Oscillators: Analysis and Designs

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Oscillators Analysis and Designs

• Asst. Prof. Dr. Pipat Prommee
• Telecommunications Engineering Department
• KMITL
• Homepage www.telecom.kmitl.ac.th/pipat
• Emailpipat_at_telecom.kmitl.ac.th

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Sinusoidal Oscillator Principle
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Unstable Network Functions
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Unstable Network Functions
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Sinusoidal Oscillator Principle
No Input condition
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2nd Order Polynomial-Based Oscillator
where
and
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3rd Order Polynomial-Based Oscillator
and
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N - orders Cascaded Approach
For Example n 3
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Oscillators Designs

• Asst. Prof. Dr. Pipat Prommee

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Example 1 Wein-Bridge Oscillator
Suppose k3, the frequency is obtained
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Example 2 Phase-Shift Oscillator
Suppose k-29, the Freq. is obtained
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Voltage-mode Lossy and Lossless Integrators
Lossy Integrators
Lossless Integrators
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Quadrature Oscillator
where
and
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3rd Order Filter 1
3rd Order filter based on Lossy and Lossless
Integrators
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Principle of 3rd Order Oscillator 1 2
If
Therefore
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OTA-based 3rd filter 1
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OTA-based 3rd Oscillator 1
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3rd Order Filter 2
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3rd Order Oscillator 2 2
If
Therefore
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Voltage Proportional
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OTA-based 3rd Order filter 2
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OTA-based 3rd Order Oscillator 2
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OTA-based 3rd Order Oscillator 2
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CMOS based 3rd Order Oscillator 1
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Quarature Output of 1st order Oscillator
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Frequency against biased current and different C
of 1st Oscillator
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CMOS based 3rd Order Oscillator 2
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Quarature Output Signal of 2nd order Oscillator
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Frequency against biased current and different C
of 2nd Oscillator
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Current-mode Integrator based on OTA
Lossy Integrators
Lossless Integrators
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CMOS OTA
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Current-mode OTA Oscillator 1 4
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Current-mode OTA Oscillator 2 4
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Current-mode OTA Oscillator Output 4
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Current Controlled Current Conveyor (CCCII) 7
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OTA against CCCII
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Current-mode Oscillator based on CCII 3
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Oscillator outputs
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CCCII-based differentiator and Integrator
Lossy Differentator
Lossy Integrator
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N-order (odd) Oscillators 1
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N-order (Even) Oscillators 1
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Oscillation Output
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References

• A.R. Vazquez, B.L. Barrnco, J.L. Huertas and
  E.S.Sinencio, On the design of
  voltage-controlled sinusoidal oscillators using
  OTAs, IEEE Trans. Circuits and Syst., Vol. 37,
  No. 2, Feb. 1990.
• M. T. Abuelmaatti and M. A. Al-Qahtani, A New
  Current-Controlled Multiphase SinusoidalOscillator
  Using Translinear Current Conveyors, IEEE
  Trans. Circuits and Syst.-II, Vol. 45, No. 7,
  July 1998.
• S.J.G. Gift, Multiphase Sinusoidal Oscillator
  Using Inverting-Mode Operational Amplifiers,
  IEEE Trans. Instru. and Meas., Vol. 47, No. 4,
  Aug. 1998.
• P. Prommee, K. Dejhan,An integrable
  electronic-controlled quadrature sinusoidal
  oscillator using CMOS operational
  transconductance amplifier,International Journal
  of Electronics, Vol.89, no.5, pp.365-379, 2002.
• S. Maheshwari and I.A. Khan, Current controlled
  third order quadrature oscillator, IEE Proc.
  Circuits Devices Syst., Vol. 152, No. 6, December
  2005.
• T. Tsukutani, Y. Sumi and Y. Fukui,
  Electronically controlled current-mode
  oscillators using MO-OTAs and grounded
  capacitors, Frequenz, Vol.60 pp.220-223, 2006.
• F. Seguin and A. Fabre, New Second Generation
  Current Conveyor with Reduced Parasitic
  Resistance and Bandpass Filter Application, IEEE
  Trans. Circuits and Syst.-I, Vol. 48, No. 6, June
  2001.