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Power Estimation and Time Walk Compensation. Time Walk Compensation. TWC. Cdet 2 x kT. Noise 2 =. gm ( Iamp ) x Tsha. TshaMin = Tamp_rise ~ ( Cdet+Cout )/ gm. Th = 6 Noise. Tsha. TW ~ Tsha x Th / Sig = Tsha x 6 Noise/ Sig. Th. Sig. Cdet x Tsha 0.5. TW ~. TW.
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Time Walk Compensation • TWC Cdet2 x kT Noise2 = gm (Iamp) x Tsha TshaMin=Tamp_rise ~ (Cdet+Cout)/gm Th = 6 Noise Tsha TW ~ Tsha x Th/Sig = Tsha x 6 Noise/Sig Th Sig Cdet x Tsha0.5 TW ~ TW gm (Iamp)0.5 x Sig (Cdet+Cout)3/2 TWmin ~ gm (Iamp) x Sig Cf=1 Tsha Vn2= kT/gm Iamp Cdet
Time Walk Compensation • TWC Noise2 = ~ 2 e Ileak x Tsha TshaMin=Tamp_rise ~ (Cdet+Cout)/gm Th = 6 Noise Tsha TW ~ Tsha x Th/Sig = Tsha x 6 Noise/Sig Th Sig Tsha3/2 x Ileak0.5 TW ~ TW Sig (Cdet+Cout)3/2 Ileak0.5 TWmin ~ gm3/2(Iamp) x Sig Cf=1 Tsha Vn2= kT/gm Iamp Cdet
Time Walk Compensation • Comparison: A: Substrate 20 Ohm cm, depleted 15um, Substrate 2 kOhm cm, B: depleted 150um • Signal before irradiation 10x in the case B • After irradiation? • E-field in B 10 weaker, tcol 10 longer, trapping is more probable • Following scenario is possible: Signal A after irradiation 1500e – signal B after irradiation n x 1500e (n << 10) • Capacitance in the case A for narrow pixels: Cfringe + Carea + Celectronics • Capacitance in the case B for narrow pixels: Cfringe + 0 + Celectronics • Capacitance in case B 2x less • Leakage current in case B 10x higher Tsha3/2 x Ileak0.5 TW ~ Sig 100.5 TWminB ~ n Goodif n>3.3
Time Walk Compensation • TWC Slow down Higher amplitude Loweramplitude Slow down
Time Walk Compensation • Noise=8.8mV, Thr=55mV, Bias current=10uA, CompCur = 2+2.5+1, Pixel size = 50x250um (25x200), Ifoll=10, power 360mW/cm2 (amp:200mW) Max 3600e:468ns 3600e TW 62ns TW 62ns Max 900e:408ns 900e
Time Walk Compensation • Noise=8.8mV, Thr=55mV, Bias current=10uA, CompCur = 2+2.5+1, Pixel size = 50x250um (25x200), Ifoll=10, power 360mW/cm2 (amp:200mW) 3600e 900e TW 4ns
Time Walk Compensation • Noise=8.0mV, Thr=55mV, Bias current=10uA, CompCur = 2+2.5+1, Pixel size = 50x500um (25x450), Ifoll=7, power 180mW/cm2(amp:100mW) 3600e TW 75ns 900e
Time Walk Compensation • Noise=8.0mV, Thr=55mV, Bias current=10uA, CompCur = 2+2.5+1, Pixel size = 50x500um (25x450), Ifoll=7, power 180mW/cm2 (amp:100mW) 3600e 900e TW 5ns
Time Walk Compensation • Noise=7.9mV, Thr=55mV, Bias current=5uA, CompCur = 2+2.5+1, Pixel size = 50x500um (25x450), Ifoll=5, power 130mW/cm2(amp:50mW) 3600e TW 116ns 900e
Time Walk Compensation • Noise=7.9mV, Thr=55mV, Bias current=5uA, CompCur = 2+2.5+1, Pixel size = 50x500um (25x450), Ifoll=5, power 130mW/cm2(amp:50mW) 900e 3600e TW 8ns