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Keywords = single-carrier frequency domain equalization

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19 pages, 8922 KB  
Article
A Two-Stage Time-Domain Equalization Method for Mitigating Nonlinear Distortion in Single-Carrier THz Communication Systems
by Yunchuan Liu, Hongcheng Yang, Ziqi Liu, Minghan Jia, Shang Li, Jiajie Li, Jingsuo He, Zhe Yang and Cunlin Zhang
Sensors 2025, 25(15), 4825; https://doi.org/10.3390/s25154825 - 6 Aug 2025
Cited by 1 | Viewed by 570
Abstract
Terahertz (THz) communication is regarded as a key technology for achieving high-speed data transmission and wireless communication due to its ultra-high frequency and large bandwidth characteristics. In this study, we focus on a single-carrier THz communication system and propose a two-stage deep learning-based [...] Read more.
Terahertz (THz) communication is regarded as a key technology for achieving high-speed data transmission and wireless communication due to its ultra-high frequency and large bandwidth characteristics. In this study, we focus on a single-carrier THz communication system and propose a two-stage deep learning-based time-domain equalization method, specifically designed to mitigate the nonlinear distortions in such systems, thereby enhancing communication reliability and performance. The method adopts a progressive learning strategy, whereby global characteristics are initially captured before progressing to local levels. This enables the effective identification and equalization of channel characteristics, particularly in the mitigation of nonlinear distortion and random interference, which can otherwise negatively impact communication quality. In an experimental setting at a frequency of 230 GHz and a channel distance of 2.1 m, this method demonstrated a substantial reduction in the system’s bit error rate (BER), exhibiting particularly noteworthy performance enhancements in comparison to before equalization. To validate the model’s generalization capability, data collection and testing were also conducted at a frequency of 310 GHz and a channel distance of 1.5 m. Experimental results show that the proposed time-domain equalizer, trained using the two-stage DL framework, achieved significant BER reductions of approximately 92.15% at 230 GHz (2.1 m) and 83.33% at 310 GHz (1.5 m), compared to the system’s performance prior to equalization. The method exhibits stable performance under varying conditions, supporting its use in future THz communication studies. Full article
(This article belongs to the Section Communications)
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15 pages, 3831 KB  
Article
Narrowband Interference Cancellation Using a Fine Frequency Shift in Single-Carrier Frequency Domain Equalization (SC-FDE) Systems
by Seung-Mi Yun, Yeong-Bin Ryu, Dong-Ho Song and Eui-Rim Jeong
Electronics 2025, 14(4), 798; https://doi.org/10.3390/electronics14040798 - 18 Feb 2025
Viewed by 807
Abstract
This paper proposes a narrowband interference (NBI) cancellation technique for single-carrier frequency domain equalization (SC-FDE) systems. SC-FDE is a transmission scheme commonly used in mobile communication uplinks or low-Earth-orbit (LEO) satellite communications due to its low peak-to-average power ratio (PAPR) characteristics. In the [...] Read more.
This paper proposes a narrowband interference (NBI) cancellation technique for single-carrier frequency domain equalization (SC-FDE) systems. SC-FDE is a transmission scheme commonly used in mobile communication uplinks or low-Earth-orbit (LEO) satellite communications due to its low peak-to-average power ratio (PAPR) characteristics. In the presence of narrowband interference, removing the interference is crucial, as SC-FDE systems are vulnerable to the interference. A straightforward approach to interference removal is frequency nulling, which can be easily implemented using FFT (Fast Fourier Transform). However, this method is only effective when the interference frequency coincides with specific FFT grid frequencies. To address this limitation, this paper proposes identifying the interference frequency, applying a fine frequency shift, and then canceling or nulling the interference. After that, the fine frequency is shifted back for reception. By aligning the interference frequency with an FFT grid frequency, the proposed technique enables simple and effective narrowband interference cancellation. The performance of the proposed method is validated through computer simulations, which demonstrate excellent interference cancellation performance regardless of the signal-to-interference ratio (SIR). Full article
(This article belongs to the Section Microwave and Wireless Communications)
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14 pages, 560 KB  
Article
A Design of NLOS Communication Scheme Based on SC-FDE with Cyclic Suffix for UAV Payload Communication
by Peng Wang, Xin Xiang, Rui Wang, Pengyu Dong and Qiao Li
Drones 2024, 8(11), 648; https://doi.org/10.3390/drones8110648 - 6 Nov 2024
Viewed by 1188
Abstract
Non-line-of-sight (NLOS) communication with severe loss always leads to performance degradation in unmanned aerial vehicle (UAV) payload communication. In this paper, a UAV NLOS communication scheme based on single-carrier frequency domain equalization with cyclic prefix and cyclic suffix (CP/CS-SC-FDE) is designed. First, the [...] Read more.
Non-line-of-sight (NLOS) communication with severe loss always leads to performance degradation in unmanned aerial vehicle (UAV) payload communication. In this paper, a UAV NLOS communication scheme based on single-carrier frequency domain equalization with cyclic prefix and cyclic suffix (CP/CS-SC-FDE) is designed. First, the reasons behind the generation of later intersymbol interference (LISI) in UAV NLOS communication are investigated. Then, the frame structure of conventional single-carrier frequency domain equalization with cyclic prefix (CP-SC-FDE) is improved, and the UAV NLOS communication frame structure based on cyclic prefix (CP) and cyclic suffix (CS) is designed. Furthermore, a channel estimation algorithm applicable to this scheme is proposed. The numerical results show that this UAV communication scheme can eliminate intersymbol interference (ISI) in NLOS communication. Compared with the conventional CP-SC-FDE system, this scheme can achieve excellent performance in the Rayleigh channel and other standard NLOS channels. In the CP/CS-SC-FDE system, the BER result is similar to that under ideal synchronization. Full article
(This article belongs to the Section Drone Communications)
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14 pages, 3098 KB  
Article
An Assessment of Receiver Algorithms for Distributed Massive MIMO Systems: Investigating Design Solutions and Performance
by Ali Gashtasbi, Mário Marques da Silva and Rui Dinis
Electronics 2024, 13(8), 1560; https://doi.org/10.3390/electronics13081560 - 19 Apr 2024
Cited by 1 | Viewed by 1978
Abstract
This study investigates receiver design solutions for distributed Massive Multiple Input Multiple Output (D-m MIMO) systems, taking into account parameters such as number of access points as well as concerns related to channel estimates that use single-carrier frequency-domain equalization (SC-FDE). A significant contribution [...] Read more.
This study investigates receiver design solutions for distributed Massive Multiple Input Multiple Output (D-m MIMO) systems, taking into account parameters such as number of access points as well as concerns related to channel estimates that use single-carrier frequency-domain equalization (SC-FDE). A significant contribution of this research is the integration of Low-Density Parity-Check (LDPC) codes to simplify coding complexity and enhance communication efficiency. The research examines different receiver designs, such as spatial antenna correlation and sophisticated channel estimation methods. The authors propose integrating LDPC codes into the receiver architecture to simplify computations and enhance error correction and decoding. Moreover, the paper examines performance evaluation measures and approaches, highlighting the trade-offs among complexity, spectral efficiency, and error performance. The comparative analysis indicates the benefits, in terms of performance, of incorporating LDPC codes and improving system throughput and dependability. We examine four distinct receiver algorithms: zero-forcing (ZF), minimum mean square error (MMSE), maximum ratio combining (MRC), and equal gain combining (EGC). The study shows that MRC and EGC receivers work well in D-m MIMO because they make the receiver system less computationally demanding. Full article
(This article belongs to the Special Issue Smart Communication and Networking in the 6G Era)
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12 pages, 2333 KB  
Article
On the Performance of Partial LIS for 6G Systems
by Mário Marques da Silva, Ali Gashtasbi, Rui Dinis, Gelson Pembele, Américo Correia and João Guerreiro
Electronics 2024, 13(6), 1035; https://doi.org/10.3390/electronics13061035 - 10 Mar 2024
Cited by 4 | Viewed by 1713
Abstract
One of the key technologies of 6G communications relies on large intelligent surfaces (LIS), which can be viewed as a near-field beamformer that is supportive of extremely high symbol rates and enables a high level of interference avoidance. This article focuses on LIS [...] Read more.
One of the key technologies of 6G communications relies on large intelligent surfaces (LIS), which can be viewed as a near-field beamformer that is supportive of extremely high symbol rates and enables a high level of interference avoidance. This article focuses on LIS systems, analysing the impact of the use of a whole LIS system or a subset of an antenna array. We analyse an LIS system associated with a single carrier with frequency domain equalization (SC-FDE), and with different receiver types of varying complexities. Because it is a function of the number of antennas, the computational complexity decreases when antenna elements that are closer to the user equipment are used instead of the whole LIS. Moreover, with a partial LIS, a reduction of energy consumption is achieved, and mitigation of the interference levels is obtained, allowing a performance very close to that obtained with the whole LIS system. Full article
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17 pages, 7788 KB  
Article
An Improved Orthogonal Matching Pursuit Algorithm for CS-Based Channel Estimation
by Lu Si, Weizhang Xu, Xinle Yu and Hang Yin
Sensors 2023, 23(23), 9509; https://doi.org/10.3390/s23239509 - 29 Nov 2023
Cited by 6 | Viewed by 2527
Abstract
Wireless broadband transmission channels usually have time-domain-sparse properties, and the reconstruction of these channels using a greedy search-based orthogonal matching pursuit (OMP) algorithm can effectively improve channel estimation performance while decreasing the length of the reference signal. In this research, the improved OMP [...] Read more.
Wireless broadband transmission channels usually have time-domain-sparse properties, and the reconstruction of these channels using a greedy search-based orthogonal matching pursuit (OMP) algorithm can effectively improve channel estimation performance while decreasing the length of the reference signal. In this research, the improved OMP and SOMP algorithms for compressed-sensing (CS)-based channel estimation are proposed for single-carrier frequency domain equalization (SC-FDE) systems, which, in comparison with conventional algorithms, calculate the path gain after obtaining the path delay and updating the observation matrices. The reliability of the communication system is further enhanced because the channel path gain is calculated using longer observation vectors, which lowers the Cramér–Rao lower bound (CRLB) and results in better channel estimation performance. The developed method can also be applied to time-domain-synchronous OFDM (TDS-OFDM) systems, and it is applicable to the improvement of other matching pursuit algorithms. Full article
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15 pages, 3884 KB  
Article
On the Performance of LDPC-Coded Large Intelligent Antenna System
by Ali Gashtasbi, Mário Marques da Silva, Rui Dinis and João Guerreiro
Appl. Sci. 2023, 13(8), 4738; https://doi.org/10.3390/app13084738 - 10 Apr 2023
Cited by 6 | Viewed by 2134
Abstract
This article studies Large Intelligent Systems (LIS) along with Single Carrier with Frequency Domain Equalization (SC-FDE), utilizing Low-Density Parity-Check (LDPC). Four different receivers are studied in the scenarios described above, namely Equal Gain Combining (EGC), Maximum Ratio Combining (MRC), Zero Forcing (ZF), and [...] Read more.
This article studies Large Intelligent Systems (LIS) along with Single Carrier with Frequency Domain Equalization (SC-FDE), utilizing Low-Density Parity-Check (LDPC). Four different receivers are studied in the scenarios described above, namely Equal Gain Combining (EGC), Maximum Ratio Combining (MRC), Zero Forcing (ZF), and Minimum Mean Squared Error (MMSE). The results of this article show that the use of LDPC codes leads to an improvement of performance by about 2 dB for a 4X25 LIS system and by 3 dB for a 4X225 LIS system, as compared to similar systems without LDPC codes. Moreover, for all simulations, the MMSE receiver achieves the best overall performance, while EGC performs the worst. Full article
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
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15 pages, 346 KB  
Article
Estimation of IQI for AF Cooperative Single-Carrier Frequency Domain Equalization Systems Using Channel Decoder Feedback
by Mohamed Marey and Hala Mostafa
Electronics 2023, 12(4), 863; https://doi.org/10.3390/electronics12040863 - 8 Feb 2023
Viewed by 1848
Abstract
The process of amplify-and-forward (AF) relaying is essential to the improvement of both current and future wireless communication standards. Nevertheless, significant performance loss may be posed by in-phase and quadrature imbalance (IQI) caused by defects in radio frequency components. Prior studies into this [...] Read more.
The process of amplify-and-forward (AF) relaying is essential to the improvement of both current and future wireless communication standards. Nevertheless, significant performance loss may be posed by in-phase and quadrature imbalance (IQI) caused by defects in radio frequency components. Prior studies into this research problem were restricted to uncoded broadcasts, even though error-correcting codes are frequently used in real applications. To this purpose, we develop a novel approach applicable to the destination terminal for estimating and compensating for IQI that occurs at the source, relay, and destination terminals. The proposed approach is explored in the context of coded emissions of AF single-carrier frequency domain equalization (SC-FDE) systems. In contrast to other methods for mitigating this radio frequency deflection at each node, the proposed system estimates and compensates for all IQI parameters and channel impulse responses simultaneously. With the use of an iterative expectation–maximization (EM) process, a maximum-likelihood (ML) solution to the problem is computed. At each round, the soft information supplied by the channel decoder is employed to create the a posteriori expectations of the sent data symbols, which are then fed into the estimation process as if they were training symbols. In addition, we address how to use the estimated parameters to perform the task of data detection. The offered predictor and detector exchange soft information in a sequential process, boosting the overall system effectiveness. The simulation results show that the proposed method is not only practicable but superior to the established methods. Full article
(This article belongs to the Special Issue New Trends and Methods in Communication Systems)
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13 pages, 1850 KB  
Article
An Estimated δ-Based Iterative Block Decision Feedback Equalization in SC-FDE System
by Yidong Liu, Xihong Chen, Dizhe Yuan and Denghua Hu
Electronics 2022, 11(20), 3397; https://doi.org/10.3390/electronics11203397 - 20 Oct 2022
Cited by 1 | Viewed by 2024
Abstract
We provide a novel nonlinear frequency domain equalization algorithm for the frequency domain equalization of an SC-FDE system by improving the classical iterative block decision feedback equalization (IBDFE) algorithm and applying δ estimation to the improved algorithm. The improvement of the IBDFE algorithm [...] Read more.
We provide a novel nonlinear frequency domain equalization algorithm for the frequency domain equalization of an SC-FDE system by improving the classical iterative block decision feedback equalization (IBDFE) algorithm and applying δ estimation to the improved algorithm. The improvement of the IBDFE algorithm is carried out by replacing the ZF equalization in the feedback branch with the MMSE equalization and eliminating the iteration of the correlation factor, thus reducing the noise error and the computational complexity of the original algorithm. δ estimation can estimate residual inter-symbol interference in the signal after MMSE equalization and reject it, thus further improving the equalization accuracy. The simulation results show that the performance of the novel algorithm is better than that of the IBDFE algorithm with similar complexity, or the complexity of the novel algorithm is lower than that of the IBDFE algorithm with similar performance. Full article
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12 pages, 5644 KB  
Article
On the Performance of LDPC-Coded MIMO Schemes for Underwater Communications Using 5G-like Processing
by Mário Marques da Silva, Rui Dinis, José Aleixo and Luís M. L. Oliveira
Appl. Sci. 2022, 12(11), 5549; https://doi.org/10.3390/app12115549 - 30 May 2022
Cited by 6 | Viewed by 1904
Abstract
This article studies the underwater acoustic (UWA) communications associated with multiple input–multiple output (MIMO), single carrier with frequency-domain equalization (SC-FDE), and with low-density parity-check (LDPC) codes. Low-complexity receivers such as equal gain combining (EGC), maximum ratio combining (MRC), and iterative block—decision feedback equalization [...] Read more.
This article studies the underwater acoustic (UWA) communications associated with multiple input–multiple output (MIMO), single carrier with frequency-domain equalization (SC-FDE), and with low-density parity-check (LDPC) codes. Low-complexity receivers such as equal gain combining (EGC), maximum ratio combining (MRC), and iterative block—decision feedback equalization (IB-DFE) are studied in the above-described scenarios. Furthermore, due to the low carrier frequencies utilized in UWA communications, the performance of the proposed MIMO scenarios is studied at different levels of channel correlation between antennas. This article shows that the combined schemes tend to achieve good performances while presenting low complexity, even in scenarios with channel correlation between antennas. Full article
(This article belongs to the Special Issue Transmission Techniques for 5G and Beyond, Volume Ⅱ)
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13 pages, 4806 KB  
Article
Prefiltered Single-Carrier Frequency-Domain Equalization for Binary CPM over Shallow Water Acoustic Channel
by Ruigang Han, Ning Jia, Zhongyuan Guo, Jianchun Huang, Dong Xiao and Shengming Guo
Sensors 2022, 22(10), 3821; https://doi.org/10.3390/s22103821 - 18 May 2022
Cited by 3 | Viewed by 2306
Abstract
The continuous phase modulation (CPM) technique is an excellent solution for underwater acoustic (UWA) channels with limited bandwidth and high propagation attenuation. However, the severe intersymbol interference is a big problem for the algorithm applying in shallow water. To solve this problem, an [...] Read more.
The continuous phase modulation (CPM) technique is an excellent solution for underwater acoustic (UWA) channels with limited bandwidth and high propagation attenuation. However, the severe intersymbol interference is a big problem for the algorithm applying in shallow water. To solve this problem, an algorithm for prefiltered single-carrier frequency-domain equalization (PF-SCFDE) is presented in this paper. The regular whitening filter is replaced by a prefilter in the proposed algorithm. The output information sequence of this prefilter contains the forward information. To improve the performance, the output of the equalizer, combined with the forward information, is used to make the maximum likelihood estimation. The simulation results with minimum-shift keying and Gaussian-filtered minimum-shift keying signals over shallow water acoustic channels with low root mean square delay spread demonstrate that PF-SCFDE outperformed the traditional single-carrier frequency-domain equalization (SCFDE) by approximately 1 dB under a bit error rate (BER) of 10−4. A shallow sea trial has demonstrated the effectiveness of PF-SCFDE; PF-SCFDE had a reduction in BER of 18.35% as compared to the traditional SCFDE. Full article
(This article belongs to the Special Issue Underwater Wireless Communications)
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11 pages, 7486 KB  
Article
On the Performance of LDPC-Coded Massive MIMO Schemes with Power-Ordered NOMA Techniques
by Mário Marques da Silva, Rui Dinis and Gelson Martins
Appl. Sci. 2021, 11(18), 8684; https://doi.org/10.3390/app11188684 - 17 Sep 2021
Cited by 16 | Viewed by 2639
Abstract
This article studies the power-ordered Non-Orthogonal Multiple Access (NOMA) techniques associated with Low-Density Parity-Check (LDPC) codes, adopted for use in the fifth generation of cellular communications (5G). Both conventional and cooperative NOMA are studied, associated with Single Carrier with Frequency Domain Equalization (SC-FDE) [...] Read more.
This article studies the power-ordered Non-Orthogonal Multiple Access (NOMA) techniques associated with Low-Density Parity-Check (LDPC) codes, adopted for use in the fifth generation of cellular communications (5G). Both conventional and cooperative NOMA are studied, associated with Single Carrier with Frequency Domain Equalization (SC-FDE) and massive Multiple-Input Multiple-Output (MIMO). Billions of Internet of Things (IoT) devices are aimed to be incorporated by the Fourth Industrial Revolution, requiring more efficient use of the spectrum. NOMA techniques have the potential to support that goal and represent strong candidates for incorporation into future releases of 5G. This article shows that combined schemes associated with both conventional and cooperative LDPC-coded NOMA achieve good performance while keeping the computational complexity at an acceptable level. Full article
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16 pages, 3404 KB  
Article
SC-FDE Layer for Sensor Networks in Remote Areas Using NVIS Communications
by Tomas Gonzalez, Joaquim Porte, Jordi Male, Joan Navarro, Josep M. Maso, Agustín Zaballos, Joan L. Pijoan and David Badia
Electronics 2021, 10(14), 1636; https://doi.org/10.3390/electronics10141636 - 9 Jul 2021
Cited by 4 | Viewed by 2974
Abstract
Despite high costs and lengthy deployments, satellite communications have traditionally been used to provide coverage in remote areas. However, given the fact that there is no radio infrastructure available in these areas, Near Vertical Incidence Skywave (NVIS) technology has positioned itself as an [...] Read more.
Despite high costs and lengthy deployments, satellite communications have traditionally been used to provide coverage in remote areas. However, given the fact that there is no radio infrastructure available in these areas, Near Vertical Incidence Skywave (NVIS) technology has positioned itself as an attractive alternative to communicate with low-power nodes in remote areas. This type of communication works in the HF frequency range complying with STANAG and MIL-STD standards, which define a physical layer for scenarios that differ from NVIS and low-power communication. The purpose of this paper was to present the definition of a new communication physical layer based on single-carrier frequency-domain equalization (SC-FDE) based on these standards but adapted to the ionospheric communication channel. This physical layer was compared to an OFDM-based layer from a previous study. The experiments performed show that this new approach achieves better results than OFDM in terms of a higher signal quality with a higher specific BER probability. Finally, this layer was also used in the theoretical design of an NVIS gateway to link sensor network devices spanning large-scale remote areas in a secure manner in the context of ubiquitous sensor networks (USN). Full article
(This article belongs to the Special Issue Ubiquitous Sensor Networks)
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15 pages, 4274 KB  
Article
Power-Ordered NOMA with Massive MIMO for 5G Systems
by Mário Marques da Silva and Rui Dinis
Appl. Sci. 2021, 11(8), 3541; https://doi.org/10.3390/app11083541 - 15 Apr 2021
Cited by 19 | Viewed by 3406
Abstract
The aim of this article is to study the conventional and cooperative power-order Non-Orthogonal Multiple Access (NOMA) using the Single Carrier with Frequency Domain Equalization (SC-FDE) block transmission technique, associated with massive Multiple-Input Multiple-Output (MIMO), evidencing its added value in terms of spectral [...] Read more.
The aim of this article is to study the conventional and cooperative power-order Non-Orthogonal Multiple Access (NOMA) using the Single Carrier with Frequency Domain Equalization (SC-FDE) block transmission technique, associated with massive Multiple-Input Multiple-Output (MIMO), evidencing its added value in terms of spectral efficiency of such combined scheme. The new services provided by Fifth Generation of Cellular Communications (5G) are supported by new techniques, such as millimeter waves (mm-wave), alongside the conventional centimeter waves and by massive MIMO (m-MIMO) technology. NOMA is expected to be incorporated in future releases of 5G, as it tends to achieve a capacity gain, highly required for the massive number of Internet of things (IoT) devices, namely to support an efficient reuse of limited spectrum. This article shows that the combination of conventional and cooperative NOMA with m-MIMO and SC-FDE, tends to achieve capacity gains, while the performance only suffers a moderate degradation, being an acceptable alternative for future evolutions of 5G. Moreover, it is shown that Cooperative NOMA tends to outperform Conventional NOMA. Moreover, this article shows that the Maximum Ratio Combiner (MRC) receiver is very well fitted to be combined with NOMA and m-MIMO, as it achieves a good performance while reducing the receiver complexity. Full article
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13 pages, 11324 KB  
Article
Estimating the Performance of MIMO SC-FDE Systems Using SISO Measurements
by Daniel Fernandes, Francisco Cercas, Rui Dinis and Pedro Sebastião
Appl. Sci. 2020, 10(21), 7492; https://doi.org/10.3390/app10217492 - 25 Oct 2020
Viewed by 2588
Abstract
The demand for ubiquitous telecommunications services forces operators to have a special concern about signal quality and the coverage area they offer to their customers. This was usually checked by using suitable propagation models for Single Input Single Output (SISO) systems, which are [...] Read more.
The demand for ubiquitous telecommunications services forces operators to have a special concern about signal quality and the coverage area they offer to their customers. This was usually checked by using suitable propagation models for Single Input Single Output (SISO) systems, which are no longer the case for new and future mobile generations, such as 5G and beyond. To guarantee good signal quality coverage, operators started to replace these models with Multiple Input Multiple Output (MIMO) ones. To achieve the best results, these models are usually calibrated with Drive Test (DT) measures; however, the DTs available for MIMO propagation models are sparse, in contrast to SISO ones. The main contribution presented in this paper is a methodology to extend the propagation models of SISO systems so they can be applied in MIMO sytems with Single-Carrier and Frequency-Domain Equalization (SC-FDE), while still using DTs acquired for SISO systems. This paper presents the impact on Bit Error Rate (BER) performance and its coverage area resulting from the application of our proposed method. We consider a MIMO SC-FDE system with an Iterative Block Decision Feedback Equalization (IB-DFE) receiver and we present the improvement expressions for the BER that we illustrate with some simulations. Full article
(This article belongs to the Special Issue Transmission Techniques for 5G and Beyond)
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