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Spread Spectrum
Analog or digital data
Analog signal
Spread data over wide bandwidth
Makes jamming and interception harder
Frequency hoping
Signal broadcast over seemingly random series of frequencies
Direct Sequence
Each bit is represented by multiple bits in transmitted signal
Chipping code
Spread Spectrum Concept
Input fed into channel encoder
Produces narrow bandwidth analog signal around central frequency
Signal modulated using sequence of digits
Spreading code/sequence
Typically generated by pseudonoise/pseudorandom number generator
Increases bandwidth significantly
Spreads spectrum
Receiver uses same sequence to demodulate signal
Demodulated signal fed into channel decoder
General Model of Spread Spectrum System
Gains
Immunity from various noise and multipath distortion
Including jamming
Can hide/encrypt signals
Only receiver who knows spreading code can retrieve signal
Several users can share same higher bandwidth with little interference
Cellular telephones
Code division multiplexing (CDM)
Code division multiple access (CDMA)
Pseudorandom Numbers
Generated by algorithm using initial seed
Deterministic algorithm
Not actually random
If algorithm good, results pass reasonable tests of randomness
Need to know algorithm and seed to predict sequence
Frequency Hopping Spread Spectrum (FHSS)
Signal broadcast over seemingly random series of frequencies
Receiver hops between frequencies in sync with transmitter
Eavesdroppers hear unintelligible blips
Jamming on one frequency affects only a few bits
Basic Operation
Typically 2k carriers frequencies forming 2k channels
Channel spacing corresponds with bandwidth of input
Each channel used for fixed interval
300 ms in IEEE 802.11
Some number of bits transmitted using some encoding scheme
May be fractions of bit (see later)
Sequence dictated by spreading code
Frequency Hopping Example
Frequency Hopping Spread Spectrum System (Transmitter)
Frequency Hopping Spread Spectrum System (Receiver)
Slow and Fast FHSS
Frequency shifted every Tc seconds
Duration of signal element is Ts seconds
Slow FHSS has Tc ≥ Ts
Fast FHSS has Tc < Ts
Generally fast FHSS gives improved performance in noise (or jamming)
Slow Frequency Hop Spread Spectrum Using MFSK (M=4, k=2)
Fast Frequency Hop Spread Spectrum Using MFSK (M=4, k=2)
FHSS Performance Considerations
Typically large number of frequencies used
Improved resistance to jamming
Direct Sequence Spread Spectrum (DSSS)
Each bit represented by multiple bits using spreading code
Spreading code spreads signal across wider frequency band
In proportion to number of bits used
10 bit spreading code spreads signal across 10 times bandwidth of 1 bit code
One method:
Combine input with spreading code using XOR
Input bit 1 inverts spreading code bit
Input zero bit doesn’t alter spreading code bit
Data rate equal to original spreading code
Performance similar to FHSS
Direct Sequence Spread Spectrum Example
Direct Sequence Spread Spectrum Transmitter
Direct Sequence Spread Spectrum Transmitter
Direct Sequence Spread Spectrum Using BPSK Example
Approximate�Spectrum of �DSSS Signal
Code Division Multiple Access (CDMA)
Multiplexing Technique used with spread spectrum
Start with data signal rate D
Called bit data rate
Break each bit into k chips according to fixed pattern specific to each user
User’s code
New channel has chip data rate kD chips per second
E.g. k=6, three users (A,B,C) communicating with base receiver R
Code for A = <1,-1,-1,1,-1,1>
Code for B = <1,1,-1,-1,1,1>
Code for C = <1,1,-1,1,1,-1>
CDMA Example
CDMA Explanation
Consider A communicating with base
Base knows A’s code
Assume communication already synchronized
A wants to send a 1
Send chip pattern <1,-1,-1,1,-1,1>
A’s code
A wants to send 0
Send chip[ pattern <-1,1,1,-1,1,-1>
Complement of A’s code
Decoder ignores other sources when using A’s code to decode
Orthogonal codes
CDMA for DSSS
n users each using different orthogonal PN sequence
Modulate each users data stream
Using BPSK
Multiply by spreading code of user
CDMA in a DSSS Environment
Seven Channel CDMA Encoding and Decoding
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