An AWGN Multiaccess Channel*

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Presentation transcript:

An AWGN Multiaccess Channel* Ballard Blair 6.441 - Transmission of Information Massachusetts Institute of Technology May 10, 2007 *Paper: Gallager, R, A Perspective on Multiaccess Channels, IEEE transactions on Information Theory, March 1985

AWGN Multiaccess channel - Ballard Blair Motivation Channel R T1 T2 T3 TN Multiaccess Network Generalization of point to point Transmitter not always ready Applicable to many situations Cell phones Ethernet Encoding Easy (Random), Decoding Hard Conclusion: Need better models and approaches 5/10/2007 AWGN Multiaccess channel - Ballard Blair

AWGN Multiaccess channel - Ballard Blair AWGN Channel Setup x R T1 T2 Gaussian Multiaccess Setup Coding z w y=w+x+z Types of Errors Only X decoded incorrectly (type 1) Only Y decoded incorrectly (type 2) X and Y decoded incorrectly (type 3) Capacity of AWGN Channel: Energy Constraint for each transmitter (S1 and S2) 5/10/2007 AWGN Multiaccess channel - Ballard Blair

AWGN Multiaccess channel - Ballard Blair Achievable Rates R1 R2 I(X;Y) I(W;Y) I(X;Y|W) I(W;Y|X) Constraints 2-Parallel AWGN Channels 5/10/2007 AWGN Multiaccess channel - Ballard Blair

Higher Dimensionality 3 Transmitters (7 constraints) Constraints quickly get out of hand (2n-1 constraints for n-dim) 5/10/2007 AWGN Multiaccess channel - Ballard Blair

AWGN Multiaccess channel - Ballard Blair Conclusions AWGN Multiaccess Interesting, not practical Better Models needed (other than power lim) Modern Approaches CDMA OFDM 5/10/2007 AWGN Multiaccess channel - Ballard Blair

AWGN Multiaccess channel - Ballard Blair Questions? http://www.ukuleleman.net/2005_08_01_ukemanspeaks_archive.html 5/10/2007 AWGN Multiaccess channel - Ballard Blair