A comparative study on the performance of MIMO‐STBC subject to Weibull fading channels

Abstract

In this paper, we investigate the analytical performance of the multiple-input multiple-output system (MIMO) with orthogonal space-time block codes (STBCs) subject to Weibull fading channels (WFC). Space-time block code technique provides an efficient pattern for wireless transmission over various fading channels using multiple transmit antennas. Two approximating methods of the sum of independent Weibull random variables are studied. For each approach, we derive accurate approximate expressions for several performance metrics of MIMO-STBC system operating under independent and nonidentical WFC. The proposed approximations are expressed in terms of 2 generalized hypergeometric functions, namely, Fox's H and Meijer's G functions. All the derived approximate expressions prove high accuracy, while compared with the simulation results established via Monte Carlo method and Kolmogorov-Smirnov test as well.Although the 2 approaches have approximately the same accuracy, the second method approximate expressions are much less complex than those of the first method. KEYWORDS channel capacity, Fox's H function, Meijer's G function, MIMO-STBC, probability density function (PDF), symbol error rate, outage probability, Weibull fading channels (WFC) | INTRODUCTIONTo overcome the problem of transmit diversity technique for the multiple-input multiple-output (MIMO) systems, several interesting coding and modulation techniques have been attacked in various ways recently. One famous modulation scheme is the orthogonal space-time block codes (STBCs). 1 A generalization of STBC has been investigated later in Tarokh et al. 2 Based on several studies, it is proven that the STBC can ensure the same diversity order as maximal-ratio combining (MRC). On the other hand, the monopath channel capacity is known to be less than the one of MIMO system. 3 The main advantage of STBCs is that the maximum probability decoding can be reached using a linear processing at the receiver. 4 Shin and Lee 5 analyzed, using the moment-generating function-based approach, the exact average symbol error rate (ASER) of MIMO-STBC system with some modulation schemes under Nakagami-m fading channels. In Pérez et al, 6 accurate approximate outage capacities of MIMO-STBC over several kinds of fading distribution such as Rayleigh, Rice, Nakagami-m, and Weibull were derived. The channel capacities under adaptive transmission policy of MIMO-STBC operating under Rayleigh fading channels were derived in closed form in Maaref and Aissa. 7 In addition to the small-scale fading, the shadowing, ie, large-scale fading, can affect the signal during its propagation, which will extremely reduce the advantages of MIMO system. In Yang, 8 the shadowing was modeled via the lognormal

A precise mathematical approach for analyzing the performance of MIMO space–time block code systems over Weibull fading channels

“…In this direction, a PDF of MIMO systems was estimated in [15] using a finite mixture with an expectation-maximization approach over independent and identically distributed WFC. By the use of two new approximate expressions for the PDFs of Weibull's sum RVs [16,17], the authors investigated the MIMO-STBC performance over independent and not necessarily identically distributed (i.n.i.d) Weibull fading channels (WFCs).…”

Accurate Expression of the Effective Capacity for Various MIMO Receivers Over Weibull Fading Channels

“…The performance criteria of each MIMO system receivers are evaluated using the measurement of the receiver output SNR. Since the Weibull distribution represents a good model to describe the SNR behavior indoor-outdoor environment, in [1]- [3], we have studied its performance criteria for various MIMO receivers such as maximal ratio combiner (MRC), equal gain combiner (EGC), MIMO with space-time block coding (MIMO-STBC). In addition to the well-known performance such as average capacities under various policies (ORA, OPRA, CIFR, and TCIFR), probability of the outage, average symbol/bit error rate (ASER/ABER), Wu and Negi [4] introduced the effective capacity (EC) as a link-layer channel model to support quality of service (QoS) prerequisite.…”

Error analysis of TAS‐OSTBC assisted downlink NOMA system over generalized η−μ fading Channel

“…With regard to OSTBC, Tarokh et al 20 have described that remarkable performance improvement is achieved by using OSTBC in MIMO systems. El Bouanani and Bessate 21 have investigated the performance of OSTBC‐MIMO systems in terms of average channel capacity and symbol error. In addition to this, unitary precoding is exploited for OSTBC systems for better performance 22 .…”