Multiple-input Multiple-output Single Carrier Frequency Division Multiple Access Research Articles

Carrier frequency offset estimation for MIMO single-carrier FDMA system in wireless communication

Multiple-Input Multiple-Output (MIMO) Orthogonal Frequency-Division Multiplexing (OFDM) systems and Single-Carrier Frequency-Division Multiple Access (SC-FDMA) are so susceptible to carrier frequency offset (CFO) between transceivers. In this paper, a novel sequence called CAZBAR is proposed. The proposed CAZBAR sequence is based on constant amplitude zero autocorrelation (CAZAC) sequence and barker code. CAZBAR sequence shows better autocorrelation with higher peak at zero shift without ripples, which facilitates estimating carrier frequency offset in communication systems compared to other compensation methods in terms of mean square error (MSE). By applying CAZBAR sequence in MIMO SC-FDMA system 2 × 2 and 4×4, the bit error rate (BER) performance has improved significantly. At a BER=10-2, a SNR reduction of 11 dB is achieved for 2 × 2 system and 7 dB reduction for 4 × 4 system compared to other sequences. Which improves the performance of the whole system MIMO SC-FDMA. The CAZBAR sequence can be applied in 5G techniques, MIMO-OFDM, and MIMO SC-FDMA systems.

WITHDRAWN: Iterative SIC algorithm based detection for multiuser MIMO SC-FDMA uplink system

Abstract In this article, an iterative successive interference cancellation (SIC) method is investigated for uplink multiple input multiple output (MIMO) single carrier frequency division multiple access (SC-FDMA). The real challenge of wireless communication is reliable symbol detection in MIMO SC-FDMA system. An iterative SIC detection method is a prominent technique which acquires low complexity and near -optimal performance for MIMO systems. MIMO SC-FDMA system with renowned multiuser linear data estimation methods are minimum mean square error (MMSE) and zero forcing (ZF) which are frequently employed in single-input single- output detector scheme owing to its affordable estimation and noteworthy performance improvement. Nevertheless, this technique performs matrix inverse calculation whose matrix size related to set of subcarriers utilized in the scheme, generally, it has around thousands. In realistic scenario, matrix inversion operations turn to very high the computational complexity. Therefore, in this contribution proposes an iterative SIC algorithm which achieves near optimal performance with lower complexity. The performance of linear receiver scheme and iterative SIC algorithm is simulated for diverse antennas configuration in MIMO SC-FDMA systems. As a results illustrate that iterative SIC algorithm outperforms conventional linear detection techniques. The analysis of the new detection approach observes good performance and the reduced complexity detection in MIMO SC-FDMA systems.

Low Complexity Linear Detection for Uplink Multiuser MIMO SC-FDMA Systems

In this article, the computational complexity reduction of zero forcing (ZF) and minimum mean square error (MMSE) detection is presented for the uplink multiple input multiple output (MIMO) single carrier frequency division multiple access (SC-FDMA) systems. MIMO SC-FDMA structure with detection of user’s data by the well-known multiuser linear detection approaches such as MMSE and ZF often use single input single output detection systems due to its simple detection and significant performance. Although, these approaches involve inversion of a matrix computation whose matrix dimension depend on number of subcarriers used in the system, mainly, it can be few thousands. In practical detection, the computational complexity of matrix inversion becomes very high. Also, the complexity of the receiver is raised because of the superposition of all the transmitted signals at each antenna received in the systems. The proposed conjugate gradient approach reduces the higher computational overhead of linear detectors, which updates iteratively the ZF and MMSE solution and avoids the direct computation of matrix inverse operation. The analysis of the proposed algorithm reveals the superior performance and the low complexity detection in spatial multiplexing SC-FDMA system. Simulations have investigated that the computational complexity of the proposed method has been greatly reduced and bit-error-rate performance is closer to matched filter bound.

Signal Detection for MIMO SC-FDMA Systems Exploiting Block Circulant Channel Structure

In this paper, we propose a novel receiver scheme for multiple-input–multiple-output (MIMO) single-carrier frequency-division multiple access (SC-FDMA) systems. Various optimal and near-optimalMIMO detection techniques developed for flat-fading channels are not readily applied to MIMO SC-FDMA systems due to the large dimensions of the effective channels. Recently, the system equation of single-input–single-output (SISO) SC-FDMA systems was divided into a number of disjoint subsystems with moderate dimensions, and a previous MIMO detection technique was applied to the subsystems. In this paper, instead of naively extending the previous scheme for SISO SC-FDMA to MIMO SC-FDMA systems, we first express the large system equation of MIMO SC-FDMA, such that the effective channels are block circulant for an arbitrary number of transmit and receive antennas. The block circulant channel structure is then exploited to lower the computational complexity of projections to construct nonoverlapping subsystems. The proposed circulant projection also takes advantage of the sparse channel structure, offering higher postprojection signal-to-noise ratios (SNRs) of the resulting subsystems than those of a naive projection that does not exploit the channel structure. The simulations confirm the desirable performance of the proposed scheme when a relatively small number of subcarriers are used. The proposed technique is also compared with the previous iterative block decision feedback equalization (IB-DFE) and minimum-mean-square-error–prewhitened-maximum-likelihood (MMSE-prewhitened-ML) detection techniques.

GLRT-Based Spectrum Sensing for MIMO SC-FDMA Cognitive Radio Systems in the Presence of Synchronization Impairments

This letter proposes a generalized likelihood ratio test (GLRT)-based spectrum sensing scheme for multiple-input multiple-output (MIMO) single carrier frequency division multiple access (SC-FDMA) cognitive radio networks considering the effect of synchronization impairments such as carrier frequency offset, sampling frequency offset, and symbol timing error. The MIMO SC-FDMA cognitive radio system is initially developed in the presence of synchronization impairments. Subsequently, the finite record GLRT is derived for the above scenario considering the channel response as well as the various synchronization parameters and noise variance to be unknown. Closed-form expressions are derived for the probabilities of false alarm and detection to characterize the finite sample and asymptotic performance of the GLRT. Additionally, a computational complexity analysis is presented for the proposed test. Simulation results demonstrate the performance of the proposed GLRT-based detector in comparison with existing detectors in literature such as the matched filter detector, maximum eigenvalue detector, and the conventional energy detector while simultaneously validating the analytical performance expressions.

GLRT Based Spectrum Sensing for MIMO SC-FDMA Cognitive Radio Networks

This work presents generalized likelihood ratio test (GLRT) based spectrum sensing schemes for multiple-input multiple-output (MIMO) single carrier frequency division multiple access (SC-FDMA) cognitive radio networks. The finite record GLRT is initially derived for the MIMO SC-FDMA cognitive radio scenario. Subsequently, the GLRT is extended to a scenario with unknown noise variance. Closed form expressions are derived for the probabilities of false alarm and detection to characterize the performance of the GLRT for finite sample as well as asymptotic scenarios. Further, the computational complexity of the proposed GLRT-based detectors is analyzed. Simulation results are presented to illustrate the spectrum sensing performance of the proposed tests in comparison with existing detectors in literature such as the conventional energy detector, maximum eigenvalue-based detector and also to verify the analytical expressions derived for the detection performance.

An Iterative DFE Receiver for MIMO SC-FDMA Uplink

Ever since the adoption of the single carrier frequency division multiple access (SC-FDMA) scheme for the uplink in the Long Term Evolution (LTE) standard, there has been much interest in improved receiver algorithms for the same. Successive interference cancelation (SIC) based turbo receivers (Turbo SIC) have been proposed to tackle the multi-stream interference (MSI) for transmission modes such as spatial multiplexing (SM) and multiuser (MU) multiple input multiple output (MIMO). In addition, decision feedback equalizers (DFE) have been discussed as an alternative to the simple linear minimum mean square error (LMMSE) based receivers to suppress intersymbol interference (ISI) caused by the frequency selective multi-path channel. This paper proposes a DFE receiver variant based on parallel interference cancelation (PIC) with maximum likelihood detection (MLD) and ordered SIC (OSIC) principles to suppress ISI and MSI. Simulations show that the proposed receiver performs better than the existing SIC and DFE based receivers and achieves the matched filter bound (MFB) for both coded and uncoded systems.

Frequency domain channel estimation for MIMO SC-FDMA systems with CDM pilots

In this paper, we investigate the frequency domain channel estimation for multiple-input multiple-output (MIMO) single-carrier frequency-division multiple-access (SC-FDMA) systems. In MIMO SC-FDMA, code-division multiplexed (CDM) pilots such as cyclic-shifted Zadoff-Chu sequences have been adopted for channel estimation. However, most frequency domain channel estimation schemes were developed based on frequency-division multiplexing of pilots. We first develop a channel estimation error model by using CDM pilots, and then analyze the mean-square error (MSE) of various minimum MSE (MMSE) frequency domain channel estimation techniques. We show that the cascaded one-dimensional robust MMSE (C1D-RMMSE) technique is complexity-efficient, but it suffers from performance degradation due to the channel correlation mismatch when compared to the two-dimensional MMSE (2D-MMSE) technique. To improve the performance of C1D-RMMSE, we design a robust iterative channel estimation (RITCE) with a frequency replacement (FR) algorithm. After deriving the MSE of iterative channel estimation, we optimize the FR algorithm in terms of the MSE. Then, a low-complexity adaptation method is proposed for practical MIMO SC-FDMA systems, wherein FR is performed according to the reliability of the data estimates. Simulation results show that the proposed RITCE technique effectively improves the performance of C1D-RMMSE, thus providing a better performance-complexity tradeoff than 2D-MMSE.

Adaptive Frequency-Domain RLS DFE for Uplink MIMO SC-FDMA

It is well known that, in the case of highly frequency-selective fading channels, the linear equalizer (LE) can suffer significant performance degradation compared with the decision feedback equalizer (DFE). In this paper, we develop a low-complexity adaptive frequency-domain DFE (AFD-DFE) for single-carrier frequency-division multiple-access (SC-FDMA) systems, where both the feedforward and feedback filters operate in the frequency domain and are adapted using the well-known block recursive least squares (RLS) algorithm. Since this DFE operates entirely in the frequency domain, the complexity of the block RLS algorithm can be substantially reduced when compared with its time-domain counterpart by exploiting a matrix structure in the frequency domain. Furthermore, we extend our formulation to multiple-input–multiple-output (MIMO) SC-FDMA systems, where we show that the AFD-DFE enjoys a significant reduction in computational complexity when compared with the frequency-domain nonadaptive DFE. Finally, extensive simulations are carried out to demonstrate the robustness of our proposed AFD-DFE to high Doppler and carrier frequency offset (CFO).

Joint Low-Complexity Equalization and Carrier Frequency Offsets Compensation Scheme for MIMO SC-FDMA Systems

Due to their noise amplification, conventional Zero-Forcing (ZF) equalizers are not suited for interference-limited environments such as the Single-Carrier Frequency Division Multiple Access (SC-FDMA) in the presence of Carrier-Frequency Offsets (CFOs) . Moreover, they suffer increasing complexity with the number of subcarriers and in particular with Multiple-Input Multiple-Output (MIMO) systems. In this letter, we propose a Joint Low-Complexity Regularized ZF (JLRZF) equalizer for MIMO SC-FDMA systems to cope with these problems. The main objective of this equalizer is to avoid the direct matrix inversion by performing it in two steps to reduce the complexity. We add a regularization term in the second step to avoid the noise amplification. From the obtained simulation results, the proposed scheme is able to enhance the system performance with lower complexity and sufficient robustness to estimation errors.

Regularized MIMO Equalization for SC-FDMA Systems

In this paper, we propose an efficient frequency domain equalization scheme for Multiple Input Multiple Output (MIMO) Single-Carrier Frequency-Division Multiple Access (SC-FDMA) systems. The proposed scheme avoids the complexity problem associated with the conventional MIMO Zero-Forcing (ZF) equalizer as well as the noise enhancement problem. The matrix inversion process associated with the proposed equalization scheme is performed in two steps to reduce complexity. A regularization term is added in the second step of the matrix inversion to avoid the noise enhancement. Simulation experiments on uplink MIMO SC-FDMA systems show that the proposed equalization scheme provides better performance than that of the ZF equalizer and its complexity is far less than that of the ZF equalizer.