asst.prof. dr.pipat prommee oscillators: analysis and designs asst. prof. dr. pipat prommee...

Asst .Prof. Dr.Pipat Prommee

Oscillators: Analysis and Designs

Asst. Prof. Dr. Pipat PrommeeTelecommunications Engineering

Department

KMITLHomepage: www.telecom.kmitl.ac.th/~pipat

Email:[email protected]


Sinusoidal Oscillator Principle

Amplifier

KH(s)


Unstable Network Functions

jbas

k

jbas

ksH

11

1

1

ps

ksH

2

12

1

jbs

k

jbs

ksH

tpeKth 11Inv. Laplace

Inv. Laplace

Inv. Laplace

bteKth at cos2 1

bttKth cos2 1


Unstable Network Functions

1

1

ps

ksH

jbas

k

jbas

ksH

11

2

12

1

jbs

k

jbs

ksH

Time

h(t)

Time

h(t)

Time

h(t) tpeKth 11

bteKth at cos2 1

bttKth cos2 1

btKth cos2 1

j

j

j

Double Poles

Double Poles

Time

h(t)


Sinusoidal Oscillator Principle

H(S)

k

V O

V in

+

+

LG

skH

sH

V

V

in

O

1

1 skHLG

No Input condition skH

sHVO

10


2nd Order Polynomial-Based Oscillator

212

00 asasasN

212

00 aaja

0

2

0

120a

a

a

aj

01 a

and0

22

a

a

where


322

13

00 asasasasN

322

1030 aajaaj

202

2130 aajaa

2

0

2 a

a 2

1

3 a

a

03021 aaaa

and

3rd Order Polynomial-Based Oscillator


N - orders Cascaded Approach

-k

1+Ts

-k

1+Ts

-k

1+Ts

-k

1+Ts

x

y

Io1

Io2

Ion-1

Ion

11

n

Ts

kLG

0)1(1 1 nnn ksT

01 33 ksTOjs

03 2 TTj OO

For Example: n =3

TO

3

2k

01 223 Tk O 091 3 k


Oscillators Designs

Asst. Prof. Dr. Pipat Prommee


Example 1: - Wein Bridge Oscillator

RC

CR

VOk

22 13 RCRCss

RCkssH

sD

sN

RCRCss

RCRCkss

RCRCss

RCksLG

22

22

22 13

13

1311

Suppose k=3, the frequency is obtained RC21

R C

CR

VOk

Vin


Example 2: Phase-Shift Oscillator

C

R

V O

R

CCk

156 23

3

sRCsRCsRC

sRCksH

sD

sN

sRCsRCsRC

sRCLG

15611 23

3

156

156123

23

sRCsRCsRC

sRCsRCsRCk

sD

sN

RC621 Suppose k=-29, the Freq. is obtained

C

R

VO

R

CCk

Vin


Voltage-mode Lossy and Lossless Integrators

C

vOvin i = 0 gm Cgs

Cg

m

m

vin vO

C

vO

vin

gm

sC

g mvin vO

Lossy Integrators

Lossless Integrators


Quadrature Oscillator

sC

g mvin

sC

g mvO2vO1

sD

sN

sC

gLG m

2

11

22

2

21 Cs

g

sC

g

sC

gsHsHsH mmm

2220m

gCssN

212

00 asasasN

01 a

and0

22

a

a

where

2

22

C

gm


3rd Order Filter #1

1

1

s

sH 2

2

s

sH 3

1

ssH

v ov in

LossyIntegrator

LossyIntegrator

LosslessIntegrator

212123

321

sssv

v

in

O

21212

321

sssv

v

in

O

3rd Order filter based on Lossy and Lossless Integrators


Principle of 3rd Order Oscillator #1 [2]

1

1

s

sH 2

2

s

sH 3

1

ssH

v o

21

3

1

21

2 nIf

212123

321

sssLG

3212121230 ssssN

Therefore


OTA-based 3rd filter #1

C1

vin

C2

gm2gm1

C3

gm3

vO

sCCggsCgCgs

CCCggg

v

v

mmmm

mmm

in

O

21212

22113

321321


OTA-based 3rd Oscillator #1

C1C2

gm2gm1

C3

gm3

vO

2

2

1

1

3

3

C

g

C

g

C

g mmm

21

21

CC

gg mmn

mmm ggg 21 CCCC 321 mm gg 23

sCCggsCgCgs

CCCgggLG

mmmm

mmm

21212

22113

321321


1

1

s

sH 2

2

s

sHv ov in

LossyIntegrator

LossyIntegrator

3

3

s

sH

LossyIntegrator

32131322132123

321

sssv

v

in

O

21212

321

sssv

v

in

O

3rd Order Filter #2


3rd Order Oscillator #2 [2]

1

1

s

sH 2

2

s

sHv o

3

3

s

sH

k

32131322132123

321

sss

kLG

2

2

3

1

3

1

2

3

2

2

1

3

1

k 3132212 n

321

3212 1

k

n a 321

8k

an 3If Therefore


Voltage Proportional

ElectronicResistor

v O

v in

g m4I in

M1

M2

V O

VDD

VSS

R eq

eqmin

O Rgv

v4

TDDOXin

Oeq VVWC

L

I

VR

2 2

1 2 TDDOX

D VVL

WCI

22 2 TO

OXD VV

L

WCI

21 DinD III


OTA-based 3rd Order filter #2

C 1

C 2

g m2g m1 C 3

g m3 v Og m4

ElectronicResistor

R eqv in

321

321

32

32

21

21

31

31

3

3

2

2

1

123

321

321

CCCggg

CCgg

CCgg

CCgg

sCg

Cg

Cg

ss

CCCggg

k

v

v

mmmmmmmmmmmm

mmm

in

O


OTA-based 3rd Order Oscillator #2

C 1

C 2

g m2g m1 C 3

g m3

v O

g m4

ElectronicResistor

R eq

321

321

32

32

21

21

31

31

3

3

2

2

1

123

321

321

CCC

ggg

CC

gg

CC

gg

CC

ggs

C

g

C

g

C

gss

CCCggg

k

LGmmmmmmmmmmmm

mmm


OTA-based 3rd Order Oscillator #2

mmmm gggg 321

CCCC 321

332223

33

33 CgCgsCgss

CgkLG

mmm

m

332223 1330 CgkCgsCgsssN mmm

8k C

gm3


CMOS based 3rd Order Oscillator #1

VSS

VDD

M5 M6

M7 M8

I

M9 M10

M11 M12

I

M1 M2

M3 M4

I

M13 M14

M15 M16

IC C C

3 4 7


Quarature Output of 1st order Oscillator


Frequency against biased current and different C of 1st Oscillator


VDD

M5 M6

M7 M8

I

M9 M10

M11 M12

I

M1 M2

M3 M4

ICC C

94 7

M13 M14

M15 M16

IA

VSS

VDD

VSS

M17

M18

CMOS based 3rd Order Oscillator #2


Quarature Output Signal of 2nd order Oscillator


Frequency against biased current and different C of 2nd Oscillator


Current-mode Integrator based on OTA

CiO

iin

gm Cgs

Cg

m

m

iOiin

Cgm

sC

g m

iOiin

iOiin

Lossy Integrators

Lossless Integrators


CMOS OTA

VVgI mO LWCIg OXOSSm


Current-mode OTA Oscillator #1 [4]


Current-mode OTA Oscillator #2 [4]


Current-mode OTA Oscillator Output [4]


Current Controlled Current Conveyor (CCCII) [7]


OTA against CCCII

IOVin gm

Ib

X

Y Z+

Z-CCCII

Ib

Vin

IO

T

inbO V

VII

T

inbO V

VII

2


Current-mode Oscillator based on CCII [3]


Oscillator outputs


CCCII-based differentiator and Integrator

Lossy Differentator

Lossy Integrator


N-order (odd) Oscillators [1]


N-order (Even) Oscillators [1]


Oscillation Output


References1. 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.

2. 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.

3. S.J.G. Gift, “Multiphase Sinusoidal Oscillator Using Inverting-Mode Operational Amplifiers,” IEEE Trans. Instru. and Meas., Vol. 47, No.

4, Aug. 1998.4. 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, 2002.5 . S. Maheshwari and I.A. Khan, “Current controlled third order

quadrature oscillator,” IEE Proc. Circuits Devices Syst., Vol . 152, No .6, December 2005.

6. T. Tsukutani, Y. Sumi and Y. Fukui, “ -Electronically controlled current - mode oscillators using MO OTAs and grounded capacitors,” Frequen

z, Vol. 60 pp.220-223, 2006.7. 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 oscillators: analysis and designs asst. prof. dr. pipat prommee...

Documents

pipat prommee slide

pipat prommee ota

pipat prommee principle

pipat prommee example

pipat prommee frequency

pipat prommee references

pipat prommee cmos ota

nd oscillator slide