# Analysis of Visible Light Communication Link’s Performance in Fire Smoke Environment

Authors: Yu-Feng Yang; Kang-Kang Chang; Ying Ci
Journal: Complexity
 (2021)

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## Abstract

This paper mainly studies the communication performance of visible light communication link in fire smoke environment. Compared with the previous studies, this study no longer only considers a single wavelength and considers the influence of smoke and background light noise. Firstly, the variation of background light noise caused by sunlight during a day was analyzed, then signal-to-noise ratio (SNR) and bit error rate (BER) of the visible light communication link in fire smoke environment with different visibility were calculated, and finally, the variation of received power with the angleβ between the LED optical axis and the communication link (from LED to receiver) was analyzed. The results show that, during a day from 07:00 to 18:30, background light noise first increases and then decreases, BER changes in the same trend and reaches the maximum at about 13:00, while SNR changes in the opposite trend and reaches the minimum at about 13:00. When visibility is 100 m, the maximum difference of SNR between 7:00 and 13:00 is about 19 dB, and the maximum difference of BER is about 5.3E-10. At 7:00, the maximum difference of SNR is about 13 dB between the visibility of 1 m and the visibility of 100 m, and the maximum difference of BER is about 1.44E − 11, and received power decreases with the increase of β. In addition, SNR increases with visibility of fire smoke environment, and BER changes in the opposite trend. Lastly, in order to enhance the performance of visible light communication in fire smoke environment, this paper gives the transmitting power scheme.


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## Body

## 1. Introduction

Currently, the application of visible light communication (VLC) is becoming more and more widespread. The new visible light communication technology based on LED has many advantages: it can meet high-speed communication while realizing lighting, is harmless to human eye health and does not cause radiation damage to the human body, is not easily subject to electromagnetic interference, and has good confidentiality. In addition, VLC technology also does not require radio spectrum certification, which can effectively solve the problem of spectrum limitation of radio frequency (RF) technology [1] and can also be used for indoor target localization. Therefore, this technology is playing an increasingly important role in vehicle networking, underground mines, and other fields.Although visible light communication has many advantages, it is easily affected by the atmospheric environment [2], and indoor fire smoke and outdoor fire smoke are one of the most important factors. Due to the short light wavelength and serious light scattering, the visible light communication link is easily blocked. In addition, the outdoor rain, fog, snow, and background light noise are also important factors to interfere with the visible light communication link. In order to improve the performance of visible light communication in a special environment, it is necessary to study the transmission characteristic of the visible light communication link in this environment. In 2013, Zhu et al. [3] studied the effect of smoke on free-space optical (FSO) communication and proposed that the attenuation coefficient decreases exponentially as the volume of the shell increases. In 2016, Chen et al. [4] studied the transmittance of laser at different wavelengths in smoke. In a 4.8 m flue, the transmittance of 10.6 μm laser is twice that of 1.06 μm laser when the smoke concentration is less than 1.0947 g/m3. In the same year, it was also concluded that, in a 400 m flue, the transmittance of 10.6 μm laser is up to 104 times that of 1.06 μm laser [5]. In the same year, Wang and Duan [6] proposed that, in different concentrations of smoke environment, due to the absorption of the laser beam by suspended particles, the laser is attenuated in the process of transmission. In 2019, Jiang and Song [7] proposed that the FMCW laser ranging system is attenuated and absorbed by smoke particles when measuring the echo signal in smoke environment, and this leads to the result that it is difficult to extract effective signals.However, the above literature studies mainly studied lasers with a certain wavelength, and current research related to visible light communication is less likely to consider environmental factors. There are even fewer research and reports on the communication performance of visible light in fire smoke environment. In this paper, we focus on analyzing the performance of visible light communication link in fire smoke environment and provide a theoretical basis for the application of visible light communication in this environment in the future.


## 2. Analysis of Background Light Noise

The background light noisePbg cannot be ignored in visible light communication in fire smoke environment, and the blackbody radiation model can be used to describe spectral radiance W(λ, TB) [8, 9]:(1)Wλ,TB=2πhpc2λ51ehpc/λkTB−1,where hp is Planck’s constant, c is the speed of light, λ is the wavelength, k is Boltzmann’s constant, and TB is the average surface temperature of the sun, usually taken as 6000 K.The global solar irradianceEglobal has a wavelength range between 0.3 μm and 4.0 μm, and it serves as the input for global spectral irradiance measurements. The peak spectral irradiance Speak is given by [8](2)Speak=0.0001Eglobal2+1.5768Eglobal.The global solar irradianceWapprox can be derived as [8](3)Wapproxλ=SspeakWλ,6000maxWλ,6000.The spectral range of the receiverEdet is given by [9](4)Edetλ=∫λ1λ2Wapproxλdλ,where λ1 and λ2 are the boundary values of the optical bandpass filter, and Pbg can be obtained as follows [9]:(5)Pbg=EdetT0An2,where T0 is the peak filter transmission coefficient, which can reach 1, A is the area at the receiving side, and n is the internal refractive index.Based on the measured global solar irradiance, the trend ofPbg during a day can be derived as shown in Figure 1.Figure 1
Variation of background light noise during daytime.As can be seen from Figure1, before 13:00, with the sun rising, Pbg increases from −3 dBm (7:00) to 16 dBm (13:00). After 13:00, with the sun falling, Pbg decreases to 3 dBm at 18:30, and from the above analysis, it is found that Pbg changes obviously during a day. Therefore, the influence of background light noise on the performance of visible light communication in fire smoke environment cannot be ignored, and the background light noise caused by sunlight is usually Gaussian white noise, which can be removed by using denoising.


## 3. SNR and BER of Visible Light Communication in Fire Smoke Environment

According to the Lambert–Beer law, when the transmission distance isD, the received power Pr is determined by the attenuation coefficient. The visibility (V) is obtained from Koschmieder’s law [10]:(6)V=10log10Tthβkkm,where Tth is the visual threshold, which usually takes 2%.The relationship between the attenuation coefficientβλ and V can be approximated as(7)Vkm=10log10Tthβkλλ0−q,where λ0 is the maximum spectral value in the solar band. For the visible wavelength band, it is derived that(8)βk=∫380780−10log10TthVλλ0−qdλ.The coefficientq depends on the experimental data such as the size and distribution of the particles [11]:(9)q=1.6,V>50km1.3,6km<V<50km0.16V+0.34,1km<V<6kmV−0.5,0.5km<V<1km0,V<0.5km.ThenPr can be obtained as follows:(10)Pr=ARπθ2L2Pte−βλD,where AR is the received range, θ is the beam divergence angle, D is the transmission distance, and Pt is the emitted power of the LED. βλ is the attenuation coefficient(AR = 10 cm, θ = 60°, and D = 10 m).SNR can be used as a measure of visible light communication’s performance, and SNR can be expressed as the relationship between received power and environmental noise, as follows [12]:(11)SNR=R2Pr2σshot2+σthermal2,where R is the photoresponsivity of the photodetector at the receiver, σshot2 is the scattering noise variance, and σthermal2 is the thermal noise variance.(12)σshot2=2qRPrB+2qRPbgI2B,where q is electric charge, B is noise bandwidth, and I2 is noise bandwidth current [12].(13)σthermal2=8πkTkGηAI2B2+16π2kTkΓgmη2A2I3B3,where k is the Boltzmann constant, Tk is the absolute temperature, η is the capacity per unit area, A is the area at the receiver side, Γ is the FET channel noise factor, G is the open-loop voltage gain, gm is the FET transconductance, and I3 is the bandwidth coefficient of noise as a percentage of the full ascending cosine.Using OOK optical intensity modulation, BER can be obtained as follows:(14)BER=QSNR,Qx=12π∫x∞e−y2/2dy.Select the LED with 45 mW emission power; when the background light noise is maximum, the following isPr in different visibility environment.As can be seen from Figure2, Pr increases with an increase in visibility. Pr increases from 0.0122 mW (V = 1 m) to 0.01302 mW (V = 12 m) and increases by 6.7% and finally converges to a constant value of about 0.01302 mW.Figure 2
Received power in different visibility.The literature [13] gave the smoke attenuation coefficient at different wavelengths, and we took the wavelength of 670 nm for the calculation and compared it with the measured results in that literature. Figure 3 shows the comparison between the measured and theoretically calculated values of the attenuation coefficient.Figure 3
Comparison of the measured value and the theoretical value of the attenuation coefficient.As can be seen from Figure3, the calculated value of attenuation coefficient is basically consistent with the measured value, and the relative error is about 0.07%. Here only the influence of smoke particles and background light noise factors is considered, while the complexity of the actual measurement environment is not only influenced by these two factors but also by the measured attenuation coefficient which is often larger than the theoretical attenuation coefficients. To avoid this problem, sunny weather should be chosen for the actual measurement.Figures4 and 5 show the variation of SNR and BER during a day in fire smoke environment with different visibility.Figure 4
SNR for a day in fire smoke environment with different visibility.Figure 5
BER for a day in fire smoke environment with different visibility.By analyzing Figures4 and 5, it can be seen that SNR first decreases and then increases, and BER first increases and then decreases during a day. Before 13:00, continuously SNR decreases and BER increases, and finally, SNR reaches the minimum and BER reaches the maximum during a day. After 13:00, SNR increases and BER decreases. In addition, it can be concluded that SNR increases and BER decreases with the increase of visibility.The visible light communication system can be used to adjustPt to cope with the fire smoke environment. When V is 12 m and D is 10 m, Pr is calculated to be about 0.013 mW. In order to make the receiving power reach 0.013 mW at any time, Pt can be adjusted according to the real-time visibility.As shown in Figure6, when Pr is always 0.013 mW, the power of the LED transmitter is adjusted with visibility.Figure 6
Variation of emitted power with visibility.From Figure6, it can be seen that, in fire smoke environment, when V is less than 0.02 km, the less visibility, the more Pt is required, when V is more than 0.02 km, Pt tends to a constant value and is almost no longer affected by visibility. At this time, the transmitter can adjust the value of Pt according to different visibility, so that Pr is always at 0.013 mW.


## 4. Path Loss and Power Loss in Fire Smoke Environment

Figure7 shows a simple visible light communication scene in fire smoke environment. The visible light communication link’s performance in fire smoke environment is not only affected by the background light noise but also by the absorption of smoke particles.Figure 7
Visible light communication scene in fire smoke environment.As can be seen from Figure7, the distance between the receiving side and the LED is D, the radius of the detector at the receiving side is r, the angle between the communication link and the normal of the receiving side is α, the angle of the communication link to the axis of the LED light beam is β, Ωr is the solid angle of the detector's receiving field of view, and the receiving area is A. The relationship between them satisfies the following equation [12]:(15)Acosα≈D2Ωr.In the device manual of LED, the axial light intensityI0 is usually given, and we can obtain the total luminous flux at the transmitter Fs [12]:(16)Fs=∫0ΩmaxI0gsθdΩ=∫0θmax2πgsθsinθdθ,where gsθ is the spatial distribution function of the LED lamp and Ωmax is the stereo angle of the LED beam, which is related to the maximum half-angle of the beam as follows:(17)Ωmax=2π1−cosθmax.We can get the total luminous flux at the receiving endFr [14]:(18)Fr=I0gsβΩr.The LED can be viewed as a Lambertian source, and its spatial distribution function isgsθ=cosmθ. The Lambert radiation coefficient m can be obtained by m=−ln2/lncosϕ1/2 where ϕ1/2 is the radiation half-angle of the LED, and let θmax=π/2, the path loss LL can be derived by integrating.(19)LL=FrFs=I0gsβΩrI0∫0θmax2πgsθsinθdθ=gsβAcosαD2∫0θmax2πgsθsinθdθ,LL≈m+1A2πD2cosαcosmβ.In addition, the power lossLP can be expressed as(20)Lp=SrλSsλ,where Ssλ is the power spectral density of the light source and Srλ is the power spectral density of the receiving side.According to equation (19), it can be derived that(21)F=683⋅∫380nm780nmSλVλdλ.It is known that when the visual acuity function is consistent,Lp=LL.LED parameter tables usually giveFs or I0 of LED, gsθ, and the normalized power spectral density Ss′λ. When FS and I0 are interchangeable, SSλ can be found from Ssλ=CSs′λ, where C is the conversion factor, which can be derived from equation (16) [14]:(22)C=Fs683×∫λsLλsHSs′λVλdλ,where λsL and λsH are two endpoint values of the wavelength range of the visible band, respectively, and Srλ can be obtained by the following formula:(23)Srλ=LpSsλ=CLpSs′λ.An optical filter with the spectral response ofRfλ is added to the photodetector, and Pr is expressed as follows:(24)Pr=∫λrLλrHSrλRfλdλ,where λrL and λrH are two end values of the optical filter [14].The normalized radiation power spectral density waveforms and visible light filter waveforms are shown in Figures8 and 9.Figure 8
Normalized power spectral density of LEDs.Figure 9
Visible light filter.As can be seen from Figure8, there are two peaks in the normalized radiation power spectrum density of the LED, which are distributed at 450 nm and 560 nm. LED is a white LED with yellow phosphor on a blue substrate, blue LED itself does not have a very high luminous flux, but after adding the yellow phosphor, the excitation energy is 8 times higher than the original. So this LED is more suitable for visible light communication. As can be seen from Figure 9, the filter has a filter range of 380 nm–780 nm, which only allows all wavelengths of visible light to pass through, effectively filtering out the nonvisible band of the spectrum.β is calculated to be constantly changing, when background light noise is maximum, and Figure 10 shows the relationship between Pr and β in fire smoke environment.Figure 10
Variation of received optical power with angleβ.As can be seen from Figure10, Pr is gradually decreasing with the increase in β. When the LED beam axis coincides with the communication link, Pr can reach its maximum. So in order to improve the communication efficiency of the visible light communication system, it should try to make the LED light axis coincide with the communication link.


## 5. Conclusion

This paper investigates the factors that affect the performance of visible light communication in fire smoke environment. By analyzing the change rule of background light noise during a day, the changing relationship between SNR/BER and visibility during a day and the influence ofβ was obtained. It is concluded that, with the enhancement of external light, SNR keeps decreasing, BER keeps increasing, and the communication performance decreases. In addition, the received power decreases with the increase in β.Through the above study, it is concluded that the effects of fire smoke and background light noise on visible light communication performance cannot be ignored, and it is crucial to improve the performance of LED transmitting equipment and the performance of photoelectric detection equipment at the receiving side. For the transmitter side, the paper gives the corresponding transmitting power according to different visibility, and the adjustment scheme can be applied in the actual fire smoke environment. For the receiver side, in practical applications, the filter can reduce the effect of background light noise by increasing the modulation frequency. Meanwhile,β should be minimized. In the next research work, the above scheme will be applied in practice, and in the complex fire environment, the automatic power regulation device is used to verify the above scheme.Table1 shows the parameters used in this paper.Table 1
Parameter table.
ParameterNumericalPt45 mWA1 cm2I01100 cdN1.5R0.53 A/WTk298°CG10gm30 msΓ1.5Η112 pf/cm2I20.562 AI30.0868 AB2 MHz



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*Source: 1481969-2021-05-26.xml*