"Finding optimum with different widths"

Finding optimum with different widths

Since an optimum can be discovered for the noise performance per transistor design, a list of widths have been evaluated to find the fitting lenghts and drain currents. From this, list, a final design can be selected.

Noise, W = 9.0e-4

Table: Parameter definitions in 'Assignment 5 - Input stage design'.
NameSymbolicNumeric
$AF_{N18}$$0.85$$0.85$
$CGBO_{N18}$$1.0 \cdot 10^{-12}$$1.0 \cdot 10^{-12}$
$CGSO_{N18}$$4.6 \cdot 10^{-10}$$4.6 \cdot 10^{-10}$
$CJB_{0 N18}$$0.001$$0.001$
$C_{A}$$1.0 \cdot 10^{-11}$$1.0 \cdot 10^{-11}$
$C_{OX N18}$$\frac{\epsilon_{0} \epsilon_{SiO2}}{TOX_{N18}}$$0.008633$
$C_{f}$$5.0 \cdot 10^{-12}$$5.0 \cdot 10^{-12}$
$E_{CRIT N18}$$3.5 \cdot 10^{6}$$3.5 \cdot 10^{6}$
$ID$$0.002129$$0.002129$
$IG$$0$$0$
$I_{0 N18}$$2 C_{OX N18} N_{s N18} U_{T}^{2} u_{0 N18}$$1.439 \cdot 10^{-6}$
$KF_{N18}$$3.0 \cdot 10^{-25}$$3.0 \cdot 10^{-25}$
$L$$2.736 \cdot 10^{-6}$$2.736 \cdot 10^{-6}$
$LDS_{N18}$$1.8 \cdot 10^{-7}$$1.8 \cdot 10^{-7}$
$L_{A}$$0.5$$0.5$
$N_{s N18}$$1.45$$1.45$
$T$$300$$300.0$
$TOX_{N18}$$4.0 \cdot 10^{-9}$$4.0 \cdot 10^{-9}$
$\Theta_{N18}$$0.28$$0.28$
$U_{T}$$\frac{T k}{q}$$0.02585$
$W$$0.0009$$0.0009$
$c$$2.998 \cdot 10^{8}$$2.998 \cdot 10^{8}$
$\epsilon_{0}$$\frac{1}{c^{2} \mu_{0}}$$8.854 \cdot 10^{-12}$
$\epsilon_{SiO2}$$3.9$$3.9$
$k$$1.381 \cdot 10^{-23}$$1.381 \cdot 10^{-23}$
$\mu_{0}$$4.0 \cdot 10^{-7} \pi$$1.257 \cdot 10^{-6}$
$q$$1.602 \cdot 10^{-19}$$1.602 \cdot 10^{-19}$
$u_{0 N18}$$0.086$$0.086$
$IC_{CRIT XU1}$$\frac{1}{16 N_{s N18}^{2} U_{T}^{2} \left(\Theta_{N18} + \frac{1}{E_{CRIT N18} L}\right)^{2}}$$301.0$
$IC_{XU1}$$IC_{i XU1} \left(1 + \frac{IC_{i XU1}}{2 IC_{CRIT XU1}}\right)^{0.5}$$4.514$
$IC_{i XU1}$$\frac{ID L}{I_{0 N18} W}$$4.497$
$R_{N XU1}$$\frac{IC_{XU1} + 1}{N_{s N18} g_{m XU1} \left(\frac{2 IC_{XU1}}{3} + \frac{1}{2}\right)}$$49.22$
$c_{db XU1}$$CJB_{0 N18} LDS_{N18} W$$1.62 \cdot 10^{-13}$
$c_{dg XU1}$$CGSO_{N18} W$$4.14 \cdot 10^{-13}$
$c_{gb XU1}$$2 CGBO_{N18} L + \frac{C_{OX N18} L W \left(N_{s N18} - 1\right)}{3 N_{s N18}}$$2.199 \cdot 10^{-12}$
$c_{gs XU1}$$CGSO_{N18} W + \frac{2 C_{OX N18} L W}{3}$$1.459 \cdot 10^{-11}$
$c_{iss XU1}$$c_{dg XU1} + c_{gb XU1} + c_{gs XU1}$$1.72 \cdot 10^{-11}$
$f_{T XU1}$$\frac{g_{m XU1}}{2 \pi c_{iss XU1}}$$2.037 \cdot 10^{8}$
$f_{\ell XU1}$$\frac{KF_{N18} R_{N XU1} g_{m XU1}^{2}}{4 C_{OX N18} L T W k}$$2.032 \cdot 10^{4}$
$g_{m XU1}$$\frac{ID}{N_{s N18} U_{T} \sqrt{IC_{XU1} \left(1 + \frac{IC_{XU1}}{IC_{CRIT XU1}}\right) + 0.5 \sqrt{IC_{XU1} \left(1 + \frac{IC_{XU1}}{IC_{CRIT XU1}}\right)} + 1}}$$0.02202$
Table: Element data of expanded netlist 'Assignment 5 - Input stage design'
RefDesNodesRefsModelParamSymbolicNumeric
C1N002 P001 C value$C_{A}$$1.0 \cdot 10^{-11}$
C20 N002 C value$C_{f}$$5.0 \cdot 10^{-12}$
E1P001 0 N001 0 E value$L_{A}$$0.5$
F1_XU1N002 0 10_XU1 0 F value$\frac{0.1592 s}{f_{T XU1}}$$7.812 \cdot 10^{-10} s$
H1_XU1N002 out 1_XU1 10_XU1 H value$\frac{1}{g_{m XU1}}$$45.42$
I1_XU10 1_XU1 I value$0$$0$
noise$\frac{4 T k \left(\left(\frac{f_{\ell XU1}}{f}\right)^{AF_{N18}} + 1\right)}{R_{N XU1}}$$1.545 \cdot 10^{-18} \left(\frac{1}{f}\right)^{0.85} + 3.366 \cdot 10^{-22}$
I2_XU1N002 0 I value$0$$0$
noise$2 IG q$$0$
V1N001 0 V value$0$$0$
dc$0$$0$
dcvar$0$$0$
noise$0$$0$

Numeric noise analysis results

Detector-referred noise spectrum

$$S_{out}=\frac{1.469 \cdot 10^{-14}}{f^{0.85}} + 3.2 \cdot 10^{-18}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Source-referred noise spectrum

$$S_{in}=\frac{1.322 \cdot 10^{-13}}{f^{0.85}} + 2.88 \cdot 10^{-17}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Contributions of individual noise sources

Noise source: I1_XU1
Spectral density:$1.545 \cdot 10^{-18} \left(\frac{1}{f}\right)^{0.85} + 3.366 \cdot 10^{-22}$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$\frac{1.469 \cdot 10^{-14}}{f^{0.85}} + 3.2 \cdot 10^{-18}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$\frac{1.322 \cdot 10^{-13}}{f^{0.85}} + 2.88 \cdot 10^{-17}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: I2_XU1
Spectral density:$0$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: V1
Spectral density:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Detector-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$

Noise, W = 7.0e-4

Table: Parameter definitions in 'Assignment 5 - Input stage design'.
NameSymbolicNumeric
$AF_{N18}$$0.85$$0.85$
$CGBO_{N18}$$1.0 \cdot 10^{-12}$$1.0 \cdot 10^{-12}$
$CGSO_{N18}$$4.6 \cdot 10^{-10}$$4.6 \cdot 10^{-10}$
$CJB_{0 N18}$$0.001$$0.001$
$C_{A}$$1.0 \cdot 10^{-11}$$1.0 \cdot 10^{-11}$
$C_{OX N18}$$\frac{\epsilon_{0} \epsilon_{SiO2}}{TOX_{N18}}$$0.008633$
$C_{f}$$5.0 \cdot 10^{-12}$$5.0 \cdot 10^{-12}$
$E_{CRIT N18}$$3.5 \cdot 10^{6}$$3.5 \cdot 10^{6}$
$ID$$0.003251$$0.003251$
$IG$$0$$0$
$I_{0 N18}$$2 C_{OX N18} N_{s N18} U_{T}^{2} u_{0 N18}$$1.439 \cdot 10^{-6}$
$KF_{N18}$$3.0 \cdot 10^{-25}$$3.0 \cdot 10^{-25}$
$L$$3.563 \cdot 10^{-6}$$3.563 \cdot 10^{-6}$
$LDS_{N18}$$1.8 \cdot 10^{-7}$$1.8 \cdot 10^{-7}$
$L_{A}$$0.5$$0.5$
$N_{s N18}$$1.45$$1.45$
$T$$300$$300.0$
$TOX_{N18}$$4.0 \cdot 10^{-9}$$4.0 \cdot 10^{-9}$
$\Theta_{N18}$$0.28$$0.28$
$U_{T}$$\frac{T k}{q}$$0.02585$
$W$$0.0007$$0.0007$
$c$$2.998 \cdot 10^{8}$$2.998 \cdot 10^{8}$
$\epsilon_{0}$$\frac{1}{c^{2} \mu_{0}}$$8.854 \cdot 10^{-12}$
$\epsilon_{SiO2}$$3.9$$3.9$
$k$$1.381 \cdot 10^{-23}$$1.381 \cdot 10^{-23}$
$\mu_{0}$$4.0 \cdot 10^{-7} \pi$$1.257 \cdot 10^{-6}$
$q$$1.602 \cdot 10^{-19}$$1.602 \cdot 10^{-19}$
$u_{0 N18}$$0.086$$0.086$
$IC_{CRIT XU1}$$\frac{1}{16 N_{s N18}^{2} U_{T}^{2} \left(\Theta_{N18} + \frac{1}{E_{CRIT N18} L}\right)^{2}}$$342.9$
$IC_{XU1}$$IC_{i XU1} \left(1 + \frac{IC_{i XU1}}{2 IC_{CRIT XU1}}\right)^{0.5}$$11.6$
$IC_{i XU1}$$\frac{ID L}{I_{0 N18} W}$$11.5$
$R_{N XU1}$$\frac{IC_{XU1} + 1}{N_{s N18} g_{m XU1} \left(\frac{2 IC_{XU1}}{3} + \frac{1}{2}\right)}$$46.69$
$c_{db XU1}$$CJB_{0 N18} LDS_{N18} W$$1.26 \cdot 10^{-13}$
$c_{dg XU1}$$CGSO_{N18} W$$3.22 \cdot 10^{-13}$
$c_{gb XU1}$$2 CGBO_{N18} L + \frac{C_{OX N18} L W \left(N_{s N18} - 1\right)}{3 N_{s N18}}$$2.228 \cdot 10^{-12}$
$c_{gs XU1}$$CGSO_{N18} W + \frac{2 C_{OX N18} L W}{3}$$1.468 \cdot 10^{-11}$
$c_{iss XU1}$$c_{dg XU1} + c_{gb XU1} + c_{gs XU1}$$1.723 \cdot 10^{-11}$
$f_{T XU1}$$\frac{g_{m XU1}}{2 \pi c_{iss XU1}}$$2.088 \cdot 10^{8}$
$f_{\ell XU1}$$\frac{KF_{N18} R_{N XU1} g_{m XU1}^{2}}{4 C_{OX N18} L T W k}$$2.006 \cdot 10^{4}$
$g_{m XU1}$$\frac{ID}{N_{s N18} U_{T} \sqrt{IC_{XU1} \left(1 + \frac{IC_{XU1}}{IC_{CRIT XU1}}\right) + 0.5 \sqrt{IC_{XU1} \left(1 + \frac{IC_{XU1}}{IC_{CRIT XU1}}\right)} + 1}}$$0.0226$
Table: Element data of expanded netlist 'Assignment 5 - Input stage design'
RefDesNodesRefsModelParamSymbolicNumeric
C1N002 P001 C value$C_{A}$$1.0 \cdot 10^{-11}$
C20 N002 C value$C_{f}$$5.0 \cdot 10^{-12}$
E1P001 0 N001 0 E value$L_{A}$$0.5$
F1_XU1N002 0 10_XU1 0 F value$\frac{0.1592 s}{f_{T XU1}}$$7.621 \cdot 10^{-10} s$
H1_XU1N002 out 1_XU1 10_XU1 H value$\frac{1}{g_{m XU1}}$$44.24$
I1_XU10 1_XU1 I value$0$$0$
noise$\frac{4 T k \left(\left(\frac{f_{\ell XU1}}{f}\right)^{AF_{N18}} + 1\right)}{R_{N XU1}}$$1.611 \cdot 10^{-18} \left(\frac{1}{f}\right)^{0.85} + 3.548 \cdot 10^{-22}$
I2_XU1N002 0 I value$0$$0$
noise$2 IG q$$0$
V1N001 0 V value$0$$0$
dc$0$$0$
dcvar$0$$0$
noise$0$$0$

Numeric noise analysis results

Detector-referred noise spectrum

$$S_{out}=\frac{1.455 \cdot 10^{-14}}{f^{0.85}} + 3.206 \cdot 10^{-18}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Source-referred noise spectrum

$$S_{in}=\frac{1.31 \cdot 10^{-13}}{f^{0.85}} + 2.885 \cdot 10^{-17}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Contributions of individual noise sources

Noise source: I1_XU1
Spectral density:$1.611 \cdot 10^{-18} \left(\frac{1}{f}\right)^{0.85} + 3.548 \cdot 10^{-22}$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$\frac{1.455 \cdot 10^{-14}}{f^{0.85}} + 3.206 \cdot 10^{-18}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$\frac{1.31 \cdot 10^{-13}}{f^{0.85}} + 2.885 \cdot 10^{-17}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: I2_XU1
Spectral density:$0$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: V1
Spectral density:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Detector-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$

Noise, W = 6.0e-4

Table: Parameter definitions in 'Assignment 5 - Input stage design'.
NameSymbolicNumeric
$AF_{N18}$$0.85$$0.85$
$CGBO_{N18}$$1.0 \cdot 10^{-12}$$1.0 \cdot 10^{-12}$
$CGSO_{N18}$$4.6 \cdot 10^{-10}$$4.6 \cdot 10^{-10}$
$CJB_{0 N18}$$0.001$$0.001$
$C_{A}$$1.0 \cdot 10^{-11}$$1.0 \cdot 10^{-11}$
$C_{OX N18}$$\frac{\epsilon_{0} \epsilon_{SiO2}}{TOX_{N18}}$$0.008633$
$C_{f}$$5.0 \cdot 10^{-12}$$5.0 \cdot 10^{-12}$
$E_{CRIT N18}$$3.5 \cdot 10^{6}$$3.5 \cdot 10^{6}$
$ID$$0.004369$$0.004369$
$IG$$0$$0$
$I_{0 N18}$$2 C_{OX N18} N_{s N18} U_{T}^{2} u_{0 N18}$$1.439 \cdot 10^{-6}$
$KF_{N18}$$3.0 \cdot 10^{-25}$$3.0 \cdot 10^{-25}$
$L$$4.184 \cdot 10^{-6}$$4.184 \cdot 10^{-6}$
$LDS_{N18}$$1.8 \cdot 10^{-7}$$1.8 \cdot 10^{-7}$
$L_{A}$$0.5$$0.5$
$N_{s N18}$$1.45$$1.45$
$T$$300$$300.0$
$TOX_{N18}$$4.0 \cdot 10^{-9}$$4.0 \cdot 10^{-9}$
$\Theta_{N18}$$0.28$$0.28$
$U_{T}$$\frac{T k}{q}$$0.02585$
$W$$0.0006$$0.0006$
$c$$2.998 \cdot 10^{8}$$2.998 \cdot 10^{8}$
$\epsilon_{0}$$\frac{1}{c^{2} \mu_{0}}$$8.854 \cdot 10^{-12}$
$\epsilon_{SiO2}$$3.9$$3.9$
$k$$1.381 \cdot 10^{-23}$$1.381 \cdot 10^{-23}$
$\mu_{0}$$4.0 \cdot 10^{-7} \pi$$1.257 \cdot 10^{-6}$
$q$$1.602 \cdot 10^{-19}$$1.602 \cdot 10^{-19}$
$u_{0 N18}$$0.086$$0.086$
$IC_{CRIT XU1}$$\frac{1}{16 N_{s N18}^{2} U_{T}^{2} \left(\Theta_{N18} + \frac{1}{E_{CRIT N18} L}\right)^{2}}$$366.7$
$IC_{XU1}$$IC_{i XU1} \left(1 + \frac{IC_{i XU1}}{2 IC_{CRIT XU1}}\right)^{0.5}$$21.48$
$IC_{i XU1}$$\frac{ID L}{I_{0 N18} W}$$21.17$
$R_{N XU1}$$\frac{IC_{XU1} + 1}{N_{s N18} g_{m XU1} \left(\frac{2 IC_{XU1}}{3} + \frac{1}{2}\right)}$$45.87$
$c_{db XU1}$$CJB_{0 N18} LDS_{N18} W$$1.08 \cdot 10^{-13}$
$c_{dg XU1}$$CGSO_{N18} W$$2.76 \cdot 10^{-13}$
$c_{gb XU1}$$2 CGBO_{N18} L + \frac{C_{OX N18} L W \left(N_{s N18} - 1\right)}{3 N_{s N18}}$$2.242 \cdot 10^{-12}$
$c_{gs XU1}$$CGSO_{N18} W + \frac{2 C_{OX N18} L W}{3}$$1.472 \cdot 10^{-11}$
$c_{iss XU1}$$c_{dg XU1} + c_{gb XU1} + c_{gs XU1}$$1.724 \cdot 10^{-11}$
$f_{T XU1}$$\frac{g_{m XU1}}{2 \pi c_{iss XU1}}$$2.105 \cdot 10^{8}$
$f_{\ell XU1}$$\frac{KF_{N18} R_{N XU1} g_{m XU1}^{2}}{4 C_{OX N18} L T W k}$$1.993 \cdot 10^{4}$
$g_{m XU1}$$\frac{ID}{N_{s N18} U_{T} \sqrt{IC_{XU1} \left(1 + \frac{IC_{XU1}}{IC_{CRIT XU1}}\right) + 0.5 \sqrt{IC_{XU1} \left(1 + \frac{IC_{XU1}}{IC_{CRIT XU1}}\right)} + 1}}$$0.02281$
Table: Element data of expanded netlist 'Assignment 5 - Input stage design'
RefDesNodesRefsModelParamSymbolicNumeric
C1N002 P001 C value$C_{A}$$1.0 \cdot 10^{-11}$
C20 N002 C value$C_{f}$$5.0 \cdot 10^{-12}$
E1P001 0 N001 0 E value$L_{A}$$0.5$
F1_XU1N002 0 10_XU1 0 F value$\frac{0.1592 s}{f_{T XU1}}$$7.56 \cdot 10^{-10} s$
H1_XU1N002 out 1_XU1 10_XU1 H value$\frac{1}{g_{m XU1}}$$43.85$
I1_XU10 1_XU1 I value$0$$0$
noise$\frac{4 T k \left(\left(\frac{f_{\ell XU1}}{f}\right)^{AF_{N18}} + 1\right)}{R_{N XU1}}$$1.631 \cdot 10^{-18} \left(\frac{1}{f}\right)^{0.85} + 3.612 \cdot 10^{-22}$
I2_XU1N002 0 I value$0$$0$
noise$2 IG q$$0$
V1N001 0 V value$0$$0$
dc$0$$0$
dcvar$0$$0$
noise$0$$0$

Numeric noise analysis results

Detector-referred noise spectrum

$$S_{out}=\frac{1.449 \cdot 10^{-14}}{f^{0.85}} + 3.208 \cdot 10^{-18}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Source-referred noise spectrum

$$S_{in}=\frac{1.304 \cdot 10^{-13}}{f^{0.85}} + 2.888 \cdot 10^{-17}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Contributions of individual noise sources

Noise source: I1_XU1
Spectral density:$1.631 \cdot 10^{-18} \left(\frac{1}{f}\right)^{0.85} + 3.612 \cdot 10^{-22}$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$\frac{1.449 \cdot 10^{-14}}{f^{0.85}} + 3.208 \cdot 10^{-18}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$\frac{1.304 \cdot 10^{-13}}{f^{0.85}} + 2.888 \cdot 10^{-17}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: I2_XU1
Spectral density:$0$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: V1
Spectral density:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Detector-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$

Noise, W = 4.0e-4

Table: Parameter definitions in 'Assignment 5 - Input stage design'.
NameSymbolicNumeric
$AF_{N18}$$0.85$$0.85$
$CGBO_{N18}$$1.0 \cdot 10^{-12}$$1.0 \cdot 10^{-12}$
$CGSO_{N18}$$4.6 \cdot 10^{-10}$$4.6 \cdot 10^{-10}$
$CJB_{0 N18}$$0.001$$0.001$
$C_{A}$$1.0 \cdot 10^{-11}$$1.0 \cdot 10^{-11}$
$C_{OX N18}$$\frac{\epsilon_{0} \epsilon_{SiO2}}{TOX_{N18}}$$0.008633$
$C_{f}$$5.0 \cdot 10^{-12}$$5.0 \cdot 10^{-12}$
$E_{CRIT N18}$$3.5 \cdot 10^{6}$$3.5 \cdot 10^{6}$
$ID$$0.01249$$0.01249$
$IG$$0$$0$
$I_{0 N18}$$2 C_{OX N18} N_{s N18} U_{T}^{2} u_{0 N18}$$1.439 \cdot 10^{-6}$
$KF_{N18}$$3.0 \cdot 10^{-25}$$3.0 \cdot 10^{-25}$
$L$$6.356 \cdot 10^{-6}$$6.356 \cdot 10^{-6}$
$LDS_{N18}$$1.8 \cdot 10^{-7}$$1.8 \cdot 10^{-7}$
$L_{A}$$0.5$$0.5$
$N_{s N18}$$1.45$$1.45$
$T$$300$$300.0$
$TOX_{N18}$$4.0 \cdot 10^{-9}$$4.0 \cdot 10^{-9}$
$\Theta_{N18}$$0.28$$0.28$
$U_{T}$$\frac{T k}{q}$$0.02585$
$W$$0.0004$$0.0004$
$c$$2.998 \cdot 10^{8}$$2.998 \cdot 10^{8}$
$\epsilon_{0}$$\frac{1}{c^{2} \mu_{0}}$$8.854 \cdot 10^{-12}$
$\epsilon_{SiO2}$$3.9$$3.9$
$k$$1.381 \cdot 10^{-23}$$1.381 \cdot 10^{-23}$
$\mu_{0}$$4.0 \cdot 10^{-7} \pi$$1.257 \cdot 10^{-6}$
$q$$1.602 \cdot 10^{-19}$$1.602 \cdot 10^{-19}$
$u_{0 N18}$$0.086$$0.086$
$IC_{CRIT XU1}$$\frac{1}{16 N_{s N18}^{2} U_{T}^{2} \left(\Theta_{N18} + \frac{1}{E_{CRIT N18} L}\right)^{2}}$$421.2$
$IC_{XU1}$$IC_{i XU1} \left(1 + \frac{IC_{i XU1}}{2 IC_{CRIT XU1}}\right)^{0.5}$$148.8$
$IC_{i XU1}$$\frac{ID L}{I_{0 N18} W}$$137.9$
$R_{N XU1}$$\frac{IC_{XU1} + 1}{N_{s N18} g_{m XU1} \left(\frac{2 IC_{XU1}}{3} + \frac{1}{2}\right)}$$45.01$
$c_{db XU1}$$CJB_{0 N18} LDS_{N18} W$$7.2 \cdot 10^{-14}$
$c_{dg XU1}$$CGSO_{N18} W$$1.84 \cdot 10^{-13}$
$c_{gb XU1}$$2 CGBO_{N18} L + \frac{C_{OX N18} L W \left(N_{s N18} - 1\right)}{3 N_{s N18}}$$2.27 \cdot 10^{-12}$
$c_{gs XU1}$$CGSO_{N18} W + \frac{2 C_{OX N18} L W}{3}$$1.482 \cdot 10^{-11}$
$c_{iss XU1}$$c_{dg XU1} + c_{gb XU1} + c_{gs XU1}$$1.727 \cdot 10^{-11}$
$f_{T XU1}$$\frac{g_{m XU1}}{2 \pi c_{iss XU1}}$$2.122 \cdot 10^{8}$
$f_{\ell XU1}$$\frac{KF_{N18} R_{N XU1} g_{m XU1}^{2}}{4 C_{OX N18} L T W k}$$1.968 \cdot 10^{4}$
$g_{m XU1}$$\frac{ID}{N_{s N18} U_{T} \sqrt{IC_{XU1} \left(1 + \frac{IC_{XU1}}{IC_{CRIT XU1}}\right) + 0.5 \sqrt{IC_{XU1} \left(1 + \frac{IC_{XU1}}{IC_{CRIT XU1}}\right)} + 1}}$$0.02302$
Table: Element data of expanded netlist 'Assignment 5 - Input stage design'
RefDesNodesRefsModelParamSymbolicNumeric
C1N002 P001 C value$C_{A}$$1.0 \cdot 10^{-11}$
C20 N002 C value$C_{f}$$5.0 \cdot 10^{-12}$
E1P001 0 N001 0 E value$L_{A}$$0.5$
F1_XU1N002 0 10_XU1 0 F value$\frac{0.1592 s}{f_{T XU1}}$$7.501 \cdot 10^{-10} s$
H1_XU1N002 out 1_XU1 10_XU1 H value$\frac{1}{g_{m XU1}}$$43.43$
I1_XU10 1_XU1 I value$0$$0$
noise$\frac{4 T k \left(\left(\frac{f_{\ell XU1}}{f}\right)^{AF_{N18}} + 1\right)}{R_{N XU1}}$$1.644 \cdot 10^{-18} \left(\frac{1}{f}\right)^{0.85} + 3.681 \cdot 10^{-22}$
I2_XU1N002 0 I value$0$$0$
noise$2 IG q$$0$
V1N001 0 V value$0$$0$
dc$0$$0$
dcvar$0$$0$
noise$0$$0$

Numeric noise analysis results

Detector-referred noise spectrum

$$S_{out}=\frac{1.436 \cdot 10^{-14}}{f^{0.85}} + 3.214 \cdot 10^{-18}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Source-referred noise spectrum

$$S_{in}=\frac{1.292 \cdot 10^{-13}}{f^{0.85}} + 2.893 \cdot 10^{-17}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Contributions of individual noise sources

Noise source: I1_XU1
Spectral density:$1.644 \cdot 10^{-18} \left(\frac{1}{f}\right)^{0.85} + 3.681 \cdot 10^{-22}$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$\frac{1.436 \cdot 10^{-14}}{f^{0.85}} + 3.214 \cdot 10^{-18}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$\frac{1.292 \cdot 10^{-13}}{f^{0.85}} + 2.893 \cdot 10^{-17}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: I2_XU1
Spectral density:$0$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: V1
Spectral density:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Detector-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$0$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$

Go to Assignment-5---Input-stage-design_index

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Last project update: 2022-01-13 18:09:51