A 1V, 2.4GHz Fully Integrated LNA Using 0.18μm CMOS Technology

4
A lV, 2.4GHz Fully Integrated LNA Using 0.18pm CMOS Technology Lilo Zheiying, S.C.Rustngi’, A F. Li, ong Linn Signal Processi ng and VLSI Design Lab, Department of Electrical and Computer Engineering National University of Singapore, Singapore 1 19260 * Institute of Microelectronics, Singapore 117685 Correspondence Author: Professor M .F. Li [email protected] ABSTRACT A 11: ?.4GHz fully integi-ated CMOS Low Noise Amplifier (LNA) including the 500 referenced input output matching ne tworks is implemented using 0 . Spin technology within a chip area of4.1mm2. The amplifier h k he noise figure NF) f 3.8dB and a forward gain of more tlian ZOdB. The details of the LNA analysis and design procedure are presented in this paper. 1. INTRODUC.I’ION The first stage of a wireless receiver is typically an LNA, whose main function is to provide enough gain to ~vercome he noise of subsequent stages. Many LNA designs are published so’farl most of them use off-chip nework [3] or bolid wire inductor [GI to accomplish the matching. In this paper, a fully integrated CMOS LNA without off-chip matching network is proposed. Section 2 provides the detail design procedures and the measurement sesultq are shown in section 3 2. LNA DESI cg p*ucL ig 1 LNA Gnd. ingmm lhe proposed LNA diagram is shown in Fig 1. We have used extiacted RF models for all the components to achieve a “first silicon success’’ The main difficulty arises from the limited number of spiral inductors for which the extracted models are available. This puts a premium on the careful c hoice of the inductor to be used. The situation however eases out somewhat with the help of MIM capacitors as the lumped component values of the MIM capacitor R F models are observed to scale with the capacitance value. Noise Figure Optimization For the two stages LNA structue, the input MOSFET of the first stage is the main noise cont nh to r [2] and its size needs to be optimally chosen for noise considera tions. The input matching network is shown in Fig 2(a) and is simplified into Fig 2 b) under the assumption that C , is chosen small enough tc avoid the large amount input signal shunt to ground, thus the diflerence from R, to Re, or from Lx o L,, is not significant. This leads to the conclusion that the optimum size of MI in Fig 2 b) will not vmy much from that of MI in Fig 2(a). A --L a) - @ - Fig 2 Input structwc The noise factor of the simplified input structure of Fig 2(b) is shown in equation (I), its detail expression can be found in [3], wherePD is the power dissipation of the input stage; yis the channel themial noise coefficient, vrvr and are the carrier saturation velocity and electrical field respectively. We can also find W the channel width of MI, as a function of p and PD a s shown in (2). f we solve p as an expression of C V and PD as shown in (3) and substitute it into (I), the noise factor can be exprzssed in (4) a s a function of Wand PD. The curves of NF versus Wunder some fixed PD are shown in Fig 1. By using powerful mathematical softwares, the complicated delivation of the detail expression of (4) is avoided. Parametel- values used in (4) c m be found in the Appendix. 1062 0-7803-7Sd9-X/03/$17.00~2003 EEE.

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A lV , 2.4GHz

Fully Integrated

LNA

Using

0.18pm

CMOS Technology

Lilo Zheiying, S.C.Rustngi’,

A F.

Li, ong Linn

Signal Processing and VLSI Design Lab, Department of Electrical and Computer Engineering

National University of Singapore, Singapore

1

19260

*

Institute of Microelectronics, Singapore 117685

Correspondence Author: Professor M .F. Li elelimf @us.e du.sg

A B S T R A C T

A

11:

?.4GHz fully integi-ated CMOS Low Noise

Amplifier (LNA) including the

500

referenced input

output matching ne tworks is implemented using

0. Spin

technology within a chip area of 4.1m m2. The amplifier

h k h e n o ise f ig u re

NF)

f 3.8dB and a forward gain

of

more tlian ZOdB. The details of the LNA analysis and

design procedure are presented in this paper.

1. INTRODUC.I’ION

The first stage of a wireles s receiver is typically an

LNA, whose main fun ction is

to

provide enough gain to

~ v e r c o m ehe noise of subsequent stages. Many LNA

designs are published so’farl

most

of them use off-chip

n ewo rk [3] or bolid wire inductor [GI to accomplish the

matching. In this paper,

a

fully integrated CMOS LNA

without off-chip matching network is proposed. Section

2

provides the detail design procedures and the

measurement sesultq are shown in section

3

2.

LNA DESI

cg

p*ucLig

1

LNAGnd.

ingmm

lhe proposed LNA diagram is shown in Fig

1.

We have

used extiacted RF models for all the components to

achieve a “first silicon success’’ The main difficulty

arises from the limited number of spiral inductors for

which the extracted models are available. This puts a

premium

on

the careful c hoice of the inductor to be

used. The situation however eases out somewhat with

the help

of

MIM capacitors

as

the lumped component

values of the M IM capacitor RF models ar e observed to

scale with the capacitance value.

Noise

Figure Optimization

For the two stages LNA structue, the input MOSFET

of the first stage is the main noise co nt nh to r

[ 2 ]

and its

size needs to be optimally chosen for noise

considera tions. The input match ing network is shown in

Fig 2(a) and is simplified into Fig

2 b)

under the

assumption that

C,

is chosen small enough tc avoid the

large amount input signal shunt to ground, thus the

diflerence from

R,

t o R e , or from Lx o L,, is not

significant. This leads to the conclusion that the

optimum

size

of MI in Fig

2 b)

will

not

vmy much

from that of MI in Fig 2(a).

A

--L

a)

-

@

-

Fig 2 Input

structwc

The noise factor of the simplified input structure of Fig

2(b)

is shown in equation

( I ) ,

its detail expression can

be found in

[3],

wh ereP D

is

the pow er dissipation of the

input stage; yis the channel themial noise coefficient,

v r v r and are the carrier saturation velocity and

electrical field respectively. We can also find

W

the

channel width of MI, as a function of p and P D as

shown in ( 2 ) .

f

we

solve p

as an expression of CV and

PD as shown in

(3)

and substitute it into

( I ) ,

the noise

factor can be exprzssed in

(4)

as

a

function of W and

PD.

The curves of

NF

versus Wunder some f ixed

PD

are

shown in Fig 1. By using powerful mathematical

softwares, the complicated delivation of the detail

expression of (4) is avoided. Parametel- values used in

( 4 ) c m be found in the Appendix.

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p = ;(I+ .P, 1

)r,J L

.F

= I

+ - e P (II'.

P,

3> *2

(3)

(4)

I t

is

clear from Fig

that for every given PD here

is a

corresponding optimum value of K which yields the

minimum noise figure. In this LNA design,

PD

is

specified as 4.51nW (the solid line) and the optimum

value of W is around 250prrr. The selection of W is a

trade-off between the available

RF

models and the

optimum noise figure, thus

l,P

of 1 S O p s chosen for

which the extracted

RF

models were available. In this

I+

range, the noise figure does not deteriorate

significantly

Fig

3

N F

vs. W

Pi

LNA

nput stage

Thc cascodc device MO "shields" M I from signal

variations at its drain and greatly reduces p121 hus the

LNA can'he t reated approsimatek

a s

a unilateral design

pl+O)

[A].

In this way

MO

reduces the interaction

of

the tuned output with the tuned iiiput that facilitates the

matching task. Chan icl width of

MO is

simply chosen

the samr size as MI;

150pr1

to provide the 4.SmW

power dissipation o ft he input stage.

Input matching

'The input matching netwoi-k is shown in Fig 4. L,, L,

and MI constiuct a source degeneration stage [SI

without C the input impedance is:

In (5 ) ;L, is chosen to mak e the real part of Zit, to match

the signal source resistance and Lx elves the role of

canceling the imaginary part

of Z,,,.

However, that's not

alwnys true while' Ls and L, can not be tuned

continuously. In this case, capacitor C is connected

between the gate of M I and ground to give another

order of freedom of tuning Z as shown in the

approximated expression of

6).

Note that if C, is small

enough to be neglected, Z n (6) will shrink back to the

espression

5).

7)

Linearity consideration

One of the advantages of two stages amplifier is'that i t

separates the optimization tasks of noise, linearity

perfomance and input , output matching while, for

single stags LNA; they need to be considered

simultaneously. In a cascade structure, P3 of the last

stage is the prominent facto r of the total

IP3

[l][2], thus

M2 contributes more to the LNA linearity than M1

IIP3 of M2 can be written as

(7) [7],

where B is the

normal field mobility degradation factor.

7)

shows that

IIP3 of

the second stage can be enhan ced by increasing

J i , ,

for this reason the gate of M2 is connected to

J/,

through Ldl to give

V x J ~

he maximum value. However.

it increases the power dissipation as we ll; channel width

of M2 n eeds to be reduced to compensate this problem.

Foitunately, ieducing the channel width

of M2

will not

affect the lineaiity significantly, thus

a

small device

with relatively high

J

is the way used hei-e to impro ve

linearity

of

the LNA [?]

Ontput mutching

Making output matching is more complicated than the

input one because the output impedance is vel?

sensitive to the component values. L',,

is

the load

inductor of the first stage, however i t affects the output

impedance significantly. As show n in the se tup in Fig

5 ,

R,

is

the output 1-esistance ooking into the drain of M2.

If the value of

Ldl

is chose n improperly,

R,

will become

negative at the desired resonant frequency and thus

introduces the instable factor:

&+-I.

We can get a

more intuitive view from the simulation result in Fig

6.

At the frequency

of

2.40Hz , i f Ld

is

given a value of

4nH.

R,

is negative.' In auother two cases, when Ldl is

chosen InH or S nH , R , becomes positive.

. .

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To

fuither investigate how

Ldl

affects

,

the small

signal analysis of Fig 5 is provided here. The circuit in

Fig

5  is simplified to the equivalent circuit in

Fig

7 .

Note that the effect of the input stage (including MO,

MI:

L,,

L, and

C,)

is neglected for simplicity thanks to

the isolation provided by MO. The expression

of

R ,

is

shown in 8):

0 2 4 8

1 2

9 6

Freq

(GHz)

Fig 5

Fig 6Simuliltion result

of Ra

VS.

Req

Fig 7

h12 U Fig 8 Ro

vs

Freq

process

or

a different setup of component values,

maybe region A is a good option. Again, changing L d 1

will not change the input matching much due to the

isolat ion created by MO and its effect can he m inimized

by finely tuning

C,

in the later opt imizat ion step.

As

illustrated in

Fig

9,

after Ldl

is

decided , the output

impedance posi t ions at point I . If L d 2 can he

continuously tuned, ideally

L d z

can he given a value that

de l ivers the output impedance Z f rom point

1

to

3 ,

which is the intersect ion of the l ine of

Ld j

and 50Q

circle. In this case, the shunt capaci tor , CL, is not

necessary for output matching. However, the turns of

the spiral inductor are discrete thus La should he given

a slightly SMALLER value to make room for

C

to.tune

the point 2 hack to 3. But a TOO SMALL Ld.' will

greatly enlarge CL. hat causes a problem which makes

LQ becomes a sensi t ive component for output

impedance: the osci l lat ion frequency shown in 9)

comes close to the resonant frequency

(2 .4GHz) .

This

problem was overlooked in this

LNA

des ign and

its

effect will he shown in the experimental result later.

CO,

the last component undecided, is used to compensate

the ima gina q par t of the output impedance and i sola te

the DC path be tween LN A and i t s load.

. =r

p - ( f / x f J p - ( J / L f

Wro

8)

p x

, *- a

l - i / /~ )~~+~- ( / /~ ) *~ i / / .~~

- if /X

IMere

.r;-Jzn~~, c~,;+c,,+c,~,,c,)

f, JbJ

, j 2 n K

nd

J

/2m;,C,: .

Curve of

R

versus

b

frequencv is illustrated in Fig 8. The effect of

eliminated by ,6 in the frequency range we

are

~-

is

& A/

consideling since

f is

much higher than 2.4GHz. The

frequency axes can he divided by

fi

and

h

nto three

regions: A: B and C. B

is

: le und esire d reg ion

a s

mentioned before: the negative

R ,

region. Thus

Ldl

needs

to

he properly chosen to shift region

B

to the left

side or right side to drop the resonant frequency

(2 .4GHz) into

region A or

C .

If region

A is

chosen,

Ldl

should he given a smal l va lue (a round In H according to

Fig 6 in this part icular design) to ensurefi>2 .4GHz , that

\ ,ill largely reduce the forward power gain. T hus region

C i

is

chosen; which requires a relatively large

Ldl

to ensure that

R ,

is positive at 2.4GHz (2.4GHz

>h .

Note that this

is

a case-hycase study, in a different

Fig 9 Mlselection

Fig 10

LNA

ndc ph

3

E~~~~~~~~~~~

R ~ ~ ~ , ~

Th e micrograph of this L NA is shown in

k ig 10.

This

IC is implemented in a

0.18pni

six metal process. The

chip area is mainly occupied by the four spiral inductor

Ls,

L,,

L d 1

and

L a ,

whose inductance are 13.2n H, 2.6nH,

8 .3nH a nd

1 6nH

respectively at

2.4GHz.

Capacitances

of the three MIM capaci tors

C,, C L

and

CO

are j O f F

1.9pF and 0.9pF. Channel lengths of all transistors are

0 18pni S-parameten measurem ent resul ts are shown in

Fig

11.

Marker 1

is

posi t ioned' at 2 .4GHz, the desired

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resonant frequency. Input and output matching are quite

good: S I , is-16.8dB while

S?..

i s - l 0 .2d B. The fo rw ad

gain

( I )

is 23dB, and it has a value of m ore than 20d B

f~-oni

.2

to 3.4GHz. The reverse isolation

@ I I I is

less

than -5OdB at 2.4GH z. A problem occurs as we pay

attention

on

marker

3.

There is an abnormal behavior

around

2.8GHz.

This

is

the oscillation caus ed by

C

and

Li12 that

is

explained .in section 2. Fig  12  shows that

noise figure ahnost reaches its lowest value, 3.8dB, at

2.4GHr.

This measurement result differs from the

theoretical value of around 2. ld B in Fig 3, which

implies that, if we want a mol-e precise prediction, w e

need

to

take into account the noise contribution from

the other two NMOS, MO and M3, and the four spiral

inductors whose quality fac tors are far

f~ -o m

deat.

In

Fig

13 , 

the

two

tones IP3 test

( 2 .4

and 2.41GHz) show s

that the IIP3 of this LNA

is

about -9dBm.

All

the

meesurement resu lts are listed in Table

5 8 dB/

*FF 10 db

I W d B 2

q86.088 [ioa

nr-

E E i

p *OB.’

Fig

12

Noise

Figulur

Fig 13 Two tone

l e s t

5 CONCLIISION

The two stages 0 .18p~ully integrated CMOS LNA

with the input and output matching networks is

demonstrated in this paper together with its detail

analysis and design procedures. We ciin see that, the

,performance of the amplifier is sensit ive to the

com ponent values especially for the output stage design

to which we need to pay m ore attention .

Fmquency

2.4

GH2

S I I

-16.8dB

Power supply

1.0

v

S,i -51.7dB

Power issiparion 13.0nmW SZI

23.0

dB

(First fnge)

4 . 5 n i R Sa

-1O.ZdB

NF (a)

3.6

dB

IIP3 -9.1

dBm

Table 1

LNA p e r f o mme summaly

ACKNOWLEDGMENT

The authors would like to thank the Institute of

Microelectronics of Singapore for pioviding the RF

component models.

REFERENCE

[ I ] Behzad Razavi, ‘RF .hlcroe/ecti-oriics” , Prentice

Hall

PTR.

[2] Piljae Park, Cheon So0 Kim, and Hyun Kyu Yu

“Linenrip Noise optiniizntiori

for Two

Stage RF

CMOS LAY”,

Proceedings of TENCON 2001,

vo1.2, pp. 756758,2001

[3]

Derek

K.

Shaeffer, Thomas

H.

Lee,

“A

1.5-1.:

1.5-

GHz CMOS Low N oise Amplifier” , EEE Journal of

Solid-State Circuits, Vol: 32, No. 5 , M A Y 1997.

[4]

Reinhold Ludwig, Pave1 Bretchko,

“RF Circuir

Desigri”

,

Prentice Hall.

[SI

Thomas

H.

Lee,

Tlie Des i gn o/

CMOS Radio-

Frequency Integrared Circuits“

,

Cambridge, New

York: Cambridge Univ. Press, 1998.

[6] P. Leroux, 2 0.8-dB NF ESD-Protec ted PniW

CMOS LNA Oper,nririg

at

I.23GHz”

, EEE Journal

of Solid-State Circuits, Vol. 37, No. 6, June 2002.

[7] Wei

GUO,

“Tlie

Noise

mid

Linearip Opfiniizntion

j orA

1.9-GHz CMOS Low Noise Amnplifier” ,

EEE

Asia-Pacific Conference, 2002.

APPENDIX

Parameter values used in estimating the fixed power

noise figure versus the channe l width of

M I

:

Reg

50 6 0 1 5.0 , 0.76E7

L ,

2.6nH lcf3]

0.395 v ~

0.8E5

y” I 2.5

1065