a low noise amplifier at 2.45ghz - muhammad fadhli b abdul rahman - tk7871.2.m43 2008

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A LOW NOISE AMPLIFIER AT 2.45GHz MUHAMMAD FADHLI BIN ABDUL RAHMAN This report is submitted in partial of requirement for the award of Bachelor of Electronic Engineering (Telecommunication Electronics) with honours. Faculty of Electronic and Computer Engineering Universiti Tehikal Malaysia Melaka

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Page 1: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

A LOW NOISE AMPLIFIER AT 2.45GHz

MUHAMMAD FADHLI BIN ABDUL RAHMAN

This report is submitted in partial of requirement for the award of Bachelor of

Electronic Engineering (Telecommunication Electronics) with honours.

Faculty of Electronic and Computer Engineering

Universiti Tehikal Malaysia Melaka

Page 2: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

ABSTRAK

Projek ini membentangkan tentang merekabentuk, simulasi serta fabrikasi penguat

rendah hingar(LNA) pada frekuensi 2.45GHz. Penguat rendah hingar ini

menghasilkan gandaan melebihi 1 ldB dan faktor hingar pada 1 -45dB. Simulasi

untuk penguat rendah hingar ini akan menggunakan perisian Ansofi Designer SV2

dan difabrikasikan di atas papan mikrostrip.

Page 3: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

ABSTRAK

This project presents the design, simulation and fabrication of low noise amplifier at

2.45GHz. The Low Noise Amplifier provide gain more than 1 ldB with the noise

figure at 1.45dB. The simulation of the Low Noise Amplifier used the Ansoft Office

software and be develop using the Microstrip board.

Page 4: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

CHAPTER I

INTRODUCTION

1.1 Introduction

The function of low noise amplifier (LNA) is to amplify low-level signals

with maintain a very low noise. Additionally, for large signal levels, the low noise

amplifier will amplified the received signal without introducing any noise, hence

eliminating channel interference. A low noise amplifier function plays an undisputed

importance in the receiver[ 1 1.

The low noise amplifier consists of transistor, direct current (DC) bias circuit

and matching circuit. Nowadays, there are numerous type of transistor that has this

ability of low noise amplifier like BFP540, BFP640 and BFP620. In this project the

LNA are designs using a Siemens wideband transistor BFP540 for a high frequency

application with low current and low supply voltage.

Page 5: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

1.2 Thesis Outline

i. Chapter 1 will explain the objective and introduction of the low noise

amplifier.

ii. Chapter 2 will discuss the literature review for the low noise amplifier.

The research and background study also include in this chapter.

iii. Chapter 3 will discuss the design and the process of the low noise

amplifier.

iv. Chapter 4 will discuss on the result of the simulation for the low noise

amplifier.

v. Chapter 5 will discuss on the analysis of project.

1.3 Objective

The objective of this research is to perform circuit level design, simulation

and measurement, including circuit analysis and verification of a low noise amplifier

circuit at 2.45GHz. This low noise amplifier will produce a gain more than lOdB

and noise figure less than 3dB.

1.4 Scope of Project

This project will be divided into four parts, they:-

I. Literature Review

11. Simulation

111. Fabricate

IV. Analysis

Page 6: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

The first part of this project is to get as much as possible information of low

noise amplifier; The parameter like S-Parameter, gain and stability will be covered.

In this part also the background study of the low noise amplifier will be discussed.

The low noise amplifier will be designed at 2.45GHz. The low noise amplifier circuit

used collector feedback bias to activate the transistor. Bipolar transistor BFP540 will

be used to design this low noise amplifier circuit.

The second part of this project is to simulate the low noise amplifier circuit

using Ansoft Designer SV2. The data will be collected during the simulation process.

The value of noise figure, gain and the return loss will be observed through this

procedure.

The third part of this project is to fabricate this low noise amplifier circuit.

The FR4 board will be used to fabricate the low noise amplifier circuit. The analysis

result will be observed from this circuit.

At the analysis part, the result from simulation and fabrication will be

compared.

Page 7: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

1.5 Methodologies

The project methodology present the implementing process for low noise

amplifier. In early stage, the literature review and understanding of theory about the

overall procedure in this project will be compared. Figure 1.1 shows the flow chart of

the project.

LITERATURE REVIEW

v CALCULATE

w SIMULATE

w

DESIGN 4-. - v

FABFUCATE

REDESIGN

v SUBMIT

Figure 1.1 Flow chart of project

Page 8: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

1.4.1 Literature review:-

The understanding parameter such as S parameter, VSWR, noise

parameter and etc need to be covered. These parameters can be found from

the data sheet of the transistor. Related topics need to be covered such as bias

design, circuit stabilization, noise optimization, linearity optimization, load

pull for gain and Third-Order Intercept Point (IP3) off improvement and

complete circuit characterization[2]. The component that will be used in

design the low noise amplifier circuit such as transistor, material and type of

bias will be identified.

All components will be calculated and selected using theoretical

analysis.

1.4.3 Design and simulate:-

The low noise amplifier circuit is adapted into simulation software.

The circuit will be simulated and the data will be collected. The important

parameter for this low noise amplifier circuit is the gain and the noise figure.

1.4.4 Fabricate and testing:-

The low noise amplifier circuit will be constructed and fabricated on

the microstrip board. The value of the hardware will be measured. It will be

tested and analysed in this process.

Page 9: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

CHAPTER I1

LITERATURE REVIEW

2.1 Wireless LAN receiver

Behzad Razavi [3] reported the RF receiver design targeting spread-spectrum

WLAN applications in the 2.4 GHz band. Based on direct-conversion architecture,

the receiver employs partial channel selection filtering, dc offset removal and

baseband amplification. The receiver was fblly fabricated in a 0.6-pm CMOS

technology in an area of 680pm x 980pm. The receiver achieved noise figure of 8.3

dB, IP3 of -9 dBm and system gain of 34 dB.

Charles Wenzel[4], have design a low noise amplifier for the ultra-low noise

amplifier. He design the circuit using JFET as the transistor. The transistor is used

because it is one of the suitable transistor for his application. He said that the

amplifier should have some RF filtering at the input so that the carrier and sum

frequencies from the phase detector do not reach the gain stages.

Muhammad Wasim[S] in his report have discuss and design a low noise

amplifier using the CMOS transistor. He designed the low noise amplifier that

suitable for the frequency from 1.8GHz to 2.4GHz. In his project, he has design

multi-standard receiver front end. He has study the previous design of the Bluetooth

low noise amplifier.

Page 10: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

In case of an active mixer topology, the mixer input stage will contribute

along with the LNA to the flicker noise level. Therefore, a resistive mixer should be

the best solution in order to minimize the flicker noise level [6].

2.2 Transistor

There is three types of transistor that always being used to design the Low

Noise Amplifier. The types of model are bipolar, FET and MMIC. In bipolar

transistor, there are three regions collector, base and emitter.

The bipolar junction transistor was the first solid-state active device to

provide practical gain and noise figure (F) at microwave fiequencies. In the

seventies, breakthroughs in the development of Field Effect Transistors (FETs) such

as GaAs Metal Semiconductor Field Effect Transistor (MESFET) led to the higher

gain and lower noise figure than bipolar transistors for the fiequencies in the range of

several gigahertz [7].

Currently, advanced FETs and bipolar transistors still compete for lower

noise figure and higher gain at frequencies in excess of 100 GHz. Examples are the

High Electron Mobility Transistor (HEMTs), such as Pseudomorphic High Electron

Mobility Transistors (pHEMTs) [8], Metamorphic High Electron Mobility Transistor

(MHEMTs) [9], as well as Heterojunction Bipolar Transistors (HBTs) [lo], built

using a variety of semiconductor materials likes GaAs, InP, Si, SiGe and many more.

Thomas L. Floyd[ll] in his book has discuss about the circuit, component

and application of electronic device. In the transistor chapter,.his said that in order to

operate properly a transistor as amplifier, the two pn junction must be correctly

biased with external dc voltage. The emitter-follower is characterized by a high input

resistance, which makes it a very useful circuit. This is because the high input

resistance, the emitter-follower can be used as a buffer to minimize loading effects

when one circuit is driving another.

Page 11: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

Mike Wilson C.Eng.MIEE[12]. In his book, he discuss about the designing

the receiver and transmitter for the wireless communication. He used the bipolar of

low noise amplifier in his design. He said that would depend on cost and power

supply considerations, as well as the application. FETPHEMTdevices usually have a

lower noise figure and higher IP3, but more expensive and may require a negative

supply for the bias circuitry. MMIC's require very little design effort, but are usually

the most expensive solution. Some MMIC's offer additional functionality in the

same package (e.g. LNA+ mixer or two LNA stages), which may be an attractive

option.

Gerard Wevers[l3] had made the technical report for designing the low noise

amplifier using the bipolar transistor. He discuss about the linearity, stability and

including the way to design the bipolar Low Noise Amplifier. The design of his low

noise amplifier is suitable for the wireless communication from 5 to 6 GHz. He said

the bipolar transistor could give the high performance with the low cost budget.

T.K.K Tsang and M.N. El-Gamal[l4] in their technical report, they had

designed a double stages low noise amplifier. The gain for their low noise amplifier

is 11.5dB and noise figure of 4dB. Since the design doesn't use any off-chip

components, it can be easily integrated as part of a complete low-voltage transceiver.

In the national semiconductor technical report[2] they have design a very

simple low noise amplifier using the discrete component. One of their last summary,

they conclude that in order to improve the linearity of the Low Noise Amplifier, an

inductor can be inserting on the transistor's emitter.

Ming-Chang Sun. Shing Tenqchen, Ying-Haw Shu. Wu-Shiung Feng[15] in

their journal had design a 2.4 GHz CMOS Image-Reject Low Noise Amplifier. They

use double stage of CMOS transistor in their project. The foundry provided device

models are calibrated to incorporate the non-ideal properties of the CMOS process.

Gerard wevers[l6] in Infineon technical report have design a low noise

amplifier at 1900MHz using BFP640. In his technical report, he said that there is 4

element that need be considered to design low noise amplifier that is linearity,

Page 12: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

stability, noise figure, input output matching and DC bias. His technical report is

focus on design a low noise amplifier for CDMA application.

Goufu Niu[l7] had discuss the noise in SiGe HBT RF technologies. He

discuss about the physical, modelling and circuit implications. For LNA design, the

transistor size can be optimized to make the noise matching resistance equal to the

50- source impedance.

There are various of transistor that can be use to design a low noise amplifier

such as FET, bipolar and CMOS. The CMOS and MIMIC is the transistor that be

used to design the low noise amplifier. Unfortunately, the cost to design the low

noise amplifier using CMOS or MIMIC is very expensive. To design a low noise

amplifier with the low cost, the bipolar transistor can be use. Although the bipolar is

cheaper than CMOS or MIMIC transistor, it also has a high performance.

The design of an LNA in Radio Frequency (RF) circuits requires the trade-off

of many importance characteristics such as gain, noise figure (F), stability, power

consumption and complexity. This situation forces designers to make choices in the

design of RF circuits. In LNA design, the most important factors are low noise,

moderate gain, matching and stability. Besides those factors, power consumption and

layout design size also need to be considered in designed works [18].

2.3 Conclusion

As the conclusion, the bipolar low noise amplifier is one of the important

parts in the wireless local area network receiver. This project will use the bipolar

transistor, BFP540 as the main transistor to build the low noise amplifier circuit. This

circuit will be used at 2.45GHz. The circuit expected to produce a gain overlodB and

the noise figure less than 3dB

Page 13: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

CHAPTER I11

METHODOLOGY

3.1 Design

This part will discuss the theory on designing of low noise amplifier.

The transistor BFP540 is produce by Infineon Technologies. This transistor is

NPN silicon type of transistor. The standard termination for this transistor between

O.1GHz to 6GHz is 5OQ. This type of transistor has the highest power gain 21dB at

1.8GHz and noise figure of 0.9dB. This bipolar transistor is selected in this project

because it can give a high gain and provide low noise for amplifier. In additional, this

project use bipolar transistor because for the frequency that below than 4GHz, silicon

BJT's provides a reliable and low-cost solution to many electronic design.

Page 14: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

3.1.2 Identify Circuit

Figure 3.1 shows the simple block diagram for the low noise amplifier circuit.

The radio frequency (RF) input block represents the input signal for the circuit. The

input and output matching network block represent the matching circuit for the low

noise amplifier. This is very important for the low noise amplifier circuit to be

matched with other circuit. The optimal matching will give the maximum power

transfer for the low noise amplifier circuit. The transistor BFP540 is the transistor

that had been used in this low noise amplifier circuit. DC bias block represent the

biasing circuit to activated the transistor for the low noise amplifier circuit.

I t '

I 1 ' Input , Network I 1

Figure 3.1 Block Diagram for LNA

The 2-port network is used to represent this low noise amplifier circuit. To

design the low noise amplifier circuit, the stability and S-parameter of the circuit

need to be define. In typical wireless applications, low noise amplifiers are generally,

fabricate in bipolar semiconductor or GaAs MOSFET technologies. For low noise

amplifiers, the gain linearity applied to a signal is an important operating

characteristic, especially when the incoming signal amplitude is large. The gain

linearity typically related to the transconductance of a MOSFET in an input stage of

the amplifier.

Page 15: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

3.1.3 Matching

When a transmission line is not terminated by its characteristic impedance,

maximum power is not transferred due to the load and power will be wasted due to

reflection from the load. This reduces the efficiency of transmission[l9].

To make sure the power transfer to the load is maximum, the input and output

matching for the amplifier are design. A microwave circuit involves many different

types of transmission lines and devices, each characterised by its own impedance.

Impedance transformation between two reference planes along a microwave

transmission line made for the matching of arbitrary load impedance at one plane to

the line or the matching of two lines having different characteristic impedances for

the purpose of maximum power transfer. There is numerous method for matching a

mismatched load or line. The matching is also important so that we can improve the

signal-to-noise-ratio (SNR) while reduce the magnitude and phase error.

The influence of the output matching circuit on the input return loss together

with the positive effect of the added emitter inductance for both return loss and noise

matching enabled the elimination of any RF matching elements at the device

input[l6].

Input matching is given by

2010g Iri, I =2010g IS,, I

Output matching is given by

T i, is input reflection coefficient

I? is output reflection coefficient

Page 16: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

Impedance matching is important for the following reasons 1201: -

3.1.3.1 Maximum power is delivered when the load is mismatched to the line

(assuming the generator is mismatched), and power loss in the feed line is

minimized.

3.1.3.2 Impedance matching sensitive receiver components (antenna, low-noise

amplifier, etc.) improves the signal to noise ratio of the system.

3.1.3.3 Impedance matching in a power distribution network (such as an antenna

array feed network) will reduce amplitude and phase errors.

3.1.4 Stub matching

A matching technique that uses a single open-circuited or short-circuited

length of transmission line (a "stub"), connected either in parallel or in series with

the transmission feed line at a certain distance fiom the load, as shown in Figure 3.2

a and b is called single-stub matching. Such matching circuit is convenient fiom a

microwave fabrication aspect, since lumped elements are not required. The shunt

matching stubs especially easy to fabricate in microstrip or stripline form.

In single-stub matching, the two adjustable parameters are distance d, fiom

the load to the stub position and the value of susceptance or reactance provided by

the shunt or series stub. For the shunt stub case, the basic idea is to select d so that

the admittance Y, seen looking into the line at distance d from the load is of the form

Yo + jB. Then the stub susceptance is chosen as -jB, resulting in a match condition.

For the series stub case, the distance d is select so that the impedance Z, seen looking

into the line at a distance d fiom the load is of the form Zo + jX. Then the stub

reactance is chosen as - jX, resulting in a match condition.

Page 17: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

Open or ~hortecl rtub

(b)

Figure 3.2 Single-stub matching circuits. (a) Shunt stub. (b) Series stub.

Page 18: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

3.1.5 Quarter wave matching

Consider a transmission line network as illustrated in Figure 3.3. The input

impedance for a lossless transmission line is given by equation. In general, the input

impedance of a line that has characteristic impedance ZT and length 1 and is

terminated with a load impedance ZI is given by equation

Here, ZL is the load seen by the ZT line at its junction with the Z, line. If the

line length 1 is V4, the line is known as a quarter-wave transformer. In that case

cos(p1) = 0 and if the input to the transformer is to be matched, then

where

Page 19: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

As the characteristic impedances Z, and ZT are in practice real quantities, the

impedance at the load end of the transformer must also be real if a matched condition

is to be realized. The line impedance will look purely real at the voltage maximal and

minima planes. Any load may be transformed to the real impedance at such a plane

through an appropriate length of transmission line. This fact, then together with the

properties of the ?J4 transformer, allows any load impedance that has a finite

resistance component to be matched to the characteristic impedance of the input line.

I 1 Transformer j I

Figure 3.3 Matching with a single section quarter-wave transformer

I I + d -

The two unknown quantities that have to be determined for the quarter-wave

transformer matching network are the distance from the load to the transformer, d,

and the characteristic impedance of the transformer ZT. The matching procedure is as

follows:

l !

I I Input Zo ZT Zo I I I

3.1.5.2 The normalized impedance of the load is plotted and matched

z'=Z'L/Z, on a Smith Chart as shown in Figure 3.4.

Z'L

3.1.5.2 Then, the point is move around the chart on a constant VSWR circle,

i.e. with Irl constant, until the circle intersects the resistive axis, which

it gave a plane where the impedance is the ZI, for the quarter-wave

transformer in Figure 3.4. The rotation around the chart in a clockwise

direction, towards the generator, gives the line length d.

I L ,L

1 zi, ZL I

Page 20: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

3.1.5.3 For the matched condition requiring Zin= l+jO, the characteristic

impedance of the transformer section becomes

ZT = z0,E (3.9)

3.1 S.4 As the constant Irl circle part of (3.1.5.2) intersects the real axis at two

points, there are two possible solutions for quarter-wave transformer

matching, one with ZT > Zo and the other with ZT < Zo. Naturally, the

line length d will be different for the two cases.

Figure 3.4 Quarter wave transformer solution

There is another alternative matching technique, which also serve the same

purpose. The LC network is one of the famous and simple matching techniques that

widely used at lower frequency. This approach is used by Derek K SheafTer and

Thomas H Lee in their LNA design at 1.5 GHz operating frequency [21]. A.

Parssinen et al. also used this matching technique in their 1.8 GHz LNA design [22].

Commonly, the purpose of input and output matching network is to produces 50 Q

impedance at the input and output port of the LNA. The matching network composed

of inductance and capacitance matches the components impedance to 50 SZ [23]. His

impedance value is proposed by IEEE 802.1 1 a -1 999 standard [24].

Page 21: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

3.1.6 Reflection Coefficient

The reflection coefficient is used in physical and electrical engineering when

wave propagation in a medium containing discontinuities is considered. A reflection

coefficient describes either the amplitude or the intensity of a reflected wave relative

to an incident wave. The reflection coefficient is closely related to the transmission

coefficient.

In telecommunications, the reflection coefficient is the ratio of the amplitude

of the reflected wave to the amplitude of the incident wave. In particular, at a

discontinuity in a transmission line, it is the complex ratio of the electric field

strength of the reflected wave (E - ) to that of the incident wave (E + ). This is

typically represented with a r (capital gamma) and can be written as:

The reflection coefficient may also be established using other field or circuit

quantities.

The reflection coefficient can be given by the equations below, where Z, is

the impedance toward the source, Z I ~ is the impedance toward the load:

The absolute magnitude of the reflection coefficient (designated by vertical

bars) can be calculated from the standing wave ratio, SWR:

Page 22: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

S-parameter are used extensively in the design of microwave transistor

amplifier. the S-parameter of a transistor are readily measure using manufacture

specification[25]. The stability conditions and maximum gain of a transistor can be

found from its S-paramters. The input and output matching circuits are needed to

achieve a specified performance and can be designed from S-parameter using a

Smith Chart. All circuit responses also are calculate from the overall S-parameter.

An amplifier operating under linear (small signal) conditions is a good

example of a non-reciprocal network and a matched attenuator is an example of a

reciprocal network. In figure 3.5, assume that the input and output connections are to

ports 1 and 2 respectively which is the most common convention. The nominal

system impedance, frequency and any other factors, which may influence the device,

such as temperature, must also be specified. S-parameters are used to define input-

output relation of a network in the form of incident and reflected power.

Figure 3.5: Two-port network

I E i -1 E i2

z" -+ , + Za f I

Eil is incident voltage at input

Ei2 is incident voltage at output

is reflection voltage at input

Ei2 is reflection voltage at output

Z, is inertial impedance

i _j) !

E r2 1 I i

1

4-

E r l TNO-por t network

I L I i

Page 23: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

Here Ei and E, are the incident and reflected wave power respectively. The

normalization by square root of Z, makes the square of an and bn terms equal to

power of the incident and reflected wave respectively [19].

The two-port network shown in Fig. 3.5 can be described as:-

Where a,, represents the power wave travelling towards the two-port network

and b, is the power wave reflected back from the two-port network given by

SI1 is the input reflection coefficient, is the forward gain relating output to

input, S12 is the reverse transmission gain and S22 is the output reflection coefficient.

We may derive mathematical expressions for these terms as:-

Page 24: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

Four S-parameters will include in 2-port network are-

I. Sll.is the input port voltage reflection coefficient

11. SI2 is the reverse voltage gain

111. SZ1 is the forward voltage gain

N. S22 is the output port voltage reflection coefficient

The following information must be defined when specifying any S-parameter:

I. The characteristic impedance (often 50 R).

11. The allocation of port numbers.

111. Conditions which may affect the network, such as frequency,

temperature, control voltage, and bias current, where applicable.

3.1.8 Local power disturbance S-Parameter method

Lee suggests an analytical approach to evaluate IIP3 using a three point

small-signal analysis[26]. In the section, a fast small-signal S-parameter simulation-

based implementation of Lee's idea is proposed, call the Local Power Disturbance

S-parameter(LPDS) method. The main idea behind this method is that a disturbance

in the bias condition change the circuit gain. If the gain is exactly same for a small

change in circuit bias, the IIP3 point would at infinity. If the gain are different, a

finite ILP3 point exists.

Page 25: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

3.1.9 Stability

Before embarking on transistor design, it is important to determine the

stability of the transistor.There is two type of stability. There are unconditional

stability and conditional stability. The types of stability are:-

3.1.9.1 Unconditional stability:

The network is unconditionally stable if I Ti, 1 <1 and I Tmt 1 <1 for

all passive source and load impedances I Ts 1 <1 and I TL 1 <1

3.1.9.2 Conditional stability:

The network is conditionally stable if I Ti, 1 <1 andl TOut(<1 only

for a certain range passive source and load impedance. This case is

also referred to as potentially unstable.

Table 3.1 is the summary of the criteria to know of stability for transistor.

Table 3.1 : Stability and Criteria of transistor

Rollet's condition

Stability

Unconditionally stable

Potentially unstable

Stability Factor K = ~ - I S I I ~ - I S Z I ~ + I A ~ ~ > 1 2 I s 1 2 s 2 , I

Criteria

K > l & I A I l

K > l & I A l > l or K c l & J A J c l

Delta Factor A = S1,S2, - S12S2,

Page 26: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

Table 3.2 is the summary of equation that used for the unconditionally stable

transistor for the stability circle and the radius.

Table 3.2: Decision by stability circle

Cin is centre of output stability circle

Gout is centre of input stability circle

y, is radius of input stability circle

y,, is radius of output stability circle

Input stability circle

(Radius)

C, = (31 I - S*U )* (Center) l Sll l 2 - 1 A l 2

(a) ISnl < 1 (b) ISzI > 1

Figure 3.6: Output stability circle

Output stability circle

you, = 1- (Radius) I S 2 2 l 2 -ldI2

Cot = (Center) (s22 -As*ll)*

I S 2 2 l 2 -MI2

Page 27: A Low Noise Amplifier at 2.45GHz - Muhammad Fadhli b Abdul Rahman - TK7871.2.M43 2008

3.1.10 DC Biasing

In order to design a low noise amplifier, the transistor should be biased in

such that the minimum noise figure is as low as possible. The device width should be

chosen so that the optimum resistance is close to the driving resistance which

typically 50 Q. The minimum noise figure is independent of the device width. In

order to keep low or minimum noise figure, the cutoff frequency of the device should

be much higher than the operating fiequency [27].

The DC bias circuit is the main circuit to for transistor to operate. This DC

bias circuit also have an ability to be a switch for the amplifier circuit. This is

because if the current and voltage supplied to the transistor is very low, the transistor

will be not operating. For the transistor to be biased in its linear or active operating

region the following must be true:-

I. The base-emitter junction must be forward bias (p-region voltage must

positive) with a resulting forward-bias voltage of about 0.6 to 0.7 V.

11. The base-collector junction must be reserve biased ( n-region more

positive), with the reserve-bias voltage being any value within the

maximum limits of the device. n3