CN105429709B - A kind of MU MISO visible light communication systems ZF pre-coding matrix determines method - Google Patents

A kind of MU MISO visible light communication systems ZF pre-coding matrix determines method Download PDF

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CN105429709B
CN105429709B CN201510766029.5A CN201510766029A CN105429709B CN 105429709 B CN105429709 B CN 105429709B CN 201510766029 A CN201510766029 A CN 201510766029A CN 105429709 B CN105429709 B CN 105429709B
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miso
visible light
light communication
communication systems
elements
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CN105429709A (en
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沈弘
邓榆钦
赵春明
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Southeast University
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Southeast University
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/11—Arrangements specific to free-space transmission, i.e. transmission through air or vacuum
    • H04B10/114—Indoor or close-range type systems
    • H04B10/116—Visible light communication
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/50—Transmitters
    • H04B10/501—Structural aspects
    • H04B10/503—Laser transmitters
    • H04B10/505—Laser transmitters using external modulation
    • H04B10/5055—Laser transmitters using external modulation using a pre-coder

Abstract

The invention discloses a kind of MU MISO visible light communication systems ZF pre-coding matrix to determine method, the error code parameter that the bit error rate of the present invention according to needed for MU MISO visible light communication systems determines, then according to the error code parameter and the equivalent channel gain of MU MISO k-th of user of visible light communication system, the standard deviation of k-th of receiver user noise, channel matrix, LED emission maximum luminous power establishes object function constraints corresponding with its, then solution is optimized to object function, obtain optimal ZF pre-coding matrix W, compared with traditional ZF pre-coding scheme based on channel pseudoinverse, the present invention can obtain significant bandwidth availability ratio gain under the limited scene of each transmitting LED light power.

Description

A kind of MU-MISO visible light communication systems ZF pre-coding matrix determines method
Technical field
The present invention relates to wireless light communication technical field, more particularly to a kind of MU-MISO visible light communication systems ZF are pre- Encoder matrix computational methods.
Background technology
In recent years, it is seen that optical communication technique has turned into a big study hotspot of communication academia and industrial quarters concern.The skill Art can realize illumination and radio communication function simultaneously, and high with transmission data rate, strong security, without frequency spectrum certification, The advantages that without electromagnetic interference, it is the key technology of a great potential in future broadband wireless communication systems.
The characteristics of MISO system, is that transmitting terminal is equipped with more antennas, and receiving terminal is equipped with single antenna.If all days Line send identical signal, because aerial position is different, then reach receiving terminal position when these signals be through Different degrees of multipath fading has been gone through, thus has been the different copies of same signal.At this moment if in receiving terminal using such as most It is big that the envelope of reception signal is handled than particular technologys such as merging, then it can be obtained under identical transmission power more defeated than single Enter single more preferable signal to noise ratio of output, this effect is referred to as emission diversity gain.Although multiple-input and multiple-output (Multi- Input Multi-Output, MIMO) technology has been obtained for widely studying, but because the physical size of user terminal limits System causes MIMO application to receive larger limitation.In this context, MISO technologies still present very strong life Order power.On the basis of single user MISO technologies, MU-MISO technologies on identical time and frequency due to that can realize majority According to stream and the spatial reuse of multi-user and abundant space diversity gain and multi-user diversity gain are provided, is expected to turn into following nothing The core technology of line communication system.
At present, some scholars have begun to MU-MISO technologies being introduced into visible light communication system, to improve the band of system Wide utilization rate and reliability.In MU-MISO systems, transmitting terminal carries out processing using pre-coding matrix to transmission signal to be had Imitate the performance of raising system.Simplest precoding mode is ZF precoding, i.e., offsets inter-user interference using channel information. Traditional ZF scheme uses the form of channel pseudoinverse, and for the MU-MISO systems of every transmitting LED light power limited, the program It cannot ensure that systematic function is optimal.
The content of the invention
Goal of the invention：In order to overcome the deficiencies in the prior art, the present invention provides a kind of MU-MISO visible light communications System ZF pre-coding matrix determines method, and the ZF pre-coding matrix determines method for every transmitting LED light power limited It MU-MISO systems, not only can ensure that systematic function is optimal, and significant bandwidth availability ratio gain can be obtained,
Technical scheme：To achieve the above object, the technical solution adopted by the present invention is：
A kind of MU-MISO visible light communication systems ZF pre-coding matrix determines method, comprises the following steps：
Step 1, the error code parameter η that the bit error rate according to needed for MU-MISO visible light communication systems determines；
Step 2, received according to the equivalent channel gain of k-th of user of MU-MISO visible light communication systems, k-th of user The standard deviation of machine noise, channel matrix, LED emission maximum luminous power and step 1 in the error code parameter η that determines establish target Function constraints corresponding with its：
Object function is：
Maximize
Constraints is：
μ≥0K×1,
HW=diag (μ),
abs(W)1K×1≤p；
Wherein, μ=(μ1,μ2,...,μK)T, μkRepresent the equivalent channel gain of k-th of user, k=1,2 ..., K, K be Number of users, subscript T represent transposition computing；0K×1Represent the column vector that all elements are 0 and number of elements is K；σkFor k-th The standard deviation of receiver user noise, H are channel matrix, and diag (μ) represents K × K diagonal matrix that the elements in a main diagonal is μ, W ZF pre-coding matrix is represented, abs (W) represents to take absolute value to all elements in W；1K×1Represent that all elements are 1 and element Quantity is K column vector；P=(p1,p2,...,pN)T, pnRepresent n-th of LED emission maximum luminous power, n=1,2 ..., N, N is transmitting LED numbers；
Step 3, the object function and constraints step 2 obtained optimizes, and obtains optimal ZF pre-coding matrix W。
Preferably：The error code parameter η is：
Wherein, η is error code parameter, BERTThe bit error rate needed for expression system.
Preferably：The optimization tool used when optimizing in the step 3 is CVX tool box.
It is 5. preferable：K × K diagonal matrix diag (μ) form that the elements in a main diagonal is μ in the step 2 is：
Wherein, diag (μ) represents K × K diagonal matrix that the elements in a main diagonal is μ, μkRepresent the equivalent letter of k-th of user Road gain.
A kind of MU-MISO visible light communication systems ZF pre-coding matrix provided by the invention determines method, compared to existing Technology, have the advantages that：
In conventional method, ZF precoding is limited as the form of channel pseudoinverse.And for every transmitting LED light power limited MU-MISO systems, the program cannot ensure that systematic function is optimal.The present invention not office during pre-coding matrix is calculated It is limited to the fixed form of channel pseudoinverse, but directly carries out the code optimization that prelists using ZF as a constraints, in each hair Significant bandwidth availability ratio gain can be obtained compared to conventional method by penetrating under the scene of LED independent light power limiteds, while being capable of energy Ensure that systematic function is optimal.
Brief description of the drawings
Fig. 1 is MU-MISO visible light communication system transmitting terminal ZF pre-coding matrix computational methods proposed by the invention Flow chart；
Fig. 2 is the bandwidth availability ratio curve comparison figure using the ZF precoding that the present invention calculates and traditional ZF scheme.
Embodiment
Below in conjunction with the accompanying drawings and specific embodiment, the present invention is furture elucidated, it should be understood that these examples are merely to illustrate this Invention rather than limitation the scope of the present invention, after the present invention has been read, those skilled in the art are various to the present invention's The modification of the equivalent form of value falls within the application appended claims limited range.
A kind of MU-MISO visible light communication systems ZF pre-coding matrix determines method, as shown in figure 1, including following step Suddenly：
Step 1, the error code parameter η that the bit error rate according to needed for MU-MISO visible light communication systems determines；
The error code parameter η is：
Wherein, η is error code parameter, BERTThe bit error rate needed for expression system.
Step 2, received according to the equivalent channel gain of k-th of user of MU-MISO visible light communication systems, k-th of user The standard deviation of machine noise, channel matrix, LED emission maximum luminous power and step 1 in the error code parameter η that determines establish target Function constraints corresponding with its：
Object function is：
Maximize
Constraints is：
μ≥0K×1,
HW=diag (μ),
abs(W)1K×1≤p；
Wherein, μ=(μ1,μ2,...,μK)T, μkRepresent the equivalent channel gain of k-th of user, k=1,2 ..., K, K be Number of users, subscript T represent transposition computing；0K×1Represent the column vector that all elements are 0 and number of elements is K；σkFor k-th The standard deviation of receiver user noise, H are channel matrix, and diag (μ) represents K × K diagonal matrix that the elements in a main diagonal is μ, W ZF pre-coding matrix is represented, abs (W) represents to take absolute value to all elements in W；1K×1Represent that all elements are 1 and element Quantity is K column vector；P=(p1,p2,...,pN)T, pnRepresent n-th of LED emission maximum luminous power, n=1,2 ..., N, N is transmitting LED numbers；
Step 3, the object function and constraints step 2 obtained optimizes, the optimization tool used during optimization for CVX tool boxes, obtain optimal ZF pre-coding matrix W.
As shown in Fig. 2 to use the ZF precoding that the present invention calculates and the bandwidth availability ratio curve of traditional ZF scheme Comparison diagram, the parameter being related to is emulated shown in table 1.
Parameter Value
Room-sized (length × width × height) 5m×5m×3m
LED quantity 9
LED height 2.5m
LED spacing 1.25m
Receiving plane height 0.85m
Emitter launches half-angle 62o
Photodetector responsiveness 0.4A/W
Receiver visual field (FOV) (half-angle) 62o
The refractive index of optical concentrator 1.5
Preamplifier noise density 5pA/Hz-1/2
Ambient light photoelectric current 10.93A/m2/Sr
Receiver quantity 4
Receiver noise bandwidth 2MHz
Receiver location (totally 300 groups) at random
Receiver area 1cm2
Bit error rate requirement 10-3
Table 1
From figure 2 it can be seen that relative to conventional method, the inventive method can provide significant bandwidth availability ratio and increase Benefit, this is due to the form that ZF pre-coding matrix is not limited as channel pseudoinverse by innovatory algorithm.
In summary, the error code parameter that the bit error rate of the present invention according to needed for MU-MISO visible light communication systems determines, so Connect afterwards according to the equivalent channel gain of k-th of user of the error code parameter and MU-MISO visible light communication systems, k-th of user Standard deviation, channel matrix, the LED emission maximum luminous power of receipts machine noise establish object function constraints corresponding with its, Then solution is optimized to object function, obtains optimal ZF pre-coding matrix W, it is pre- with traditional ZF based on channel pseudoinverse Encoding scheme is compared, and the present invention can obtain significant bandwidth availability ratio under the limited scene of each transmitting LED light power and increase Benefit.
Described above is only the preferred embodiment of the present invention, it should be pointed out that：For the ordinary skill people of the art For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should It is considered as protection scope of the present invention.

Claims (3)

1. a kind of MU-MISO visible light communication systems ZF pre-coding matrix determines method, it is characterised in that including following step Suddenly：
Step 1, the error code parameter η that the bit error rate according to needed for MU-MISO visible light communication systems determines；
The error code parameter η is：
<mrow> <mi>&amp;eta;</mi> <mo>=</mo> <msqrt> <msup> <mrow> <mo>(</mo> <mo>-</mo> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mo>(</mo> <mrow> <mn>5</mn> <msub> <mi>BER</mi> <mi>T</mi> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </msqrt> <mo>;</mo> </mrow>
Wherein, η is error code parameter, BERTThe bit error rate needed for expression system；
Step 2, made an uproar according to the equivalent channel gain of k-th of user of MU-MISO visible light communication systems, k-th of receiver user The standard deviation of sound, channel matrix, LED emission maximum luminous power and step 1 in the error code parameter η that determines establish object function Constraints corresponding with its：
Object function is：
Constraints is：
μ≥0K×1,
HW=diag (μ),
abs(W)1K×1≤p；
Wherein, μ=(μ1,μ2,...,μK)T, μkRepresent the equivalent channel gain of k-th of user, k=1,2 ..., K, K be user Number, subscript T represent transposition computing；0K×1Represent the column vector that all elements are 0 and number of elements is K；σkFor k-th of user The standard deviation of receiver noise, H are channel matrix, and diag (μ) represents K × K diagonal matrix that the elements in a main diagonal is μ, and W is represented ZF pre-coding matrix, abs (W) represent to take absolute value to all elements in W；1K×1Represent that all elements are 1 and number of elements For K column vector；P=(p1,p2,...,pN)T, pnRepresent n-th of LED emission maximum luminous power, n=1,2 ..., N, N be Launch LED numbers；
Step 3, the object function and constraints step 2 obtained optimizes, and obtains optimal ZF pre-coding matrix W.
2. MU-MISO visible light communication systems ZF pre-coding matrix according to claim 1 determines method, its feature exists In：The optimization tool used when optimizing in the step 3 is CVX tool box.
3. MU-MISO visible light communication systems ZF pre-coding matrix according to claim 1 determines method, its feature exists In：K × K diagonal matrix diag (μ) form that the elements in a main diagonal is μ in the step 2 is：
Wherein, diag (μ) represents K × K diagonal matrix that the elements in a main diagonal is μ, μkRepresent that the equivalent channel of k-th of user increases Benefit.
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CN108234023B (en) * 2018-01-12 2020-06-30 东莞信大融合创新研究院 Power efficient zero-breaking precoding scheme based on deviation channel information
CN109831252B (en) * 2019-03-04 2020-07-03 江南大学 Multi-user sending precoding design method in visible light communication
CN112491471B (en) * 2020-12-03 2021-08-13 东南大学 Forced pre-coding method for visible light communication system
CN112491472B (en) * 2020-12-03 2022-02-01 东南大学 Method for optimizing zero forcing precoding matrix of visible light communication system
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