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Radar Final

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    ACKNOWLEDGEMENT

    With immense pleasure, I would like to present this report for Siemens Ltd. It has

    been an enriching experience for me to undergo my summer training at SIEMENS,

    which would not have possible without the goodwill and support of the people

    around. As a student of Amity School of Engineering and Technology, I would

    like to express my sincere thanks to all those who helped me during my training

    period. I would like to give my heartily thanks to __________________who

    permitted me to get training at Siemens.

    As we know learning something new needs hard work, keen insight and long

    patience with scholarly vision based on content operation hence it becomes a

    humble duty to express my sincere gratitude to my supervisors_________

    Atlast but not least my grateful thanks to all my staff members, especially

    ________________________________for the proper guidance and assistance

    extended by them. I am also grateful to my parents and friends for encouraging me

    & giving me moral support.

    However, I accept the sole responsibility for any possible error of omission and

    would be extremely grateful to the readers of this project report if they bring such

    mistakes to my notice.

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    ABSTRACT

    In this report we have discussed about RADARS. Firstly we discussed about the

    interference in the radio signal sent by the radar these may suffer from theobjective that come in between the radar and the target. Their r clutters present

    which degrades the signal power in between and hence cause degradation of the

    required info. To remove this many techniques can be used as using high pitch of a

    signal or by increasing its bandwidth.Secondaly we have two types of radars such

    as the search and the tracking radar. These both radars play an important role in

    finding and destroying its enenmy.search radar searches for its enemy where as the

    tracking radar tracks the location of its enemy and destroys it when required. Then

    we moved on to multiple tracking radars which track more than one target. Which

    led to some problem of allocation of the measurement taken by radars and hence

    we use different data association techniques to resolve this problem of MTT.we

    discussed five of the techniques which helps us in allocating the desired

    measurement to the corresponding target. These techniques are divided into nearest

    neighbor and all neighbor .in the nearest neighbor technique only one value gets

    allotted in the end. Whereas all neighbor techniques allowed all possible values to

    the target after further calculations.

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    COMPANY PROFILE

    Introduction

    DRDO has constituted four research boards to nurture and harness talent inacademic institutions, universities, R&D centres and industry. The organization

    provides necessary facilities for promoting basic research and to catalyse cross-

    fertilization of ideas with R&D agencies in other sectors for expanding and

    enriching the knowledge base in their respective areas. The boards provide grants-

    in-aid for collaborative defence-related futuristic frontline research having

    application in the new world class systems to be developed by DRDO.

    Vision

    Make India prosperous by establishing world-class science and technology base

    and provide our Defense Services decisive edge by equipping them with

    internationally competitive systems and solutions.

    Mission

    Design, develop and lead to production state-of-the-art sensors, weaponsystems, platforms and allied equipment for our Defence Services.

    Provide technological solutions to the Defence Services to optimize combateffectiveness and to promote well-being of the troops.

    Develop infrastructure and committed quality manpower and build strongtechnology base.

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    Core Competence

    Deptt of Defence Research and Development (R&D) is working forindigenous development of weapons, sensors & platforms required by the

    three wings of the Armed Forces. To fulfill this mandate, Deptt of DefenceResearch and Development (R&D), is closely working with academic

    institutions, Research and Development (R&D) Centres and production

    agencies of Science and Technology (S&T) Ministries/Depts. in Public &

    Civil Sector including Defence Public Sector Undertakings & Ordnance

    Factories

    Defence Research &Development services

    Recruitment and selection of right people with desired competencies form

    the base of building an effective organization. Defence Research &Development Organization recruit/select scientists and engineers through an

    annual competitive examination at national level called Scientist Entry Test

    (SET) through open advertisement. In addition to this, talent search through

    campus interviews, scholarship scheme through Aeronautics Research &

    Development Board (ARDB) and fresh Ph.D scholars under Registration ofStudents with Scholastic Aptitude (ROSSA) is also launched.

    Institute for Systems Studies and Analyses (ISSA)

    Historical Background

    The origin of Institute for Systems Studies and Analyses (ISSA) dates back to 1959

    as Weapon Evaluation Group (WEG) of DRDO. As the activities of WEG

    increased, it was renamed as Scientific Evaluation Group (SEG) in 1963, and, later

    from the year 1968 it started functioning as Directorate of Scientific Evaluation

    (DSE) of DRDO Headquarters.

    Consequent to the reorganization of System Analysis activities within DRDO, in

    the year 1980, DSE was reorganized into ISSA located at Delhi with a Centre for

    Aeronautical Systems Studies and Analysis (CASSA) at Bangalore. CASSA was

    merged with ISSA during 2003.

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    ISSA has grown to be the nodal System Analysis Laboratory of DRDO

    specializing in System Analysis, Modeling and Simulation of Defence Systems as

    well as development of Computer Wagrams, Performance Evaluation and

    Systems Reliability Studies.

    Vision

    To be a leader in Systems Analysis, Modeling and Simulation of defence systems.

    Mission

    To Develop expertise and software for application in Decision Support Systems,

    Computer Wagrams and Weapon Systems Analyses.

    Institute for Systems Studies and Analyses (ISSA)

    Achievements

    -Performance Evaluation of defence systems in simulated combat environment

    -Analysis of tactical plans by Modeling & Simulation of Combat Dynamics

    -Combat Simulation and War gaming Software Development

    -Decision Support Systems using multidimensional databases

    -Reliability Evaluation and Life Data Analysis of Systems developed by sister labs

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    LIST OF CONTENTS

    SECTION TOPIC PAGE

    Certificate 2

    Abstract 3

    Companys profilr 4

    1.1 RADAR-introduction 9

    1.2 Limiting factors

    1. 2.1 interferrance1.2.2 clutter

    10

    1.3 Types of radar

    1.3.1search radar1.3.2 tracking radar

    11

    1.4 Target tracking radar(TTR) 14

    1.5 Multiple target tracking(MTT) 15

    1.6 Problems faced by MTT 16

    1.7 Techniques used 17

    1.8 Distances 17

    1.9 Explanation of the techniques

    1.9.1 multi hypothesis

    18-23

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    technique(MHT)

    1.9.2 probalistic (MHT)

    1.9.3 prabolistic data

    association(PDA)

    1.9.4 joint (PDA)

    1.9.5 nearest neighbor

    1.10 Explanation of distances

    1.10.1 mahalobian distance

    1.10.2 Euclidean distance

    24-25

    1.11 comparision 26-27

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    RADAR

    1.1 Introduction

    Radar is an object-detection system which uses electromagnetic wavesspecifically radio wavesto determine the range, altitude, direction, or speed of

    both moving and fixed objects such as aircraft, ships, spacecraft, guided

    missiles, motor vehicles, weather formations, and terrain. The radar dish, or

    antenna, transmits pulses of radio waves or microwaves which bounce off any

    object in their path. The object returns a tiny part of the wave's energy to a dish or

    antenna which is usually located at the same site as the transmitter

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    Practical radar was developed in secrecy during World War II by Britain and other

    nations. The termRADAR was coined in 1940 by the U.S. Navy as an

    acronym forradiodetectionandranging. The term radarhas since entered the

    English and other languages as the common noun radar, losing all capitalization.

    In the United Kingdom, the technology was initially called RDF (range anddirection finding), using the same initials used for radio direction finding to

    conceal its ranging capability.

    1.2 Limiting factors

    1.2.1 Interference

    Radar systems must overcome unwanted signals in order to focus only on the

    actual targets of interest. These unwanted signals may originate from internal and

    external sources, both passive and active. The ability of the radar system to

    overcome these unwanted signals defines its signal-to-noise ratio (SNR). SNR is

    defined as the ratio of a signal power to the noise power within the desired signal.

    In less technical terms, SNR compares the level of a desired signal (such as targets)

    to the level of background noise. The higher a system's SNR, the better it is inisolating actual targets from the surrounding noise signals.

    1.2.2 Clutter

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    Clutter refers to radio frequency (RF) echoes returned from targets which are

    uninteresting to the radar operators. Such targets include natural objects such as

    ground, sea, precipitation (such as rain, snow or hail), sand storms, animals

    (especially birds), atmospheric turbulence, and other atmospheric effects, such

    as ionosphere reflections.

    PPI DISPLAY

    Some clutter may also be caused by a long radar waveguide between the radar

    transceiver and the antenna. In a typical plan position indicator (PPI) radar with a

    rotating antenna, this will usually be seen as a "sun" or "sunburst" in the centre of

    the display as the receiver responds to echoes from dust particles and misguided

    RF in the waveguide. Adjusting the timing between when the transmitter sends a

    pulse and when the receiver stage is enabled will generally reduce the sunburst

    without affecting the accuracy of the range, since most sunburst is caused by a

    diffused transmit pulse reflected before it leaves the antenna.

    While some clutter sources may be undesirable for some radar applications (such

    as storm clouds for air-defence radars), they may be desirable for others. Clutter is

    considered a passive interference source, since it only appears in response to radarsignals sent by the radar.

    1.3 Types Of Radar

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    1. Search radar

    2. Tracking radar

    1.3.1 SEARCH RADAR

    The Search Radar, as the name says SEARCH. Hence it searches the object around

    itself. The main operation of the search radar is to make and update its search table.

    By the time it found a object it reports to the tracking radar (explained below).the

    search radar doesnt recognize whether it has detected its enemy or friend .it just

    sends its information to the tracking radar .its sensor gets activated after every

    allotted time to search for the object around. As it has a long range it can easily

    detect an object or target from a long distance. But it is unable to decide whether

    its a moving orstationary .hence it informs tracking radar for further details.

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    1.3.2TRACKING RADARS

    Tracking radars have a pencil beam to receive echoes from a single target and track

    the target in angle, range, and/or Doppler. Its resolution celldefined by its

    antenna beam width, transmitter pulse length (effective pulse length may be shorter

    with pulse compression), and/or Doppler bandwidthis usually small compared

    with that of a search radar and is used to exclude undesired echoes or signals from

    othertargets, clutter, and countermeasures. Electronic beam-scanning phased arrayradars may track multiple targets by sequentially dwelling upon and measuring

    each target while excluding other echo or signal sources.

    Because of its narrow beam width, typically from a fraction of 1 to 1 or 2,

    tracking radars usually depend upon information from a surveillance radar or other

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    source of target location to acquire the target, i.e., to place its beam on or in the

    vicinity of the target before initiating a track. Scanning of the beam within a

    limited angle sector maybe needed to acquire the target within its capture beam and

    center the range-tracking gates on the echo pulse prior to locking on the target or

    closing the tracking loops. The gate acts like a fast-acting on-off switch that turnsthe receiver on at the leading edge of the target echo pulse and off at the end of

    the target echo pulse to eliminate undesired echoes. There present a missile fight

    path which allows the target beam not to scatter and hence helps in locating the

    target x at any desired range.

    1.4. TARGET TRACKING RADAR (TTR)

    1. PURPOSE. The target ranging radar (TRR) Furnishes target range data to the

    computer when enemy approaches. It actually ensures every moment of the enemy

    and makes it data base updated. It firstly determines the range and then keeps a

    track so that it can destroy its enemy when required. Hence it provides safety to the

    environment for which it is working.

    2 . CAPABILITIES. The TTR uses the designated target position data

    (supplied by whichever acquisition radar is in use) t o automatically slew

    the target track antenna to the range and azimuth of the target. The operator,

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    using manual antenna controls, searches forthe target in elevation. The. TTR

    tracks the target, supplying accurate elevation, azimuth, and slant range data to

    the computer system in the trailer mounted director s t a t ion. The TTR system

    is synchronized with the selection acquisition radar system to permit simultaneous

    display of acquisition and target track information and to permit rapid transferof the target position data t o the TTR system. Transfer of target azimuth and

    range data is accomplished by automatic , antenna azimuth and range slewing

    after operating the DESIGNATE switch in the battery control van and the

    ACQUIRE switch in the radar control van. Provision is made for manual,

    aided, or automatic tracking of the target in azimuth and elevation. Four

    modes of target tracking in range are provided: manual, acquisition aid, track

    aid, and automatic. Once acquired, the TTR system continues t o track the

    target and supply the computer with position data until the target is abandoned.

    1.5 MULTIPLETARGET TRACKING

    MULTITARGET tracking (MTT) deals with the state estimation of an unknown

    number of moving targets. Available measurements may both arise from the

    targets, if they are detected, and from clutter. Clutter is generally considered to be a

    model describing false alarms. Its statistical properties are quite different from

    those of the target, which makes the extraction of target tracks from clutter

    possible. To perform multimarket tracking, the observer has at his disposal a huge

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    amount of data, possibly collected on multiple receivers. Elementary

    measurements are receiver outputs, e.g., bearings, ranges, time-delays, Doppler,

    etc.

    1.6 PROBLEMS

    Radar can suffer from problem too. The main difficulty, however, comes from the

    assignment of a given measurement to a target model. These assignments are

    generally unknown, as are the true target models. Taking an example if thetracking radar is used for tracking 4 objects simultaneously it will measures its

    components (either x,y,z or R,Q,,v).where the symbols have their usual

    meanings. For the time T1 it takes the reading of all the components of all four

    objects and maintains a data sheet to store the result. At time T2 when again it

    measures the value of the components it will not able to judge which component is

    associated with which object as it is not mandatory that it wil select 1st

    object for

    1st

    reading. Hence am ambiguous situation occurs where it cannot judge the

    required component and its object. To remove this problem MTT uses dataassociation techniques. These techniques are being widely used in present

    Some of the techniques are listed below

    1.7 TECHIQUES

    1. Multi-hypothesis tracking (MHT)

    2. ProbabilisticMHT (PMHT)

    3. Joint probabilistic data association (JPDA)

    4. Probabilistic data association

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    5. nearest neighbor

    1.8 DISTANCES

    1. mahalanobis distance

    2. Euclidean distance

    1.9 EXPLANATION OF VARIOUS TECNIQUES

    1.9.1Multi-hypothesis tracking (MHT)

    Multi-hypothesis tracking technique is one of the data association technique .Multi

    means many and hypothesis means assumption. Here user makes lots of

    hypothetical possibilities which can match to the final estimate result. as the

    tracking radar tracks the multi objects, before getting to the estimated result user

    predicts its possible result depending upon the previous observation. Then if the

    result matches or comes nearby to the one measured, the values are accordingly

    allotted.

    This technique can be best explained by an example as follows

    For an instant time T1 let we get three readings of the range of three targets. And

    in time T2 we get four readings of the same three targerts, hence it has been

    estimated that the extra reading we have got is because of a clutter or some other

    target which is useless to us. Hence in order to estimate which reading corresponds

    to which target we make possible assumptions.

    Let the three readings that v got in time T1 are r1, r2 and r3, that time it wasestimated that r1 corresponds to target 1 ,r2 to target2 and re to target3 .but at

    instant T2 we get r1,r2,r3,r4.where it was not necessary that they arrive in the same

    order as earlier .hence v have to estimate the value to the respective targets .for this

    the required assumptions are

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    T1 T2 T3 Clutter

    R1 R2 R3 R4

    R1 R2 R4 R3

    R1 R3 R4 R2

    R1 R3 R2 R4R1 R4 R3 R2

    R1 R4 R2 R3

    R2 R1 R3 R4

    R2 R1 R4 R3

    R2 R3 R1 R4

    R2 R3 R4 R1

    R2 R4 R1 R3

    R2 R4 R3 R1

    R3 R4 R1 R2

    R3 R4 R2 R1

    R3 R2 R1 R4

    R3 R2 R4 R1

    And hence many more assumptions can me made using these orders. these are all

    called hypothetical assumptions which later get checked and allotted to the desired

    target.

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    Here presents a figure which shows the multiple hypothesis of a target

    Here T represents a targetNT represents a new target

    H represents a hypotheses

    FA is the false alarm

    1.9.2 ProbabilisticMHT (PMHT)

    Probabilistic Multi-Hypothesis Tracking (PMHT) is an algorithm for

    tracking multiple targets when measurement-to-target assignments areunknown and must be estimated jointly with the target tracks. The drawback

    of MHT was it can allow only one measurement of a target, whereas here

    PMHT allows more than one measurement of the target to be observed with

    the measurements being independent of each other. An important

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    modification of PMHT to utilize echo amplitude information in addition to

    range and bearing measurements.

    For example

    As in the above example only range of the target was calculated. But here

    with the range we can determine the velocity or angle .though same

    hypothetical assumptions are to be made for different readings. But all these

    readings are independent from each other

    If for time T1 we wish to get range as well as the velocity of three targets

    we will get 6 different readings R1,R2,R3 and V1,V2,V3.where R represents

    range and V represents velocity, where R and V are independent of each

    other. A separate table for every measurement is to be maintained. With the

    help of the table we can estimate the correct value of the respective targets.

    1.9.3 nearest neighbor

    Nearest neighbor is the oldest technique for solving the problem of multiple targetdata association. In this technique the most closest match to the predicted and the

    obtained value is being allotted to the respective target. There are many possible

    and many close values are being obtained during the process and the nearest

    neighbor hence ambiguity occurs which is removed by calculating the distance

    between all the obtained and predicted values nearby and hence the best one gets

    allotted.

    Taking an example

    As seen in the figure below.

    let T1 ,T2 and T3 are the predicted reading of three targets present and x1 to x9

    are the obtained reading that we get back after tracking, as there are only 3 targets

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    6+3+3=12

    Hence 11 is the smallest sum therefore

    Target 1 gets the value of x1

    Target 2 gets x3

    And target 3 gets the value of x8 depending upon the predicted value T1,T2,T3.

    All neighbor techniques

    Given below PDA and JPDA techniques are also called all neighbor technique as it

    allots all the possible neighbor of the given value and doesnt work upon the past

    observations.

    1.9.4 Probabilistic data association (PDA)

    PDA is the data association technique which ponders upon only on the single target

    tracking. It includes more than one measurement tracker technique like PMHT but

    only for a single target. Hence this has been less used now. Here the approach

    starts as when at time T1 r,q,v of the target has been read then it may be possible

    that at time T2 more than one reading of r that is range gets detected this problem

    hence been solved as follows

    Firstly the possible value being written depending upon the value at T1 then the

    observed 2 values of r being read and checked which one is the closest as a

    window get formed on the basis of the predicted value. If the observed values are

    within the window then the values are considered and hence an average has been

    taken out of the predicted as well as the observed value which is hence called the

    estimated value of the target. Hence the problem of the value estimation can be

    easily done.

    Example for better analyzing

    Let at time T1 the range of a target comes out to be 169.at time T2 ,firstly the

    predicted value gets estimated that is 170 which comes out depending upon the

    value at T1.the observed values comes out to be 167,168,171,172 ,187.hence a

    window has been formed between 167-173.therefore values outside the window

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    gets discarded. Like 187 in this case now the analysis is between the four readings,

    now this value is multiplied by a weighted quantity (w) like in this case if we let

    that the w-distance between the observed and predicted value. Hence in this PDA

    only the present values are being used ,there is no need to store the past

    observation.

    167 would have w as 3

    168 -2

    171-1

    172-3

    Hence by the formula

    Value = o1*w1 +o2*w2/w1+w2

    Hence the value comes out to be 170.5

    Where o1- observation 1

    And w1- weight alloted 1

    1.9.5 Joint probabilistic data association (JPDA)

    This technique is the extension of PDA described above .the extension lies as this

    can work on multiple target tracking. In this technique one or more measurements

    of one or more target can me estimated. This is the most frequent technique used

    nowadays. Here a table is maintained for different measurements of different

    target.

    This technique can be best explained via an example.

    As this technique deals with one or more target let we have to find out the

    velocity(V) and the distance(D) of 2 targets .At time T1 the V and D taken out to

    be 15m/s,20m/s and 120m,60m respectively of the 2 targets.now at the time T2 the

    velocity and the distance predicted and observed of the two targets were

    TIME PREDICTED OBSERVED

    VELOCITY DISTANCE VELOCITY DISTANCE

    T2 15 121 17,20,19,25,15,14 125,60,55,54,122,62

    21 61

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    As now from the table it can be seen that there are only two targets therefore

    predicted readings are just 2 but the observed readings are more than 2 hence there

    must be clutter around .therefore it is required to estimate the possible value of the

    given 2 targets. This estimation required further calculations as stated below

    Now the first thing to do is form a window

    VELOCITY WINDOW DISTANCE WINDOW

    TARGET 1 13-17 119-122

    TARGET2 19-22 55-65

    Now the readings outside this window are discarded. Hence the possible readings

    left are

    VELOCITY DISTANCE

    TARGET1 14,15,17 122

    TARGET2 19,20 55,60,62

    Now we choose the closest value to the predicted one

    VELOCITY WEIGHT ALLOTED

    TARGET1

    14 2

    15 1

    17 4

    DISTANCE

    122 1

    TARGET2

    VELOCITY

    19 2

    20 1

    DISTANCE

    55 6

    60 1

    62 1

    Now for the estimation of the values of the targets we use the following formula

    Value = o1*w1 +o2*w2/w1+w2

    Where o1- observation 1

    And w1- weight alloted 1

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    hence the estimate values of the 2 targets are

    VELOCITY DISTANCETARGET1 15 121.5

    TARGET2 20.75 60.75

    1.10 DISTANCE USED INDETERMININ THE ESTIMATE VALUE

    1.10.1 Mahalanobis distance

    There is always a distance between the predicted and the observed value.this

    distance is called the mahalanobis distance. The smaller the distance ,the morelikely it is to have originated from the target. The further predicted values also

    depends upon this mahalanobis distance. Consider the case in which n geometric

    features are being tracked and n measurements are found in the next image frame.

    In principle, any measurement vector might have originated from any geometric

    feature and there are 2^n possible combinations of assignments. The distance

    measure is therefore needed to quantify this likelihood. Hence this distance plays a

    vital role in estimation of the correct value.

    Where x is the predicted value

    = observed value

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    S is the possible value matrix.

    1.10.1Euclidean distance

    This is the "ordinary" distance between two points that one would measure with a

    ruler, and is given by the Pythagorean formula.

    Here d is the Euclidean distance

    P is the predicted value

    q Is the observed value

    This distance is also used for estimation of the value. The smaller the distance

    between the predicted and the observed value, the better it is.

    COMPARISION BETWEEN THE TECNIQUES

    ADVANTAGE LIMITATION SCENERIO

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    MHT It can automaticallycorrect the errors if

    occurs.

    It has tocompute

    multiple

    answers

    Morememory

    requirement

    .

    Best resultwith less

    targets

    And withless clutter

    Air to airoperation

    PMHT Can be used tomeasure multiple

    targets

    Morememory

    space

    Air to airoperation

    PDA Recursive in nature No need to store

    past observation

    and multiple

    hypothesis

    Used foronly single

    target

    Noexplicitly

    provision

    for track

    initiation

    and

    deletion.

    JPDA Used for multipletarget

    Independent ofclutter

    No need to storepast observation

    and multiple

    hypothesis

    Noexplicitly

    provisionfor track

    initiation

    and

    deletion.

    High falsetarget

    density Dominant

    use in

    SONAR

    Air toground

    operation

    NEAREST

    NEIGHBOR

    Computationallyefficient

    Less memoryrequirement

    Misscorrelation

    affectsadversely

    Morepossibilities

    of track

    loss.

    Used for theplaces where

    there aremore targets

    and clutter.

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