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    2.5G or even 3G networks. Along with this, interoperability of the networks has to be

    considered [3].

    1.1.1 FIRST GENERATION (1G)1G, which stands for "first generation," refers to the first generation of wireless

    telecommunication technology, more popularly known as cell phones. A set of wireless

    standards developed in the 1980's, 1G technology replaced 0G technology, which featured

    the mobile radio telephones and such technologies as Mobile Telephone System (MTS),

    Advanced Mobile Telephone System (AMTS), Improved Mobile Telephone Service (IMTS),

    and Push to Talk (PTT).

    Unlike its successor, 2G, which made use of digital signals, 1G wireless networks used

    analog radio signals. Through 1G, a voice call gets modulated to a higher frequency of about

    150MHz and up as it is transmitted between radio towers. This is done using a technique

    called Frequency-Division Multiple Access (FDMA) [4]. In terms of overall connection

    quality, 1G compares unfavorably to its successors. It has a low capacity, unreliable handoff,

    poor voice links, and no security at all since voice calls were played back in radio towers,

    making these calls susceptible to unwanted eavesdropping by third parties. Different 1G

    standard was used in various countries.

    Advanced Mobile Phone System (AMPS) was a 1G standard used in the United

    States.

    Nordic Mobile Telephone was a 1G standard used in Nordic countries (Denmark,

    Finland, Iceland, Norway and Sweden), as well as in its neighboring countries

    Switzerland and Netherlands, Eastern Europe, and Russia.

    Italy used a telecommunications system called RTMI.

    In the United Kingdom, Total Access Communication System was used.

    France used Radiocom 2000.

    1.1.2 SECOND GENERATION (2G)

    Second-generation (2G) mobile systems were introduced at the end of 1980s. Three primary

    benefits of 2G networks over their predecessors were that phone conversations were digitally

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    encrypted; 2G systems were significantly more efficient on the spectrum allowing for far

    greater mobile phone penetration levels; and 2G introduced data services for mobile, starting

    with SMS text messages. This 2G technology increase in the user capacity of around three

    times. Consequently, and compared with first-generation systems, higher spectrum

    efficiency, better data services, and more advanced roaming were offered by 2G systems [5].

    2G technologies can be divided into TDMA-based and CDMA-based standards depending

    on the type of multiplexing used. The main 2G standards are:

    GSM (TDMA-based), originally from Europe but used in almost all countries on

    all six inhabited continents. Today accounts for over 80% of all subscribers

    around the world. Over 60 GSM operators are also using CDMA2000 in the 450

    MHz frequency band (CDMA450).

    IS-95 (CDMA-based, commonly referred as simply CDMA in the US), used in the

    Americas and parts of Asia. Today accounts for about 17% of all subscribers

    globally. Over a dozen CDMA operators have migrated to GSM including

    operators in Mexico, India, Australia and South Korea.

    PDC (TDMA-based), used exclusively in Japan

    iDEN (TDMA-based), proprietary network used by Nextel in the United States

    and Telus Mobility in Canada

    IS-136 aka D-AMPS (TDMA-based, commonly referred as simply 'TDMA' in the

    US), was once prevalent in the Americas but most have migrated to GSM.

    2G services are frequently referred as Personal Communications Service (PCS), in the

    United States. 2G networks were built mainly for voice services and slow data transmission.

    Some protocols, such as EDGE for GSM and 1x-RTT for CDMA2000, are defined as "3G"

    services (because they are defined in IMT-2000 specification documents), but are considered

    by the general public to be 2.5G services (or 2.75G which sounds even more sophisticated)because they are several times slower than present-day 3G services.

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    2.5G (GPRS)

    2.5G is a stepping stone between 2G and 3G cellular wireless technologies. The term

    "second and a half generation" is used to describe 2G-systems that have implemented a

    packet switched domain in addition to the circuit switched domain. It does not necessarily

    provide faster services because bundling of timeslots is used for high speed circuit switched

    data services (HSCSD) as well.

    The first major step in the evolution of GSM networks to 3G occurred with the introduction

    of General Packet Radio Service (GPRS). CDMA2000 networks similarly evolved through

    the introduction of 1xRTT. The combination of these capabilities came to be known as 2.5G.

    GPRS could provide data rates from 56 kbit/s up to 115 kbit/s. It can be used for services

    such as Wireless Application Protocol (WAP) access, Multimedia Messaging Service

    (MMS), and for Internet communication services such as email and World Wide Web

    access. GPRS data transfer is typically charged per megabyte of traffic transferred, while

    data communication via traditional circuit switching is billed per minute of connection time,

    independent of whether the user actually is utilizing the capacity or is in an idle state.

    1xRTT supports bi-directional (up and downlink) peak data rates up to 153.6 bit/s,

    delivering an average user data throughput of 80-100 kbit/s in commercial networks [5,6]. Itcan also be used for WAP, SMS & MMS services, as well as Internet access.

    2.75G (EDGE)

    GPRS networks evolved to EDGE networks with the introduction of 8PSK encoding.

    Enhanced Data rates for GSM Evolution (EDGE), Enhanced GPRS (EGPRS), or IMT Single

    Carrier is a backward-compatible digital mobile phone technology that allows improved

    data transmission rates, as an extension on top of standard GSM. EDGE was deployed onGSM networks beginning in 2003initially by Cingular (now AT&T) in the United States

    [3].

    EDGE is standardized by 3GPP as part of the GSM family and it is an upgrade that provides

    a potential threefold increase in capacity of GSM/GPRS networks. The specification

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    achieves higher data-rates ( up to 236.8 kbit /s) by switching to more sophisticated methods

    of coding (8PSK), within existing GSM timeslots.

    1.1.3 THIRD GENERATION (3G)

    3G systems are an extension on the complexity of second generation systems and are already

    introduced. The system capacity is expected to be increased to over ten times original first

    generation systems. This is going to be achieved by using complex multiple access

    techniques such as Code Division Multiple Access (CDMA), or an extension of TDMA, and

    by improving flexibility of services available [6]. The main feature includes support for

    multimedia services, data transmission rate of at least 384kbit/Sec, and global roaming.

    Compared with the 1G and 2G, high-speed data transmission and broadband multimedia

    service can be achieved in the 3G communication system. However, because of differentstandards of regional communication systems, 3G is still unable to meet the future

    requirements of higher data transfer rates. The 3G cellular services know as a universal

    mobile telecommunication system (UMTS) or IMT-2000 will sustain high higher data rates

    and open the door to many Internet style applications. The main characteristics of IMT-2000

    3G systems are:

    A single family of compatible standards that can be used worldwide for all mobile

    applications.

    Support for both packet-switched and circuit-switched data transmission.

    Data rates up to 2 Mbps (depending on mobility).

    High spectrum efficiency.

    IMT-2000 is a set of requirements de-fined by the international telecommunication union

    (ITU). IMT stands for the international mobile telecommunication, and 2000 represent both

    the scheduled year for initial trial systems and the frequency range of 2000 MHz.

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    1.1.4 FOURTH GENERATION (4G)

    Therefore, 4G mobile communication system, with the OFDM modulation technique, started

    to enter the horizon and became a research hotspot. For high-volume and high-speed

    wireless mobile communication systems, OFDM is a promising modulation scheme, and will

    play an increasingly important role in the future development of wireless mobile

    communication networks.

    4G mobile communications will have transmission rates up to 20 Mbpshigher than of 3G.

    The technology is expected to be available by the year 2010. Presently, NTT DOCOMO and

    Hewlett-Packard are on their agenda to make it available by the year 2006. 4G is being

    developed with the following objectives:

    Speeds up to 50 times higher than 3G. However, the actual available bandwidth of 4G

    is expected to be about 10 Mbps.

    Three-dimensional virtual realityimagines personal video avatars and realistic

    holograms, and the ability to feel as if you are present at an event even if you are not.

    People, places, and products will be able to interact as the cyber and real worlds

    merge.

    Increased interaction between corroborating technologies; the smart card in yourphone will automatically pay for goods as you pass a linked payment kiosk, or will

    tell your car to warm up in the morning as your phone has noted you leaving the

    house.

    1.2 BRIEF HISTORY OF OFDM SYSTEMAlthough OFDM has only recently been gaining interest from the telecommunications

    industry, it has a long history of existence. It is reported that OFDM-based systems were in

    existence during the Second World War. OFDM had been used by the US military in several

    high-frequency military systems such as KINEPLEX, ANDEFT, and KATHRYN [6].

    KATHRYN used AN/GSC-10 variable rate data modem built for high-frequency radio.

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    In December 1966, Robert W. Chang1 outlined a theoretical way to transmit simultaneous

    data stream through linear band-limited channel without inter-symbol interference (ISI) and

    inter-carrier interference (ICI) [7]. Subsequently, he obtained the first US patent on OFDM

    in 1970. Around the same time, Saltzberg performed an analysis of the performance of the

    OFDM system [8]. Until this time, we needed a large number of subcarrier oscillators to

    perform parallel modulations and demodulations.

    A major breakthrough in the history of OFDM came in 1971 when Weinstein and Ebert used

    discrete Fourier transform (DFT) to perform baseband modulation and demodulation

    focusing on efficient processing [8]. This eliminated the need for a bank of subcarrier

    oscillators, thus paving the way for easier, more useful and efficient implementation of the

    system.

    All the proposals until this time used guard spaces in the frequency domain and a raised

    cosine windowing in the time domain to combat ISI and ICI. Another milestone for OFDM

    history was when Peled and Ruiz introduced cyclic prefix (CP) or cyclic extension in 1980

    [10]. This solved the problem of maintaining orthogonal characteristics of the transmitted

    signal at severe transmission conditions. The generic idea that they placed was to use cyclic

    extension of OFDM symbols instead of using empty guard spaces in the frequency domain.

    This effectively turns the channel as performing cyclic convolution, which provides

    orthogonality over dispersive channels when CP is longer than the channel impulse response

    [6]. It is obvious that introducing a CP causes loss of signal energy proportional to length of

    CP compared to symbol length, but, on the other hand, it facilitates a zero ICI advantage

    which pays off.

    By this time, inclusion of FFT and CP in OFDM system and substantial advancements in

    digital signal processing (DSP) technology made it an important part of telecommunicationslandscape. In the 1990s, OFDM was exploited for wideband data communications over

    mobile radio FM channels, high-bit-rate digital subscriber lines (HDSL at 1.6 Mbps),

    asymmetric digital subscriber lines (ADSL up to 6Mbps), and very-high-speed digital

    subscriber lines (VDSL at 100 Mbps). Digital audio broadcasting (DAB) was the first

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    commercial use of OFDM technology. Development of DAB started in 1987. By 1992, DAB

    was proposed and the standard was formulated in 1994. DAB services came to reality in

    1995 in the United Kingdom and Sweden [1]. The development of digital video broadcasting

    (DVB) started in 1993. DVB along with high-definition television (HDTV) terrestrial

    broadcasting standard was published in 1995. At the dawn of the 20th

    century, several

    wireless local area networks (WLAN) standards adopted OFDM on their physical layers.

    Development of European WLAN standard Hyper-LAN started in 1995. HIPERLAN/2 was

    defined in June 1999 which adopts OFDM in physical layer. IEEE 802.11a has also adopted

    OFDM in its PHY layer. Perhaps of even greater importance is the emergence of this

    technology as an enabler for future 4th generations (4G) wireless systems, such as IMT-A.

    These systems, expected to emerge by the year 2015, promise to at least deliver on the

    wireless Nirvana of anywhere, anytime, anything communications. OFDM promises to gain

    prominence in this arena; therefore, it is expected to become the technology of choice in

    most wireless links.

    1.3 THE PRINCIPLE OF OFDMOFDM is a multicarrier transmission technique, which divides the bandwidth into many

    carriers; each one is modulated by a low rate data stream. In terms of multiple access

    technique, OFDM is similar to FDMA in that the multiple user access is achieved by

    subdividing the available bandwidth into multiple channels that are then allocated to users

    [6]. However, OFDM uses the spectrum much more efficiently by spacing the channels

    much closer together. This is achieved by making all the carriers orthogonal to one another,

    preventing interference between the closely spaced carriers. The figure shows the difference

    between the conventional non-overlapping multicarrier technique and overlapping

    multicarrier modulation technique. As shown in figure 1.1, by using the overlapping

    multicarrier modulation technique, we save almost 50% of the bandwidth. To realize the

    overlapping multicarrier technique, however we need to reduce crosstalk between

    subcarriers, which means that we want orthogonality between the different modulated

    carriers.

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    Figure 1.1 Concept of OFDM Signal: Conventional Multicarrier Technique versus

    Orthogonal Multicarrier Technique

    The orthogonality of the carriers means that each carrier has an integer number of cycles

    over a symbol period. Due to this, the spectrum of each carrier has a null at the center

    frequency of each of the other carriers in the system. This results in no interference between

    the carriers, allowing them to be spaced as close as theoretically possible. This overcomes

    the problem of overhead carrier spacing required in FDMA. Each carrier in an OFDM signal

    has a very narrow bandwidth (i.e.1 kHz), thus the resulting symbol rate is low. This results

    in the signal having a high tolerance to multipath delay spread, as the delay spread must be

    very long to cause significant inter-symbol interference (e.g. > 500 sec).

    1.3.1 ORTHOGONALITY PRINCIPLE

    Two functions or signal is said to be orthogonal if they are mutually independent of eachother. Orthogonality is a property that allows multiple information signals to be transmitted

    perfectly over a common channel with the successful detection [11].

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    The principle of orthogonality state that if the time averaged integral of the product of any

    two factions from the set of functionalities {g1 (t), g2 (t), gN(t)} over a joint existence

    time interval [t1 .. t1+T] is equal to zero. Irrespective of the limit of existence of the

    function then the functions are said to be orthogonal to each other within this time interval

    [6].

    Similarly if the set of functions is to be an orthogonal set then they have to be orthonormal

    set then they have to be orthogonal as well as normalized.

    In the context of OFDM, the set of complex exponential function Defined overthe period [0, T] represent different subcarrier at for k=0 to k=N-1 using theexpression (1.1).

    1.4 APPLICATION OF OFDM

    OFDM is widely applied from theory to practice. In the past decade, the rapid development

    of large scale integrated circuit technology and the realization of a large numberpoints

    high-speed FFT promoted the wide application of OFDM theory. The first OFDM based

    standard was digital audio broadcasting (DAB) [12].

    1. OFDM is used in broadcast audio and video and civilian communications, includingasymmetric digital subscriber line (ADSL).

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    2. Digital audio broadcasting (DAB) [1,6]3. High definition television (HDTV)4. IEEE 802.11 [6]5. HIPERLAN/2 [6]6. Digital video broadcasting (DVB) [1]7. 4G LTE (Long Term Evolution)

    1.5 ADVANTAGES AND PROBLEMS OF OFDM1.5.1 Advantages

    OFDM has several advantages over single carrier modulation systems and these make it a

    viable alternative for CDMA in future wireless networks. Some of the advantages arediscussed below.

    OFDM is highly immune to multipath delay spread that causes inter-symbol

    interference in wireless channels. Since the symbol duration is made larger (by

    converting a higher data rate signal into a low rate signals), the effect of delay spread

    is reduced by the same factor. Also by introducing the concepts of guard time and

    cyclic extension, the effects of inter-symbol interference (ISI) and inter-carrier

    interference (ICI) can be removed completely.

    In the conventional FDM method, the frequency band is divided into several disjoint

    sub-frequency band to transmit parallel data streams, and separated to the various

    sub-channels at the receiver with a set of filters. Compared with this, the

    orthogonality of sub-carriers of OFDM system allows overlapping spectrum of sub-

    channels hence OFDM system can maximize the using of spectrum resources.

    In each sub-channel, IDFT and DFT can be used to achieve orthogonal modulation

    and demodulation. When N is a large number, we can use FFT to achieve. IFFT and

    FFT are very easy to implement using DSP technology.

    If the channel undergoes a frequency selective fading, then complex equalization

    techniques are required at the receiver for single carrier modulation techniques. But

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    in the case of OFDM the available bandwidth is split among many orthogonal

    narrowly spaced sub-carriers. Thus the available channel bandwidth is converted into

    many narrow flat- fading sub-channels. Hence it can be assumed that the subcarriers

    experience flat fading only, though the channel gain/phase associated with the sub-

    carriers may vary. In the receiver, each sub-carrier just needs to be weighted

    according to the channel gain/phase encountered with it. Even if some sub-carriers

    are completely lost due to fading, proper coding and interleaving at the transmitter

    can recover the user data.

    OFDM system can be easily combined with a variety of other access methods to form

    multi-carrier code division multiple access (MC-CDMA), frequency hopping OFDM.

    It allows multiple users to transmit information from OFDM technology

    simultaneously.

    Because the narrow-band interference can only affect a small part of the sub -carriers,

    the OFDM system can resist this narrow-band interference to some extent.

    1.5.2 MAJORPROBLEMS OF OFDM

    It is vulnerable to the impact of frequency deviation. Because of the time variability

    of the wireless channel, wireless signal frequency offset always occurs during

    transmission, such as Doppler frequency shift. Then the orthogonality between

    subcarriers of OFDM system will be destroyed, resulting in ICI between sub-

    channels. Hence sensitivity to the frequency deviation is the main drawback of

    OFDM system.

    There exists a problem of higher PAPR. Compared with the single-carrier system,

    because the output of multi-carrier modulation system is a superposition of multiple

    sub-channel signals, so if the phases of some signals are same, instantaneous signal

    power of the superposition of signals received will be far greater than the average

    power, which lead to larger PAPR. It needs higher level linear requirement for an

    amplifier of the transmitter. If the dynamic range of amplifier cannot meet the signal

    changes, it will bring the signal distortion, which could change the spectrum of the

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    signal. So, the orthogonality between different sub-channels will be destroyed,

    making the system performance worse.

    1.6 ORGANIZATION OF THESIS

    This thesis is organized as follows: In chapter 2, Literature survey which includes the

    characteristics of radio channel, basic OFDM system and channel estimation is discussed, In

    Chapter 3, an overview of different approaches of channel estimation in OFDM systems is

    presented and different channel estimation and interpolation techniques are discussed.

    Chapter 4 demonstrates Simulation. Chapter 5 concludes the thesis and areas for future work

    are also suggested.