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In                        Out

           Circuit




      Ideal Scenario




                          Out
In

          Circuit




     Practical Scenario
Out
           In

                                        Circuit




                                  Practical Scenario


Due to the behavioral aspects of the passive components (R,L,C), the ideal characteristics
of the circuits are affected.

To understand this behavior, let’s focus on below mentioned terms

1. Noise Margin
2. Switching Activity of CMOS
Noise Margin



1. Noise margin is the amount of noise that a CMOS
   circuit could withstand without compromising the
   operation of circuit.

2. Noise margin does makes sure that any signal which
   is logic '1' with finite noise added to it, is still
   recognized as logic '1' and not logic '0'.

3. It is basically the difference between signal value and
   the noise value




     3/2/2013                                                3
0                1




Let’s Begin with a example, Consider a Inverter
0/1             1/0




Input and Output of an Inverter
0/1              1/0




Vout




  0                    Vin


       I/O Characteristic of a Inverter
0/1              1/0




Vout

Vdd




  0    Vdd/2              Vdd Vin


               Ideal I/O Characteristic of a Inverter
0/1              1/0




Vout
                    Infinite Slope
Vdd




  0      Vdd/2              Vdd Vin


       Ideal I/O Characteristic of a Inverter with Infinite Slope
0/1               1/0




Vout                               Vout
                 Infinite Slope
Vdd                                Vdd




  0    Vdd/2             Vdd Vin                        Vdd/2      Vdd Vin


       Actual I/O Characteristic of a Inverter with Finite Slope
0/1               1/0




Vout                               Vout
                 Infinite Slope                           Finite Slope
Vdd                                Vdd




  0    Vdd/2             Vdd Vin                        Vdd/2            Vdd Vin


       Actual I/O Characteristic of a Inverter with Finite Slope
0/1                1/0




Vout                                       Vout
                         Infinite Slope                           Finite Slope
Vdd                                        Vdd




                                             VOL
  0           Vdd/2              Vdd Vin                        Vdd/2              Vdd Vin
                                                         VIL              VIH

                              VIL is Input Low Voltage
       => Any input voltage level between 0 and VIL will be treated as logic ‘0’
0/1               1/0




Vout                                        Vout
                          Infinite Slope                          Finite Slope
Vdd                                         Vdd




                                             VOL
  0            Vdd/2              Vdd Vin                       Vdd/2               Vdd Vin
                                                         VIL              VIH

                              VOL is Output Low Voltage
       => Any output voltage level between 0 and VOL will be treated as logic ‘0’
0/1                1/0




Vout                                        Vout
                          Infinite Slope                          Finite Slope
Vdd                                         Vdd




                                              VOL
  0             Vdd/2             Vdd Vin                       Vdd/2               Vdd Vin
                                                          VIL              VIH

                                VIH is Input High Voltage
       =>Any input voltage level between VIH and VDD will be treated as logic ‘1’
0/1               1/0




Vout                                         Vout
                           Infinite Slope                         Finite Slope
Vdd                                          Vdd
                                             VOH




                                              VOL
  0              Vdd/2             Vdd Vin                      Vdd/2                Vdd Vin
                                                          VIL              VIH

                               VOH is Output High Voltage
       =>Any output voltage level between VOH and VDD will be treated as logic ‘1’
0/1                1/0




Vout                               Vout
                                                        Finite Slope
Vdd                                Vdd
                                   VOH




                                     VOL
  0    Vdd/2             Vdd Vin                       Vdd/2           Vdd Vin
                                                 VIL            VIH

       Actual I/O Characteristic of a Inverter
0/1                1/0




Vout                               Vout
                                                        Finite Slope
Vdd                                Vdd
                                   VOH




                                     VOL
  0                      Vdd Vin                       Vdd/2           Vdd Vin
                                                 VIL            VIH

       Actual I/O Characteristic of a Inverter
0/1                1/0




Vout                               Vout
                                                        Finite Slope
Vdd                                Vdd
                                   VOH




                                     VOL
  0                      Vdd Vin                       Vdd/2           Vdd Vin
                                                 VIL            VIH

       Actual I/O Characteristic of a Inverter
0/1                1/0




Vout                                     Vout
                                                              Finite Slope
Vdd                                      Vdd
                                         VOH




                                           VOL
  0    VIL                     Vdd Vin                       Vdd/2           Vdd Vin
                                                       VIL            VIH

             Actual I/O Characteristic of a Inverter
0/1                1/0




Vout                                     Vout
                                                              Finite Slope
Vdd                                      Vdd
                                         VOH




                                           VOL
  0    VIL       VIH           Vdd Vin                       Vdd/2           Vdd Vin
                                                       VIL            VIH

             Actual I/O Characteristic of a Inverter
0/1                1/0




Vout                                     Vout
                                                              Finite Slope
Vdd                                      Vdd
                                         VOH




 VOL                                       VOL
  0    VIL       VIH           Vdd Vin                       Vdd/2           Vdd Vin
                                                       VIL            VIH

             Actual I/O Characteristic of a Inverter
0/1                1/0




Vout                                     Vout
                                                              Finite Slope
Vdd                                      Vdd
                                         VOH
VOH




 VOL                                       VOL
  0    VIL       VIH           Vdd Vin                       Vdd/2           Vdd Vin
                                                       VIL            VIH

             Actual I/O Characteristic of a Inverter
0/1               1/0




Vout                                       Vout
                                                               Finite Slope
Vdd            Slope = -1                  Vdd
                                           VOH
VOH



                            Slope = -1




 VOL                                        VOL
  0    VIL       VIH             Vdd Vin                      Vdd/2           Vdd Vin
                                                        VIL            VIH

             Actual I/O Characteristic of a Inverter
0/1            1/0




Vout

Vdd            Slope = -1

VOH



                            Slope = -1




 VOL
  0    VIL       VIH             Vdd Vin


             I/O Characteristic plotted on Scale
0/1            1/0




Vout

Vdd            Slope = -1

VOH



                            Slope = -1




 VOL
  0    VIL       VIH             Vdd Vin


             I/O Characteristic plotted on Scale
0/1            1/0




Vout                                                 Vdd

Vdd            Slope = -1

VOH



                            Slope = -1




 VOL
  0                                                  0
       VIL       VIH             Vdd Vin


             I/O Characteristic plotted on Scale
0/1            1/0




Vout                                                       Vdd
                                                     VOH
Vdd            Slope = -1

VOH



                            Slope = -1




 VOL
  0                                                        0
       VIL       VIH             Vdd Vin


             I/O Characteristic plotted on Scale
0/1            1/0




Vout                                                       Vdd
                                                     VOH
Vdd            Slope = -1
                                                     VIH
VOH



                            Slope = -1




 VOL
  0                                                        0
       VIL       VIH             Vdd Vin


             I/O Characteristic plotted on Scale
0/1            1/0




Vout                                                       Vdd
                                                     VOH
Vdd            Slope = -1
                                                     VIH
VOH



                            Slope = -1

                                                     VIL

 VOL
  0                                                        0
       VIL       VIH             Vdd Vin


             I/O Characteristic plotted on Scale
0/1            1/0




Vout                                                       Vdd
                                                     VOH
Vdd            Slope = -1
                                                     VIH
VOH



                            Slope = -1

                                                     VIL

                                                     VOL
 VOL
  0                                                        0
       VIL       VIH             Vdd Vin


             I/O Characteristic plotted on Scale
0/1            1/0




Vout                                                       Vdd
                                                     VOH
Vdd            Slope = -1
                                                     VIH
VOH



                            Slope = -1

                                                     VIL

                                                     VOL
 VOL
  0                                                        0
       VIL       VIH             Vdd Vin


             I/O Characteristic plotted on Scale
0/1            1/0




Vout                                                       Vdd
                                                     VOH
Vdd            Slope = -1                                        NMH
                                                     VIH         Noise Margin High
VOH



                            Slope = -1

                                                     VIL

                                                     VOL
 VOL
  0                                                        0
       VIL       VIH             Vdd Vin


                          NMH is the Noise Margin High
         => Any voltage level in “NMH” range will be detected as logic ‘1’
0/1            1/0




Vout                                                       Vdd
                                                     VOH
Vdd            Slope = -1                                        NMH
                                                     VIH         Noise Margin High
VOH



                            Slope = -1

                                                     VIL         NML
                                                                 Noise Margin Low
                                                     VOL
 VOL
  0                                                        0
       VIL       VIH             Vdd Vin


                          NML is the Noise Margin Low
         => Any voltage level in “NML” range will be detected as logic ‘0’
0/1                1/0




Vout                                                         Vdd
                                                       VOH
Vdd          Slope = -1                                            NMH
                                                       VIH         Noise Margin High
VOH



                          Slope = -1

                                                       VIL         NML
                                                                   Noise Margin Low
                                                       VOL
 VOL
  0                                                          0
       VIL     VIH             Vdd Vin

                               NMH = VOH - VIH

                               NML = VIL - VOL
0/1             1/0




Vout                                                           Vdd
                                                         VOH
Vdd               Slope = -1                                         NMH
                                                         VIH         Noise Margin High
VOH

                                                                      Undefined
                                                                      Region
                               Slope = -1

                                                         VIL         NML
                                                                     Noise Margin Low
                                                         VOL
 VOL
  0                                                            0
       VIL           VIH            Vdd Vin


             Any Signal in ‘Undefined Region’ will be indefinite logic level
Noise Margin Summary




For any signal to be considered as logic ‘0’ and logic ‘1’, it should be in the NML and
NMH ranges, respectively
   3/2/2013                                                                               35

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Static Noise margin

  • 1. In Out Circuit Ideal Scenario Out In Circuit Practical Scenario
  • 2. Out In Circuit Practical Scenario Due to the behavioral aspects of the passive components (R,L,C), the ideal characteristics of the circuits are affected. To understand this behavior, let’s focus on below mentioned terms 1. Noise Margin 2. Switching Activity of CMOS
  • 3. Noise Margin 1. Noise margin is the amount of noise that a CMOS circuit could withstand without compromising the operation of circuit. 2. Noise margin does makes sure that any signal which is logic '1' with finite noise added to it, is still recognized as logic '1' and not logic '0'. 3. It is basically the difference between signal value and the noise value 3/2/2013 3
  • 4. 0 1 Let’s Begin with a example, Consider a Inverter
  • 5. 0/1 1/0 Input and Output of an Inverter
  • 6. 0/1 1/0 Vout 0 Vin I/O Characteristic of a Inverter
  • 7. 0/1 1/0 Vout Vdd 0 Vdd/2 Vdd Vin Ideal I/O Characteristic of a Inverter
  • 8. 0/1 1/0 Vout Infinite Slope Vdd 0 Vdd/2 Vdd Vin Ideal I/O Characteristic of a Inverter with Infinite Slope
  • 9. 0/1 1/0 Vout Vout Infinite Slope Vdd Vdd 0 Vdd/2 Vdd Vin Vdd/2 Vdd Vin Actual I/O Characteristic of a Inverter with Finite Slope
  • 10. 0/1 1/0 Vout Vout Infinite Slope Finite Slope Vdd Vdd 0 Vdd/2 Vdd Vin Vdd/2 Vdd Vin Actual I/O Characteristic of a Inverter with Finite Slope
  • 11. 0/1 1/0 Vout Vout Infinite Slope Finite Slope Vdd Vdd VOL 0 Vdd/2 Vdd Vin Vdd/2 Vdd Vin VIL VIH VIL is Input Low Voltage => Any input voltage level between 0 and VIL will be treated as logic ‘0’
  • 12. 0/1 1/0 Vout Vout Infinite Slope Finite Slope Vdd Vdd VOL 0 Vdd/2 Vdd Vin Vdd/2 Vdd Vin VIL VIH VOL is Output Low Voltage => Any output voltage level between 0 and VOL will be treated as logic ‘0’
  • 13. 0/1 1/0 Vout Vout Infinite Slope Finite Slope Vdd Vdd VOL 0 Vdd/2 Vdd Vin Vdd/2 Vdd Vin VIL VIH VIH is Input High Voltage =>Any input voltage level between VIH and VDD will be treated as logic ‘1’
  • 14. 0/1 1/0 Vout Vout Infinite Slope Finite Slope Vdd Vdd VOH VOL 0 Vdd/2 Vdd Vin Vdd/2 Vdd Vin VIL VIH VOH is Output High Voltage =>Any output voltage level between VOH and VDD will be treated as logic ‘1’
  • 15. 0/1 1/0 Vout Vout Finite Slope Vdd Vdd VOH VOL 0 Vdd/2 Vdd Vin Vdd/2 Vdd Vin VIL VIH Actual I/O Characteristic of a Inverter
  • 16. 0/1 1/0 Vout Vout Finite Slope Vdd Vdd VOH VOL 0 Vdd Vin Vdd/2 Vdd Vin VIL VIH Actual I/O Characteristic of a Inverter
  • 17. 0/1 1/0 Vout Vout Finite Slope Vdd Vdd VOH VOL 0 Vdd Vin Vdd/2 Vdd Vin VIL VIH Actual I/O Characteristic of a Inverter
  • 18. 0/1 1/0 Vout Vout Finite Slope Vdd Vdd VOH VOL 0 VIL Vdd Vin Vdd/2 Vdd Vin VIL VIH Actual I/O Characteristic of a Inverter
  • 19. 0/1 1/0 Vout Vout Finite Slope Vdd Vdd VOH VOL 0 VIL VIH Vdd Vin Vdd/2 Vdd Vin VIL VIH Actual I/O Characteristic of a Inverter
  • 20. 0/1 1/0 Vout Vout Finite Slope Vdd Vdd VOH VOL VOL 0 VIL VIH Vdd Vin Vdd/2 Vdd Vin VIL VIH Actual I/O Characteristic of a Inverter
  • 21. 0/1 1/0 Vout Vout Finite Slope Vdd Vdd VOH VOH VOL VOL 0 VIL VIH Vdd Vin Vdd/2 Vdd Vin VIL VIH Actual I/O Characteristic of a Inverter
  • 22. 0/1 1/0 Vout Vout Finite Slope Vdd Slope = -1 Vdd VOH VOH Slope = -1 VOL VOL 0 VIL VIH Vdd Vin Vdd/2 Vdd Vin VIL VIH Actual I/O Characteristic of a Inverter
  • 23. 0/1 1/0 Vout Vdd Slope = -1 VOH Slope = -1 VOL 0 VIL VIH Vdd Vin I/O Characteristic plotted on Scale
  • 24. 0/1 1/0 Vout Vdd Slope = -1 VOH Slope = -1 VOL 0 VIL VIH Vdd Vin I/O Characteristic plotted on Scale
  • 25. 0/1 1/0 Vout Vdd Vdd Slope = -1 VOH Slope = -1 VOL 0 0 VIL VIH Vdd Vin I/O Characteristic plotted on Scale
  • 26. 0/1 1/0 Vout Vdd VOH Vdd Slope = -1 VOH Slope = -1 VOL 0 0 VIL VIH Vdd Vin I/O Characteristic plotted on Scale
  • 27. 0/1 1/0 Vout Vdd VOH Vdd Slope = -1 VIH VOH Slope = -1 VOL 0 0 VIL VIH Vdd Vin I/O Characteristic plotted on Scale
  • 28. 0/1 1/0 Vout Vdd VOH Vdd Slope = -1 VIH VOH Slope = -1 VIL VOL 0 0 VIL VIH Vdd Vin I/O Characteristic plotted on Scale
  • 29. 0/1 1/0 Vout Vdd VOH Vdd Slope = -1 VIH VOH Slope = -1 VIL VOL VOL 0 0 VIL VIH Vdd Vin I/O Characteristic plotted on Scale
  • 30. 0/1 1/0 Vout Vdd VOH Vdd Slope = -1 VIH VOH Slope = -1 VIL VOL VOL 0 0 VIL VIH Vdd Vin I/O Characteristic plotted on Scale
  • 31. 0/1 1/0 Vout Vdd VOH Vdd Slope = -1 NMH VIH Noise Margin High VOH Slope = -1 VIL VOL VOL 0 0 VIL VIH Vdd Vin NMH is the Noise Margin High => Any voltage level in “NMH” range will be detected as logic ‘1’
  • 32. 0/1 1/0 Vout Vdd VOH Vdd Slope = -1 NMH VIH Noise Margin High VOH Slope = -1 VIL NML Noise Margin Low VOL VOL 0 0 VIL VIH Vdd Vin NML is the Noise Margin Low => Any voltage level in “NML” range will be detected as logic ‘0’
  • 33. 0/1 1/0 Vout Vdd VOH Vdd Slope = -1 NMH VIH Noise Margin High VOH Slope = -1 VIL NML Noise Margin Low VOL VOL 0 0 VIL VIH Vdd Vin NMH = VOH - VIH NML = VIL - VOL
  • 34. 0/1 1/0 Vout Vdd VOH Vdd Slope = -1 NMH VIH Noise Margin High VOH Undefined Region Slope = -1 VIL NML Noise Margin Low VOL VOL 0 0 VIL VIH Vdd Vin Any Signal in ‘Undefined Region’ will be indefinite logic level
  • 35. Noise Margin Summary For any signal to be considered as logic ‘0’ and logic ‘1’, it should be in the NML and NMH ranges, respectively 3/2/2013 35