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Asymmetric Modulationfor Cognitive Radio andIntelligent Environments
2004 Software Defined RadioTechnical Conference and Product Exposition
Eric KrebScientific Applications International [email protected]
Robert Morelos-ZaragozaSan Jose State [email protected]
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Outline
• Introduction• Asymmetric Modulation
– Design– Mathematical Analysis– Graphical Analysis
• Asymmetric Coherence• Opportunities for Intelligent Environments• Conclusion
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Complex Baseband System Model
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Orthogonal Basis Functions
∫Tdt
0
∫Tdt
0
∫Tdt
0
1φ
2φ
Nφ
1is
2is
iNs
is
1φ
2φ
Nφ
1is
2is
iNs
is
)(tsI
)(tsQ
)(ts)(ts
)(tsI
)(tsQ
)2(1 tfCOS cπφ =
2φ
)2(1 tfCOS cπφ =
2φ
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Common Modulation Schemes
Constant Envelope Modulated Envelope
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Asymmetric Modulation Design
AsPSKAsymmetric Phase-Shift Keying
AsQAMAsymmetric Quadrature Amplitude Modulation
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Asymmetric Phase-Shift Keying
Mapping Functions
11 2)1( παα +−= xy )1( 22)2( ααπ −= xy
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AsPSK: Constellations
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AsPSK: Expected BER in AWGN
( ) ( )
−−⋅
⋅⋅⋅≈M
MNEMQP B
bαπ 1sinlg2
01
( )( )
−
⋅⋅⋅≈−α
π1
02
1sinlg2MM
NEMQP B
b
AsPSK- 1 & AsPSK- 2
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AsPSK: Dynamic Control
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AsQAM: Lattice Structure
QAM vs AsQAM
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AsQAM: Lattice Structures
Direct Comparisonof
Square Lattice & Simplex Lattice
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AsQAM: Constellations
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AsQAM: BER in AWGN
≈
0_ 5
243
NEQP B
QAMb
≈
0_ 3
22NEQP B
AsQAMb
QAM & AsQAM
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AsQAM vs. Standard QAM
Nearest-Neighbor Distances
0.632516-QAM
0.66594
0.66903
0.66882
0.67611
16-AsQAM- 1
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Clock Synchronization
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Coherent & NoncoherentReceivers
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Detector Simulations
AsPSK- 1 AsPSK- 2
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Opportunities forIntelligent Environments
• Dynamic Design
• Synchronization and Data Transfer Modes
• Low Priority Data Transfer at Low Cost
• Continuous and Discrete Constellation Monitoring
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Conclusion
• Discrete and Continuous Dynamic Designs
• Optimal Lattice Structure
• Asymmetric Coherence
• Environmental Intelligence Capability
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References
[1] S. Haykin, Communication Systems, 4th ed., New York: Wiley, 2001
[2] M. Isaka, M. Fossorier, R. Morelos-Zaragoza, S. Lin, H. Imai, “Multilevel Coded Modulation for Unequal Error Protection and Multistage Decoding – Part II: Asymmetric Constellations,” IEEE Transactions on Communications, no. 5, pp. 774-786, May 2000
[3] L. Venkata Subramaniam, S. Rajan, R. Bahl, “Performance of 4- and 8-State TCM Schemes with Asymmetric 8-PSK in Fading Channels,” IEEE Transactions on Vehicular Technology, vol. 49, No. 1, pg 211-219, January 2000
[4] F. Sanzi, M. C. Necker, “Totally Blind APP Channel Estimation with Higher Order Modulation Schemes,” Proceedings of the Vehicular Technology Conference, Orlando, October 2003
[5] G. Colavope, R. Raheli, “On Noncoherent Sequence Detection of Coded QAM,”IEEE Communications Letters, Vol. 2, No. 8, August 1998
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