CN109951229B - Method for jointly transmitting information and energy in visible light communication system - Google Patents
Method for jointly transmitting information and energy in visible light communication system Download PDFInfo
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Abstract
The embodiment of the application discloses a method for jointly transmitting information and energy in a visible light communication system, which comprises the steps of establishing a point-to-point S L IPT V L C system, converting a point-to-point transmission signal into visible light through a light emitting diode by a point-to-point transmitting end and transmitting the visible light to a point-to-point receiving end, and carrying out point-to-point information receiving on the visible light through a photodiode or carrying out point-to-point energy collection through a solar cell panel by the point-to-point receiving end.
Description
Technical Field
The present application relates to the field of visible light communication, and in particular, to a method for information and energy co-transmission (S L IPT) in a visible light communication (V L C) system.
Background
The explosive increase of wireless devices and the increasing demand for high-speed data services put great pressure on conventional wireless Communication networks, including but not limited to radio frequency spectrum (RF) crisis and rapid depletion of batteries, to solve this problem, the technology of visible light Communication (V L C) system with information and energy co-transmission (S L IPT) has become a promising technology for indoor wireless networks with its huge unlicensed spectrum, no electromagnetic interference, good intrinsic safety, etc. from the application point of view, the V L C system, i.e. S L V5C system, which employs S L0 IPT technology, has the advantage of providing illumination, information transmission and energy collection simultaneously, and more particularly the transmitting end of the S L V L C system employs a low-cost light emitting diode (IoT) V L V5C system, which may operate in coordination with a variety of light emitting diodes (edt) for light collection under the Internet shopping environment, light receiving station, Internet access to light receiving terminals (e.g. Internet access, etc. the receiving end of light receiving terminals of light diodes (edv) may operate under the light diodes 36L, IPT 3C) for receiving the light receiving station.
In a first aspect, a solar panel is used for synchronous information reception and energy collection, and an optical wireless communication system is designed that provides a direct current model and an alternating current model of the solar panel, and an energy harvesting V L C system under different lighting conditions is proposed using a DC-offset, field-of-view (FOV) and energy harvesting time, and an S L IPT strategy is proposed to analyze the balance between the collected energy and quality of service (QoS).
Although the signal processing of S L IPT in the radio frequency communication system is widely analyzed, the result cannot be directly applied to the S L IPT V L C system due to its obvious characteristics, one of the main limiting factors is that the average optical power and the peak optical power of the V L C system must guarantee actual illumination at reasonable energy consumption, furthermore, the signal of the V L C system is a non-negative real signal through intensity modulation and direct detection modulation techniques, the capacity realization distribution of the V L C channel is discrete on a limited set of points, while the real capacity is not a closed expression, furthermore, the throughput performance of the V L C system cannot be accurately evaluated by the classical radio frequency Shannon (Shannon) capacity with gaussian input distribution, therefore, the prior art adopts the lower bound of the V L C channel capacity considering only the constraint of the average optical power, and in general, the research on the S L IPT V L C system is well discussed, and three key performance indexes, namely illumination, information transmission and collection, and energy collection, cannot be analyzed at the same time.
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disclosure of Invention
The application provides a method for jointly transmitting information and energy in a visible light communication system, which aims to solve the problem that the prior art cannot simultaneously analyze three key performance indexes of an S L IPT V L C system, namely illumination, information transmission and energy collection.
In a first aspect, the present application provides a method for information and energy co-transmission in a visible light communication system, including:
the point-to-point receiving end receives the point-to-point information of the visible light through a photodiode, or collects the point-to-point energy of the visible light through a solar cell panel;
the step 1 comprises the following steps:
step 1.1: calculating the point-to-point transmission signal x:
the point-to-point transmission signal x is:
where g is the power gain of the power amplifier, IDIs a direct current bias;
the power gain g of the power amplifier should satisfy:
luminous flux phi of the light emitting diodeOTComprises the following steps:
ΦOT=354.286x+27, (4)
step 1.2, analyzing the illumination control of the point-to-point S L IPT V L C system according to the point-to-point transmission signal x:
illumination control of the point-to-point S L IPT V L C, namely illumination level tau and average light power of the point-to-point S L IPT V L C systemAnd maximum optical power PTThe relationship between:
0<τ≤1;
average optical power of the point-to-point S L IPT V L C system according to equation (1)Is biased by said direct currentDDetermine, i.e. that
The power gain g of the power amplifier satisfies:
Step 1.3.1: analyzing a point-to-point information receiving module of the point-to-point receiving end:
l oS link gain h between the light emitting diode and the photodiode1Comprises the following steps:
wherein the content of the first and second substances,is a Lambert index,. phi1/2Is the half power half angle of the LED, d1Is the distance between the light emitting diode and the photodiode, APDDenotes the detector area of the photodiode, phi1The exit angle of the led to the photodiode,is the angle of incidence of the LED to the photodiode, Ψ1Represents the half field angle of the photodiode;
the received signal y is:
y=h1x+z, (9)
wherein z represents a variance σ2Zero mean gaussian noise of (d);
achievable rate RSISOComprises the following steps:
where α and gamma are parameters determined by A and sigma2Variance of zero mean gaussian noise;
where α and γ are solutions of the following equations:
T(A)-T(-A)=e1+α, (12a)
β(eA(β-γA)-e-A(β+γA)-e1+α)=0, (12b)
eA(β-γA)((β-2γA)e-2Aβ-β-2γA) +(β2+2γ)e1+α=4γ2e1+α, (12c)
step 1.3.2: analyzing a point-to-point energy collection module of the point-to-point receiving end:
channel gain h between light emitting diode and solar panel2:
Wherein A issRepresenting the detector area of the solar panel, d2Is the distance between the light emitting diode and the solar cell panel, phi2The exit angle of the leds to the solar panel,is the incident angle of the LED to the solar panel, psi2Representing a half field angle of the solar panel;
luminous flux phi received by solar cell panelOR:
ΦOR=h2ΦOT(14)
The received solar panel illumination E is:
wherein the content of the first and second substances,is the relative spectral energy density of the light emitting diode, λ is the wavelength of light, as a function of standard luminosity, EaIndicating the illuminance (W/m) of ambient light2);
Output voltage U and open circuit voltage U by using partial open circuit voltage FOCV method and maximum power point MPP tracking methodocThe approximation is:
U=ηUoc, (16)
wherein η is a coefficient, η∈ [0.71,0.78 ];
according to the MPP tracking method, the output current I of the solar cell panel is as follows:
wherein, IphIs a photo-generated current, Is0To saturate dark current, c1Is the solar panel coefficient, RsIs an equivalent series resistance, RshIs equivalent to parallel resistance, and solar cell panel coefficientqeIs an electronic charge, k is the Boltzmann constant, JfIs the ideal factor of a diode, TaIs ambient temperature;
according to the equivalent circuit model, the output current I of the solar cell panel is approximately as follows:
when the circuit is open, namely the output current I of the solar cell panel is equal to 0, there are:
the photo-generated current IphWith the received solar panel illuminance E and the ambient temperature TaIn proportion:
wherein, Isc,stcIs short-circuit current in standard test condition, i.e. illuminance E in standard test conditionstc=1000W/m2Ambient temperature T under Standard test conditionsa,stcShort-circuit current at 298K, αstcIs the short circuit current temperature coefficient;
the open circuit voltage U obtained by substituting formula (20) for formula (19b)ocIs composed of
the saturated dark current I in formula (17)s0Dependent on the ambient temperature Ta:
Wherein, Is0,stcIs dark saturation current under standard test condition, coefficientEg,stc1.12eV is the band gap of the material in the standard test state;
when the circuit is short-circuited, i.e. the output voltage U equals 0, there is
Iph=Isc, (23)
Wherein, IscIs a short circuit current;
according to the formula (18), the dark saturation current I in the standard test state can be obtaineds0,stc:
Wherein, Uoc,stcIs the open circuit voltage under the standard test state;
obtaining the output power P of the solar cell panelsolarAs a function of the power gain g for the power amplifier:
energy Q collected by the solar panel at the time delta tsolar(Δt):
Qsolar(Δt)=PsolarΔt (26)
Step 1.4, calculating an illumination-speed-energy area of the point-to-point S L IPT V L C system:
power gain g of the power amplifier and the DC offset IDSatisfies the following conditions:
by combining formula (2), formula (7) and formula (27), it is possible to obtain:
introducing illumination-information-energy region CI-R-EThe illumination-information-energy region CI-R-EThe illumination level tau and the achievable rate R under the constraint condition of given emission powerSISOAnd collected energy QsolarComposition of said illumination-information-energy region CI-R-EThe expression of (a) is:
with reference to the first aspect, in an implementation manner, the step 2 includes:
when N LEDs send data and energy to K users at the same time, order skRepresenting the N LEDs to the kData symbols of users, wherek|≤Ak,AkAndkrespectively the amplitude peak value and the variance of the kth data symbol;
the many-to-many transmission signal x is:
wherein K is the total number of users,for data symbols skBeamforming vector of 1NA vector in which all the elements of dimension N × 1 are 1;
wherein N is the number of light emitting diodes;
the beamforming vector gkSatisfies the following conditions:
wherein e isnIs a base vector;
luminous flux phi of nth LEDn,OTComprises the following steps:
wherein, gk,nIs the power gain between the nth led and the kth user.
With reference to the first aspect, in an implementation manner, step 2, establishing a many-to-many S L IPT V L C network according to the point-to-point S L IPT V L C system, where the many-to-many S L IPT V L C network includes a many-to-many transmitting end and a many-to-many receiving end, and the many-to-many transmitting end converts many-to-many transmission signals into visible light through two or more light emitting diodes and sends the visible light to the many-to-many receiving end;
the many-to-many receiving end receives many-to-many information of the visible light through more than two photodiodes or collects many-to-many energy of the visible light through more than two solar panels.
The step 2 comprises a step 2.1 of analyzing the illumination control of the many-to-many S L IPT V L C network according to the many-to-many transmission signal x of the many-to-many S L IPT V L C network:
the beamforming vector gkSatisfies the following conditions:
wherein, IHMaximum allowable current for the light emitting diode;
illumination control of the many-to-many S L IPT V L C network, i.e. the illumination level τ, average light power of the many-to-many S L IPT V L C networkAnd said maximum optical power PTThe relationship between:
with reference to the first aspect, in an implementation manner, the step 2 includes: step 2.2: analyzing a many-to-many information receiving module of the many-to-many receiving end:
signal y received at the kth user1,kComprises the following steps:
wherein, giBeamforming vector, s, for the ith useriFor data symbols sent to the ith user, h1,k,nFor channel gain from the nth LED to the kth user photodiode, h1,k=[h1,k,1,...,h1,k,N]TRepresenting the channel vector between the LED and the user k, zkIs zero mean and variance is σ2Additive gaussian noise of (a);
wherein the parameter αiAnd gammaiFrom AiAndidetermination of AiAndirespectively the amplitude peak value and the variance of the ith data symbol;
the lower bound of equation (38) is obtained by the following distribution:
wherein, αi,βiAnd gammaiIs a solution of the following equation:
with reference to the first aspect, in an implementation manner, the step 2 includes: step 2.3: analyzing a many-to-many energy collection module of the many-to-many receiving end:
illuminance E received at the k-th userkComprises the following steps:
wherein h is2,k,nRepresenting the channel gain from the nth led to the kth customer solar panel, is the relative spectral energy density of the light emitting diode, λ is the wavelength of light, as a function of standard luminosity, EaIndicating the illuminance (W/m) of ambient light2),Φn,OTLuminous flux of the nth light emitting diode;
at the kth user, the solar panel outputs a voltage UkComprises the following steps:
Uk=ηUk,oc, (42)
wherein, Uk,ocIs the open circuit voltage of the solar panel at the kth user;
wherein the content of the first and second substances,Ik,sc,stcfor short circuit current in the kth solar panel standard test condition, αk,stcShort-circuit current temperature coefficient for kth solar panel, Ek,stcFor the illumination received by the kth user under standard test conditions, Ik,s0Saturated dark current for the kth user;
output current I of kth solar cell panelk:
wherein the content of the first and second substances,k is the total number of users, h2,k=[h2,k,1,...,h2,k,N]TRepresenting the channel vector between the led and the kth solar panel,
the invention analyzes the signal flow of a point-to-point S L IPT V L C system to describe three main performance indexes of illumination, information transmission and energy collection, and researches a signal processing method on a point-to-point transmitting end.Next, the invention estimates the average illumination level based on illumination control, also deduces the relation between the output voltage and current of a Power Amplifier (PA) of the point-to-point transmitting end and a solar panel, and quantifies the energy collected by the point-to-point receiving end, then, the invention obtains an illumination-rate-energy area of the point-to-point S L0 IPT V L C system, realizes the common transmission of the information and the energy in a point-to-point S L IPT V L C system, finally, researches the downlink broadcast transmission of a multi-to-multi S L IPT V4C network, and deduces the common transmission of the illumination, the information transmission and the energy collection of the multi-to-multi S L IPT V L C network with an explicit expression, and realizes the common transmission of the multi-to-multi-S L IPT V L C network.
Drawings
FIG. 1 is a schematic flow chart of a method according to an embodiment of the present application;
FIG. 2 is a schematic diagram of a point-to-point transmitting end in a point-to-point S L IPT V L C system according to an embodiment of the present application;
fig. 3 is a schematic diagram of a receiving end in a conventional visible light communication system;
fig. 4 is a schematic diagram of a point-to-point receiving end in a point-to-point S L IPT V L C system according to an embodiment of the present application;
FIG. 5 is a schematic diagram of a basic equivalent circuit of a solar panel according to an embodiment of the present disclosure;
fig. 6 is a schematic diagram of a downlink unicast transmission of a many-to-many S L IPT V L C network according to an embodiment of the present application;
FIG. 7a shows the energy Q collected by the solar panel according to the embodiment of the present applicationsolarAnd lower achievable rate limitFollowing DC offset IDA graph of the variation;
FIG. 7b isEnergy Q collected by solar cell panelsolarAnd lower achievable rate limitA curve diagram varying with the power gain g of the power amplifier;
FIG. 8a shows an embodiment of the present applicationAnd total transmission power in three cases of 1.5bits/sec/HzThe curve diagram of the change with the number N of the light-emitting diodes;
FIG. 8b shows the electric power of the embodiment of the present applicationRate dependent thresholdA graph of the variation;
FIG. 8c shows an embodiment of the present applicationAnd 6bits/sec/Hz electric powerAlong with energy collection thresholdSchematic diagram of the variation curve of (1);
Detailed Description
The invention discloses a method for jointly transmitting information and energy in a visible light communication system.
Referring to fig. 1, a schematic flowchart of a method for jointly transmitting information and energy in a visible light communication system provided in this embodiment is shown, including the following steps:
the point-to-point receiving end receives point-to-point information of the visible light through a photodiode, or collects point-to-point energy of the visible light through a solar cell panel; i.e. the point-to-point transmitting end has only one light emitting diode, the point-to-point transmission signal can be sent to a point-to-point receiving end in a time period.
the many-to-many receiving end receives many-to-many information through more than two photodiodes or collects many-to-many energy through more than two solar panels. Namely, the many-to-many transmitting terminal is provided with a plurality of light emitting diodes, and can send many-to-many transmission signals to the many-to-many receiving terminal.
Specifically, the invention studies a point-to-point S L IPT V L C system with a light emitting diode at the transmission end, as shown in FIG. 2. at the point-to-point transmission end, the signal is modulated into a digital signal by a modulator, then the digital signal is converted into an analog form by a digital-to-analog converter, amplified by a power amplifier, and then the signal passes through a bias device after passing through the power amplifier and is added with direct current of a light emitting diode source.
where g is the power gain of the power amplifier, IDIs a dc bias. Since the point-to-point transmission signal x is non-negative, i.e.So g should satisfy:
the average electrical power of the point-to-point transmission signal x is:
in addition, the luminous flux Φ of the light-emitting diodeOTIs [2 ]]:ΦOT=354.286x+27, (4)
The step 1 comprises the step 1.2 of analyzing the illumination control of the point-to-point S L IPT V L C system according to the point-to-point transmission signal x, wherein the illumination control is one of the basic requirements of the V L C system and meets the actual illumination requirement by adjusting the average light power, let tau denote the illumination level,representing the average optical power. The values of tau are,and PTThe relationship between:
wherein P isTIs the maximum optical power, therefore 0 < tau.ltoreq.1. Further, according to the formula (1), the average optical powerBiased by DCDDetermining, namely:
Considering eye safety and maximum allowable current of LED 3]-[5]Is provided with IHThe maximum allowable current for the led, that is,therefore, the power gain g of the power amplifier satisfies:
thus, the point-to-point transmitting end can control the power gain g to meet lighting and safety requirements. The signal emitted by the light emitting diode is in the form of light waves and is uniformly distributed in space. The light waves are transmitted to the point-to-point receiving end through the optical channel, and the light waves can be captured by a photodiode or a solar panel at the point-to-point receiving end. As shown in fig. 3, the receiving end in the prior art uses a photodiode or a solar panel to receive signals, and uses a power splitting technique to obtain separate signals, one part is used for information decoding, and the other part is used for energy collection. However, the photodiode and the solar panel have respective advantages in different tasks, and thus the present invention adopts a combined structure, i.e., one photodiode for information reception and one solar panel for energy collection, as shown in fig. 4.
WhereinIs a Lambert index; phi is a1/2Is the half power half angle of the light emitting diode; d1Is the distance between the light emitting diode and the photodiode; a. thePDRepresents the detector area of the photodiode; phi is a1Andthe exit angle and the incident angle from the light emitting diode to the photodiode, respectively; Ψ1Represents half of the field-of-view (FOV) of the photodiode, i.e., the half field angle of the photodiode.
In the information receiving module, the photodiode converts light emitted from the light emitting diode into an analog signal, and then the analog-to-digital converter samples the analog signal into a digital form. It is assumed that the non-linearity of the light emitting diode is mitigated by using pre-distortion and post-distortion techniques. In general, the received signal y can be expressed as:
y=h1x+z, (9)
wherein z represents a variance σ2Zero mean gaussian noise.
The channel capacity of the V L C channel is unknown and the present invention employs [10 ]]In a practical mannerRate expressions for analysis of S L IPT V L C System RSISORepresenting the achievable rate:
where α and gamma are determined by A and R is the achievable rateSISOR of (A) to (B)SISOThe lower bound is obtained by the following distribution [10 ]]:
Where α and γ are solutions of the following equations:
T(A)-T(-A)=e1+α, (12a)
β(eA(β-γA)-e-A(β+γA)-e1+α)=0, (12b)
eA(β-γA)((β-2γA)e-2Aβ-β-2γA) +(β2+2γ)e1+α=4γ2e1+α, (12c)
wherein the content of the first and second substances,the invention usesTo represent R in the formula (10)SISOThe lower bound of (c).
wherein A issRepresenting the detector area of the solar panel, d2Is the distance between the light emitting diode and the solar cell panel, phi2The exit angle of the leds to the solar panel,is the incident angle of the LED to the solar panel, psi2Representing the half field angle of the solar panel.
Luminous flux phi received by solar cell panelORFrom [11 ]]The following can be obtained:
ΦOR=h2ΦOT(14)
since the background light and the led light are usually incoherent, the received solar panel illumination is:
whereinRelative spectral energy density for light emitting diodes [2 ]]And lambda is the wavelength of the light wave, as a function of standard luminosity [12 ]];EaIndicating the illuminance (W/m) of ambient light2)。
The basic equivalent circuit of a solar panel is shown in fig. 5. Since the solar panel generally has a certain nonlinear volt-ampere characteristic, a Maximum Power Point (MPP) tracking technique is generally used to analyze the output power. There are multiple MPP tracking methods [13]-[16]The present invention employs a fractional open-circuit voltage (FOCV) method that is widely used in small solar panel systems [15 ]],[16]. Output voltage U and open circuit voltage U using FOCV method and MPP tracking methodocCan be approximated as [16 ]]:
U=ηUoc, (16)
η∈ [0.71,0.78] is a coefficient, according to the equivalent circuit model, the output current I of the solar panel is [17], [18 ]:
wherein, IphIs a photo-generated current, Is0To saturate dark current, c1Is the solar panel coefficient, RsIs an equivalent series resistance, RshIs equivalent to parallel resistance, and solar cell panel coefficientqeIs an electronic charge, k is the Boltzmann constant, JfIs the ideal factor of a diode, TaIs ambient temperature.
Under indoor conditions, the output current I and the series resistance RsValues of (d) are typically at milliampere and milliohm levels, respectively [19 ]]、[20]. Output voltage U is not more than 10 volts, and parallel resistor RshNot less than 1 kiloohm [19 ]]、[20]. Thus, in formula (17)The term can be ignored, and Rsh>>RsSo the output current I can be approximated as:
when the circuit is open, i.e. I is 0, there are:
in addition, the photo-generated current IphWith illuminance E and ambient temperature TaProportional ratio [17]、[22]:
Wherein Isc,stcIs in a Standard Test Condition (STC), i.e., the illuminance is Estc=1000W/m2(ii) a Ambient temperature Ta,stcShort-circuit current at 298K, αstcIs the short circuit current temperature coefficient.
Open circuit voltage U obtained by substituting formula (20) for formula (19b)ocComprises the following steps:
The saturated dark current in equation (17) depends on the ambient temperature Ta[17],[22]:
when the circuit is short-circuited, i.e. U is 0, there are:
Iph=Isc, (23)
according to formula (18), can be obtained Is0,stc:
Wherein, Uoc,stcIs the open circuit voltage under standard test conditions.
And finally, obtaining a function of the output power of the solar panel as the power gain g of the power amplifier:
therefore, the invention can obtain the energy collected by the solar panel at the time delta t:
Qsolar(Δt)=PsolarΔt (26)
the present invention has thus far obtained explicit expressions of the rate and harvested energy as a function of the power gain g of the power amplifier, given in equations (10) and (25), respectively, under practical circuit considerations, the electrical power of the V L C signal is also limited. Thus, the power gains g and I of the power amplifierDSatisfies the following conditions:
By combining formula (2), formula (7) and formula (27), it is possible to obtain:
finally, the invention introduces an illumination-information-energy region bounded by an illumination level τ and an achievable rate R for a given emission powerSISOAnd collected energy QsolarComposition, illumination-information-energy region CI-R-EThe expression of (a) is:
in step 2, the many-to-many transmitting terminal is configured with a plurality of light emitting diodes, and can transmit many-to-many transmission signals to a many-to-many receiving terminal, wherein each receiving module in the many-to-many receiving terminal represents one user. As shown in fig. 6, N leds transmit data and power to K users simultaneously. Let skData symbols representing N LEDs to a kth user, where | sk|≤Ak,AkAndkrespectively, the amplitude peak and the variance of the kth data symbol. Order toRepresenting a data symbol skThe many-to-many transmission signal x is:
wherein K is the total number of users, gkFor data symbols skBeamforming vector of 1NA vector with N × 1 dimensional elements all being 1.
The average electrical power of the many-to-many transmission signal x is:
wherein N is the number of light emitting diodes. Ensuring non-negativity of many-to-many transmitted signals x, beamforming vectors gkSatisfies the following conditions:
wherein e isnIs a base vector; in addition, the luminous flux of the nth light emitting diode is:
wherein, gk,nIs the power gain between the nth led and the kth user.
wherein, IHFor maximum allowance of light-emitting diodesThe average optical power of a many-to-many S L IPT V L C network is:
illumination control of many-to-many S L IPT V L C networks, i.e. illumination level τ, average light power of many-to-many S L IPT V L C networksAnd maximum optical power PTThe relationship between:
similar to formula (8), let h1,k,nFor channel gain from the nth LED to the kth user photodiode, let h1,k=[h1,k,1,...,h1,k,N]TRepresenting the channel vector between the led light source and user k, the signal y received at the kth user1,kComprises the following steps:
wherein, giBeamforming vector, s, for the ith useriFor data symbols sent to the ith user, zkIs zero mean and variance is σ2Additive gaussian noise.
wherein the parameter αiAnd gammaiFrom AiAndidetermination of AiAndirespectively, the amplitude peak and the variance of the ith data symbol. The lower bound of formula (38) is obtained by the following distribution [10]:
Wherein, αi,βiAnd gammaiIs a solution of the following equation:
similar to formula (13), let h2,k,nChannel gain of nth led to kth customer solar panel. At the kth user, the received illuminance EkComprises the following steps:
wherein the content of the first and second substances, is the relative spectral energy density of the light emitting diode, λ is the wavelength of light, as a function of standard luminosity, EaIndicating the illuminance (W/m) of ambient light2),Φn,OTIs the luminous flux of the nth light emitting diode.
At the kth user, the solar panel outputs a voltage UkComprises the following steps:
Uk=ηUk,oc, (42)
wherein, Uk,ocTo the kth user, the open circuit voltage of the solar panel, i.e.:
whereinIk,sc,stcFor short circuit current in the kth solar panel standard test condition, αk,stcShort-circuit current temperature coefficient for kth solar panel, Ek,stcFor the illumination received by the kth user under standard test conditions, Ik,s0Is the saturated dark current for the kth user.
Meanwhile, the output current I of the kth solar cell panelk:
wherein the content of the first and second substances,h2,k=[h2,k,1,...,h2,k,N]Trepresenting the channel vector between the led and the kth solar panel,
the invention discloses a method for solving a design problem of a many-to-many S L IPT V L C network based on a method for jointly transmitting information and energy in a visible light communication system, which comprises the following steps of 3, researching two typical S L IPT V L C system design problems, namely a total transmission power minimization problem and a minimum rate maximization problem, on the basis of analyzing a many-to-many S L IPT V L C network, wherein the step 3 comprises the step 3.1 of utilizing an explicit reachable rate expression (38) and an energy collection expression (45C) so as to minimize the total transmission power and simultaneously meet the rate requirement, the minimum energy collection requirement and an illumination control constraint, and mathematically, the total transmission power minimization problem of the many-to-many S L IPT V L C network can be expressed as:
NID=τPT, (46e)
wherein r iskFor the speed requirement of the kth user, vkThe collected energy requirement for the kth user.
Substituting equation (46e) for equation (46d), the problem (46) can be equivalently restated as:
this is a non-convex problem due to the rate constraint (47b) and the energy harvesting constraint (47 c).
To solve the problem (47), the present invention first introduces the following new definition:
according to definition (48), the question (47) can be rewritten into the compact form:
whereinTo handle the non-convex constraints (49b) and (49c), the present invention employs SDR techniques. Specifically by using the following attributes:
and ignoring the non-convex rank constraint rank (g) 1, the problem (49) relaxes to:
definition ofIs the optimal solution of the problem (51) ifObtaining (51) optimal beamforming vectors for the problem by eigenvalue decompositionIf it isRandomizing Gauss Process [23 ]]ForObtain a feasible solution to the problem (51)
NID=τPT(52d)
wherein v iskFor the energy harvesting requirement of the kth user,is the maximum total transmission power.
Substituting (52d) into (52c) and introducing auxiliary variableThe problem (52) can be equivalently restated as:
this is a non-convex problem due to the rate constraint (53b) and the energy harvesting constraint (53 c).
According to definition (48), the question (53) can be rewritten to a concise form:
to handle the non-convex constraints (54b) and (54c), the present invention employs SDR techniques. Specifically, ignoring the non-convex rank constraint rank (g) 1, the problem (54) may be relaxed as:
due to variables in the constraint (55b)This problem remains non-convex. However, for a givenThe problem (55) is convex. Thus, the problem (55) is a pseudo-convex optimization problem whose global optimal solution can be searched with a simple dichotomy. In particular, for a givenThe problem (55) can be summarized as the SDP feasibility sub-problem sequence:
findG (56a)
Table 1 algorithm 1: dichotomy
And 4, step 4: and (5) simulation results. Some numerical results are given to analyze the impact of key factors on system performance. Assume that the peak amplitude and variance of the input data s are a 2 and 1, respectively. The parameters of the light-emitting diode, the photodiode and the solar panel are shown in a table 2, the parameters are quoted from [1], [24], and the circuit architecture of the solar panel adopts [25] - [27 ]. The photovoltaic module adopts a monocrystalline silicon solar cell. The power spectral density of additive noise is-98.82 dBm.
TABLE 2 LED, photodiode and solar Panel parameters
Half power half angle of light emitting diode | φ1/2 | 60° |
Half field angle of photodiode | Ψ1 | 60° |
Half field angle of solar cell panel | Ψ2 | 60° |
Detector area of photodiode | APD | 1cm2 |
Detector area of solar panel | As | 10cm2 |
Variance of zero mean gaussian noise | σ2 | -98.82dBm |
Maximum optical power | PT | 50w |
Level of illumination | τ | 0.9 |
Short circuit current under standard test conditions | Isc,stc | 200mA |
Open circuit voltage under standard test conditions | Uoc,stc | 5V |
As shown in FIG. 7b, as the power gain g of the power amplifier increases, the energy Q collected by the solar panel increasessolarIncreased, lower bound on achievable rateA fast increase followed by a slow increase indicates that increasing the power gain g of the power amplifier is an efficient energy transfer, not an efficient liftingHigh transmission speed.
TABLE 3 positions of photodiodes, LEDs and solar panels
Position of | Position of | ||
PD1 | (5.1,6.0,1.5) | PD2 | (5.1,4.0,1.5) |
Sloar1 | (5.0,5.1,1.5) | Sloar2 | (5.0,4.9,1.5) |
LED1 | (4.9,4.9,3.0) | LED2 | (4.9,5.0,3.0) |
LED3 | (4.9,5.1,3.0) | LED4 | (5.0,4.9,3.0) |
LED5 | (5.0,5.0,3.0) | LED6 | (5.0,5.1,3.0) |
LED7 | (5.1,4.9,3.0) | LED8 | (5.1,5.0,3.0) |
LED9 | (5.1,5.1,3.0) |
In FIG. 8aK2, it can be seen that the total power in the three cases decreases as the number N of leds increases. In addition to this, the present invention is,the higher the value, the more demanding the transmission powerIs large. In FIG. 8b, it can be seen that the electrical power, with or without harvesting energy constraintsAll following the rate thresholdThe increase is monotonically increasing. ComparisonAndin both cases, the higher the energy collection threshold, the greater the transmission power consumption. In FIG. 8c, the electric power is knownAlong with energy collection thresholdThe increase in (c) is logarithmic. At the same time, the rate thresholdThe higher the required transmission power. In FIG. 9, the lower limit of the maximum rate is knownWith energy collection thresholdIs increased and decreased. Finally, by comparing the power budgetsIn this case, it can be seen that the higher the transmission power budget is, the lower the maximum rate limit isThe larger.
The invention further deduces the explicit expressions of information transmission and energy collection of a plurality of pairs of S L IPTV L C networks, and researches the design of a beam former for the problem of minimization of total transmission power and the problem of lower limit of maximized rate respectively.
In specific implementation, the present application further provides a computer storage medium, where the computer storage medium may store a program, and the program may include some or all of the steps in the embodiments of the method for jointly transmitting information and energy in a visible light communication system provided by the present application when executed. The storage medium may be a magnetic disk, an optical disk, a read-only memory (ROM) or a Random Access Memory (RAM).
Those skilled in the art will clearly understand that the techniques in the embodiments of the present application may be implemented by way of software plus a required general hardware platform. Based on such understanding, the technical solutions in the embodiments of the present application may be essentially implemented or a part contributing to the prior art may be embodied in the form of a software product, which may be stored in a storage medium, such as a ROM/RAM, a magnetic disk, an optical disk, etc., and includes several instructions for enabling a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the embodiments or some parts of the embodiments of the present application. The same and similar parts in the various embodiments in this specification may be referred to each other.
The above-described embodiments of the present application do not limit the scope of the present application.
Claims (5)
1. A method for co-transmitting information and energy in a visible light communication system, comprising:
step 1, establishing a visible light communication S L IPT V L C system for transmitting point-to-point information and energy together, wherein the point-to-point S L IPT V L C system comprises a point-to-point transmitting end and a point-to-point receiving end, and the point-to-point transmitting end converts a point-to-point transmission signal into visible light through a light emitting diode and sends the visible light to the point-to-point receiving end;
the point-to-point receiving end receives the point-to-point information of the visible light through a photodiode, or collects the point-to-point energy of the visible light through a solar cell panel;
the step 1 comprises the following steps:
step 1.1: calculating the point-to-point transmission signal x:
the point-to-point transmission signal x is:
where g is the power gain of the power amplifier, IDIs a direct current bias;
the power gain g of the power amplifier should satisfy:
luminous flux phi of the light emitting diodeOTComprises the following steps:
ΦOT=354.286x+27, (4)
step 1.2, analyzing the illumination control of the point-to-point S L IPT V L C system according to the point-to-point transmission signal x:
illumination control of the point-to-point S L IPT V L C, namely illumination level tau and average light power of the point-to-point S L IPT V L C systemAnd maximum optical power PTThe relationship between:
0<τ≤1;
average optical power of the point-to-point S L IPT V L C system according to equation (1)Is biased by said direct currentDDetermine, i.e. that
The power gain g of the power amplifier satisfies:
Step 1.3.1: analyzing a point-to-point information receiving module of the point-to-point receiving end:
l oS link gain h between the light emitting diode and the photodiode1Comprises the following steps:
wherein the content of the first and second substances,is a Lambert index,. phi1/2Is the half power half angle of the LED, d1Is the distance between the light emitting diode and the photodiode, APDDenotes the detector area of the photodiode, phi1The exit angle of the led to the photodiode,is the angle of incidence of the LED to the photodiode, Ψ1Represents the half field angle of the photodiode;
the received signal y is:
y=h1x+z, (9)
wherein z represents a variance σ2Zero mean gaussian noise of (d);
achievable rate RSISOComprises the following steps:
where α and gamma are parameters determined by A and sigma2Variance of zero mean gaussian noise;
Where α and γ are solutions of the following equations:
T(A)-T(-A)=e1+α, (12a)
β(eA(β-γA)-e-A(β+γA)-e1+α)=0, (12b)
eA(β-γA)((β-2γA)e-2Aβ-β-2γA)+(β2+2γ)e1+α=4γ2e1+α, (12c)
step 1.3.2: analyzing a point-to-point energy collection module of the point-to-point receiving end:
channel gain h between light emitting diode and solar panel2:
Wherein A issRepresenting the detector area of the solar panel, d2Is the distance between the light emitting diode and the solar cell panel, phi2The exit angle of the leds to the solar panel,is the incident angle of the LED to the solar panel, psi2Representing a half field angle of the solar panel;
luminous flux phi received by solar cell panelOR:
ΦOR=h2ΦOT(14)
The received solar panel illumination E is:
wherein the content of the first and second substances,is the relative spectral energy density of the light emitting diode, λ is the wavelength of light, as a function of standard luminosity, EaIndicating the illuminance (W/m) of ambient light2);
Output voltage U and open circuit voltage U by using partial open circuit voltage FOCV method and maximum power point MPP tracking methodocThe approximation is:
U=ηUoc, (16)
wherein η is a coefficient, η∈ [0.71,0.78 ];
according to the equivalent circuit model, the output current I of the solar cell panel is as follows:
wherein, IphIs a photo-generated current, Is0To saturate dark current, c1Is the solar panel coefficient, RsIs an equivalent series resistance, RshIs equivalent to parallel resistance, and solar cell panel coefficientqeIs an electronic charge, k is the Boltzmann constant, JfIs the ideal factor of a diode, TaIs ambient temperature;
the output current I of the solar panel is approximately:
when the circuit is open, namely the output current I of the solar cell panel is equal to 0, there are:
the photo-generated current IphWith the received solar panel illuminance E and the ambient temperature TaIn proportion:
wherein, Isc,stcIs short-circuit current in standard test condition, i.e. illuminance E in standard test conditionstc=1000W/m2Ambient temperature T under Standard test conditionsa,stcShort-circuit current at 298K, αstcIs the short circuit current temperature coefficient;
the open circuit voltage U obtained by substituting formula (20) for formula (19b)ocIs composed of
the saturated dark current I in formula (17)s0Dependent on the ambient temperature Ta:
Wherein, Is0,stcIs dark under standard test conditionsSaturation current, coefficient ofEg,stc1.12eV is the band gap of the material in the standard test state;
when the circuit is short-circuited, i.e. the output voltage U equals 0, there is
Iph=Isc, (23)
Wherein, IscIs a short circuit current;
according to the formula (18), the dark saturation current I in the standard test state can be obtaineds0,stc:
Wherein, Uoc,stcIs the open circuit voltage under the standard test state;
obtaining the output power P of the solar cell panelsolarAs a function of the power gain g for the power amplifier:
energy Q collected by the solar panel at the time delta tsolar(Δt):
Qsolar(Δt)=PsolarΔt (26)
Step 1.4, calculating an illumination-speed-energy area of the point-to-point S L IPT V L C system:
power gain g of the power amplifier and the DC offset IDSatisfies the following conditions:
by combining formula (2), formula (7) and formula (27), it is possible to obtain:
introducing illumination-information-energy region CI-R-EThe illumination-information-energy region CI-R-EThe illumination level tau and the achievable rate R under the constraint condition of given emission powerSISOAnd collected energy QsolarComposition of said illumination-information-energy region CI-R-EThe expression of (a) is:
2. the method of claim 1, comprising the step 2 of establishing a many-to-many S L IPT V L C network according to the point-to-point S L IPT V L C system, wherein the many-to-many S L IPT V L C network comprises a many-to-many transmitting terminal and a many-to-many receiving terminal, and the many-to-many transmitting terminal converts many-to-many transmission signals into visible light through more than two light emitting diodes and transmits the visible light to the many-to-many receiving terminal;
the many-to-many receiving end receives many-to-many information of the visible light through more than two photodiodes or collects many-to-many energy of the visible light through more than two solar panels;
the method specifically comprises the following steps:
when N LEDs send data and energy to K users at the same time, order skData symbols representing said N LEDs to a kth user, where | sk|≤Ak,AkAndkrespectively the amplitude peak value and the variance of the kth data symbol;
the many-to-many transmission signal x is:
wherein K is the total number of users,for data symbols skBeamforming vector of 1NA vector in which all the elements of dimension N × 1 are 1;
wherein N is the number of light emitting diodes;
the beamforming vector gkSatisfies the following conditions:
wherein e isnIs a base vector;
the nth hairLuminous flux phi of photodioden,OTComprises the following steps:
wherein, gk,nIs the power gain between the nth led and the kth user.
3. The method of claim 2, wherein step 2 comprises:
step 2.1, analyzing the illumination control of the many-to-many S L IPTV L C network according to the many-to-many transmission signal x of the many-to-many S L IPT V L C network:
the beamforming vector gkSatisfies the following conditions:
wherein, IHMaximum allowable current for the light emitting diode;
illumination control of the many-to-many S L IPT V L C network, i.e. the illumination level τ, average light power of the many-to-many S L IPT V L C networkAnd said maximum optical power PTThe relationship between:
4. the method of claim 3, wherein the step 2 comprises:
step 2.2: analyzing a many-to-many information receiving module of the many-to-many receiving end:
signal y received at the kth user1,kComprises the following steps:
wherein, giBeamforming vector, s, for the ith useriFor data symbols sent to the ith user, h1,k,nFor channel gain from the nth LED to the kth user photodiode, h1,k=[h1,k,1,...,h1,k,N]TRepresenting the channel vector between the LED and the user k, zkIs zero mean and variance is σ2Additive gaussian noise of (a);
wherein the parameter αiAnd gammaiFrom AiAndidetermination of AiAndirespectively the amplitude peak value and the variance of the ith data symbol;
the lower bound of equation (38) is obtained by the following distribution:
wherein, αi,βiAnd gammaiIs a solution of the following equation:
5. the method of claim 4, wherein the step 2 comprises:
step 2.3: analyzing a many-to-many energy collection module of the many-to-many receiving end:
illuminance E received at the k-th userkComprises the following steps:
wherein h is2,k,nRepresenting the channel gain from the nth led to the kth customer solar panel, is the relative spectral energy density of the light emitting diode, λ is the wavelength of light, as a function of standard luminosity, EaIndicating the illuminance (W/m) of ambient light2),Φn,OTLuminous flux of the nth light emitting diode;
at the kth user, the solar panel outputs a voltage UkComprises the following steps:
Uk=ηUk,oc, (42)
wherein, Uk,ocIs the open circuit voltage of the solar panel at the kth user;
wherein the content of the first and second substances,Ik,sc,stcfor short circuit current in the kth solar panel standard test condition, αk,stcShort-circuit current temperature coefficient for kth solar panel, Ek,stcFor the illumination received by the kth user under standard test conditions, Ik,s0Saturated dark current for the kth user;
output current I of kth solar cell panelk:
wherein the content of the first and second substances,h2,k=[h2,k,1,...,h2,k,N]Trepresenting the channel vector between the led and the kth solar panel,
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