PLUS")) 7e-07 ?period 1e-06 ?xName "cycle")) - ymin(value(abs(IT("/R1/PLUS")) 7e-07 ?period 1e-06 ?xName "cycle"))) / 127)) - 1) | + | ((deriv(value(abs(SIGNAL) T_SAMPLE ?period T_PERIOD ?xName "cycle")) / ((ymax(value(abs(SIGNAL) T_SAMPLE ?period T_PERIOD ?xName "cycle")) - ymin(value(abs(SIGNAL) T_SAMPLE ?period T_PERIOD ?xName "cycle"))) / No_of_STATES)) - 1) |
| </code> | </code> | ||
| + | Where: \\ | ||
| + | SIGNAL - signal name, i.e. **IT("/R0/PLUS")** or **VT("/out_dac")** \\ | ||
| + | T_SAMPLE - time of first sample \\ | ||
| + | T_PERIOD - sampling period \\ | ||
| + | No_of_STATES = 2^N-1 - number of DAC states (for 8 bit DAC it is 255) \\ | ||
| + | |||
| + | ===== CSA ===== | ||
| + | * ENC in electrons | ||
| + | <code> | ||
| + | (rmsNoise(F_MIN F_MAX) / ((ymax(VT("OUTPUT_NODE")) - value(VT("OUTPUT_NODE") 0)) / pv("/INPUT_CHARGE" "value" ?result "variables")) / 1.602e-19) | ||
| + | </code> | ||
| + | * Charge gain | ||
| + | <code>1e-15 * (ymax(VT("OUTPUT_NODE")) - VDC("OUTPUT_NODE")) / pv("/INPUT_CHARGE" "value" ?result "variables")</code> | ||
| + | * Signal FWHM | ||
| + | <code>(cross(((100 * ((- VT("OUTPUT_NODE")) + value(VT("OUTPUT_NODE") 0))) / ((- ymin(VT("OUTPUT_NODE"))) + value(VT("OUTPUT_NODE") 0))) 50 1 "falling" nil nil) - cross(((100 * ((- VT("OUTPUT_NODE")) + value(VT("OUTPUT_NODE") 0))) / ((- ymin(VT("OUTPUT_NODE"))) + value(VT("OUTPUT_NODE") 0))) 50 1 "rising" nil nil))</code> | ||
| + | Where: \\ | ||
| + | F_MIN, F_MAX - frequency range for noise simulation \\ | ||
| + | OUTPUT_NODE - output node of CSA \\ | ||
| + | INPUT_CHARGE - variable containing input charge value \\ | ||
| + | |||
| + | ===== AC amplifiers ===== | ||
| + | * Gain--Bandwidth Product | ||
| + | <code>bandwidth(VF("/out_ac") dB20(abs(value(VF("/out_ac") 0))) "low")</code> | ||
| + | <code>cross(dB20(VF("/out_ac")) 0 1 "either" nil nil)</code> | ||
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