Zahoor Ahmed J.P.Cances V.Meghdadi Cryptographic Spread Spectrum Relay Communication NGMAST 2008
Feb 25, 2016
Zahoor AhmedJ.P.CancesV.Meghdadi
Cryptographic Spread Spectrum Relay Communication
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Break up
Spread Spectrum Cryptography Relay Network (Orthogonal) Conclusions
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Introduction
Spread Spectrum Cryptography
to hide the Signal below noise level Message Encryption
Doubly secured information
Transmission through Relay Channel
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Spread Spectrum
Spread spectrum is an RF communications system in which the baseband signal bandwidth is intentionally spread over a larger bandwidth by injecting a higher frequency signalReason ?secure communicationsMakes jamming and interception harderprevent detection.
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+1
+1
+1
-1
-1
-1
t
t
t
Data Signal
PN Signal
Data x PN
Tb=8Tc Tb=8Tc Tb=8Tc
Tb
Tc
1 -1 - 1
1,-1,- 1,1,-1,1,1,-1
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Example
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The data transmitted with bit duration Tb d(t)= dn { 1,-1}
PN Sequence N=Tb/Tc
transmitted with chip duration Tc
The Data in channel
Spread Spectrum
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Cryptography
Message
Secret key
Cryptogram
To recover the original message, the receiver computes
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SS and Cryptography
To encrypt the message data or PN sequenceSuppose we want to transmit the Message with SF N=Tb/Tc PN Sequence to synchronize bit and chip time, add S in M
where is N time repetition of M
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Synchronization Problem
Cryptogram
Since the energy of SS is lower than ambient noise, so it is not possible to recover the message without the knowledge of S
Problem ?Good cryptographic PN Sequences confronts theproblem of synchronization.
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Suggestion
To counter the problem of synchronization, we use a technique very like that of steganography We can spread N over a more larger bandwidth to mask the message inside ambient noise. We mask the secret SS signal with a classical dummy communication. This method is more robust than classical stegano.
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SS using BPSK Channel
Let Be the non-secret message
Then the transmitted signal will be let Be the hidden message
Then the secret communication is
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SS using BPSK Channel
Then the transmitted signal is
The receiver uses non-secret communication to
synchronization, recover the signalThe secret message is smaller than the noise, so
is not detectable if the PN sequence is not known to compute correlation
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SS and Orthogonal transmission
If an error occurs on symbol M, this error induces very high noise on secret message mTo avoid this problem we use a relay channel in which two signals are sent orthogonally, so now it is unlikely that that the non secret message can cause an error in the secret message. So now the transmitted signal will be
Where
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Relay Network
DestinationSource
Relay
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Relay Network(Orthogonal)
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Relay network Capacity
Achievability is proved by cut-set bound
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Conclusion
SS Communications are difficult to detect. Encrypted PN sequences makes the communication
more secure. The selection of good key make the communication
absolutely secure Synchronization problem is addressed by Splitting the
signal into phase and quadrature.
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