Fading Correlation Research Articles

Analysis of noise immunity of satellite communications under small-scale ionospheric disturbances and time-selective fading of received signals

The article develops a methodology for analyzing the noise immunity of satellite communication systems under small-scale disturbances of the ionosphere, taking into account the possibility of general and time-selective fading of received signals Differential Phase Shift Keying. The refined dependences of the intervals of time and space correlation of fading in the transionospheric radio channel on the parameters of transmitted signals and the state of the ionosphere are obtained. The analytical dependence of the probability of erroneous reception of signals with Differential Phase Shift Keying on the average signal-to-noise ratio at the receiver input, the frequency-time parameters of the signals and the characteristics of small-scale ionospheric inhomogeneities was obtained.

Experimental study on low-altitude UAV-to-ground propagation characteristics in campus environment

In recent years, unmanned aerial vehicle (UAV)-to-ground wireless channels have become focused areas. Thus a better understanding of UAV-to-ground wireless channel characterizations is critical. The large-scale fading characterization is widely analyzed in many research works. Nevertheless, the small-scale fading characterization of low-altitude UAV-to-ground propagation has not been fully modeled. In this work, the close-in (CI) free space and floating-intercept (FI) path loss models are implemented to characterize large-scale fading. The large-scale parameters, i.e., path loss exponent (PLE), shadow fading standard deviation (STD), and shadow fading correlation coefficient, are carefully extracted, analyzed, and compared. Regarding small-scale fading, Akaike’s Information Criteria (AIC) is used to find the most suitable fading distribution. In addition, fade depth (FD), level crossing rate (LCR), and average fade duration (AFD) are also calculated. The quantitative results and comparisons show a noticeable difference with ground propagation. The parameterized models are helpful for further understanding and deployment of UAV-to-ground wireless communication systems.

Wideband Characterization of Equatorial Ionospheric Fading Using MUOS Signals

AbstractSix hundred hours of data from a receiver located at the Cape Verde Atmospheric Observatory at 15°N (dip latitude), has been used to explore the fading correlation of 300–360 MHz trans‐ionospheric signals from the MUOS satellite. Using these data, we have highlighted that the inter‐frequency correlation varies with the fading frequency; components at frequencies close to the Fresnel frequency tend to be well correlated over bandwidths between 15 MHz and greater than 20 MHz, but those at higher fading frequencies are only well correlated over bandwidths between 0.1 and 5 MHz at a correlation threshold of 0.7. When considered over all fading frequencies, flat fading is far more common than frequency selective fading, such that when the frequency separation is 5 MHz and when S4 lies between 0.7 and 0.8, the ratio is ∼16:1, when the separation is 10 MHz the ratio is ∼9:1 and when the separation is 15 MHz it is ∼7:1. Together, the results in this paper suggest that flat fading is the dominant fading mechanism for satellite communication systems, with bandwidths up to 15 MHz, operating in the high VHF and low UHF bands in the equatorial region. At still higher operating bandwidths we expect frequency selective fading to become dominant as the differentially delayed multipath components, occurring via Fresnel scale irregularities, cause destructive and constructive interference.

Optimal Operating Frequency According to the Maximum Interval of Frequency Fade Correlation in a Single-Beam Decametric Radio Link

An analytical method has been developed for determining the dependence of the fading frequency correlation interval in a single-beam decameter radio link on the ratio of the operating frequency to the maximum applicable frequency, the degree of ionospheric diffuseness (the intensity of small-scale irregularities), and the communication range (radio link length). This dependence is obtained as the product of the traditional fading frequency correlation interval in a single-beam decameter radio link by a reduction factor. It is substantiated that as the ratio of the operating frequency to the maximum applicable frequency increases, the value of the traditionally determined fading frequency correlation interval decreases, and the reduction factor increases. The optimal values of the operating frequency (relative to the maximum usable frequency) are established according to the criterion for ensuring the maximum values of the fading frequency correlation interval in a single-beam decameter radio link. It is shown that an increase in the decameter communication range leads to an expansion of the fading frequency correlation intervals, and an increase in the level of ionospheric diffuseness leads to an increase in the root-meansquare deviation of fluctuations of the wave phase front at the ionospheric outlet, which affects the decrease in the maximum value of the fading frequency correlation interval, which observed at a lower optimal value of the operating frequency in a single-beam decameter radio link. The results obtained will allow us to assess the noise immunity of signal reception at different values of frequency correlation intervals, including the occurrence of frequency-selective fading.

Novel Method for Monitoring the Electrochemical Capacitance by In Situ Impedance Spectroscopy as Indicator for Particle Cracking of Nickel-Rich NCMs: Part II. Effect of Oxygen Release Dependent on Particle Morphology

Nickel-rich NCMs (LiMO2, with M = Ni, Co, and Mn) are increasingly commercialized as cathode active materials for lithium-ion batteries due to their high specific capacity. However, the available capacity is limited due to their structural instability at high state of charge, causing the formation of a resistive surface layer upon release of lattice oxygen, observed at different upper cutoff potentials depending on the NCM composition. To understand the impact of this instability, the correlation of oxygen release, capacity fading, and particle cracking was investigated as a function of state of charge for three nickel-rich NCMs, differing either in composition (i.e., in transition metal ratio) or in morphology (i.e., in primary crystallite size). First, the onset of the release of lattice oxygen was identified by on-line electrochemical mass spectrometry (OEMS). In electrochemical cycling experiments, the NCM capacitance was tracked in situ by impedance spectroscopy (EIS) using a micro-reference electrode while the upper cutoff potential was increased every third cycle stepwise from 3.9 V to 5.0 V. Hereby, the effect of the degree of delithiation on the discharge capacity and on the particle integrity (tracked via its surface area) was examined, both for poly- and single-crystalline NCMs.

Wireless Signal Propagation Prediction Based on Computer Vision Sensing Technology for Forestry Security Monitoring.

In this paper, Computer Vision (CV) sensing technology based on Convolutional Neural Network (CNN) is introduced to process topographic maps for predicting wireless signal propagation models, which are applied in the field of forestry security monitoring. In this way, the terrain-related radio propagation characteristic including diffraction loss and shadow fading correlation distance can be predicted or extracted accurately and efficiently. Two data sets are generated for the two prediction tasks, respectively, and are used to train the CNN. To enhance the efficiency for the CNN to predict diffraction losses, multiple output values for different locations on the map are obtained in parallel by the CNN to greatly boost the calculation speed. The proposed scheme achieved a good performance in terms of prediction accuracy and efficiency. For the diffraction loss prediction task, 50% of the normalized prediction error was less than 0.518%, and 95% of the normalized prediction error was less than 8.238%. For the correlation distance extraction task, 50% of the normalized prediction error was less than 1.747%, and 95% of the normalized prediction error was less than 6.423%. Moreover, diffraction losses at 100 positions were predicted simultaneously in one run of CNN under the settings in this paper, for which the processing time of one map is about 6.28 ms, and the average processing time of one location point can be as low as 62.8 us. This paper shows that our proposed CV sensing technology is more efficient in processing geographic information in the target area. Combining a convolutional neural network to realize the close coupling of a prediction model and geographic information, it improves the efficiency and accuracy of prediction.

Laboratory Measurements of the Influence of Turbulence Intensity on the Instantaneous-Fading Reciprocity of Bidirectional Atmospheric Laser Propagation Link

The reciprocity of the atmospheric turbulence channel in the bidirectional atmospheric laser propagation link is experimentally tested. The bidirectional transceiving coaxial atmospheric laser propagation link is built by using a hot air convection-type atmospheric turbulence emulation device with adjustable turbulence intensity. The influence of different turbulence intensities on the instantaneous-fading correlation of channel is analyzed by the spot characteristics. When there is no atmospheric turbulence in the bidirectional transceiving coaxial atmospheric laser propagation link, the value of channel instantaneous fading correlation coefficient was merely 0.023, which indicates we did not find any reciprocity in the optical channel. With the increment in turbulence intensity, the channel instantaneous fading correlation coefficient presented a constant increasing trend and then tended to be stable around 0.9 in the end. At this moment, the similarity of the instantaneous change trends for these two receiving terminal optical signals, and the consistency of their probability density function, indicates that there is good reciprocity between the bidirectional atmospheric turbulence optical channels. With the increase in the optical signal scintillation factor, we can obtain the result where the correlation coefficient value decreases accordingly.

Joint Transmit Beamforming and Phase Shift Design for Reconfigurable Intelligent Surface Assisted MIMO Systems

Reconfigurable intelligent surface (RIS) becomes an increasingly important technology in sixth-generation (6G). The key aspect of RIS is smartly configuring the wireless propagation environment and providing supplementary links to enhance the signal transmission between the BS and the UE. In recent years, there has been a surge of interest in RISs in joint active and passive beamforming design to improve the system performance of RIS-assisted systems with the assumption of uncorrelated environments. To date, far too little attention has been paid to the situations that consider the correlations among the antennas and RIS reflecting elements. In this article, we focus on an RIS-assisted multiple-input multiple-output (MIMO) system under spatial fading correlations, with the statistical channel state information (CSI) known at the transmitter and the RIS. We aim to maximize the ergodic spectral efficiency (SE) of this system. At first, we derive a tight upper bound on the ergodic SE. Concise upper bounds are also shown in special cases of independent and identically distributed (i.i.d.) Rician and Rayleigh, correlated Rayleigh as well as extreme Rician MIMO channels. Next, we propose a benchmark algorithm based on the semidefinite relaxation (SDR) technique to jointly optimize the beamforming vector at the transmitter and phase shift matrix of the RIS. Alternative manner is utilised until both arrive at convergence. Furthermore, we apply the dominant eigen direction transmission scheme to do beamforming in order to reduce the complexity of the algorithm, and consider the column control of the RIS to facilitate practical hardware implementation. Numerical results show the tightness of the upper bounds and the effectiveness of our proposed algorithm for improving the ergodic SE as well as the effects of freedom degrees on performances.

Уточненный метод определения интервала пространственной корреляции замираний в однолучевой декаметровой радиолинии.

In this articlea a refined method have been developed for determining the spatial correlation interval for fading in a decameter radio link with one discrete beam (mode), which are caused by wave diffraction on small-scale ionospheric irregularities. A refined dependence of the spatial correlation interval of fading in a single-beam decameter radio line on the parameters of small-scale ionospheric irregularities, the equivalent length of the radio line and the choice of the operating signal frequency through the value of the root-mean-square deviation of fluctuations of the wave phase front at the output of the inhomogeneous ionosphere is obtained. It is shown that under conditions of disturbances (diffuseness) of the ionosphere, as well as the approach of the operating frequency of the radio line to the maximum applicable frequency, when fluctuations of the phase front of the wave at the output of the ionosphere exceed 1.25 radians, the well-known simplified expression for estimating the interval of spatial correlation of fading can be used in a single-beam decameter radio links with an error of no more than 5%.

Prefixed-threshold real-time selection for correlated turbulent channel model for quantum key distribution with modulating retro-reflectors

Free-space quantum key distribution (QKD) with modulating retro-reflectors (MRR) is adopted to simplify the pointing requirements in practical experiment, which has the potential for mobile and flexible QKD platforms. However, this protocol suffers double-pass weak turbulence that may affect the performance of the QKD experiment in free-space links. In this paper, the free-space QKD with MRR under double-pass correlated turbulent channel is analyzed to examine the relationship between system performance and two parameters of the fading correlation coefficient and the turbulence intensity. The threshold post-selection method (P-RTS) is extended to MRR-QKD scheme under correlated turbulent channel and the simulations show that the P-RTS method is effective to alleviate the effect of atmospheric turbulence and suitable for the situation of double-pass correlated turbulent channel to make the protocol more practical in actual environment.

MIMO channel estimation with arbitrary angle of arrival incident power spectrum for wireless communications

This study proposes an approximate algorithm for the arbitrary angle of arrival (AoA) incident power spectrum in wireless environments. The approach expands approximate algorithms for small angles to the large-angle AoA PDF. To achieve this, the fading correlation of wireless channels is calculated and derived for various theoretical fittings and measured data. Then, the multiple-input multiple-output (MIMO) channel model is reconstructed for special environments using spatial fading correlation (SFC). Following this, the approximate algorithm and its complexity are investigated in depth in the SFC of multi-antenna arrays with small AoA angles under uniform, Gaussian, and Laplacian distributions, which can function in macrocell and microcell environments. Further, the closed form formulas for SFC are derived for the small angle spread of incident signals. The formulas are extended to simulate these cases with large angle spreads, which result in an increasing calculation complexity, particularly for the actual measured results. The selection of the number of samples and the weighting coefficient in the large angle spreads and its fitting accuracy are considered in detail. Based on this relationship, the properties of the temporal correlation and channel of the MIMO uniform linear array are studied and discussed.

Copula function‐based analysis of outage probability and coverage region for wireless multiple access communications with correlated fading channels

From practical and theoretical viewpoints, performance analysis of communications with correlated fading channels is important. In this study, the authors exploit a novel approach based on Copula function concept to investigate the impact of correlation of Rayleigh fading channels on communication performances. One of the most convenient ways to describe the dependence between several variables is using Copula functions. For this purpose, by applying the Farlie–Gumbel–Morgenstern Copula function, they derive closed-form expressions for outage probability as well as coverage region in a wireless multiple access channel. It is shown that the fading correlation improves the outage probability and coverage region for negative dependence structure. Specifically, whenever the dependence structure tends to negative values, the outage and coverage region performance improvement is increased. Finally, the efficiency of the analytical results is illustrated numerically.

Efficient Beamforming Training and Limited Feedback Precoding for Massive MIMO Systems

In cellular communications, deploying a larger number of antennas at the base station, also called massive multiple-input multiple-output (MIMO), can offer a significant improvement in system throughput. In this paper, we exploit the spatial fading correlations in massive MIMO to reduce the downlink training and the corresponding feedback overhead in frequency division duplexing systems. We first study the user clustering, where the users with similar spatial channel correlations are clustered together. In the study, we provide the optimal metric and prove the convergence of the user clustering. Then, we propose an efficient eigenspace training and precoding (EETP) framework, where two different prebeamforming matrices are designed to minimize the channel estimation error and to manage the inter-user interference, respectively. In the results, we show that the channel estimation error for EETP decreases monotonically when either the number of prebeamforming vectors or the number of clusters increases. The spectral efficiency of the new algorithms is evaluated extensively with different user distributions, errors in channel correlations, different numbers of clusters, and different coherence block lengths, as well as with dynamic user scheduling for a large number of users. The new EETP not only achieves significant savings in the downlink training and the corresponding feedback, but also offers significantly higher system throughput compared with the existing schemes in the literature.

Optimum Performance of Short Block Length Codes Under Multivariate Stationary Rayleigh Fading

The performance of short block length codes in the presence of multi-variate stationary Rayleigh fading coherent channels is studied. The channel model is inspired by multi-symbol OFDM transmissions for ultra-reliable low latency communication (URLLC) services, according to which information is sent in a small number of OFDM symbols to reduce latency. More specifically, the dispersion of the coherent fading channel is generalized from the scalar case, which is well known in the literature, to the multivariate one. The obtained expressions are then particularized to the Rayleigh fading statistics and expressed in closed form as a series expansion. Finally, a high SNR approximation of the ergodic capacity and channel dispersion is derived for this particular fading choice. Results show that the code performance depends on the time-frequency fading correlation through very simple functions of the channel correlation coefficients. In particular, it is shown that the channel dispersion converges to a constant plus the sum of the dilogarithms of the correlation coefficients of the channel process. These formulas provide a very useful tool to design physical layer system parameters from channel correlation information measured at the receiver.

DIVERSITY SIGNAL PROCESSING OVER WEIBULL FADING CHANNELS

We present a moments-based approach to the performance analysis of L-branch equal-gain combining and maximal-ratio combining receivers, operating in independent or correlated, not necessarily identically distributed, Weibull fading. For both equal-gain combining and maximal-ratio combining receivers the moments of the output signal-to-noise ratio are obtained in closed-form. An accurate approximate expression is derived for the moment-generating function of the output signal-to-noise ratio of the equal-gain combining receiver utilizing the Padé approximants theory, while a closed-form expression for the corresponding MGF of the maximal-ratio combining receiver, is obtained. Significant performance criteria, such as average output signal-to-noise ratio, amount of fading and spectral efficiency at the low power regime, are extracted in closed-forms, using the moments of the output signal-to-noise ratio for both independent and correlative fading. Moreover, using the well-known moment-generating function approach, the outage and the average symbol error probability for several coherent, non-coherent, binary, and multilevel modulation schemes, are studied. The average symbol error probability of dual-branch equal-gain combining and maximal-ratio combining receivers is also obtained when correlative fading is considered in the diversity input branches. The proposed mathematical analysis is illustrated by various numerical results and validated by computer simulations.

Average bit error rate of the direct receive-diversity free-space optical system over correlated non-Kolmogorov turbulence fading channels

The average bit error rate (BER) performance of direct single-input multiple-output (SIMO) free-space optical link over correlated non-Kolmogorov turbulence fading channels is studied. In particular, the new closed-form expressions of BER performance of maximal ratio combining (MRC) and equal gain combining (EGC) receive-diversity systems are derived by α-μ distribution approximation method. The influence of both spectral power law and the channel correlation on the BER performance of MRC and EGC diversity systems is systematically investigated and compared. Monte Carlo simulation results are also presented to illustrate the validity of the proposed approach. We will help to investigate the fading correlation in spatial diversity systems and provide useful information for the design of the diversity system.

Performance analysis of maximal ratio transmission with receiver antenna selection over correlated Nakagami-m fading channels

In this paper, we develop a framework to analyze the performance analysis of multi-antenna system that employ maximal-ratio transmission with receive antenna selection (MRT/RAS) over correlated Nakagami-m fading channels. We derive the probability density function (pdf) of the post processing signal-to-noise ratio at the output of the decoder, when spatial fading correlation is assumed. Utilizing the pdf, a closed-form analytical expression is derived in terms of channel capacity, outage probability and symbol error rate (SER) of M-ary modulation schemes. It can be observed that the performance loss in terms of capacity and SER is negligible when the separation between adjacent antennas is as large as 0.5 for exponential correlation model. Numerical outcomes considering the spatial correlation represent the performance characteristics and analyze their impacts on channel capacity, outage probability and SER of MRT/RAS system.

Pre-detection dual EGC receiver over correlated η-μ channels with arbitrary fading parameters

ABSTRACT In this letter, we derive a novel expression of the correlated joint PDF of the η–µ distribution to evaluate the performance of correlated equal gain combining (EGC) receiver over η–µ fading channels. The joint PDF is derived from the correlated chi-square distribution using the method of random variable transformations and some algebraic calculations. The derived expressions which consider arbitrary channel parameters along with the correlation and non-identical fading will be closer to the practical scenario as these effects are frequently encountered in practical situations. In the analytical section, we have analyzed the effect of non-identical fading condition along with the impact of correlation and fading severity on the bit error rate (BER) and outage. The results were verified with the help of Monte Carlo simulations and found to be in close.

Large-Scale Fading Characteristics and Models for Vehicle-to-Pedestrian Channel at 5-GHz

Vehicle-to-Pedestrian (V2P) communication is essential to enable a reliable collision avoidance system for vehicles and vulnerable road users (VRUs). In order to develop a reliable communication system accurate channel models are required. However, no dedicated channel model for V2P communication in critical scenarios has been proposed so far. To develop a channel model, we conducted wideband channel sounding measurements considering a typical collision scenario between a vehicle and a pedestrian in line-of-sight (LoS) and non-LoS (NLoS) situations. The wideband measurement data is used to study the characteristics of large-scale or shadow fading, pathloss and diffraction loss. The spatial correlation of shadow fading is examined and different models are proposed. For NLoS scenario, a 3D scenario model is designed to simulate the diffraction at a row of parked vehicles. The diffraction loss due to parked vehicles is analyzed and modeled based on multiple knife-edge diffraction model combined with a two-ray pathloss model. The results show that the proposed diffraction model provides a good match to the measured pathloss.

Approximation Algorithm Based Channel Estimation for Massive MIMO Antenna Array Systems

This paper presents a three-dimensional (3D) massive multiple-input and multiple-output (MIMO) antenna array model, which includes the spherical array assumption and geometric properties for future fifth generation (5G) wireless communications. A parametric approximation algorithm is developed for estimating the spatial fading correlations (SFCs) and channel capacities of the 3D massive MIMO antenna array systems under different power angular spectrum (PAS). The relationship between correlation with the spacing of antenna arrays and angular parameters was classified. The results show that the simulation values of the approximate method fit the theoretical calculation very well, thereby validating the feasibility of the proposed 3D large-scale massive MIMO model.