CN107171724A - The method of visible light communication NOMA system powers distribution based on fair principle - Google Patents

The method of visible light communication NOMA system powers distribution based on fair principle Download PDF

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CN107171724A
CN107171724A CN201710264482.5A CN201710264482A CN107171724A CN 107171724 A CN107171724 A CN 107171724A CN 201710264482 A CN201710264482 A CN 201710264482A CN 107171724 A CN107171724 A CN 107171724A
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msub
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visible light
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沈弘
吴艳飞
赵春明
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Southeast University
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Southeast University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B10/00Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/11Arrangements specific to free-space transmission, i.e. transmission through air or vacuum
    • H04B10/114Indoor or close-range type systems
    • H04B10/116Visible light communication

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
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Abstract

The invention discloses a kind of method of the visible light communication non-orthogonal multiple NOMA system powers distribution based on fair principle, under conditions of transmission signal meets arithmetic number constraint, the power that optimization different user is distributed makes the minimum transmission rate of each user maximum.The present invention can directly find optimal power distribution method using dichotomy, and each closed solutions for having directly given power distribution step by step of dichotomy significantly reduce computation complexity, beneficial to realization.

Description

The method of visible light communication NOMA system powers distribution based on fair principle
Technical field
The present invention relates to a kind of fairness (Fairness) optimization problem technology of visible light communication non-orthogonal multiple system, The method of more particularly to a kind of visible light communication non-orthogonal multiple system power distribution based on fair principle, belongs to wireless optical Communication technical field.
Background technology
Visible light communication (VLC) technology has the free wide-band spectrum resources independently of radio spectrum, no electromagnetic interference And radiation, it is a kind of " green " wireless communication technology.Light emitting diode (LED) has high-speed response characteristic, can be incited somebody to action by it Data signal modulation carries out information transfer into visible ray.
In wireless communications, multiple access technology is a kind of technology for distinguishing different user.The multiple access skill of visible light communication Art is general by Mobile Communication Development.In mobile communications, conventional multiple access technology has time division multiple acess (TDMA), frequency division multiple access (FDMA), CDMA (CDMA), space division multiple access (SDMA), they are answered time domain, frequency domain, code domain, space resources respectively With making these resources be fully used.With the development of wireless communication technology, need of the people to power system capacity and handling capacity Ask increasing, this causes multiple access technology to become study hotspot instantly.
Non-orthogonal multiple (NOMA) technology proposes by Japanese communication operation developer NTT DOCOMO are formal in 2014, its Purpose is exactly to while Consumer's Experience demand is met, more efficiently utilize frequency spectrum resource.NOMA general principle is Supercomposed coding (SC) is used in transmitting terminal, interference information is actively introduced, counteracting serial interference (SIC) receiver is passed through in receiving terminal Realize correct demodulation.Compared with traditional orthogonal multiple access (OMA) technology, NOMA, can be well by the multiplexing to power domain Improve spectrum efficiency.
The content of the invention
The present invention provides a kind of visible light communication non-orthogonal multiple NOMA system powers distribution based on fair principle Method, i.e., under conditions of transmission signal meets arithmetic number constraint, the power that optimization different user is distributed makes each user most Small transmission rate is maximum.
The present invention uses following technical scheme to solve above-mentioned technical problem:
The present invention provides a kind of visible light communication non-orthogonal multiple NOMA system powers distribution based on fair principle Method, the fair principle is the minimum transmission rate for maximizing visible light communication non-orthogonal multiple system.
This method is comprised the following steps that:
Step 1, the maximum optimization problem of the minimum transmission rate of visible light communication non-orthogonal multiple system is set up:
Wherein, P is power allocation vector, P=(P1,P2,…,PN), PnTo distribute to the power of nth user, N is use Amount;Rn(P) it is the transmission rate of nth user;IDCFor the direct current biasing of transmitting terminal;
Step 2, the optimization problem set up in solution procedure 1, obtains causing the optimal work(that system minimum transmission rate is maximum Rate allocation vector P*
Step 3, the power allocation vector P obtained according to being solved in step 2*, complete visible light communication non-orthogonal multiple system User power distribution in system.
As the further prioritization scheme of the present invention, the transmission rate R of nth user in step 1n(P) it is:
Wherein, hnFor the channel response of transmitting terminal to nth user, and h1≤h2≤…≤hN,;PiTo distribute to i-th The power of user;For the noise variance of nth user.
It is used as the further prioritization scheme of the present invention, the channel response h of transmitting terminal to nth usernFor:
Wherein, m is lambert's exponent number,θ1/2For LED half-angles, dnFor the through of nth user and transmitting terminal Distance, A is photodiode PD receiving area, RPFor photodiode PD responsiveness,For the irradiation of nth user Angle, φnFor the incidence angle of nth user, T (φn) for nth user optical filter gain, g (φn) it is nth user Collector lens gain,β is the refractive index of collector lens, ΨFOVFor Photodiode PD visual field.
It is used as the further prioritization scheme of the present invention, the noise variance of nth userFor:
Wherein, q is the quantity of electric charge of an electron institute band;B is system bandwidth;χambFor background photo current;iampPut to be preceding The noise current density of big device.
As the further prioritization scheme of the present invention, the method for the optimization problem set up in step 2 in solution procedure 1 is:
2.1, variable t is introduced, the optimization problem set up in step 1 is converted into:
s.t.Rn(P) >=t, n=1,2 ..., N
2.2, setting accuracy ∈, make feasible iterations k=0, and calculate t initial Lower and upper bounds, the t initial upper boundT initial lower bound tLB=0;
2.3, calculate initial power allocation vectorWherein, 1NFor the full column vector of N-dimensional;
2.4, judge tUB-tLBWhether≤∈ is set up, and P is exported if setting upkIt is used as optimal power allocation vector P*;Otherwise enter Enter step 2.5;
2.5, orderCalculate power allocation vector P=(P1,P2,…,PN-2,PN-1,PN), it is specially:
Wherein, hNFor the channel response of transmitting terminal to n-th user,For the noise variance of n-th user,For jth The noise variance of individual user, hjFor the channel response of transmitting terminal to j-th of user;
2.6, according to the power allocation vector P obtained in 2.5, judgeWhether set up:Made if setting up K=k+1, Pk=P, tLB=t, if now tUB-tLB≤ ∈ then exports PkIt is used as optimal power allocation vector P*, otherwise return to 2.5; T is made if invalidUB=t, if now tUB-tLB≤ ∈ then exports PkIt is used as optimal power allocation vector P*, otherwise return to 2.5.
The present invention uses above technical scheme compared with prior art, with following technique effect:
1) present invention is minimum logical to maximize on the premise of ensureing that optical communication system transmitting end signal is always arithmetic number Letter speed is optimization aim, realizes NOMA optimal power allocation so that the worst user of channel also possesses preferably communication speed Rate;
2) present invention can directly find optimal power distribution method using dichotomy, dichotomy it is each straight step by step The closed solutions for giving power distribution are connect, computation complexity is significantly reduced, beneficial to realization.
Brief description of the drawings
The visible light communication system down link model schematic diagram that Fig. 1 considers for the present invention;
Fig. 2 is method flow schematic diagram of the invention;
Fig. 3 is the average minimum-rate of NOMA and OMA technologies with the curve map of changed power.
Embodiment
Technical scheme is described in further detail below in conjunction with the accompanying drawings:
The targeted traffic model of the present invention is visible light communication (VLC) downlink, its model as shown in figure 1, transmitting Hold to hang over the light emitting diode (LED) in the middle of ceiling, the signal of transmitting is received by photodiode, there is N number of in room The user of random distribution.There are some researches show the line-of-sight signal energy of VLC systems is much larger than reflected signal, therefore reflected signal can To ignore.The direct current channel gain of nth user is the channel response hnDetermined by following formula:
Wherein, n={ 1,2 ..., N }, π are pi, and m is lambert's exponent number,θ1/2For LED half-angles, dn For the through distance of nth user and LED, A is photodiode PD receiving area, RPFor photodiode PD response Degree,For the irradiation angle of nth user, φnFor the incidence angle of nth user, T (φn) for the optical filter of nth user Gain, g (φn) for nth user collector lens gain,β is poly- The refractive index of optical lens, ΨFOVFor photodiode PD visual field.
NOMA basic thought is to utilize supercomposed coding (SC) technology in transmitting terminal, actively introduces interference information, is being received (SIC) technology is deleted by serial interference and realizes demodulation in end.Specifically, LED need to send the signal s of N number of user simultaneously1, s2,…,sN, wherein, sn∈[-1,1].The power that nth user is distributed is Pn, NOMA is using SC technologies, the letter finally launched Number it isBecause the transmission signal of VLC systems need to be arithmetic number, therefore there is following constraint:
Wherein, IDCFor transmitting terminal LED direct current biasing.The signal that nth user receives is yn=hnx+zn, wherein, zn For the noise of nth user, its variance is
Wherein, q is the quantity of electric charge of an electron institute band, takes constant q=1.6 × 10-19Coulomb;B is system bandwidth;χambFor Background photo current;iampFor the noise current density of preamplifier.
Without loss of generality, it is assumed that h1≤h2≤…≤hN
Realized and demodulated by SIC technologies in receiving terminal, the transmission rate of nth user is:
Wherein, P=(P1,P2,…,PN) it is power allocation vector, PnTo distribute to the power of nth user, PiFor distribution Power to i-th of user.
The present invention provides the visible light communication non-orthogonal multiple NOMA system power distribution methods based on fair principle, is So that system minimum transmission rate is maximum, following optimization problem is set up:
As shown in Fig. 2 the method for solving the optimization problem of above-mentioned foundation is:
2.1, variable t is introduced, the optimization problem set up in step 1 is converted into:
s.t.Rn(P) >=t, n=1,2 ..., N
2.2, setting accuracy ∈, make feasible iterations k=0, and calculate t initial Lower and upper bounds, the t initial upper boundT initial lower bound tLB=0;
2.3, calculate initial power allocation vectorK=0, wherein, 1NFor the full column vector of N-dimensional;
2.4, judge tUB-tLBWhether≤∈ is set up, and P is exported if setting upkIt is used as optimal power allocation vector P*;Otherwise enter Enter step 2.5;
2.5, orderCalculate power allocation vector P=(P1,P2,…,PN-2,PN-1,PN), it is specially:
Wherein, hNFor the channel response of transmitting terminal to n-th user,For the noise variance of n-th user,For jth The noise variance of individual user, hjFor the channel response of transmitting terminal to j-th of user;
2.6, according to the power allocation vector P obtained in 2.5, judgeWhether set up:Made if setting up K=k+1, Pk=P, tLB=t, if now tUB-tLB≤ ∈ then exports PkIt is used as optimal power allocation vector P*, otherwise return to 2.5; T is made if invalidUB=t, if now tUB-tLB≤ ∈ then exports PkIt is used as optimal power allocation vector P*, otherwise return to 2.5.
In order to verify the performance of the inventive method, spy has carried out emulation experiment, the simulation experiment result as shown in figure 3, involved And parameter it is as shown in table 1
Parameter Value
Room-sized (length) 5m、5m、3m
PD responsivenesses 0.4A/W
PD visual fields (FOV) (half-angle) 62°
LED half-angles 47.5°
The refractive index of collector lens 1.5
PD areas 1cm2
Optical filter gain 1
Preamplifier noise density 5pA/Hz1/2
Background photo current 10.93A/m2/Sr
Bandwidth 100MHz
Fig. 3 for NOMA and OMA technologies average minimum-rate with changed power curve map, parameter as shown in table 1, user It is randomly dispersed on room floor, average minimum-rate is that the user counted using DSMC is in 1000 groups of different positions The average value for the minimum-rate put.By figure it can be found that increase luminous power or reduction number of users, can increase minimum-rate.With Being continuously increased for luminous power, NOMA technologies will be also continuously increased compared to the advantage of OMA technologies, when power is sufficiently large, NOMA Minimum-rate always be more than OMA.
It is described above, it is only the embodiment in the present invention, but protection scope of the present invention is not limited thereto, and appoints What be familiar with the people of the technology disclosed herein technical scope in, it will be appreciated that the conversion or replacement expected, should all cover Within the scope of the present invention, therefore, protection scope of the present invention should be defined by the protection domain of claims.

Claims (5)

1. the method for the visible light communication NOMA system powers distribution based on fair principle, it is characterised in that the fairness Principle is maximizes the minimum transmission rate of visible light communication non-orthogonal multiple system, and this method is comprised the following steps that:
Step 1, the maximum optimization problem of the minimum transmission rate of visible light communication non-orthogonal multiple system is set up:
<mrow> <munder> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> <mi>P</mi> </munder> <munder> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> <mrow> <mi>n</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>N</mi> </mrow> </munder> <msub> <mi>R</mi> <mi>n</mi> </msub> <mrow> <mo>(</mo> <mi>P</mi> <mo>)</mo> </mrow> </mrow>
<mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>s</mi> <mo>.</mo> <mi>t</mi> <mo>.</mo> </mrow> </mtd> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <msqrt> <msub> <mi>P</mi> <mi>n</mi> </msub> </msqrt> <mo>&amp;le;</mo> <msub> <mi>I</mi> <mrow> <mi>D</mi> <mi>C</mi> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
Wherein, P is power allocation vector, P=(P1,P2,…,PN), PnTo distribute to the power of nth user, N is number of users; Rn(P) it is the transmission rate of nth user;IDCFor the direct current biasing of transmitting terminal;
Step 2, the optimization problem set up in solution procedure 1, obtains the optimal power point for causing system minimum transmission rate maximum With vectorial P*
Step 3, the power allocation vector P obtained according to being solved in step 2*, complete in visible light communication non-orthogonal multiple system User power is distributed.
2. the method for the visible light communication NOMA system powers distribution according to claim 1 based on fair principle, its It is characterised by, the transmission rate R of nth user in step 1n(P) it is:
<mrow> <msub> <mi>R</mi> <mi>n</mi> </msub> <mrow> <mo>(</mo> <mi>P</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>+</mo> <mfrac> <mrow> <msubsup> <mi>h</mi> <mi>n</mi> <mn>2</mn> </msubsup> <msub> <mi>P</mi> <mi>n</mi> </msub> </mrow> <mrow> <msubsup> <mi>h</mi> <mi>n</mi> <mn>2</mn> </msubsup> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> <mi>N</mi> </msubsup> <msub> <mi>P</mi> <mi>i</mi> </msub> <mo>+</mo> <msubsup> <mi>&amp;sigma;</mi> <msub> <mi>z</mi> <mi>n</mi> </msub> <mn>2</mn> </msubsup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow>
Wherein, hnFor the channel response of transmitting terminal to nth user, and h1≤h2≤…≤hN,;PiTo distribute to i-th of user Power;For the noise variance of nth user.
3. the method for the visible light communication NOMA system powers distribution according to claim 2 based on fair principle, its It is characterised by, the channel response h of transmitting terminal to nth usernFor:
Wherein, m is lambert's exponent number,θ1/2For LED half-angles, dnFor nth user and the through distance of transmitting terminal, A is photodiode PD receiving area, RPFor photodiode PD responsiveness,For the irradiation angle of nth user, φn For the incidence angle of nth user, T (φn) for nth user optical filter gain, g (φn) be nth user optically focused The gain of lens,β is the refractive index of collector lens, ΨFOVFor photoelectricity two Pole pipe PD visual field.
4. the method for the visible light communication NOMA system powers distribution according to claim 3 based on fair principle, its It is characterised by, the noise variance of nth userFor:
<mrow> <msubsup> <mi>&amp;sigma;</mi> <msub> <mi>z</mi> <mi>n</mi> </msub> <mn>2</mn> </msubsup> <mo>=</mo> <mn>2</mn> <mi>q</mi> <mi>B</mi> <mrow> <mo>(</mo> <msub> <mi>I</mi> <mrow> <mi>D</mi> <mi>C</mi> </mrow> </msub> <msub> <mi>h</mi> <mi>n</mi> </msub> <mo>+</mo> <mn>2</mn> <msub> <mi>&amp;pi;R</mi> <mi>P</mi> </msub> <msub> <mi>&amp;chi;</mi> <mrow> <mi>a</mi> <mi>m</mi> <mi>b</mi> </mrow> </msub> <mi>A</mi> <mfrac> <msup> <mi>&amp;beta;</mi> <mn>2</mn> </msup> <mrow> <msup> <mi>sin</mi> <mn>2</mn> </msup> <mrow> <mo>(</mo> <msub> <mi>&amp;Psi;</mi> <mrow> <mi>F</mi> <mi>O</mi> <mi>V</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>(</mo> <mrow> <mn>1</mn> <mo>-</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;Psi;</mi> <mrow> <mi>F</mi> <mi>O</mi> <mi>V</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>+</mo> <msubsup> <mi>i</mi> <mrow> <mi>a</mi> <mi>m</mi> <mi>p</mi> </mrow> <mn>2</mn> </msubsup> <mi>B</mi> </mrow>
Wherein, q is the quantity of electric charge of an electron institute band;B is system bandwidth;χambFor background photo current;iampFor preamplifier Noise current density.
5. the method for the visible light communication NOMA system powers distribution according to claim 4 based on fair principle, its It is characterised by, the method for the optimization problem set up in step 2 in solution procedure 1 is:
2.1, variable t is introduced, the optimization problem set up in step 1 is converted into:
<mfenced open = "" close = ""> <mtable> <mtr> <mtd> <munder> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> <mi>P</mi> </munder> </mtd> <mtd> <mi>t</mi> </mtd> </mtr> </mtable> </mfenced>
s.t. Rn(P) >=t, n=1,2 ..., N
<mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <msqrt> <msub> <mi>P</mi> <mi>n</mi> </msub> </msqrt> <mo>&amp;le;</mo> <msub> <mi>I</mi> <mrow> <mi>D</mi> <mi>C</mi> </mrow> </msub> </mrow>
2.2, setting accuracy ∈, make feasible iterations k=0, and calculate t initial Lower and upper bounds, the t initial upper boundT initial lower bound tLB=0;
2.3, calculate initial power allocation vectorWherein, 1NFor the full column vector of N-dimensional;
2.4, judge tUB-tLBWhether≤∈ is set up, and P is exported if setting upkIt is used as optimal power allocation vector P*;Otherwise step is entered Rapid 2.5;
2.5, orderCalculate power allocation vector P=(P1,P2,…,PN-2,PN-1,PN), it is specially:
<mrow> <msub> <mi>P</mi> <mi>N</mi> </msub> <mo>=</mo> <mrow> <mo>(</mo> <msup> <mn>2</mn> <mrow> <mn>2</mn> <mi>t</mi> </mrow> </msup> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mfrac> <msubsup> <mi>&amp;sigma;</mi> <msub> <mi>z</mi> <mi>N</mi> </msub> <mn>2</mn> </msubsup> <msubsup> <mi>h</mi> <mi>N</mi> <mn>2</mn> </msubsup> </mfrac> </mrow>
<mrow> <msub> <mi>P</mi> <mi>j</mi> </msub> <mo>=</mo> <mrow> <mo>(</mo> <msup> <mn>2</mn> <mrow> <mn>2</mn> <mi>t</mi> </mrow> </msup> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mfrac> <mrow> <msubsup> <mi>&amp;sigma;</mi> <msub> <mi>z</mi> <mi>j</mi> </msub> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <mi>h</mi> <mi>j</mi> <mn>2</mn> </msubsup> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mi>j</mi> <mo>+</mo> <mn>1</mn> </mrow> <mi>N</mi> </msubsup> <msub> <mi>P</mi> <mi>i</mi> </msub> </mrow> <msubsup> <mi>h</mi> <mi>j</mi> <mn>2</mn> </msubsup> </mfrac> <mo>,</mo> <mi>j</mi> <mo>=</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> <mo>,</mo> <mi>N</mi> <mo>-</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> </mrow>
Wherein, hNFor the channel response of transmitting terminal to n-th user,For the noise variance of n-th user,For j-th of use The noise variance at family, hjFor the channel response of transmitting terminal to j-th of user;
2.6, according to the power allocation vector P obtained in 2.5, judgeWhether set up:K=k is made if setting up +1、Pk=P, tLB=t, if now tUB-tLB≤ ∈ then exports PkIt is used as optimal power allocation vector P*, otherwise return to 2.5;If no Establishment then makes tUB=t, if now tUB-tLB≤ ∈ then exports PkIt is used as optimal power allocation vector P*, otherwise return to 2.5.
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Application publication date: 20170915