Secure communications over wireless broadcast networks

“SECURE COMMUNICATIONS OVER WIRELESS
BROADCAST NETWORKS”

A Seminar Report

Submitted by

N.NAVEEN KUMAR
(09751A0573)

In partial fulfillment for the award of the degree

of
BACHELOR OF TECHNOLOGY
IN
COMPUTER SCIENCE AND ENGINEERING

At

SREENIVASA INSTITUTE OF TECHNOLOGY AND
MANAGEMENT STUDIES,CHITTOOR-517127
(Affiliated to J.N.T.U Anantapur & Accredited by NBA, New Delhi)

DEC – 2012

1

SREENIVASA INSTITUTE OF TECHNOLOGY AND
MANAGEMENT STUDIES
(Affiliated to J.N.T.U Anantapur & Accredited by NBA, New Delhi)

Thimmasamudhram, Chittoor - 517127

DEPARTMENT OF COMPUTER SCIENCE AND ENGINEERING

CERTIFICATE

This is to certify that the seminar entitled “SECURE COMMUNICATIONS
OVER WIRELESS BROADCAST NETWORKS” that is being submitted by
Mr.N.NAVEEN KUMAR, bearing roll no 09751A0573 in partial fulfillment of degree
of IV B.Tech in CSE to JNTU Anantapur is a record of bonafied work carried by him
under my supervision.

1.

2.

3.

Seminar Supervisors Head of the Department

2

TABLE OF CONTENTS

S NO. TITLE PAGE NO.

1. Introduction 6

2. Types Of Wireless Network 8

3. Model 12

4. Analysis 16

5. Uses 22

6. Applications Of Wireless Networks 25

7. Conclusion 28

8. References 29

3

ABSTRACT

Wireless telecommunications is the transfer of information between two or more points
that are not physically connected. Distances can be short, such as a few meters for
television remote control, or as far as thousands or even millions of kilometers for deep-
space radio communications. In this paper wireless broadcast network model(WBN) with
secrecy constraints is investigated, in which a source node broadcasts confidential
message flows to user nodes, with each message intended to be decoded accurately by
one user and to be kept secret from all other users. In the existing system we developed,
and implemented a compromised router detection protocol (DP) that dynamically infers,
based on measured traffic rates and buffer sizes, the number of congestive packet losses
(CPL) that will occur. Each and every packet is encrypted so that to prevent the data from
eavesdropping. So the data is much secured. Once the ambiguity from congestion is
removed, subsequent packet losses can be attributed to malicious actions, still existing
system is a good experiment but it will take more time while it’s in the process. So to
overcome this along with the queue method we proposing shortest seek first algorithm
(SSFA) for the better results to overcome the drawback of lacking time.

4

ACKNOWLEDGEMENT

The satisfaction that accompanies the successful completion of task would be
incomplete without mention of the people who made it possible with constant guidance
and encouragements crown all efforts with success.

We thank our principal Dr. T. SAI RAMA for having provided all the facilities and
support in completing our project successfully.

We are extremely thankful to Dr. M. GIRI, M.TECH, PhD, head of the department,
computer science and engineering for his valuable guidance and constant
encouragement given to us during this work.

Last but not least we thank our CSE staff members, lab assistants, parents and friends
for the valuable support given to us during the work.

N.NAVEEN KUMAR

(09751A0573)

5

1 .INTRODUCTION

Wireless operations permit services, such as long range communications, that are
impossible or impractical to implement with the use of wires. The term is commonly used
in the telecommunications industry to refer to telecommunications systems (e.g. radio
transmitters and receivers, remote controls, computer networks, network terminals, etc.)
which use some form of energy (e.g. radio frequency (RF),acoustic energy, etc.) to
[1]
transfer information without the use of wires. Information is transferred in this manner
over both short and long distances. Wireless networking (i.e. the various types of
unlicensed 2.4 GHz WiFi devices) is used to meet many needs. Perhaps the most
common use is to connect laptop users who travel from location to location.[1] Another
common use is for mobile networks that connect via satellite. A wireless transmission
method is a logical choice to network a LAN segment that must frequently change
locations. The following situations justify the use of wireless technology:

 To span a distance beyond the capabilities of typical cabling,
 To provide a backup communications link in case of normal network failure,
 To link portable or temporary workstations,
 To overcome situations where normal cabling is difficult or financially impractical,
or
 To remotely connect mobile users or networks.

6

1.1 MODES: Wireless communications can be via:

 radio frequency communication,

 microwave communication, for example long-range line-of-sight via highly
directional antennas, or short-range communication,

 Infrared (IR) short-range communication, for example from consumer IR devices
such as remote controls or via Infrared Data Association (IrDA).

Applications may involve communication, point, broadcasting, cellular networks and
other wireless networks.

1.2 CORDLESS: The term "wireless" should not be confused with the term "cordless",
which is generally used to refer to powered electrical or electronic devices that are able to
operate from a portable power source (e.g. a battery pack) without any cable or cord to
limit the mobility of the cordless device through a connection to the mains power supply.

Some cordless devices, such as cordless telephones, are also wireless in the sense that
information is transferred from the cordless telephone to the telephone's base unit via
some type of wireless communications link. This has caused some disparity in the usage
of the term "cordless".

7

2. TYPES OF WIRELESS NETWORKS

Wireless PAN:

Wireless personal area networks (WPANs) interconnect devices within a relatively
small area, that is generally within a person's reach. For example, both Bluetooth radio
and invisible infrared light provides a WPAN for interconnecting a headset to a laptop.
ZigBee also supports WPAN applications. Wi-Fi PANs are becoming commonplace
(2010) as equipment designers start to integrate Wi-Fi into a variety of consumer
electronic devices. Intel "My WiFi" and Windows 7 "virtual Wi-Fi" capabilities have
made Wi-Fi PANs simpler and easier to set up and configure.

Wireless LAN

Main article: Wireless LAN: A wireless local area network (WLAN) links two or more
devices over a short distance using a wireless distribution method, usually providing a
connection through an access point for Internet access. The use of spread- spectrum or
OFDM technologies may allow users to move around within a local coverage area, and
still remain connected to the network.

Products using the IEEE 802.11 WLAN standards are marketed under the Wi-Fi brand
name. Fixed wireless technology implements point-to-point links between computers or
networks at two distant locations, often using dedicated microwave or modulated laser
light beams over line of sight paths. It is often used in cities to connect networks in two
or more buildings without installing a wired link.

8

Wireless mesh network

Main article: wireless mesh network : A wireless mesh network is a wireless network
made up of radio nodes organized in a mesh topology. Each node forwards messages on
behalf of the other nodes. Mesh networks can "self heal", automatically re-routing around
a node that has lost power.

Wireless MAN

Wireless metropolitan area networks are a type of wireless network that connects several
wireless LANs.

Wireless WAN

Wireless wide area networks are wireless networks that typically cover large areas, such
as between neighboring towns and cities, or city and suburb. These networks can be used
to connect branch offices of business or as a public internet access system. The wireless
connections between access points are usually point to point microwave links using
parabolic dishes on the 2.4 GHz band, rather than unidirectional antennas used with
smaller networks. A typical system contains base station gateways, access points and
wireless bridging relays. Other configurations are mesh systems where each access point
acts as a relay also. When combined with renewable energy systems such as photo-
voltaic solar panels or wind systems they can be stand alone systems.

9

Cellular network Main article: cellular network

FIG 1: Top of a cellular radio tower

A cellular network or mobile network is a radio network distributed over land areas
called cells, each served by at least one fixed-location transceiver, known as a cell site
or base station. In a cellular network, each cell characteristically uses a different set of
radio frequencies from all their immediate neighboring cells to avoid any interference.

10

When joined together these cells provide radio coverage over a wide geographic area.
This enables a large number of portable transceivers (e.g., mobile phones, pagers, etc.) to
communicate with each other and with fixed transceivers and telephones anywhere in the
network, via base stations, even if some of the transceivers are moving through more than
one cell during transmission.

Although originally intended for cell phones, with the development of smart phones,
cellular telephone networks routinely carry data in addition to telephone conversations:

 Global System for Mobile Communications (GSM): The GSM network is divided
into three major systems: the switching system, the base station system, and the
operation and support system. The cell phone connects to the base system station
which then connects to the operation and support station; it then connects to the
switching station where the call is transferred to where it needs to go. GSM is the
most common standard and is used for a majority of cell phones.

 Personal Communications Service (PCS): PCS is a radio band that can be used by
mobile phones in North America and South Asia. Sprint happened to be the first
service to set up a PCS.

 D-AMPS: Digital Advanced Mobile Phone Service, an upgraded version of
AMPS, is being phased out due to advancement in technology. The newer GSM
networks are replacing the older system.
11

3. MODEL

Our proposed model is shortest seek first algorithm it scans the request queue for the
request that is nearest the head and serves that request first.

This algorithm minimizes the total seeking that the head must perform

 This algorithm can allow requests to starve. If new requests keep coming in that
are near the current position of the head at a sufficient rate, the disk head will never
move near enough to other requests to service them.

This is a direct improvement upon a first-come first-served (FIFO) algorithm. The drive
maintains an incoming buffer of requests, and tied with each request is a cylinder number
of the request. Lower cylinder numbers indicate that the cylinder is closer to the spindle,
while higher numbers indicate the cylinder is farther away. The shortest seek first
algorithm determines which request is closest to the current position of the head, and then
services that request next.

12

Fig 4:Shortest seek first scheduling algorithm.

We consider the -user fading broadcast network (see Fig. 1), in which a
source node transmits confidential messages to user nodes. Each message is
intended for one user and needs to be kept secret from all other nodes. Hence, with
regard to one message, all users other than its intended receiver are considered to
be eavesdroppers. We assume that the channel from the source node to the users is
a fading broadcast channel, in which the channel outputs at each user are corrupted
by a multiplicative fading gain process in addition to an additive white Gaussian
noise process.
The channel input–output relationship is given by

yin=hin . xn+ win for 1≤ I ≤ k ……..(1).

Where denotes the th user, and denotes the n th symbol time instant. At the symbol
time instant, is the channel input from the source, is the channel output at user , is
the source-to-user channel gain coefficient, and is the noise term at user . We
13

define, and assume is a stationary and periodic vector proper complex random
process. We assume that the channel state information (i.e., the realization of ) is
known at both the source node and the corresponding receivers. Here, the fading
coefficients across users are not necessarily independent, and nor are they
necessarily identically distributed. It will be as long as the channel state
information is known, only the marginal channel distributions to individual users
affect the performance of the network. The noise processes for are independent
identically distributed (i.i.d.) proper complex Gaussian processes with zero means
and unit variances. The input sequence {Xn} is subject to the average power
constraint, i.e.,
1
≤
1/N. N P………….(
= =1 E X2n 2).

The secrecy capacity region is defined to be the set that includes all achievable rate
vectors such that perfect secrecy can be achieved. Since the source node has access
to the channel state information, the source can dynamically change its
transmission power as the channel state varies at the symbol time level. Each rate
vector in the secrecy capacity region is a service rate allocation among users and is
achieved by a corresponding power control policy at the source node.

We assume that the source node maintains one queue for each message flow
if it is not served immediately. We first consider the case in which the arrivals of
the message flows are on the packet time scale, and are assumed to be random and
independent of each other. We use to denote an arrival rate vector at packet time
slot, with each component representing the arrival rate of one queue at packet time
14

slot. The system is stochastically stable if no queue builds to infinity. We use the
vector to denote the queue length vector at packet time slot, with each component
denoting the queue length for the th queue. We note that each packet time slot
contains a large number of symbol time slots, during which the channel state
changes in a stationary and ergodic manner. For each packet time slot, the rate
scheduling at the source node is accomplished by choosing a secrecy rate vector as
a service rate vector, which is achieved by a corresponding power control policy at
the symbol time level. The stability region is defined to include all arrival rate
vectors that can be stabilized by a rate scheduling algorithm.[13]

In the second case, we assume that associated with each user, a standard -fair
utility function is given by

…………. (3).

where denotes the rate at which the source node generates the messages for user .
The objective is to control arrival rate vectors for users properly so that the
following network utility function is maximized, i.e.,

15

4. ANALYSIS

The shortest seek first algorithm has the direct benefit of simplicity and is clearly
advantageous in comparison to the FIFO method, in that overall arm movement is
reduced, resulting in lower average response time. However, since the buffer is
always getting new requests, these can skew the service time of requests that may
be farthest away from the disk head's current location, if the new requests are all
close to the current location; in fact, starvation may result, with the faraway
requests never being able to make progress. The elevator algorithm is one way of
reducing arm movement/response time, and ensuring consistent servicing of
requests.

The elevator algorithm (also SCAN) is a disk scheduling algorithm to determine
the motion of the disk's arm and head in servicing read and write requests. This
algorithm is named after the behavior of a building elevator, where the elevator
continues to travel in its current direction (up or down) until empty, stopping only
to let individuals off or to pick up new individuals heading in the same direction.
From an implementation perspective, the drive maintains a buffer of pending
read/write requests, along with the associated cylinder number of the request.
Lower cylinder numbers indicate that the cylinder is closest to the spindle, and
higher numbers indicate the cylinder is further away. When a new request arrives
while the drive is idle, the initial arm/head movement will be in the direction of the
cylinder where the data is stored, either in or out. As additional requests arrive,

16

requests are serviced only in the current direction of arm movement until the arm
reaches the edge of the disk. When this happens, the direction of the arm reverses,
and the requests that were remaining in the opposite direction are serviced, and so
on.

VARIATIONS: One variation of this method ensures all requests are serviced in
only one direction, that is, once the head has arrived at the outer edge of the disk, it
returns to the beginning and services the new requests in this one direction only (or
vice versa). This is known as the "Circular Elevator Algorithm" or C-SCAN. This
results in more equal performance for all head positions, as the expected distance
from the head is always half the maximum distance, unlike in the standard elevator
algorithm where cylinders in the middle will be serviced as much as twice as often
as the innermost or outermost cylinders.

Other variations include :

 FSCAN: FScan is a disk scheduling algorithm to determine the motion of the
disk's arm and head in servicing read and write requests. It uses two subqueues.
During the scan, all of the requests are in the first queue and all new requests are
put into the second queue. Thus, service of new requests is deferred until all of the
old requests have been processed. When the scan ends, the arm is taken to the first
queue entries and is started all over again.

Analysis: FSCAN along with N-Step-SCAN prevents "arm stickiness" unlike
SSTF, SCAN, and C-SCAN. Arm stickiness in those other algorithms occurs when
a stream of requests for the same track causes the disk arm to stop progressing at
17

that track, preferring to satisfy the no-seek requests for the track it is on. Because
FSCAN separates requests into two queues, with new requests going into a waiting
queue, the arm continues its sweep to the outer track and is therefore not "sticky."
There is an obvious trade-off in that the requests in the waiting queue must wait
longer to be fulfilled, but in exchange FSCAN is more fair to all requests.
 LOOK (and C-LOOK): LOOK is a disk scheduling algorithm used to determine
the order in which new disk read and write requests are processed. LOOK is
similar to SCAN in that the heads sweep across the disk surface in both directions
performing reads and writes. However, unlike SCAN, which visits the innermost
and outermost cylinders each sweep, LOOK will change directions when it has
reached the last request in the current direction.[15]

Variant: One variant of LOOK is C-LOOK, which fulfills requests in one
direction only. That is, C-LOOK starts at the innermost cylinder requested and
moves outward fulfilling requests until it reaches the last request. Then it moves
directly back to the innermost request and starts fulfilling requests moving outward
again.
Performance: LOOK has slightly better average seek times than SCAN. C-LOOK
has a slightly lower variance in seek time than LOOK since the worst case seek
time is nearly cut in half.

 N-Step-SCAN: (also referred to as N-Step LOOK) is a disk scheduling
algorithm to determine the motion of the disk's arm and head in servicing read and
write requests. It segments the request queue into subqueues of length N. Breaking
the queue into segments of N requests makes service guarantees possible.
Subsequent requests entering the request queue won't get pushed into N sized
18

subqueues which are already full by the elevator algorithm. As such, starvation is
eliminated and guarantees of service within N requests is possible.

Analysis: N-Step-SCAN along with FSCAN prevents "arm stickiness" unlike
SSTF, SCAN, and C-SCAN.
A. Secrecy Capacity Region: In this section, we consider the collaborative
eavesdropping model, in which for a given message, all users (eavesdroppers)
other than the intended destination can exchange their outputs to try to decode a
given message. Since the eavesdroppers can exchange their outputs, they can be
viewed as a super-eavesdropper that has receive antennas with each antenna
receiving the outputs of one eavesdropper. Hence, the channel is equivalent to the
wiretap channel with the eavesdropper having multiple antennas, whose secrecy
capacity can be obtained from that for the multiple-input multiple-output (MIMO)
wiretap channel. It is then clear that for each channel state, only a user whose
channel gain is larger than the sum of the channel gains of all other users
(eavesdroppers) can receive its message with perfect Secrecy. Note that such a user
may not exist. It is clear that this user must have the best channel state among all
users. This suggests a time-division scheme with the source transmitting to at most
one user in each channel state .For a given channel state , let denote the source
power allocation for state . We use to denote the set that includes all power
allocation functions (i.e., power control policies) that satisfy the power constraints,

…………….(5)

Now let be the set of all channel states for which the channel gain of user is larger
than the sum of the channel gains of all other users, i.e.,

19

……………(6)

The following theorem states that a time-division scheme is optimal to achieve the
secrecy capacity region.

……(7)

Theorem 1: For the collaborative eavesdropping model, the secrecy capacity
region of the fading broadcast network is given by where the random vector h=
(h1,……….hk) has the same distribution as the marginal distribution of the
random process h= ∞ at one symbol time instant.
B. Stability and Utility Maximization

20

The secrecy capacity region given in Theorem 1 includes all achievable secrecy
rate vectors with each component representing the service rate for one user. It still
remains to determine a rate scheduling algorithm to choose a service rate vector at

each packet time slot to stabilize all queues and correspondingly to determine a
power control policy over the symbol time slots to achieve this service rate vector.
The rate scheduling algorithm and the power allocation policy are given in the
following two theorems, respectively.

Theorem 2: For the collaborative eavesdropping model, the information flows
(i.e., the queues) are stable only if the arrival rate vector is in the secrecy capacity
region given, i.e., . Furthermore, given any arrival rate vector that satisfies (where
denotes a –dimensional vector with all components equal to ), the system is
stochastically stable under the following queue-length-based algorithm: for any
given queue length vector q[t] , the secrecy rate vector r[t] is chosen to be a
solution to the following optimization

21

5. USES

Some examples of usage include cellular phones which are part of everyday
wireless networks, allowing easy personal communications. Another example,
Inter-continental network systems, use radio satellites to communicate across the
world. Emergency services such as the police utilize wireless networks to
communicate effectively as well. Individuals and businesses use wireless networks
to send and share data rapidly, whether it be in a small office building or across the
world.

General:
"Now, the industry accepts a handful of different wireless technologies.
Each wireless technology is defined by a standard that describes unique functions
at both the Physical and the Data Link layers of the OSI Model. These standards
differ in their specified signaling methods, geographic ranges, and frequency
usages, among other things. Such differences can make certain technologies better
suited to home networks and others better suited to network larger organizations."

Performance:
Each standard varies in geographical range, thus making one standard
more ideal than the next depending on what it is one is trying to accomplish with a
[8]
wireless network. The performance of wireless networks satisfies a variety of
applications such as voice and video. The use of this technology also gives room
for future expansions. As wireless networking has become commonplace ,
sophistication increased through configuration of network hardware and software.

Space:
22

Space is another characteristic of wireless networking. Wireless
networks offer many advantages when it comes to difficult-to-wire areas trying to
communicate such as across a street or river, a warehouse on the other side of the
[9]
premise or buildings that are physically separated but operate as one. Wireless
networks allow for users to designate a certain space which the network will be
able to communicate with other devices through that network. Space is also created
in homes as a result of eliminating clutters of wiring. This techonology allows for
an alternative to installing physical network mediums such as TPs, coaxes, or
fiber-optics, which can also be expensive.

Home:
For homeowners, wireless technology is an effective option as compared
to ethernet for sharing printers, scanners, and high speed internet connections.
WLANs help save from the cost of installation of cable mediums, save time from
physical installation, and also creates mobility for devices connected to the
[10]
network. Wireless networks are simple and require as few as one single
wireless access point connected directly to the Internet via a router.

Environmental concerns Starting around 2009, there have been increased
concerns about the safety of wireless communications, despite little evidence of
health risks so far. The president of Lakehead University refused to agree to
installation of a wireless network citing a California Public Utilities Commission
study which said that the possible risk of tumors and other diseases due to
exposure to electromagnetic fields (EMFs) needs to be further investigated.

23

Wireless access points are also often close to humans, but the drop off in power
over distance is fast, following the inverse- square law. The HPA's position is that
“...radio frequency (RF) exposures from WiFi are likely to be lower than those
from mobile phones.” It also saw “...no reason why schools and others should not
use WiFi equipment.” In October 2007, the HPA launched a new “systematic”
study into the effects of WiFi networks on behalf of the UK government, in order
to calm fears that had appeared in the media in a recent period up to that time".

24

6. APPLICATIONS OF WIRELESS TECHNOLOGY

Mobile telephones

One of the best-known examples of wireless technology is the mobile phone, also
known as a cellular phone, with more than 4.6 billion mobile cellular subscriptions
worldwide as of the end of 2010. These wireless phones use radio waves to enable
their users to make phone calls from many locations worldwide. They can be used
within range of the mobile telephone site used to house the equipment required to
transmit and receive the radio signals from these instruments.

Wireless data communications

Wireless data communications are an essential component of mobile computing.
The various available technologies differ in local availability, coverage range and
performance, and in some circumstances, users must be able to employ multiple
connection types and switch between them. To simplify the experience for the
user, connection manager software can be used, or a mobile VPN deployed to
handle the multiple connections as a secure, single virtual network.

Supporting technologies include:

Wi-Fi is a wireless local area network that enables portable computing
devices to connect easily to the Internet. Standardized as IEEE 802.11

25

a,b,g,n, Wi-Fi approaches speeds of some types of wired Ethernet. Wi-Fi
has become the de facto standard for access in private homes, within offices,
[14]
and at public hotspots. Some businesses charge customers a monthly fee
for service, while others have begun offering it for free in an effort to
increase the sales of their goods.

Cellular data service offers coverage within a range of 10-15 miles from the
nearest cell site. Speeds have increased as technologies have evolved, from
earlier technologies such as GSM, CDMA and GPRS, to 3G networks
such as W-CDMA, EDGE or CDMA2000.

Mobile Satellite Communications may be used where other wireless
[18]
connections are unavailable, such as in largely rural areas or remote
locations. Satellite communications are especially important for
transportation, aviation, maritime and military use.

Wireless energy transfer

Wireless energy transfer is a process whereby electrical energy is transmitted from
a power source to an electrical load that does not have a built-in power source,
without the use of interconnecting wires.

Computer interface devices

Answering the call of customers frustrated with cord clutter, many manufactures of
computer peripherals turned to wireless technology to satisfy their consumer base.
Originally these units used bulky, highly limited transceivers to mediate between a
26

computer and a keyboard and mouse, however more recent generations have used
small, high quality devices, some even incorporating Bluetooth. These systems
have become so ubiquitous that some users have begun complaining about a lack
of wired peripherals. Wireless devices tend to have a slightly slower response time
than their wired counterparts, however the gap is decreasing. Concerns about the
security of wireless keyboards arose at the end of 2007, when it was revealed that
Microsoft's implementation of encryption in some of its 27 MHz models was
highly insecure.

27

7. CONCLUSION

The approach in this paper can be applied to analyze other wireless networks
including Multiple-access, interference, and relay networks. This approach also
allows the incorporation of public and common message flows for users in the
system as well. we developed, and implemented a compromised router detection
protocol (DP) that dynamically infers, based on measured traffic rates and buffer
sizes, the number of congestive packet losses (CPL) that will occur. Each and every
packet is encrypted so that to prevent the data from eavesdropping. So the data
is much secured. Once the ambiguity from congestion is removed, subsequent
packet losses can be attributed to malicious actions, still existing system is a good
experiment but it will take more time while it’s in the process. So to overcome
this along with the queue method by proposing shortest seek first algorithm

28

8.REFRENCES

[1] M. Neely, E. Modiano, and C. Li, “Fairness and optimal stochastic control for
heterogeneous networks,” in Proc. IEEE INFOCOM, Miami, FL, Mar. 2005, vol.
3, pp. 1723–1734

[2] A. Stolyar, “Maximizing queueing network utility subject to stability: Greedy
primal-dual algorithm,” Queueing Syst., vol. 50, no. 4, pp. 401–457, Aug. 2005.

[3] A. Eryilmaz and R. Srikant, “Joint congestion control, routing and MAC for
stability and fairness in wireless networks,” IEEE J. Sel. Areas Commun., vol. 24,
no. 8, pp. 1514–1524, Aug. 2006.

[4] M. Bloch, J. Barros, M. R. D. Rodrigues, and S. W. McLaughlin, “Wireless
information-theoretic security,” IEEE Trans. Inf. Theory, vol. 54, no. 6, pp. 2515–
2534, Jun. 2008.

[5] E. Ekrem and S. Ulukus, “Degraded compound multi-receiver wiretap
channels,” IEEE Trans. Inf. Theory, 2009, submitted for publication.

[6] E. Ekrem and S. Ulukus, “The secrecy capacity region of the Gaussian MIMO
multi-receiver wiretap channel,” IEEE Trans. Inf. Theory, vol. 57, no. 4, pp. 2083–
2114, Apr. 2011.

[7] E. Ekrem and S. Ulukus, “Secrecy capacity of a class of broadcast channels
with an eavesdropper,” Special Issue on Wireless Physical Layer Security,
EURASIP J. Wireless ommun. Netw., vol. 2009, pp. 29–29, 2009, Article ID
824235.
[8] E. Ekremand S. Ulukus, “Ergodic secrecy capacity region of the fading
broadcast channel,” in Proc. IEEE Int. Conf. Commun. (ICC), Dresden, Germany,
2009
29

[9] E. Ekrem and S. Ulukus, “Capacity region of Gaussian MIMO broadcast
channels with common and confidential messages,” IEEE Trans. Inf. Theory,
2010, submitted for publication.

[10] P. Gopala, L. Lai, and H. E. Gamal, “On the secrecy capacity of fading
channels,” IEEE Trans. Inf. Theory, vol. 54, no. 10, pp. 4687–4698, Oct. 2008.

[11] A. Khisti, A. Tchamkerten, and G. Wornell, “Secure broadcasting,” Special
Issue on Information Theoretic Security, IEEE Trans. Inf. Theory, vol. 54, no. 6,
pp. 2453–2469, Jun. 2008.

[12] Z. Li,W. Trappe, and R.D. Yates, “Secret communication viamulti-antenna
transmission,” in Proc. Conf. Information Sciences and Systems (CISS),
Baltimore, MD, Mar. 2007.

[13] A. D. Wyner, “The wire-tap channel,” Bell Syst. Tech. J., vol. 54, no. 8, pp.
1355–1387, Oct. 1975.

[14] I. Csiszár and J. Körner, “Broadcast channels with confidential messages,”
IEEE Trans. Inf. Theory, vol. IT-24, no. 3, pp. 339–348, May 1978.

[15] Y. Liang, H. V. Poor, and S. Shamai (Shitz), “Information theoretic security,”
in oundations and Trends in Communications and Information Theory. Hanover,
MA:Now Publishers, 2008, vol. 5, nos. 4–5, pp. 355–580.

30

Secure communications over wireless broadcast networks

More Related Content

What's hot (18)

Similar to Secure communications over wireless broadcast networks (20)

Secure communications over wireless broadcast networks