UV communications channel modeling incorporating multiple scattering interactions

Theoretical and experimental studies on channel impulse response of short-range non-line-of-sight ultraviolet communications

A theoretical channel impulse response (CIR) model of short-range non-line-of-sight (NLOS) ultraviolet communications (UVC) in noncoplanar geometry under the single-scatter condition is proposed. Simulation results obtained from the widely accepted Monte-Carlo (MC)-based channel model of NLOS UVC are provided to verify corresponding theoretical results obtained from the proposed theoretical single-scatter CIR model. Additionally, an outdoor experiment with a light-emitting diode (LED) as the light source is first designed to measure the channel step response of NLOS UVC and to further validate the proposed theoretical single-scatter CIR model. By varying the different parameters of the transmitter and the receiver, such as the baseline range, the inclination angle, the azimuth angle, the beam divergence angle, and the field-of-view angle, the results of the proposed theoretical single-scatter CIR model and the MC-based channel model are exhibited and further analyzed in detail. Results indicate that the computational time cost by the proposed theoretical single-scatter CIR model is decreased to less than 0.6% of the MC-based one with comparable accuracy in assessing the temporal characteristics of NLOS UVC channels. Additionally, theoretical results obtained from the proposed theoretical single-scatter CIR model manifest satisfactory agreement with corresponding experimental measurements.

Measurement system for ultraviolet channel modeling and communications

There has been an increasing interest in ultraviolet (UV) communications as a promising technology for non-line-of-sight (NLOS) networking by exploiting atmospheric scattering at UV wavelengths that enables a unique NLOS UV communication channel. While there has been significant theoretical and simulation-based investigation of the UV channel characteristics, there is limited work in terms of experimental research and validation of the analytical models. In this paper, we present a flexible experimental system for precise UV channel and communications measurements. Specifically, a transceiver system is developed that consists of a gimbal, UV light-emitting-diode array, and photomultiplier tube detector, node synchronization, and LabVIEW-based data acquisition subsystems. Novel techniques to precisely characterize the UV LED array radiation pattern, absolute transmit power, and field of view of the detector are also presented. The utility of the developed system is then demonstrated by performing a variety of experiments including UV channel model validation and steering optimization for UV communication links where the results were in very good agreement with theory and simulation.

Ultraviolet communication with a large scattering angle via artificial agglomerate fog

Considering strong signal attenuation of the large-angle non-line-of-sight (NLOS) link achieved due to the ultraviolet (UV) scattering properties, we propose to increase the UV communication link gain under a large scattering angle via generating agglomerate fog within a certain range as a secondary light source. In this study, a channel model with locally strong scatterers from agglomerate fog is proposed based on Monte Carlo ray-tracing approaches. Mie theory is adopted to calculate the atmospheric channel parameters, to further evaluate the link gain of a channel under non-uniform atmosphere. The performance of scattering system in the presence of fog conditions depends on the relative positions of the light source to the fog and to the receiver. The link gain results reveal the transmission capabilities for different scattering channel geometries, and give the optimal spray point location within a 10 m communication range. We further establish a foggy NLOS system using an agglomerate fog generator to verify our research in the real environment. The results show that the received signal strength of the NLOS link can be effectively enhanced by constructing scatterers in the atmospheric channel, which significantly decreases the bit-error rate (BER).

Transmission characteristics of the rough surface scattering channel for wireless ultraviolet communication in a cemented ground scenario

During non-line-of-sight ultraviolet (UV) communication, as the elevation angle of the transmitter decreases, more UV photons can be scattered by the ground and reach the receiver, and those photons are important components of the received signals. In this paper, a new, to the best of our knowledge, non-line-of-sight noncoplanar UV scattering transmission model taking into account the UV rough surface scattering characteristics is proposed based on the theory of non-line-of-sight multiple scattering UV light transmission and the Monte Carlo method and Kirchhoff's dwell phase method. The proposed model is validated by experiment. Simulation and experiment show that the energy of UV light is mainly concentrated in the direction of mirror reflection after being scattered by the concrete floor, and the energy gets stronger as it gets closer to the mirror reflection direction. In the case of small elevation angle, the photon energy scattered by the ground and received by the receiver must be considered. The path loss obtained by the improved model better fits with experiment.

Non-line-of-sight multiple reflection underwater wireless optical communications channel model based on a capillary waves rough sea surface

In a non-line-of sight reflective underwater wireless optical communications (UWOC) link, the transmitted beam relies on reflections from the sea surface to propagate to the underwater receiver. Most previous research on reflective channels has sufficiently considered single reflections from a smooth or rough surface, while ignoring the effect of multiple reflections. In fact, a rough sea surface may cause the reflected photons to hit the sea surface again, which is referred as a multiple reflection process. To make up for deficiencies in the existing literature, we first construct a capillary waves rough sea surface model, and then present a multiple reflection channel model with the help of the Monte Carlo ray tracing approach. The path loss and channel impulse response (CIR) were further evaluated based on the model for different communications scenarios. Numerical results suggest that multiple reflections increase the path loss by more than about 5 dB, and reduce the CIR amplitude to less than one-third compared to a single reflection. The work done in this paper aims to provide theoretical support for UWOC system design.

Optimization of ultraviolet communication links based on finite difference stochastic approximation

The ultraviolet communication (UV) channel has been shown to have unique features that could be exploited for covert ground-to-ground communications in complex non-line-of-sight (NLOS) scenarios. A key challenge is the determination of optimal configuration of pointing directions of the UV nodes in unknown NLOS environments to maximize the link performance. In this paper, we proposed a novel steering optimization approach based on Finite Difference Stochastic Approximation (FDSA) to simultaneously optimize the transmitter (Tx) and receiver (Rx) pointing directions without any knowledge about the locations and relative orientations of the two nodes. We perform parametric analysis using Monte Carlo channel simulations to investigate and select appropriate key algorithmic parameters and analyze the performance of the proposed algorithm. We also carry out experimentation using our custom designed UV Tx and Rx gimbal systems and demonstrate the utility and efficiency of the proposed steering optimization approach and show that the received photon count can be increased significantly.

Improvement of a Monte-Carlo-simulation-based turbulence-induced attenuation model for an underwater wireless optical communications channel

The light propagating in an underwater wireless optical communications (UWOC) channel suffers absorption and scattering effects jointly caused by particles and turbulence. By using Monte Carlo simulation (MCS), most of the research involving UWOC channel modeling has sufficiently considered the attenuation caused by particles while ignoring or erroneously considering the absorption and scattering effects induced by turbulence, which will result in an underestimation of attenuation. Motivated by this, we use a MCS method to construct a more complete and more reasonable channel model, which makes up for the deficiencies of previous studies and provides a general analysis framework for the absorption and scattering effects brought by the two factors of particles and turbulence. We further study the path loss, channel impulse response (CIR), and probability density function (PDF) of the light intensity under different communication scenarios. Results show that, compared to the situation involving only particle effects, the addition of consideration of turbulence effects increases the path loss by more than 5 dB, reduces the CIR amplitude to less than one-third, and makes the light intensity PDF become more dispersed. Our research can provide certain theoretical guidance for UWOC system design and performance evaluation.

Laser triangulation measurement system with Scheimpflug calibration based on the Monte Carlo optimization strategy

We propose a linear laser triangulation measurement system using Scheimpflug calibration based on the Monte Carlo optimization strategy. A Scheimpflug inclination camera calibration model is introduced in the measurement system for improving the image definition in small-range measurements with a large depth-of-field. To address the nonlinear optimization problem between the instrument resolution and measurement range, the Monte Carlo method is adopted to determine the optimal optical parameters (scattering angle, Scheimpflug angle, and focus length) in a practical measurement system. Furthermore, we experimentally constructed the measurement system to demonstrate the measurement precision by measuring a standard step block (measurement range 15 mm). The performance parameters of the maximum measurement error, maximum standard deviation, and linearity are obtained as ±7 μm, 0.225 μm, and 0.046%, respectively. Finally, the proposed measurement system based on the Monte Carlo optimization strategy is promising for high-precision measurements in industrial applications and provides guidance for optimizing the design parameters of ranging measurement sensors.

Characteristic Study of Non-Line-of-Sight Scattering Ultraviolet Communication System at Small Elevation Angle

Ultraviolet (UV) communication is considered an effective complement to traditional wireless communication. However, the scattering models of existing non-line-of-sight (NLOS) UV, which are complex, are difficult to combine with the test. In this paper, the single scattering isosceles model with a small elevation angle is proposed first. Then, the relationships between the path loss of single scattering isosceles and elevation angle, emission beam angle, receiving field angle, and transmission distance are studied. Finally, we consider outdoor NLOS UV solar-blind communications test at ranges of up to 100 m and 400 m, with different transmit and receive elevation angles. The results show that the isosceles model is in good agreement with the experiments. In addition, the UV isosceles model exhibits good properties compared with the existing scattering model. The proposed UV isosceles model can be employed as a reference for practical applications in outdoor tests.

Single-collision-induced path loss model of reflection-assisted non-line-of-sight ultraviolet communications

By considering both scattering and reflection events as collision-induced events (CIEs), an analytical path loss model of reflection-assisted non-line-of-sight (NLOS) ultraviolet communications (UVC) is proposed with single CIE incorporated, which refers to the single-collision-induced (SCI) path loss model. More specifically, the analytical expressions of the received optical energy resulting from single-scatter and single-reflection events in reflection-assisted NLOS UVC are respectively derived. Then, in terms of those two expressions, the expression of the proposed SCI path loss model is obtained. Finally, Monte-Carlo (MC) simulations and experimental results are given to verify the correctness and effectiveness of the proposed SCI path loss model. The results manifest that the proposed SCI path loss model can work well in both coplanar and noncoplanar geometry of the reflection-assisted NLOS UVC.

Modeling of ultraviolet propagation from air to human epidermis with wavelength range of 200-300 nm

Ultraviolet (UV) technology plays an important role in the fields of sterilization, disinfection, and short-range wireless optical communications. In this Letter, a theoretical model to determine the UV radiation intensity (UVRI) on human skin is put forward based on the Monte Carlo method, where the UV wavelength ranges from 200 to 300 nm. Meanwhile, the UVRI evaluation algorithm is provided to reproduce the simulation results. Furthermore, the penetration depth of UV radiation in the human epidermis is investigated, which can be used to assess whether UV radiation causes damage to human health. Simulation results coincide with the existing experimental results that the 222-nm UV radiation is harmless to humans at the given dose of 1.7 mJ/cm². This work provides theoretical guidelines for the power control of a UV system when humans are in the vicinity.

Estimation of optimal wavelengths for atmospheric non-line-of-sight optical communication in the UV range of the spectrum in daytime and at night for baseline distances from 50 m to 50 km

For implementation of non-line-of-sight optical communication, the wavelength from the range 200-400 nm at which the signal-to-noise ratio reaches a maximum depending on the baseline distance is estimated. The estimates are performed in the daytime, at moonlit night, and without background radiation. The results obtained allow us to recommend λ=290nm for the implementation of the long-range communication in the daytime and λ=350nm at night. For impulse response that provides the basis for estimating the communication channel quality, four algorithms of the Monte Carlo method are considered. The algorithm with modified double local estimate provides the least error for the same number of photon trajectories. UV radiation is potentially dangerous to humans, and therefore, the illuminance of the Earth's surface is estimated under the optical axis of the source for baseline distances of 2, 10, and 100 m together with the time period of a continuous communication session safe for operators.

Survey on Optical Wireless Communications-Based Services Applied to the Tourism Industry: Potentials and Challenges

In this paper, we explore the potential applications of Optical Wireless Communications in the tourism industry, considering both indoor and outdoor scenarios and different transmission speeds. They range from high-speed atmospheric outdoor links (Free-Space Optics (FSO)) to indoor systems based on high-speed lighting networks (known under the trade name LiFi©) or low-speed services support the Internet of Things networks, using visible light (VLC) or IR emitters, with receivers based on either on classical photodiodes or in image sensors, known as Optical Camera Communications. The avant-garde applications of this technology have been studied focusing on three possible use scenarios: the traveler himself, in what we have called TAN (Tourist Area Network); the tourist facility, which includes not only the hotel but also leisure areas (theme parks, museums, natural protected areas) or services (restaurants, shopping areas, etc.); and the entire destination, which can be both the city or the territory where the tourist is received, within the paradigm of the Smart Tourist Destination (STD). In addition to the classic services based on radio frequency and wired broadband networks, these technologies will make it possible to meet the tourist's challenging needs, the establishment, and the destination. Besides, they cover the services imposed by the new marketing services related to location or context and feed the big data systems used to study tourist behavior.

Modeling of UV diffused-LOS communication channel incorporating obstacle and its applicability analysis

Existing studies of the ultraviolet (UV) channel mainly focus on non-line-of-sight (NLOS) scenarios, while line-of-sight (LOS) scenarios are generally neglected since obstacles sometimes block them. To fill this gap, a UV diffused-LOS channel model in the presence of an obstacle is proposed for the first time, to the best of our knowledge. For easy interpretation, the whole derivation is combined with four typical positions of the obstacle. Moreover, the applicability of the proposed model is investigated via comparison with the classical Monte Carlo simulation model, where the transceiver elevation angle and azimuth angle are always kept optimal. Calculation and simulation results show that when the obstacle thickness is relatively small, the channel attenuation of the UV diffused-LOS system is lower than that of the UV NLOS system with the variation of obstacle width, height, and distance between transceiver and obstacle. In addition, an expression of the impulse response time of the diffused-LOS channel with the obstacle is also derived for tractable analysis.

Single-scatter path loss model of LED-based non-line-of-sight ultraviolet communications

Light-emitting diodes (LEDs) are popularly used as light sources in non-line-of-sight (NLOS) ultraviolet communications (UVC). However, currently reported single-scatter path loss (PL) models of NLOS UVC links assume that the radiant intensity of the light source is uniformly distributed within the beam divergence angle, which cannot well characterize the light emission pattern of LEDs. In this Letter, we propose a single-scatter PL model for LED-based NLOS UVC systems, and the corresponding analytical expression is derived by modeling the LED emission pattern as a Lambertian distribution. Monte Carlo simulations and experimental results are provided to verify the effectiveness of the proposed PL model. Results show that the proposed model can accurately predict PL results in actual situations. The root-mean-square error of the proposed PL model is only about 1 dB in typical scenarios with experimental results as benchmarks. Also, the proposed model is much easier to implement than the currently reported PL model with the light source model of a uniformly distributed emission pattern.

Single and double scattering event analysis for ultraviolet communication channels

This paper presents a channel analysis method for single and double scattering events in non-line-of-sight (NLOS) ultraviolet (UV) communication systems. In general, the calculations of path loss and impulse response of such systems require Monte Carlo random number generations. However, the high computational costs of Monte Carlo methods impose severe limitations on quick reliable evaluations of system performance under complex atmospheric conditions. This paper proposes a sample-based UV channel characterization approach that improves computational performance by multiple orders of magnitude. The proposed novel approach uses fixed probability-based sampling. The method focuses only on single and double scattering events which dominate the received signal. The effects of various fog and dust aerosols are discussed under non-planar realistic conditions. The results demonstrate reliable channel characterization with significantly lower complexity using the proposed approach.

Modeling of ultraviolet omni-directional multiple scattering channel based on Monte Carlo method

Existing studies of ultraviolet (UV) communication channel models focus mainly on point-to-point scenarios. To analyze UV channel characteristics in omni-directional scenarios, we propose a multiple scattering omni-directional channel model based on the Monte Carlo method in this Letter, where we assume that the receiver can be anywhere in a certain area and all the receivers point to the vertical axis of the transmitter. Meanwhile, we validate the proposed model in comparison to the existing point-to-point Monte Carlo simulation model. Simulation results demonstrate that a single scattering model is not applicable to omni-directional analysis due to the difference in path loss between the single scattering model and the multiple scattering model. Furthermore, the transceiver configurations can affect the coverage area of the UV omni-directional communication system significantly. This work presents a new way to obtain UV path loss distribution and provides guidelines for the omni-directional communication system design.

Analysis of the low-probability-of-detection characteristics of ultraviolet communications

Deep ultraviolet wavelengths have been proposed for low-probability-of-detection (LPD) communications, particularly for non-line-of-sight (NLOS) links, because of the increased atmospheric absorption at these wavelengths. Motivated by this favorable feature, we develop a modeling framework to quantitatively study the LPD characteristics of ultraviolet communications (UVC). We then demonstrate the application of our modeling framework by considering various friendly and adversarial system configurations and quantifying the proposed LPD metric (the range at which an adversary can detect communications that uses the minimum power needed to meet given communications performance requirements), as well as investigating the sensitivity of the analysis to various scenario parameters. The results demonstrate the potential for this modeling and analysis approach to provide key insights into the design and operation of LPD NLOS UVC systems.

Modeling of ultraviolet scattering propagation and its applicability analysis

The existing ultraviolet (UV) single scattering models do not incorporate the applicability of transceiver geometry, which makes them have certain errors even in short-range cases. To solve this issue, we propose a single scattering model in this Letter, which is suitable for the case where the transceiver field of view is above ground. This meets the requirements of general UV communication. For tractable analysis, we utilize the number of intersections between special rays on a transceiver cone to classify communication scenarios. Calculation results show that when the transceiver elevation angle exceeds certain values, the path loss difference between the single scattering model and Monte Carlo simulation model increases rapidly, which implies that single scattering approximation is not applicable to these conditions even in short-range cases. This work presents a new way to obtain the path loss of the UV channel and provides guidelines for experimental system design.

Inhomogeneous Poisson process rate function inference from dead-time limited observations

The estimation of an inhomogeneous Poisson process (IHPP) rate function from a set of process observations is an important problem arising in optical communications and a variety of other applications. However, because of practical limitations of detector technology, one is often only able to observe a corrupted version of the original process. In this paper, we consider how inference of the rate function is affected by dead time, a period of time after the detection of an event during which a sensor is insensitive to subsequent IHPP events. We propose a flexible nonparametric Bayesian approach to infer an IHPP rate function given dead-time limited process realizations. Simulation results illustrate the effectiveness of our inference approach and suggest its ability to extend the utility of existing sensor technology by permitting more accurate inference on signals whose observations are dead-time limited. We apply our inference algorithm to experimentally collected optical communications data, demonstrating the practical utility of our approach in the context of channel modeling and validation.

Performance evaluation of modulation and multiple access schemes in ultraviolet optical wireless connections for two atmosphere thickness cases

The exploitation of optical wireless communication channels in a non-line-of-sight regime is studied for point-to-point and networking configurations considering the use of light-emitting diodes. Two environments with different scattering center densities are considered, assuming operation at 265 nm. The bit error rate performance of both pulsed and multicarrier modulation schemes is examined, using numerical approaches. In the networking scenario, a central node only receives data, one node transmits useful data, and the rest of them act as interferers. The performance of the desirable node's transmissions is evaluated. The access to the medium is controlled by a code division multiple access scheme.

Closed-form impulse response model of non-line-of-sight single-scatter propagation

For optical scattering communication, a closed-form expression of channel impulse response (CIR) is favorable for further system design and channel capacity analysis. Combining the mean value theorem of integrals and L'Hôpital's rule, the exact non-line-of-sight (NLOS) single-scatter propagation model is simplified to a closed-form CIR model for a laser source with a narrow beam. Based on this model, by joint geometrical and empirical approaches, a piecewise CIR expression is presented under certain system NLOS geometries. Through numerical results on CIR for various NLOS geometries, the proposed model is verified with the exact NLOS single-scatter propagation model and the previous Gamma fitting model, showing that our model agrees better with the former than the latter.

Effects of haze particles and fog droplets on NLOS ultraviolet communication channels

The performance of non-line-of-sight ultraviolet (UV) scattering communication depends largely on atmospheric parameters. In this paper, we consider haze, fog, two common types of aerosols, and introduce the density and size of aerosols as variables to study the channel path loss for the UV scattering communications. We modify a Monte-Carlo based multiple-scattering model and provide fitting functions to replace the complex calculations of Mie theory, which can be used to obtain the atmospheric coefficients and phase functions for the aerosols. Simulation results reveal that, given fixed elevation angles, the channel path loss is related to both communication range, the aerosol density, and size of aerosols. For a short communication range, an increase of aerosol density can reduce the path loss, which improves the performance of UV scattering communication. However, when the communication range is extended, the path loss will fall first and then rise with density of aerosols. This phenomenon also occurs for an increase of fog drop size. The density or size of aerosols that has the lowest path loss is inversely proportional to the communication range.

Dead time effects in non-line-of-sight ultraviolet communications

By exploiting unique properties of the atmospheric propagation of radiation in the deep-ultraviolet band (200-300 nm), ultraviolet communications (UVC) offers the novel possibility of establishing non-line-of-sight (NLOS) optical links. UVC systems often employ photon-counting receivers, which may exhibit nonideal behavior owing to dead time, a period of time after the detection of a photon during which such a receiver is unable to detect subsequently impinging photons. In this paper, we extend a NLOS UVC channel model to account for dead time and then use this extended model to study the effects of dead time in representative system scenarios. Experimentally collected channel-sounding data is then used for model validation and real-world illustration of these effects. Finally, we investigate the effect of dead time on communication performance. The results demonstrate that dead time can have a significant impact in practical communication scenarios and suggest the usefulness of the proposed modeling framework in developing receiver designs that compensate for dead time effects.

Modeling of optical wireless scattering communication channels over broad spectra

The air molecules and suspended aerosols help to build non-line-of-sight (NLOS) optical scattering communication links using carriers from near infrared to visible light and ultraviolet bands. This paper proposes channel models over such broad spectra. Wavelength dependent Rayleigh and Mie scattering and absorption coefficients of particles are analytically obtained first. They are applied to the ray tracing based Monte Carlo method, which models the photon scattering angle from the scatterer and propagation distance between two consecutive scatterers. Communication link path loss is studied under different operation conditions, including visibility, particle density, wavelength, and communication range. It is observed that optimum communication performances exist across the wavelength under specific atmospheric conditions. Infrared, visible light and ultraviolet bands show their respective features as conditions vary.

Ultraviolet scattering propagation modeling: analysis of path loss versus range

Modeling of the complex atmospheric propagation of deep-ultraviolet (UV) radiation is important for applications such as non-line-of-sight (NLOS) UV communications. Building upon prior work in which it was observed that short-range, singly scattered NLOS path loss varies linearly with range, we formalize this relationship, generalizing it to consider any order of scattering and more-general system characteristics. In particular, we derive the approximate relationship PL[proportionality]r(2-n) between path loss PL and range r for nth-order scattered radiation, and investigate the region of validity of this approximation. Insight arising from the analysis can be invaluable in the development and study of UV systems, as demonstrated by numerical results that illustrate implications of the analysis.

Characteristics of ultraviolet scattering and turbulent channels

The nonline of sight (NLOS) ultraviolet (UV) scattering communication channel and atmospheric optical turbulent channel have been extensively but independently studied in the rich literature. However, the new characteristics of NLOS UV scattering and turbulent channels have not been comprehensively investigated. We propose a configurable framework, unifying the traditional line of sight turbulence theory and the Monte Carlo simulation framework for random scattering of photons. Results show that the scattering link geometry can significantly alter the received signal distribution. Irradiance fluctuations at the receiver may become much weaker due to the smoothing effect of impinging photons from different scattering paths, even though each scattering path undergoes strong turbulence.

Closed-form path loss model of non-line-of-sight ultraviolet single-scatter propagation

Non-line-of-sight ultraviolet propagation models have been developed for both coplanar and noncoplanar geometries. Based on an exact integral-form single-scatter model, this Letter proposes an approximate closed-form model for tractable analysis applicable to noncoplanar geometries with a narrow transmitter beam or receiver field of view. Numerical results on path loss are presented for various system geometries. These results are verified with the integral-form model and a previous approximate model, showing our model agrees well with the former and outperforms the latter.

A single-scatter path loss model for non-line-of-sight ultraviolet channels

In this paper, a novel single-scatter path loss model is presented for non-line-of-sight (NLOS) ultraviolet (UV) channels. This model is developed based on the spherical coordinate system and extends the previous restricted models to handle the general noncoplanar case of arbitrarily pointing transmitter and receiver. Numerical examples on path loss are illustrated for various system geometries. These results are verified with a Monte Carlo (MC) model, demonstrating the validity of this model.

Impact of finite receiver-aperture size in a non-line-of-sight single-scatter propagation model

In this paper, a single-scatter propagation model is developed that expands the classical model by considering a finite receiver-aperture size for non-line-of-sight communication. The expanded model overcomes some of the difficulties with the classical model, most notably, inaccuracies in scenarios with short range and low elevation angle where significant scattering takes place near the receiver. The developed model does not approximate the receiver aperture as a point, but uses its dimensions for both field-of-view and solid-angle computations. To verify the model, a Monte Carlo simulation of photon transport in a turbid medium is applied. Simulation results for temporal responses and path losses are presented at a wavelength of 260 nm that lies in the solar-blind ultraviolet region.