The paper assumes that the channel state information (CSI) is available at the receiver and is known partially at the transmitter through a feedback channel. The bit error rate (BER) performance of multiple transmit antenna selection (MTAS) for the multiple-input and single-output (MISO) system with STBC (MTAS/MISO-STBC) will be investigated in detail. Meanwhile, the selection criterion that maximizes the channel Frobenius norm or minimizes the error probability of MTAS/MISO-STBC system is employed. In two cases of erroneous CSI (ECSI) and inerrable CSI (ICSI), wireless channels of the MTAS systems are modeled and their analytical expressions are derived. For the case of ICSI, the exact BER expressions of the Chernoff upper bound (CUB) for both the MISO-STBC system of full complexity and MTAS system are evaluated, respectively. Next, for the ECSI case, a comprehensive analytical expression of BER CUB for the same system is derived in detail. Finally, extensive Monte-Carlo simulations are presented to support and validate our numerical analysis proposed in this paper. Both the simulating results and the numerical results show that MTAS can reduce effectively the effect of the erroneous CSI.

Providing reliable wireless communication has obtained the great attention of communication community in recent years. This stems from the fact that in a wireless environment, unlike other applications, achieving reliable communication is much more challenging due to the possibility that received signals from multi-path may add destructively, which, consequently, results in a serious performance degradation. Multiple-transmit multiple-receive antenna (also referred to as multiple-input multiple-output, MIMO) systems are increasingly important because the multiple antenna technology can significantly improve wireless link performance. Degrees of freedom afforded by the multiple antennas may be used to increase reliability through space-time diversity techniques [

Early works in MAS have focused on the multiple-input single-output (MISO) channel or the single-input multiple-output (SIMO) channel. They mainly investigated MAS from the point of view of the diversity and then chose the best limited number of available antennas at the receiver and/or transmitter. The receiver and/or transmitter performs maximal ratio combining (MRC) and/or the hybrid selection and MRC approach [

In recent years, there are a few papers aiming at the MAS systems with space-time coding [

Quasi-orthogonal space-time block codes (QSTBC) [

In terms of BER performance for MTAS/MISO-STBC systems, difficulties of the theoretical investigation for the MAS systems are to model order statistics characteristic of selected wireless channels. The same as [

This paper concentrates on antenna subset selection at the transmitter for independent and identically distributed (i.i.d.) quasi-static flat Rayleigh fading channels. For a MISO system equipped with

The paper is organized as follows. In Section

A block diagram of system under consideration is shown in Figure

A block diagram of the MTAS/MISO-STBC system.

At the receiver, after demodulation, matched filtering, and sampling, the signal

In this case, the channel state information (CSI) is perfectly known at both the receiver and the transmitter. We will examine the arbitrary number

Applying order statistics [

Since existing CSI feedback error, the transmitter selects possibly arbitrary

In the process period of a frame, we assume that the correct descending order of the

Since the exchange between ordinal number

Assume binary phase-shift keying (BPSK) modulation, maximum-likelihood (ML) decoder, and the channel state information (CSI) are available at the receive side. For

In the case of ICSI, assuming that system all antennas transmit equal power, we will analyze the BER CUB for the (

For the specific case of

According to the discussion above in Section II.B, if the CSI at transmitter side has imperfect knowledge, we will combine the three marginal pdfs of (

We integrate with respect to

Let the correct probability of CSI be

In our computer simulation and analysis, we use the system model depicted in Figure

In order to examine the relationship of the BER performance between MTAS and full complexity system, let the number of the available selected transmit antennas

In order to observe the effects of the CSI correct probability

At last, in order to validate and support our theoretical analyses, in the case of

Performance comparison between simulating values and CUB for the four cases of (2,2), (3,2), (4,2), and (5,2), respectively.

In the case of

Finally, let

Let

MIMO system is a promising technique in future wireless mobile communication. However, among the implications of employing multiple antennas is the considerable increase in the cost of the additional hardware required in the form of RF chains, as well as the physical limitation of wireless devices. Therefore, recently, the investigations of MTAS/MIMO systems have become an explosion of interest. At present, the concerning papers are quite scarce. Therefore, this work focuses mainly on the multiple-transmit antenna selection of MIMO system with STBC. In order to see the effects of ECSI on the BER performance for (

The author declares that there is no conflict of interests regarding the publication of this paper.

This paper is supported by the Natural Science Foundation of Fujian Province of China (no. 2012J01270), by the Technology Research and Development Projects of Quanzhou city (2012Z82), and by the Natural Science Foundation of Huaqiao University (Excellent Level Talents) (no. 11BS430).