Performance Evaluation of Space–Time Block Codes Over Keyhole Weibull Fading Channels

It is well known that degenerate channel phenomena known as keyholes may significantly reduce the capacity of multiple-input and multiple-output (mimo) channels. Keyhole mimo channels were predicted theoretically and also observed experimentally. In this paper, a novel method of analyzing the performance of keyhole mimo channels is proposed. The proposed method is based on the assumption that the received signal at the keyhole encompasses an arbitrary number of multipath components and the propagation environment is such that the resulting signal is observed as a non-linear function of the modulus of the sum of these components. Based on this assumption, we initially introduce the double Weibull fading model, constructed by the product of two independent Weibull distributed fading envelopes. Closed-form expressions for its moments-generating function, probability density function, cumulative distribution function, and moments are also derived. Based on these formulas, we analytically evaluate the performance of a 2 × 2 mimo space–time block-coding (stbc) system, where performance metrics such as the average symbol error probability for several modulation schemes, outage probability, amount of fading and ergodic capacity are given in closed form. Various performance evaluation results are presented in order to verify the proposed analysis.

[1]  Michael P. Fitz,et al.  Signal design for transmitter diversity wireless communication systems over Rayleigh fading channels , 1999, IEEE Trans. Commun..

[2]  Andreas F. Molisch,et al.  A generic model for MIMO wireless propagation channels , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[3]  Nikos C. Sagias,et al.  On the cascaded Weibull fading channel model , 2007, J. Frankl. Inst..

[4]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[5]  A. Robert Calderbank,et al.  Space-Time block codes from orthogonal designs , 1999, IEEE Trans. Inf. Theory.

[6]  S. Aissa,et al.  Capacity of space-time block codes in MIMO Rayleigh fading channels with adaptive transmission and estimation errors , 2005, IEEE Transactions on Wireless Communications.

[7]  R C Robertson,et al.  Digital Communications Over Fading Channels , 2004 .

[8]  Gerard J. Foschini,et al.  Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas , 1996, Bell Labs Technical Journal.

[9]  Arogyaswami Paulraj,et al.  Space-time block codes: a capacity perspective , 2000, IEEE Communications Letters.

[10]  Gerhard Bauch,et al.  Smart versus dumb antennas-capacities and FEC performance , 2002, IEEE Communications Letters.

[11]  H. Hashemi,et al.  The indoor radio propagation channel , 1993, Proc. IEEE.

[12]  Hyundong Shin,et al.  Performance analysis of space-time block codes over keyhole Nakagami-m fading channels , 2004, IEEE Transactions on Vehicular Technology.

[13]  Fulvio Babich,et al.  Statistical analysis and characterization of the indoor propagation channel , 2000, IEEE Trans. Commun..

[14]  M.D. Yacoub,et al.  The $\alpha$-$\mu$ Distribution: A Physical Fading Model for the Stacy Distribution , 2007, IEEE Transactions on Vehicular Technology.

[15]  Petre Stoica,et al.  Space-Time block codes: A maximum SNR approach , 2001, IEEE Trans. Inf. Theory.

[16]  X. W. Cui,et al.  Lower capacity bound for MIMO correlated fading channels with keyhole , 2004, IEEE Communications Letters.

[17]  Siavash M. Alamouti,et al.  A simple transmit diversity technique for wireless communications , 1998, IEEE J. Sel. Areas Commun..

[18]  George K. Karagiannidis,et al.  Gaussian class multivariate Weibull distributions: theory and applications in fading channels , 2005, IEEE Transactions on Information Theory.

[19]  Mohamed-Slim Alouini,et al.  Digital Communication over Fading Channels: Simon/Digital Communications 2e , 2004 .

[20]  Changchuan Yin,et al.  A squaring method to simplify the decoding of orthogonal space-time block codes , 2001, IEEE Trans. Commun..

[21]  Reinaldo A. Valenzuela,et al.  Keyholes, correlations, and capacities of multielement transmit and receive antennas , 2002, IEEE Trans. Wirel. Commun..

[22]  A. Robert Calderbank,et al.  Space-Time Codes for High Data Rate Wireless Communications : Performance criterion and Code Construction , 1998, IEEE Trans. Inf. Theory.

[23]  Mohamed Oussama Damen,et al.  A construction of a space-time code based on number theory , 2002, IEEE Trans. Inf. Theory.

[24]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[25]  Khaled Ben Letaief,et al.  Space-Time Block Codes in Keyhole Fading Channels: Error Rate Analysis and Performance Results , 2006, 2006 IEEE 63rd Vehicular Technology Conference.

[26]  R. Valenzuela,et al.  Capacities of multi-element transmit and receive antennas: Correlations and keyholes , 2000 .

[27]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[28]  George K. Karagiannidis,et al.  Channel capacity and second-order statistics in Weibull fading , 2004, IEEE Communications Letters.

[29]  Victor Adamchik,et al.  The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system , 1990, ISSAC '90.

[30]  Helmut Bölcskei,et al.  Outdoor MIMO wireless channels: models and performance prediction , 2002, IEEE Trans. Commun..