Abstract
An expression for the Shannon capacity lower bound of the space division multiple access (SDMA) mobile communication channel with interference is shown. The bound is tightly approaching the Shannon capacity of the orthogonal SDMA system over Gaussian channel with no interference. The information capacity of the SDMA system with adaptive MMSE receivers is presented as well. The SDMA system with MMSE receivers achieves at least 50% of the orthogonal SDMA system capacity for the input signal to noise ratio of practical interest in cellular mobile communications (10–30dB).
Similar content being viewed by others
References
R. Kohno, H. Imai, M. Hatori and S. Pasupathy, "Combination of an Adaptive Array Antenna and a Canceller of Interference for Direct-Sequence Spread-Spectrum Multiple Access System", IEEE J. Select. Areas Commun., Vol. 8, No. 4, pp. 675–682, 1990.
R. Kohno and Naoto Ishii, "Performance of Joint Spatial and Temporal Multiuser Detection Using Adaptive Array Antenna in both Transmitter and Receiver for DS/CDMA", in Proc. IEEE ISIT '97, Ulm, Germany, 30 June–4 July 1997, pp. 151.
Lal C. Godara, "Application of Antenna Arrays to Mobile Communications, Part I: Performance Improvement, Feasibility, and System Considerations", Proc. of the IEEE, Vol. 85, No. 7, pp. 1031–1060, 1997.
Lal C. Godara, "Application of Antenna Arrays to Mobile Communications, Part II: Beam-Forming and Direction-of-Arrival Considerations", Proc. of the IEEE, Vol. 85, No. 8, pp. 1195–1245, 1997.
J.H. Winters, J. Salz and R.D. Gitlin, "The Impact of Antenna Diversity on the Capacity of Wireless Communication Systems", IEEE Trans. Commun., Vol. COM-42, pp. 1740–1751, 1994.
S. Verdu, "Minimum Probability of Error for Asynchronous Gaussian Multiple-Access Channels", IEEE Trans. Inform. Theory, Vol. IT-32, pp. 85–96, 1986.
S.Y. Miller, "Integrated Spatial-Temporal Detectors for Asynchronous Gaussian Multiple-Access Channels", IEEE Trans. Commun., Vol. COM-43, pp. 396–411, 1995.
A.D. Wyner, "Shannon-Theoretic Approach to a Gaussian Cellular Multiple-Access Channel", IEEE Trans. Inform. Theory, Vol. IT-40, pp. 1713–1727, 1994.
F.D. Neeser and J.L. Massey, "Proper Complex Random Processes with Applications to Information Theory", IEEE Trans. Inform. Theory, Vol. IT-39, No. 4, pp. 1293–1302, 1993.
D. Jonsson, "Some Limit Theorems for the Eigenvalues of a Sample Covariance Matrix", Journal of Multivariate Analysis, Vol. 12, pp. 1–38, 1982.
C.E. Shannon, "A Mathematical Theory of Communication", Bell Sys. Tech. Journal, Vol. 27, pp. 379–423, 623–656, 1948.
P. Rapajic and B. Vucetic, "Adaptive Receiver Structures for Asynchronous CDMASystems", IEEE J. Select. Areas Commun., Vol. 12, No. 4, pp. 685–697, 1994.
J.G. Proakis, Digital Communications, J. Wiley and Sons, 1989.
S. Haykin, Adaptive Filter Theory, Prentice Hall, 1991.
A.J. Grant and P.D. Alexander, "Randomly Selected Spreading Sequences for Coded CDMA", in Proc. IEEE Fourth International Symposium on Spread Spectrum Techniques and Applications (ISSSTA '96), Mainz, Germany, Sept. 22–25, 1996, pp. 54–57.
S. Verdu and S. Shamai, "Multiuser Detection with Random Spreading and Error-Correction Codes: Fundamental Limits", in Proc. of Thirty-Fifth Annual Allerton Conference on Communications, Control and Computing, Allerton House, Monticello, IL, Sept. 29–Oct. 1, 1997.
P.B. Rapajic, "Performance Analysis of Slotted ALOHA/CDMA System with Adaptive MMSE Receivers", IEICE Transactions, Special Section on Spread Spectrum Techniques and Applications, Vol. 80, No. 12, 1997, pp. 2485–2492.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rapajic, P.B. Information Capacity of the Space Division Multiple Access Mobile Communication System. Wireless Personal Communications 11, 131–159 (1999). https://doi.org/10.1023/A:1018679827153
Issue Date:
DOI: https://doi.org/10.1023/A:1018679827153