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Voltage-Controlled Oscillators

      ECE 453 Final Project

       • Lih Feng Cheow (lc259)
      • Chien Chern Khor (ck245)

            • Sining Qi (sq24)
Introduction
   Voltage-controlled oscillators
       Oscillation frequency function of control voltage
   Implemented 6 VCOs
       3 Ring, 3 LC
       Discuss 5
   Metrics for comparison
       Frequency tuning range
       Output amplitude
       Power consumption
       Linearity of frequency-voltage relationship
Oscillators & Ring Oscillators

               VX = | H ( jω ) | V0 + | H ( jω ) |2 V0 + | H ( jω ) |3 V0 + ...


                | H ( jω ) | ≥ 1
                ∠ H ( jω ) = 180 deg



              • Odd number of gain stages in loop

              • At least 3 stages

              • Must collectively satisfy Barkhausen
                conditions above
Differential Ring Oscillator
with Variable Resistance
Variable Resistance:
      Simulation Waveforms




Vcontrol Range: 0.58 – 1.75 V   Output Amplitude: 0-2.5 V
Tuning Range: 130 MHz – 4.41    Power Consumption: 16.3 mW
GHz
Variable Resistance:
Frequency vs. Control Voltage
                              Frequency vs Control Voltage

                     5

                    4.5

                     4
                    3.5
  Frequency (GHz)




                     3

                    2.5

                     2

                    1.5
                     1

                    0.5

                     0
                          0    0.5             1             1.5   2
                                      Control Voltage (V)
Differential Ring Oscillator
with Delay Interpolation
Delay Interpolation:
Single Stage
Delay Interpolation:
       Simulation Waveforms




Vcontrol Range: 1.25 – 1.75 V   Output Amplitude: 0 – 2.5 V
Tuning Range: 554 MHz – 1.5     Power Consumption: 12.5 mW
GHz
Delay Interpolation:
Frequency vs. Control Voltage
                               Frequency vs Control Voltage

                    1.6


                    1.4


                    1.2
  Frequency (GHz)




                     1


                    0.8


                    0.6


                    0.4
                          1   1.2        1.4         1.6      1.8   2
                                       Control Voltage (V)
Negative Resistance
Negative Resistance:
Cross Coupled Pair
LC Oscillator with
Cross-Coupled NMOS-PMOS
Cross-Coupled NMOS-PMOS:
        Simulation Waveforms




Vcontrol Range: 0 – 1.3 V      Output Amplitude: 0 – 2.5 V

Tuning Range: 2.24 GHz – 2.6   Power Consumption: 3.185 mW
GHz
Cross-Coupled NMOS-PMOS:
Frequency vs. Control Voltage
                                    Frequency vs Control Voltage

                   2.65

                    2.6

                   2.55

                    2.5
  Frequency (Hz)




                   2.45

                    2.4

                   2.35

                    2.3

                   2.25

                    2.2
                          0   0.2   0.4        0.6         0.8     1   1.2   1.4
                                             Control Voltage (V)
LC Oscillator with
Capacitive Source
Degeneration
Capacitive Source Degeneration:
        Simulation Waveforms




Vcontrol Range: 0 – 2.5 V           Output Amplitude: 0 – 2.5 V

Tuning Range: 2.04 GHz – 2.53 GHz   Power Consumption: 7.885 mW
Capacitive Source Degeneration
Frequency vs. Control Voltage
                                   Frequency vs Control Voltage

                   2.6



                   2.5



                   2.4
  Frequency (Hz)




                   2.3



                   2.2



                   2.1



                    2
                         0   0.5           1             1.5      2   2.5
                                           Control Voltage (V)
Differential Ring Oscillator
with Negative Resistance

                        −2
                 RN =
                        gm

                                −1     Rp
                Rout = R p //      =
                                gm 1 − gm Rp


                ↑ I1            ↑ gm    ↑ Rout

                ↑ output time constant           ↓ f osc
Negative Resistance:
Schematic
Negative Resistance:
Simulation Waveforms
                 Vcontrol Range:
                 1.3 – 1.5 V

                 Output Amplitude:
                 0 – 2.5 V

                 Tuning Range:
                 1.2 GHz – 1.9 GHz


                 Power Consumption:
                 7.5 mW
Negative Resistance:
Frequency vs. Control Voltage
                                Frequency vs Control Voltage

                    2

                   1.9

                   1.8

                   1.7
 Frequency (GHz)




                   1.6

                   1.5

                   1.4

                   1.3

                   1.2

                   1.1

                    1
                     0.95   1      1.05           1.1           1.15   1.2   1.25

                                          Control Voltage (V)
Conclusion
    Oscillator Topology              Tuning Range        Vcontrol       Power
                                     (% from center)
 Differential Ring Oscillator with    0.13 – 4.41 GHz   0.58 – 1.75 V   16.3 mW
        Variable Resistor                 (100%)
 Differential Ring Oscillator with    0.55 – 1.5 GHz    1.25 – 1.75 V   12.5 mW
       Delay Interpolation                (46%)
 Differential Ring Oscillator with     1.2 – 1.9 GHz     1.3 – 1.5 V    7.5 mW
      Negative Resistance                 (23%)
        LC Oscillator with            2.16 – 2.82 GHz     0 – 2.2 V     11.41 mW
NMOS Only Cross-coupled Pair              (13%)
        LC Oscillator with            2.24 – 2.6 GHz      0 – 1.3 V     3.185 mW
NMOS-PMOS Cross-coupled Pair               (7%)
        LC Oscillator with            2.04 – 2.53 GHz     0 – 2.5 V     7.885 mW
Capacitive Source Degeneration            (11%)
Questions?

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Voltage controlled oscillators

  • 1. Voltage-Controlled Oscillators ECE 453 Final Project • Lih Feng Cheow (lc259) • Chien Chern Khor (ck245) • Sining Qi (sq24)
  • 2. Introduction  Voltage-controlled oscillators  Oscillation frequency function of control voltage  Implemented 6 VCOs  3 Ring, 3 LC  Discuss 5  Metrics for comparison  Frequency tuning range  Output amplitude  Power consumption  Linearity of frequency-voltage relationship
  • 3. Oscillators & Ring Oscillators VX = | H ( jω ) | V0 + | H ( jω ) |2 V0 + | H ( jω ) |3 V0 + ... | H ( jω ) | ≥ 1 ∠ H ( jω ) = 180 deg • Odd number of gain stages in loop • At least 3 stages • Must collectively satisfy Barkhausen conditions above
  • 4. Differential Ring Oscillator with Variable Resistance
  • 5. Variable Resistance: Simulation Waveforms Vcontrol Range: 0.58 – 1.75 V Output Amplitude: 0-2.5 V Tuning Range: 130 MHz – 4.41 Power Consumption: 16.3 mW GHz
  • 6. Variable Resistance: Frequency vs. Control Voltage Frequency vs Control Voltage 5 4.5 4 3.5 Frequency (GHz) 3 2.5 2 1.5 1 0.5 0 0 0.5 1 1.5 2 Control Voltage (V)
  • 7. Differential Ring Oscillator with Delay Interpolation
  • 9. Delay Interpolation: Simulation Waveforms Vcontrol Range: 1.25 – 1.75 V Output Amplitude: 0 – 2.5 V Tuning Range: 554 MHz – 1.5 Power Consumption: 12.5 mW GHz
  • 10. Delay Interpolation: Frequency vs. Control Voltage Frequency vs Control Voltage 1.6 1.4 1.2 Frequency (GHz) 1 0.8 0.6 0.4 1 1.2 1.4 1.6 1.8 2 Control Voltage (V)
  • 14. Cross-Coupled NMOS-PMOS: Simulation Waveforms Vcontrol Range: 0 – 1.3 V Output Amplitude: 0 – 2.5 V Tuning Range: 2.24 GHz – 2.6 Power Consumption: 3.185 mW GHz
  • 15. Cross-Coupled NMOS-PMOS: Frequency vs. Control Voltage Frequency vs Control Voltage 2.65 2.6 2.55 2.5 Frequency (Hz) 2.45 2.4 2.35 2.3 2.25 2.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Control Voltage (V)
  • 16. LC Oscillator with Capacitive Source Degeneration
  • 17. Capacitive Source Degeneration: Simulation Waveforms Vcontrol Range: 0 – 2.5 V Output Amplitude: 0 – 2.5 V Tuning Range: 2.04 GHz – 2.53 GHz Power Consumption: 7.885 mW
  • 18. Capacitive Source Degeneration Frequency vs. Control Voltage Frequency vs Control Voltage 2.6 2.5 2.4 Frequency (Hz) 2.3 2.2 2.1 2 0 0.5 1 1.5 2 2.5 Control Voltage (V)
  • 19. Differential Ring Oscillator with Negative Resistance −2 RN = gm −1 Rp Rout = R p // = gm 1 − gm Rp ↑ I1 ↑ gm ↑ Rout ↑ output time constant ↓ f osc
  • 21. Negative Resistance: Simulation Waveforms Vcontrol Range: 1.3 – 1.5 V Output Amplitude: 0 – 2.5 V Tuning Range: 1.2 GHz – 1.9 GHz Power Consumption: 7.5 mW
  • 22. Negative Resistance: Frequency vs. Control Voltage Frequency vs Control Voltage 2 1.9 1.8 1.7 Frequency (GHz) 1.6 1.5 1.4 1.3 1.2 1.1 1 0.95 1 1.05 1.1 1.15 1.2 1.25 Control Voltage (V)
  • 23. Conclusion Oscillator Topology Tuning Range Vcontrol Power (% from center) Differential Ring Oscillator with 0.13 – 4.41 GHz 0.58 – 1.75 V 16.3 mW Variable Resistor (100%) Differential Ring Oscillator with 0.55 – 1.5 GHz 1.25 – 1.75 V 12.5 mW Delay Interpolation (46%) Differential Ring Oscillator with 1.2 – 1.9 GHz 1.3 – 1.5 V 7.5 mW Negative Resistance (23%) LC Oscillator with 2.16 – 2.82 GHz 0 – 2.2 V 11.41 mW NMOS Only Cross-coupled Pair (13%) LC Oscillator with 2.24 – 2.6 GHz 0 – 1.3 V 3.185 mW NMOS-PMOS Cross-coupled Pair (7%) LC Oscillator with 2.04 – 2.53 GHz 0 – 2.5 V 7.885 mW Capacitive Source Degeneration (11%)