An Estimation of Achievable Rate for Digital Transmissions over MIMO Channels

Abstract

Achievable rate (AR) is significant to communications. As to multi-input multi-output (MIMO) digital transmissions with finite alphabets inputs, which greatly improve the performance of communications, it seems rather difficult to calculate accurate AR. Here we propose an estimation of con-siderable accuracy and low complexity, based on Euclidean measure matrix for given channel states and constellations. The main contribution is explicit expression, non-constraints to MIMO schemes and channel states and constellations, and controllable estimating gap. Numerical results show that the proposition is able to achieve enough accurate AR computation. In addition the estimating gap given by theoretical deduction is well agreed.

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Zhang, J. , Chen, S. and He, Q. (2015) An Estimation of Achievable Rate for Digital Transmissions over MIMO Channels. Communications and Network, 7, 117-124. doi: 10.4236/cn.2015.72011.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Shannon, C.E. (1948) A Mathematical Theory of Communication. The Bell System Technical Journal, 27, 379-423. http://dx.doi.org/10.1002/j.1538-7305.1948.tb01338.x
[2] Zeng, W.L., Xiao, C.S., Wang, M.X. and Lu, J.H. (2012) Linear Precoding for Finite-Alphabet Inputs Over MIMO Fading Channels with Statistical CSI. IEEE Transactions on Signal Processing, 60, 3134-3148. http://dx.doi.org/10.1109/TSP.2012.2188717
[3] Mesleh, R.Y., Haas, H., Sinanovic, S., Ahn, C.W. and Yun, S. (2008) Spatial Modulation. IEEE Transactions on Vehicular Technology, 57, 2228-2241. http://dx.doi.org/10.1109/TVT.2007.912136
[4] Greenspan, D. and Casulli, V. (1994) Numerical Analysis for Applied Mathematics, Science, and Engineering. Westview Press, Boulder.
[5] Dauwels, J. and Loeliger, H.A. (2008) Computation of Information Rates by Particle Methods. IEEE Transactions on Information Theory, 54, 406-409. http://dx.doi.org/10.1109/TIT.2007.911181
[6] Alvarado, A., Brannstrom, F. and Agrell, E. (2014) A Simple Approximation for the Bit-Interleaved Coded Modulation Capacity. IEEE Communications Letters, 18, 495-498.
[7] Zhang, J.B., Zheng, H.M., Tan, Z.H., Chen, Y.Y. and Xiong, L. (2010) Link Evaluation for MIMO-OFDM System with ML Detection. 2010 IEEE International Conference on Communications, Cape Town, 23-27 May 2010, 1-6. http://dx.doi.org/10.1109/ICC.2010.5502079
[8] Hassibi, B. and Marzetta, T.L. (2002) Multiple-Antennas and Isotropically Random Unitary Inputs: The Received Signal Density in Closed Form. IEEE Transactions on Information Theory, 48, 1473-1484.
http://dx.doi.org/10.1109/TIT.2002.1003835

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