Oscillators: Analysis and Designs

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Oscillators: Analysis and Designs
Asst. Prof. Dr. Pipat Prommee Telecommunications Engineering Department KMITL Homepage: Asst .Prof. Dr.Pipat Prommee

Sinusoidal Oscillator Principle
Amplifier K H(s) Asst .Prof. Dr.Pipat Prommee

Unstable Network Functions
Inv. Laplace Inv. Laplace Inv. Laplace Asst .Prof. Dr.Pipat Prommee

Unstable Network Functions
Double Poles Asst .Prof. Dr.Pipat Prommee

Sinusoidal Oscillator Principle
No Input condition Asst .Prof. Dr.Pipat Prommee

2nd Order Polynomial-Based Oscillator
where and Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
3rd Order Polynomial-Based Oscillator and Asst .Prof. Dr.Pipat Prommee

For Example: n =3 Asst .Prof. Dr.Pipat Prommee

Asst. Prof. Dr. Pipat Prommee
Oscillators Designs Asst. Prof. Dr. Pipat Prommee Asst .Prof. Dr.Pipat Prommee

Example 1: Wein-Bridge Oscillator
Suppose k=3, the frequency is obtained Asst .Prof. Dr.Pipat Prommee

Example 2: Phase-Shift Oscillator
Suppose k=-29, the Freq. is obtained Asst .Prof. Dr.Pipat Prommee

Voltage-mode Lossy and Lossless Integrators
Lossy Integrators Lossless Integrators Asst .Prof. Dr.Pipat Prommee

where and Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
3rd Order Filter #1 3rd Order filter based on Lossy and Lossless Integrators Asst .Prof. Dr.Pipat Prommee

Principle of 3rd Order Oscillator #1 [2]
If Therefore Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
OTA-based 3rd filter #1 Asst .Prof. Dr.Pipat Prommee

OTA-based 3rd Oscillator #1
Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
3rd Order Filter #2 Asst .Prof. Dr.Pipat Prommee

3rd Order Oscillator #2 [2]
If Therefore Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
Voltage Proportional Asst .Prof. Dr.Pipat Prommee

OTA-based 3rd Order filter #2
Asst .Prof. Dr.Pipat Prommee

OTA-based 3rd Order Oscillator #2
Asst .Prof. Dr.Pipat Prommee

OTA-based 3rd Order Oscillator #2
Asst .Prof. Dr.Pipat Prommee

CMOS based 3rd Order Oscillator #1
Asst .Prof. Dr.Pipat Prommee

Quarature Output of 1st order Oscillator
Asst .Prof. Dr.Pipat Prommee

Frequency against biased current and different C of 1st Oscillator
Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
CMOS based 3rd Order Oscillator #2 Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
Quarature Output Signal of 2nd order Oscillator Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
Frequency against biased current and different C of 2nd Oscillator Asst .Prof. Dr.Pipat Prommee

Current-mode Integrator based on OTA
Lossy Integrators Lossless Integrators Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
CMOS OTA Asst .Prof. Dr.Pipat Prommee

Current-mode OTA Oscillator #1 [4]
Asst .Prof. Dr.Pipat Prommee

Current-mode OTA Oscillator #2 [4]
Asst .Prof. Dr.Pipat Prommee

Current-mode OTA Oscillator Output [4]
Asst .Prof. Dr.Pipat Prommee

Current Controlled Current Conveyor (CCCII) [7]
Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
OTA against CCCII X Y Z+ Z- CCCII Ib Vin IO Asst .Prof. Dr.Pipat Prommee

Current-mode Oscillator based on CCII [3]
Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
Oscillator outputs Asst .Prof. Dr.Pipat Prommee

CCCII-based differentiator and Integrator
Lossy Differentator Lossy Integrator Asst .Prof. Dr.Pipat Prommee

N-order (odd) Oscillators [1]
Asst .Prof. Dr.Pipat Prommee

N-order (Even) Oscillators [1]
Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
Oscillation Output Asst .Prof. Dr.Pipat Prommee

Asst .Prof. Dr.Pipat Prommee
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 M. T. Abuelma’atti 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 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 , 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 , 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. Asst .Prof. Dr.Pipat Prommee