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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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