Update README.md

Adding ldo_v2.
diff --git a/README.md b/README.md
index 3149f72..12bf18b 100644
--- a/README.md
+++ b/README.md
@@ -3,10 +3,11 @@
 [![License](https://img.shields.io/badge/License-Apache%202.0-blue.svg)](https://opensource.org/licenses/Apache-2.0) [![CI](https://github.com/efabless/caravel_user_project_analog/actions/workflows/user_project_ci.yml/badge.svg)](https://github.com/efabless/caravel_user_project_analog/actions/workflows/user_project_ci.yml) [![Caravan Build](https://github.com/efabless/caravel_user_project_analog/actions/workflows/caravan_build.yml/badge.svg)](https://github.com/efabless/caravel_user_project_analog/actions/workflows/caravan_build.yml)
 
 
-This is a caravel that has an LDO Design implemented on Skywaters 130nm technology.
+This is a caravel that has an LDO Design implemented on Skywaters 130nm technology.We have 2 versions of our LDO. The difference between the 2 versions lies in the bandgap compensation capacitor and the startup circuit.
+
 
 ## Circuit Design
-The implementation of the LDO is as follows
+The implementation of the LDO version 1 is as follows:
 
 ### Schematic
 
@@ -107,3 +108,117 @@
 ```
 
 Refer to [README](docs/source/index.rst) for this sample project documentation. 
+
+
+
+
+The implementation of the LDO version 2 is as follows:
+
+### Schematic
+
+![Image of LDO schematic](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/Testbench_schematic.png)
+
+### Error Amplifier 
+
+![Image of LDO_Error amplifier](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/Error_Amp.png)
+
+### Bandgap
+
+![Image of LDO_BGR](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/bgrv2.png)
+
+
+## LDO Simulation
+
+We have an enable switch so all the following analysis when the enable signal is high.
+
+### a. DC analysis
+
+We used dc analysis for displaying the operating point for proper biasing of transistors and also dc sweep of output voltage against variations in supply and temprature to calculate dropout voltage,line regulation,temperature coefficient.
+
+### Supply variation
+We made dc sweep on the supply and plotted voltage of the output node and vdd node overlaid on the same plot
+@Load current = 0.1mA
+![Image of LDO_Vout_vs_Vin](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/vddsweep100u.png)
+
+@Load current = 10mA
+![Image of LDO_Vout_vs_Vin](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/vddsweep10m.png)
+
+@Load current = 100mA
+![Image of LDO_Vout_vs_Vin](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/vddsweep100m.png)
+
+### Temperature variation
+We made dc sweep on temperature from 0 to 85°C and plotted the output voltage vs temperature from which we found temperature coeffiecient in ppm/°C.
+@Load current = 100uA
+![Image of LDO_Vout_vs_Vin](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/tempvar100u.png)
+
+@Load current = 10mA
+![Image of LDO_Vout_vs_Vin](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/tempvar100u.png)
+
+### c. AC analysis
+#### PSRR
+We used AC analysis by injecting small ac signal over the supply and plotted the output voltage in dB which refers to the PSRR vs Frequency.
+
+![Image of LDO_PSRR](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/psrr50uv2.png)
+### Stability analysis
+We made the above testbench to cut the feedback loop of the ldo and inject ac signal and then measure the loop gain and phase to find phase margin.
+
+### d. Transient analysis
+#### Line Transient 
+We used transient analysis to show the line transient by varying the supply from 0 to vdd where the nominal supply voltage is 2.3v.
+When VDD varies from 0 to 2.3v
+![Image of LDO_Transient](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/tran02.3_v2.png)
+When VDD varies from 2 to 3v
+![Image of LDO_Transient](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/line_tran_v2.png)
+
+#### Load Transient 
+The load is varied from 0.1mA to 10mA where the load is modeled as current source varied as PWL source where the output voltage suffers from under shoot of 40mV due to change of load current from 0.1mA to 10mA in 10uS then it settles back to its original value so we used this analysis to measure the load regulation. 
+
+The plot includes load current variation and ac-coupled ldo_output overlaid on the same plot.
+![Image of LDO_netlist](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/load_transient_ac_coupled.png)
+
+#### Turn-on Characteristic
+We have an enable signal so we varied it from 0 to Vin in 0.1uS and plotted the ldo_out. The start up time is less than 10uS.
+![Image of LDO_netlist](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/stup_50m_v2.png)
+
+### e. Testbench netlist
+![Image of LDO_netlist](https://github.com/mabrains/Analog_blocks/blob/main/Analog_Blocks/LDO/Images/LDO_v2/TB.png)
+
+### Simulation results
+The typical conditions are tt corner ,load of 50uA, T=27°C , VDD=2.3V , We have a script to automate running process corners then getting their statistical distribution where the variation of the load from 50uA till 100mA is included in the corners  
+
+  Specification  |      TT                  
+-----------------| ---------------
+Temperature Coeffiecient   | 49.4 ppm/°C
+Dropout Voltage @IL=0.1mA  | 0.211mV 
+Dropout Voltage @IL=10mA   |  85.6mV @IL=10mA
+Dropout Voltage @IL=100mA  |  168.45mV @IL=100mA
+Line Regulation            | 0.0325 mv/v
+Load Regulation            | 0.06mV    IL=0.1mA till IL=10mA
+PSRR @ 100Hz               | 84.3dB
+PSRR @ 100kHz              | 27dB
+Load range                 | 50uA -> 100mA
+Phase Margin               | 50.1°
+Quiescent Current          | 128uA
+Startup time               | 1.3uS
+
+
+## Layout Design
+
+
+## Analog User Project Documentation
+
+Running LVS command:
+```
+python3 scripts/run_standard_lvs.py gds/ldo_v1/ldo_flattened_f.gds.gz extracted.spi xschem/ldo_v1/ldo_v1_lvs.spice report.lvs ldo_flattened_f
+```
+
+Refer to [README](docs/source/index.rst) for this sample project documentation. 
+
+
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+