CN111756407A - Heterogeneous single relay channel transmission method based on optimization of all-state experience data arrival rate - Google Patents

Heterogeneous single relay channel transmission method based on optimization of all-state experience data arrival rate Download PDF

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CN111756407A
CN111756407A CN202010587989.6A CN202010587989A CN111756407A CN 111756407 A CN111756407 A CN 111756407A CN 202010587989 A CN202010587989 A CN 202010587989A CN 111756407 A CN111756407 A CN 111756407A
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representing
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丁津津
李奇越
操腾飞
高博
孙伟
汪玉
李帷韬
邓玉星
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Electric Power Research Institute of State Grid Anhui Electric Power Co Ltd
Hefei University of Technology
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Electric Power Research Institute of State Grid Anhui Electric Power Co Ltd
Hefei University of Technology
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B3/00—Line transmission systems
    • H04B3/54—Systems for transmission via power distribution lines
    • H04B3/542—Systems for transmission via power distribution lines the information being in digital form
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B3/00—Line transmission systems
    • H04B3/54—Systems for transmission via power distribution lines
    • H04B3/58—Repeater circuits
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
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    • H04W52/38—TPC being performed in particular situations
    • H04W52/46—TPC being performed in particular situations in multi hop networks, e.g. wireless relay networks

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Abstract

The invention discloses a heterogeneous single relay channel transmission method based on optimizing the arrival rate of ergodic data, which comprises the following steps: 1. encoding source data in the intelligent power grid according to time; 2. in a first time slot, a source (S) node transmits source data to a relay (R) node and a target (D) node through a wired (PLC) or wireless channel; 3. in the second time slot, the information received by the R node is forwarded to the D node through the power line and the wireless data communication medium. The invention can simultaneously consider the coexistence of heterogeneous networks, the influence of transmission link loss and the existence of a single relay channel, and simultaneously improve the data arrival rate of each experience in the transmission process, thereby improving the reliability of a transmission system.

Description

Heterogeneous single relay channel transmission method based on optimization of all-state experience data arrival rate
Technical Field
The invention relates to the field of single relay channel and data transmission of a heterogeneous network, in particular to a heterogeneous single relay channel transmission method based on optimization of an ergodic data arrival rate.
Background
Power line communication and wireless communication have their advantages. Power line communication is a network communication method, which refers to the transmission of information and data through a tangible medium. In this technique, a medium through which communication is performed is generally mainly an electric cable, an optical cable, or the like. The medium may be used for transmitting electric signals and optical signals. After the signal enters from the transmission end, the signal can be transmitted from the optical cable and the electric cable to the output end, so that the signal conversion is completed, and the output end can obtain corresponding data. The advantages of the PLC technology are mainly reflected in the aspects of stable signals, strong reliability and the like. In addition, because of the support of the medium, the transmission speed of the signal is also faster, and the safety is strong. However, this communication method has a drawback of high communication cost. The communication mode also has the characteristic of low portability because corresponding media are required to be used as supports for communication. Wireless communication is a common technology in network communication, in which electromagnetic waves are used as carriers to transmit data and information from an input end to an output end. The wireless communication technology has the advantages of low cost and strong mobility, but has poor interference resistance and low reliability. The wireless communication networks commonly used in various fields of the society at present mainly comprise 24GHz and 5GHz networks, and information transmission carriers of the 24GHz and 5GHz networks mainly comprise microwaves. In addition, the RFID technology also belongs to a major technology in the field of wireless communication. In the process of wireless network construction, the wireless communication technology should be popularized and applied on the principle of avoiding the defects and fully utilizing the advantages of the technology so as to improve the development level of the communication industry.
The Guangxi university of science and technology institute of Electrical and information engineering, Sygnan, and the like provide a multiple wireless heterogeneous cloud control system (Guangxi university of science and technology, 2019, 30(03):29-36, "design of intelligent cloud control system of multiple wireless heterogeneous network"), which mainly comprises a cloud server, a gateway and a plurality of terminal nodes, integrates communication protocols such as ZigBee, WiFi and GSM, realizes heterogeneous fusion of data among different protocols, is applied to various complex environments, and realizes intelligent monitoring of the complex environments. However, the system only considers the wireless heterogeneous network and does not consider the influence of wired transmission on data transmission.
Liu et al of North China Power university propose a CSMA/CA algorithm of a selection type based on a first idle first use mode and a CSMA/CA algorithm of a parallel transmission type based on a full idle second use mode (North China Power university, 2019, "MAC layer protocol research in a power line and wireless cooperative communication system"), and validity and reliability of system analysis models of the two algorithms are verified by simulation. However, the model does not consider the problem of the data arrival rate of the system ergodic state, which may cause the loss of the transmission communication data.
The Shanghai broadband technology and the application engineering research center Xuyunxiang and the like provide a method and a system for heterogeneous network fusion (publication number: CN 104640157B), and the method comprises the following steps: setting a network anchor point for interconnection among heterogeneous networks and communication with an external network; the network anchor point is responsible for receiving and forwarding user data; setting a network controller which is respectively in communication connection with the network anchor point and the user terminal; the network controller collects information of different networks through the network anchor point and the user terminal, and centrally controls interoperation among heterogeneous networks and fusion of multi-level heterogeneous networks; the user terminal is connected with the network anchor point through at least 1 data transmission tunnel. However, the method does not consider the situation that the transmission link is lost, which may cause the packet loss of data.
Sun friend, Guangdong Union electronic technology, Inc., etc. provides a power line wireless router (publication number: CN105227478A), which includes: the routing module scans all channels of the WiFi network circuit, randomly selects any idle channel as a communication channel of the WiFi network circuit if the idle channel exists, and selects a channel with the lowest power spectral density, a channel with the second lowest power spectral density from the last to the third lowest power spectral density and a channel with the third lowest power spectral density from the last to the third lowest power spectral density if the idle channel does not exist; and selecting the channel with the lowest online number of the wireless client from the three channels as a communication channel of the WiFi network circuit. However, this method does not consider the relay strategy of the communication channel, and may affect the reliability of the system.
Disclosure of Invention
The invention aims to avoid the defects of the prior art, and provides a heterogeneous single relay channel transmission method based on optimization of the arrival rate of the history data, so that the coexistence of heterogeneous networks, the influence of transmission link loss and the existence of a single relay channel can be considered at the same time, the arrival rate of the history data in the transmission process is improved at the same time, and the reliability of a transmission system is improved.
The invention adopts the following technical scheme for solving the technical problems:
the invention relates to a heterogeneous single-relay channel transmission method based on optimization of the data arrival rate of each history, which is characterized by being applied to a heterogeneous network environment consisting of a source node S, a relay node R, a target node D, a power line communication PLC (programmable logic controller) and wireless interfaces on three nodes, wherein the relay transmission method comprises the following steps:
step one, numbering N data according to time in the heterogeneous network environment, wherein N represents the serial number of the nth data, m represents the serial number of the mth data, and N is more than or equal to 1 and less than or equal to N; m is more than or equal to 1 and less than or equal to N;
let P be the transmission power transmitted in the t-th time slot over the communication medium qt qAnd q ∈ { P, W }, P denoting a power line communication PLC, W denoting a wireless channel, t ∈ {0,1}, when t is 0, denoting a first time slot, and when t is 1, denoting a second time slot;
the total transmission power allocated to the heterogeneous single trunk HSRC in two time slots is P ═ PS+PRNot less than 0, wherein PSDenotes the transmission power allocated to the source node S, and PS＝Po P+Po W≥0，Po PRepresenting transmission power, P, of a first time slot power line communicationo WRepresenting a transmission power of wireless communication in a first time slot; pRDenotes the transmission power allocated to the relay node R, and PR＝P1 P+P1 W≥0，P1 PRepresenting transmission power, P, of the second time slot power line communication1 WRepresenting a transmission power of the wireless communication of the second time slot;
let the symbol sequence sent by the source node S in the first time slot be { x [ N ] | N ═ 0,1, … N-1 }; x [ n ] represents a symbol sequence of the nth data;
the symbol sequence estimation value of the nth data transmitted by the source node S to the relay node R through the communication medium q is
Figure BDA0002554484140000031
Figure BDA0002554484140000032
A symbol sequence estimation value representing the nth data;
the discrete time of the channel impulse response CIR at the n-th data at the channel output after transmission of a single pulse sequence at the m-th data at the channel input over the communication medium q on the link l is
Figure BDA0002554484140000033
Where l ∈ { SD, SR, RD } denotes the SD link, SR link and RD link, respectively;
let the additive noise at the channel input of a relay node R transmitted over said communication medium q on an SD link be
Figure BDA0002554484140000034
Let the additive noise at the channel input of a target node D transmitting on an SR link over said communication medium q be
Figure BDA0002554484140000035
Making additive noise at the channel input of a target node D transmitting over said communication medium q on a RD link to
Figure BDA0002554484140000036
Step two, determining the slave node M through the communication medium q on the link l by using the formula (1)TTo node MRDiscrete time signal of transmitted symbol sequence
Figure BDA0002554484140000037
Figure BDA0002554484140000038
In the formula (1), { MT,MR}∈{{S,D},{S,R},{R,D}}，
Figure BDA0002554484140000039
Represents a sequence of symbols and has:
Figure BDA00025544841400000310
step three, sending N data on link l through discrete time of channel impulse response CIR of communication medium q
Figure BDA00025544841400000311
The result of Fourier transform is recorded as
Figure BDA00025544841400000312
Thereby utilizing the formula (3) and the formula(4) Respectively obtain a first diagonal matrix
Figure BDA00025544841400000313
And a second diagonal matrix
Figure BDA00025544841400000314
Figure BDA00025544841400000315
Figure BDA00025544841400000316
In the formulae (3) and (4),
Figure BDA0002554484140000041
discrete-time representation of the channel impulse response CIR of the nth data transmitted over the communication medium q on the link l
Figure BDA0002554484140000042
As a result of the fourier transform of (a),
Figure BDA0002554484140000043
discrete-time representation of the channel impulse response CIR of the mth data transmitted over the communication medium q on the link l
Figure BDA0002554484140000044
The result of the Fourier transform of (1);
suppose when
Figure BDA0002554484140000045
When it is, then
Figure BDA0002554484140000046
And
Figure BDA0002554484140000047
is an independent random variable and is obtained by using the formula (5)
Figure BDA0002554484140000048
And
Figure BDA0002554484140000049
the connection probability between:
Figure BDA00025544841400000410
step four, determining the symbol sequence transmitted on the link l through the communication medium q
Figure BDA00025544841400000411
Output frequency domain vector representation Yl q；
Step five, determining and symbol sequence by using the formula (6)
Figure BDA00025544841400000412
Associated signal-to-noise ratio matrix
Figure BDA00025544841400000413
Figure BDA00025544841400000414
In the formula (5), the reaction mixture is,
Figure BDA00025544841400000415
representing the power of the symbol sequence transmitted over said communication medium q in the t-th slot,
Figure BDA00025544841400000416
a variance representing a vector representation of additive noise transmitted over said communication medium q on a link l, when t is 1, l is RD, and when t is 0, l is SD or l is SR;
step six, assuming that the relay node R uses an amplification forwarding cooperative protocol AF, and the target node D uses a selective combination method SC; the symbol sequence at the channel output of link l is obtained using equation (7)
Figure BDA00025544841400000417
Vector frequency domain representation of (d):
Figure BDA00025544841400000418
in the formula (7), the reaction mixture is,
Figure BDA00025544841400000419
representing the discrete-time fourier variation of the channel impulse response CIR of data transmitted over said communication medium q on the link RD,
Figure BDA00025544841400000420
a vector representation of additive noise at the channel input by a target node D transmitted over said communication medium q on an RD link,
Figure BDA00025544841400000421
a magnitude matrix representing symbols transmitted by a second slot over said communication medium q,
Figure BDA00025544841400000422
the frequency domain vector representing the output represents the variance of Y and has:
Figure BDA0002554484140000051
in the formula (8), the reaction mixture is,
Figure BDA0002554484140000052
a power matrix representing symbols transmitted by a first time slot over said communication medium q,
Figure BDA0002554484140000053
to represent
Figure BDA0002554484140000054
The variance of the corresponding matrix is then determined,
Figure BDA0002554484140000055
the frequency domain vector representing the symbol represents the variance of X,
Figure BDA0002554484140000056
a vector representing the additive noise at the channel input of a relay node R transmitting over said communication medium q on an SR link represents the variance;
in the formula (7), the reaction mixture is,
Figure BDA0002554484140000057
represents a symbol sequence transmitted by the relay node R to the destination node D, and
Figure BDA0002554484140000058
Figure BDA0002554484140000059
representing a sequence of symbols transmitted over said communication medium q on a link SR
Figure BDA00025544841400000510
The output frequency-domain vector representation is then,
Figure BDA00025544841400000511
to represent
Figure BDA00025544841400000512
The reciprocal of (a);
step seven, determining and representing vector frequency domain by using the formula (9)
Figure BDA00025544841400000513
Correlated signal-to-noise ratio matrix
Figure BDA00025544841400000514
Figure BDA00025544841400000515
In the formula (9), the reaction mixture is,
Figure BDA00025544841400000516
a power matrix representing symbols transmitted by a second slot over said communication medium q,
Figure BDA00025544841400000517
to represent
Figure BDA00025544841400000518
The variance of the corresponding matrix is then determined,
Figure BDA00025544841400000519
a vector representative variance of additive noise at a channel input representing a target node D transmitting over said RD link over said communication medium q;
step eight, combining the formula (5) and the formula (9) to determine the SNR matrix at the target node D by using the formula (10)
Figure BDA00025544841400000520
Element (k, k) of (1)
Figure BDA00025544841400000521
Figure BDA00025544841400000522
In the formula (10), the compound represented by the formula (10),
Figure BDA00025544841400000523
representing the signal-to-noise ratio matrix at target node D on the SD link
Figure BDA00025544841400000524
The (k, k) element of (a),
Figure BDA00025544841400000525
matrix representing signal-to-noise ratio at target node D on SD link
Figure BDA00025544841400000526
The (k, k) element of (a),
Figure BDA00025544841400000527
matrix representing signal-to-noise ratio at target node D on SRD link
Figure BDA00025544841400000528
The (k, k) element of (a),
Figure BDA00025544841400000529
matrix representing signal-to-noise ratio at target node D on SRD link
Figure BDA00025544841400000530
The (k, k) element of (a), k ═ 0,1, ·, N-1;
step nine, determining the sequence of transmitted and received symbols using equation (11)
Figure BDA00025544841400000531
Correlation between I (X, Y):
Figure BDA00025544841400000532
in the formula (11), INThe frequency domain vector representing the symbol represents the variance of X;
step ten, determining the symbol sequence of each experience by using the formula (12)
Figure BDA0002554484140000061
Data arrival rate of
Figure BDA0002554484140000062
Figure BDA0002554484140000063
In the formula (12), BWIs the frequency bandwidth associated with the power line and wireless channel;
Figure BDA0002554484140000064
is a desire for frequency bandwidth associated with power lines and wireless channels; i isNRepresenting the variance of the vector representation of the symbol sequence after frequency domain digital modulation;
Figure BDA0002554484140000065
representing the signal-to-noise ratio matrix at the target node D, obtained using the AF protocol, ΛPRepresenting a sequence of symbols
Figure BDA0002554484140000066
A variance of the transmission power;
Figure BDA0002554484140000067
and the formula (7) satisfies Tr (Λ)P) P or less, P representing a symbol sequence
Figure BDA0002554484140000068
The transmission power of (1).
The heterogeneous single relay channel transmission method is characterized in that the fourth step is carried out according to the following processes:
step 4.1, let the symbol sequence { X [ N ] | N ═ 0,1, … N-1} sent by the source node S in the first time slot, represent vector after digital modulation of frequency domain and be denoted as X;
let Vl PAnd Vl WRespectively, the vector representation of the frequency domain additive noise of the power line communication PLC and the wireless channel on link l;
step 4.2, assuming that E { X } ═ 0,
Figure BDA0002554484140000069
where E {. is the desired operator,
Figure BDA00025544841400000610
is a conjugate transpose operator;
let V denote the vector representation of the additive noise at the channel input of a symbol sequence transmitted over the communication medium q on the link ll q；
Suppose E { Vl q}＝0，
Figure BDA00025544841400000611
Figure BDA00025544841400000612
Is Vl qThe variance matrix of (a) is calculated,
Figure BDA00025544841400000613
is Vl qThe nth element in the variance diagonal matrix;
step 4.3, determining the power in the frequency domain of the vector representation X of the symbol sequence transmitted over the communication medium q at the t-th time slot using equations (13) and (14)
Figure BDA00025544841400000614
Sum amplitude matrix
Figure BDA00025544841400000615
Figure BDA00025544841400000616
Figure BDA00025544841400000617
In the formulae (13) and (14),
Figure BDA00025544841400000618
is the transmission power of the nth symbol transmitted by the first slot over the transmission medium q and has:
Figure BDA00025544841400000619
tr (-) represents the tracking operator;
step 4.4, determining the sequence of symbols transmitted over the communication medium q on link i within N symbol periods using equation (15)
Figure BDA0002554484140000071
Output frequency domain vector representation Yl q：
Figure BDA0002554484140000072
In the formula (15), the reaction mixture is,
Figure BDA0002554484140000073
is a sequence of symbols
Figure BDA0002554484140000074
And (2) is represented by a vector of (a):
Figure BDA0002554484140000075
in the formula (16), the compound represented by the formula,
Figure BDA0002554484140000076
representing a sequence of symbols transmitted over said communication medium q
Figure BDA0002554484140000077
A frequency domain vector representation of the estimated symbols received at the output of the relay node R.
Compared with the prior art, the invention has the beneficial effects that:
1. the heterogeneous single relay channel transmission method comprises the coexistence of heterogeneous wired/wireless networks, the loss of transmission links and the single relay channel of the system, so that the data arrival rate of each experience in the data transmission process in the intelligent power grid is increased, and the system is more reliable. When the transmission link is lost, the data transmission can still be completed, so that the data packet loss rate of the system transmission is reduced.
2. The heterogeneous single-relay channel transmission method uses an amplification forwarding cooperation protocol at the relay node R and uses an SC (single carrier) technology at the target node D, and the heterogeneous concept is quantized to improve the benefit of data communication performance; through Fourier change, vector representation of symbols is given, a formula of signal-to-noise ratio is provided, and a mathematical expression of the data arrival rate of each state is deduced; the abstract problem is digitalized, so that the ergodic data arrival rate of the system can be observed more directly, and the ergodic data arrival rates of different methods can be compared.
Drawings
Fig. 1 is an architecture diagram of the transmission method of heterogeneous single relay channel according to the present invention.
Detailed Description
In this embodiment, as shown in fig. 1, a source node S, a relay node R, a destination node D, and a PLC and a wireless interface for power line communication above each node are provided in a heterogeneous network environment; wherein:
s, R, D node: each node utilizes the PLC and wireless interfaces thereon to transmit signals between the source node, the relay node, and the destination node. To reduce the operational complexity of the R-node, it operates in half-duplex mode and does not apply any combining technique to signals received over the PLC and wireless interfaces.
In the first time slot, the source node S transmits source data to the relay node R and the target node D through a PLC or a wireless channel, and in the second time slot, information received by the relay node R is forwarded to the target node D through a power line and a wireless data communication medium. The method aims to increase the benefit of data communication performance by quantitatively adopting a heterogeneous concept, an amplification forwarding cooperation protocol is used at a relay node R, and an SC (single carrier) technology is used at a target node D.
As shown in fig. 1, a heterogeneous single-relay-channel transmission method based on optimizing an ergodic data arrival rate can flexibly process SD link loss and increase the ergodic data arrival rate, and specifically, the method is performed according to the following steps:
step one, numbering N data according to time {1,2, …, N, …, m, …, N } in a heterogeneous network environment, wherein N represents the serial number of the nth data, m represents the serial number of the mth data, and N is more than or equal to 1 and less than or equal to N; m is more than or equal to 1 and less than or equal to N; in this embodiment, each data is numbered {1,2, 3.., 50} by time;
let P be the transmission power allocated to transmission over the q communication medium in the t-th slott qQ ∈ { P, W }, P denotes PLC, W denotes a radio channel, t ∈ {0,1}, denotes a first time slot when t is 0, and denotes a second time slot when t is 1;
the total transmission power allocated to the heterogeneous single trunk HSRC in two time slots is P ═ PS+PRNot less than 0, wherein PSDenotes the transmission power allocated to the source node S, and PS＝Po P+Po W≥0，Po PRepresenting transmission power, P, of a first time slot power line communicationo WRepresenting the transmission power, P, of the wireless communication in the first time slotS＝90mW；PRDenotes the transmission power allocated to the relay node R, and PR＝P1 P+P1 W≥0，P1 PRepresenting transmission power, P, of the second time slot power line communication1 WIndicating the transmission power, P, of the wireless communication in the second time slotR＝80mW；
Let the symbol sequence transmitted by the source node S in the first slot be { x [ N ] | N ═ 0,1, … N-1 }; x [ n ] represents a symbol sequence of the nth data;
the symbol sequence estimation value of the nth data transmitted by the source node S to the relay node R through the communication medium q is
Figure BDA0002554484140000081
Figure BDA0002554484140000082
A symbol sequence estimation value representing the nth data;
the discrete time of the channel impulse response CIR at the n-th data at the channel output after transmission of a single pulse sequence at the m-th data at the channel input over the communication medium q on the link l is
Figure BDA0002554484140000083
Where l ∈ { SD, SR, RD } denotes the SD link, SR link and RD link, respectively;
let the additive noise at the channel input of a relay node R transmitted over the communication medium q on the SD link be
Figure BDA0002554484140000084
Figure BDA0002554484140000085
Let the additive noise at the channel input of a target node D transmitting over a communication medium q on an SR link be
Figure BDA0002554484140000086
Figure BDA0002554484140000087
Let the additive noise at the channel input of the target node D, which is transmitted over the communication medium q on the RD link, be
Figure BDA0002554484140000091
Figure BDA0002554484140000092
Step two, determining the slave node M through the communication medium q on the link l by using the formula (1)TTo node MRDiscrete time signal of transmitted symbol sequence
Figure BDA0002554484140000093
Figure BDA0002554484140000094
In the formula (1), { MT,MR}∈{{S,D},{S,R},{R,D}}，
Figure BDA0002554484140000095
Represents a sequence of symbols and has:
Figure BDA0002554484140000096
step three, sending N data on link l through discrete time of channel impulse response CIR of communication medium q
Figure BDA0002554484140000097
The result of Fourier transform is recorded as
Figure BDA0002554484140000098
Thereby obtaining a first diagonal matrix by using the formula (3) and the formula (4), respectively
Figure BDA0002554484140000099
And a second diagonal matrix
Figure BDA00025544841400000910
Figure BDA00025544841400000911
Figure BDA00025544841400000912
In the formulae (3) and (4),
Figure BDA00025544841400000913
representing the discrete time of the channel impulse response CIR of the nth data transmitted over the communication medium q on the link l
Figure BDA00025544841400000914
As a result of the fourier transform of (a),
Figure BDA00025544841400000915
discrete-time representation of the channel impulse response CIR of the mth data transmitted over the communication medium q on the link l
Figure BDA00025544841400000916
The result of the Fourier transform of (1);
suppose when
Figure BDA00025544841400000917
When it is, then
Figure BDA00025544841400000918
And
Figure BDA00025544841400000919
is independently followed byMechanical variables and obtained by using the formula (5)
Figure BDA00025544841400000920
And
Figure BDA00025544841400000921
the connection probability between:
Figure BDA00025544841400000922
step four, determining the symbol sequence transmitted on the link l through the communication medium q
Figure BDA00025544841400000923
Output frequency domain vector representation Yl q；
Step 4.1, let the symbol sequence { X [ N ] | N ═ 0,1, … N-1} sent by the source node S in the first time slot, represent vector after digital modulation of frequency domain and be denoted as X;
let Vl PAnd Vl WRespectively, the vector representation of the frequency domain additive noise of the power line communication PLC and the wireless channel on link l;
step 4.2, assuming that E { X } ═ 0,
Figure BDA0002554484140000101
where E {. is the desired operator,
Figure BDA0002554484140000102
is a conjugate transpose operator;
let V denote the vector representation of the additive noise at the channel input of a symbol sequence transmitted over the communication medium q on the link ll q；
Suppose E { Vl q}＝0，
Figure BDA0002554484140000103
Figure BDA0002554484140000104
Is Vl qThe variance matrix of (a) is calculated,
Figure BDA0002554484140000105
is Vl qThe nth element in the variance diagonal matrix;
step 4.3, determining the power in the frequency domain of the vector representation X of the symbol sequence transmitted over the communication medium q at the t-th time slot using equations (6) and (7)
Figure BDA0002554484140000106
Sum amplitude matrix
Figure BDA0002554484140000107
Figure BDA0002554484140000108
Figure BDA0002554484140000109
In the formulae (6) and (7),
Figure BDA00025544841400001010
is the transmission power of the nth symbol transmitted by the first slot over the transmission medium q and has:
Figure BDA00025544841400001011
tr (-) represents the tracking operator;
step 4.4, determining the symbol sequence transmitted over the communication medium q on link l within N symbol periods using equation (8)
Figure BDA00025544841400001012
Output frequency domain vector representation Yl q：
Figure BDA00025544841400001013
In the formula (8), the reaction mixture is,
Figure BDA00025544841400001014
is a sequence of symbols
Figure BDA00025544841400001015
And (2) is represented by a vector of (a):
Figure BDA00025544841400001016
in the formula (9), the reaction mixture is,
Figure BDA00025544841400001017
representing a sequence of symbols transmitted over a communication medium q
Figure BDA00025544841400001018
A frequency domain vector representation of the estimated symbols received at the output of the relay node R.
Step five, determining and symbol sequence by using the formula (10)
Figure BDA00025544841400001019
Associated signal-to-noise ratio matrix
Figure BDA00025544841400001020
Figure BDA0002554484140000111
In the formula (10), the compound represented by the formula (10),
Figure BDA0002554484140000112
represents the power of the symbol sequence transmitted over the communication medium q in the t-th slot,
Figure BDA0002554484140000113
a variance of a vector representation representing additive noise transmitted over a communication medium q on a link l, where l is RD when t is 1 and SD or SR when t is 0;
step six, assuming that the relay node R uses an amplification forwarding cooperation protocol AF and the target node D uses selectionSelecting a combination method SC; the symbol sequence at the channel output of link l is obtained using equation (11)
Figure BDA0002554484140000114
Vector frequency domain representation of (d):
Figure BDA0002554484140000115
in the formula (11), the reaction mixture is,
Figure BDA0002554484140000116
representing the discrete-time fourier variation of the channel impulse response CIR of data transmitted over the communication medium q on the link RD,
Figure BDA0002554484140000117
a vector representation of the additive noise at the channel input by target node D transmitted over communication medium q on RD link,
Figure BDA0002554484140000118
a magnitude matrix representing symbols transmitted by the second slot over the communication medium q,
Figure BDA0002554484140000119
the frequency domain vector representing the output represents the variance of Y and has:
Figure BDA00025544841400001110
in the formula (12), the reaction mixture is,
Figure BDA00025544841400001111
a power matrix representing symbols transmitted by the first slot over the communication medium q,
Figure BDA00025544841400001112
to represent
Figure BDA00025544841400001113
The variance of the corresponding matrix is then determined,
Figure BDA00025544841400001114
the frequency domain vector representing the symbol represents the variance of X,
Figure BDA00025544841400001115
a vector representing the variance of the additive noise at the channel input of the relay node R transmitted over the communication medium q on the SR link;
in the formula (10), the compound represented by the formula (10),
Figure BDA00025544841400001116
represents a symbol sequence transmitted by the relay node R to the destination node D, and
Figure BDA00025544841400001117
Figure BDA00025544841400001118
representing a sequence of symbols transmitted over a communication medium q on a link SR
Figure BDA00025544841400001119
The output frequency-domain vector representation is then,
Figure BDA00025544841400001120
to represent
Figure BDA00025544841400001121
The reciprocal of (a);
step seven, determining and representing vector frequency domain by using the formula (13)
Figure BDA00025544841400001122
Correlated signal-to-noise ratio matrix
Figure BDA00025544841400001123
Figure BDA00025544841400001124
In the formula (13), the reaction mixture is,
Figure BDA0002554484140000121
a power matrix representing symbols transmitted by the second slot over the communication medium q,
Figure BDA0002554484140000122
to represent
Figure BDA0002554484140000123
The variance of the corresponding matrix is then determined,
Figure BDA0002554484140000124
a vector representing the variance of additive noise at the channel input by target node D transmitted over communication medium q on RD link;
and step eight, combining the formula (5) and the formula (13) to determine the signal-to-noise ratio matrix at the target node D by using the formula (14)
Figure BDA0002554484140000125
Element (k, k) of (1)
Figure BDA0002554484140000126
Figure BDA0002554484140000127
In the formula (14), the compound represented by the formula (I),
Figure BDA0002554484140000128
representing the signal-to-noise ratio matrix at target node D on the SD link
Figure BDA0002554484140000129
The (k, k) element of (a),
Figure BDA00025544841400001210
matrix representing signal-to-noise ratio at target node D on SD link
Figure BDA00025544841400001211
The (k, k) element of (a),
Figure BDA00025544841400001212
matrix representing signal-to-noise ratio at target node D on SRD link
Figure BDA00025544841400001213
The (k, k) element of (a),
Figure BDA00025544841400001214
matrix representing signal-to-noise ratio at target node D on SRD link
Figure BDA00025544841400001215
The (k, k) element of (a), k ═ 0,1, ·, N-1;
step nine, determining the sequence of transmitted and received symbols using equation (15)
Figure BDA00025544841400001216
Correlation between I (X, Y):
Figure BDA00025544841400001217
in the formula (15), INThe frequency domain vector representing the symbol represents the variance of X;
step ten, determining the symbol sequence of each experience by using the formula (16)
Figure BDA00025544841400001218
Data arrival rate of
Figure BDA00025544841400001219
Figure BDA00025544841400001220
In the formula (16), BWIs the frequency bandwidth associated with the power line and wireless channel;
Figure BDA00025544841400001221
is the expectation of the frequency bandwidth associated with the power line and wireless channel；INRepresenting the variance of the vector representation of the symbol sequence after frequency domain digital modulation;
Figure BDA00025544841400001222
representing the signal-to-noise ratio matrix at the target node D, obtained using the AF protocol, ΛPRepresenting a sequence of symbols
Figure BDA00025544841400001223
A variance of the transmission power;
Figure BDA00025544841400001224
and the formula (7) satisfies Tr (Λ)P) P or less, P representing a symbol sequence
Figure BDA00025544841400001225
The transmission power of (a);
table 1 heterogeneous single relay channel transmission system parameters based on optimizing ergodic data arrival rates
Figure BDA00025544841400001226
Figure BDA0002554484140000131
All parameters in the above steps are given in table 1.

Claims (2)

1. A heterogeneous single relay channel transmission method based on optimization of ergodic data arrival rate is characterized by being applied to a heterogeneous network environment consisting of a source node S, a relay node R, a target node D, a power line communication PLC (programmable logic controller) and wireless interfaces on three nodes, and the relay transmission method is carried out according to the following steps:
step one, numbering N data according to time in the heterogeneous network environment, wherein N represents a sequence number of nth data, m represents a sequence number of mth data, and N is more than or equal to 1 and less than or equal to N; m is more than or equal to 1 and less than or equal to N;
let in the t time slotWith transmission power P transmitted over communication medium qt qAnd q ∈ { P, W }, P denoting a power line communication PLC, W denoting a wireless channel, t ∈ {0,1}, when t is 0, denoting a first time slot, and when t is 1, denoting a second time slot;
the total transmission power allocated to the heterogeneous single trunk HSRC in two time slots is P ═ PS+PRNot less than 0, wherein PSDenotes the transmission power allocated to the source node S, and PS＝Po P+Po W≥0，Po PRepresenting transmission power, P, of a first time slot power line communicationo WRepresenting a transmission power of wireless communication in a first time slot; pRDenotes the transmission power allocated to the relay node R, and PR＝P1 P+P1 W≥0，P1 PRepresenting transmission power, P, of the second time slot power line communication1 WRepresenting a transmission power of the wireless communication of the second time slot;
let the symbol sequence sent by the source node S in the first time slot be { x [ N ] | N ═ 0,1, … N-1 }; x [ n ] represents a symbol sequence of the nth data;
the symbol sequence estimation value of the nth data transmitted by the source node S to the relay node R through the communication medium q is
Figure FDA0002554484130000011
Figure FDA0002554484130000012
A symbol sequence estimation value representing the nth data;
the discrete time of the channel impulse response CIR at the n-th data at the channel output after transmission of a single pulse sequence at the m-th data at the channel input over the communication medium q on the link l is
Figure FDA0002554484130000013
Where l ∈ { SD, SR, RD } denotes the SD link, SR link and RD link, respectively;
let the additive noise at the channel input of a relay node R transmitted over said communication medium q on an SD link be
Figure FDA0002554484130000014
Let the additive noise at the channel input of a target node D transmitting on an SR link over said communication medium q be
Figure FDA0002554484130000015
Making additive noise at the channel input of a target node D transmitting over said communication medium q on a RD link to
Figure FDA0002554484130000016
Step two, determining the slave node M through the communication medium q on the link l by using the formula (1)TTo node MRDiscrete time signal of transmitted symbol sequence
Figure FDA0002554484130000017
Figure FDA0002554484130000021
In the formula (1), { MT,MR}∈{{S,D},{S,R},{R,D}}，
Figure FDA0002554484130000022
Represents a sequence of symbols and has:
Figure FDA0002554484130000023
step three, sending N data on link l through discrete time of channel impulse response CIR of communication medium q
Figure FDA0002554484130000024
The result of Fourier transform is recorded as
Figure FDA0002554484130000025
Thereby obtaining a first diagonal matrix by using the formula (3) and the formula (4), respectively
Figure FDA0002554484130000026
And a second diagonal matrix
Figure FDA0002554484130000027
Figure FDA0002554484130000028
Figure FDA0002554484130000029
In the formulae (3) and (4),
Figure FDA00025544841300000210
discrete-time representation of the channel impulse response CIR of the nth data transmitted over the communication medium q on the link l
Figure FDA00025544841300000211
As a result of the fourier transform of (a),
Figure FDA00025544841300000212
discrete-time representation of the channel impulse response CIR of the mth data transmitted over the communication medium q on the link l
Figure FDA00025544841300000213
The result of the Fourier transform of (1);
suppose when
Figure FDA00025544841300000214
When it is, then
Figure FDA00025544841300000215
And
Figure FDA00025544841300000216
is an independent random variable and is obtained by using the formula (5)
Figure FDA00025544841300000217
And
Figure FDA00025544841300000218
the connection probability between:
Figure FDA00025544841300000219
step four, determining the symbol sequence transmitted on the link l through the communication medium q
Figure FDA00025544841300000220
Output frequency domain vector representation Yl q；
Step five, determining and symbol sequence by using the formula (6)
Figure FDA00025544841300000221
Associated signal-to-noise ratio matrix
Figure FDA00025544841300000222
Figure FDA00025544841300000223
In the formula (5), the reaction mixture is,
Figure FDA00025544841300000224
representing the power of the symbol sequence transmitted over said communication medium q in the t-th slot,
Figure FDA00025544841300000225
a variance representing a vector representation of additive noise transmitted over said communication medium q on a link l, when t is 1, l is RD, and when t is 0, l is SD or l is SR;
step six, assuming that the relay node R uses an amplification forwarding cooperative protocol AF, and the target node D uses a selective combination method SC; the symbol sequence at the channel output of link l is obtained using equation (7)
Figure FDA0002554484130000031
Vector frequency domain representation of (d):
Figure FDA0002554484130000032
in the formula (7), the reaction mixture is,
Figure FDA0002554484130000033
representing the discrete-time fourier variation of the channel impulse response CIR of data transmitted over said communication medium q on the link RD,
Figure FDA0002554484130000034
a vector representation of additive noise at the channel input by a target node D transmitted over said communication medium q on an RD link,
Figure FDA0002554484130000035
a magnitude matrix representing symbols transmitted by a second slot over said communication medium q,
Figure FDA0002554484130000036
the frequency domain vector representing the output represents the variance of Y and has:
Figure FDA0002554484130000037
in the formula (8), the reaction mixture is,
Figure FDA0002554484130000038
a power matrix representing symbols transmitted by a first time slot over said communication medium q,
Figure FDA0002554484130000039
to represent
Figure FDA00025544841300000310
The variance of the corresponding matrix is then determined,
Figure FDA00025544841300000311
the frequency domain vector representing the symbol represents the variance of X,
Figure FDA00025544841300000312
a vector representing the additive noise at the channel input of a relay node R transmitting over said communication medium q on an SR link represents the variance;
in the formula (7), the reaction mixture is,
Figure FDA00025544841300000313
represents a symbol sequence transmitted by the relay node R to the destination node D, and
Figure FDA00025544841300000314
Figure FDA00025544841300000315
representing a sequence of symbols transmitted over said communication medium q on a link SR
Figure FDA00025544841300000316
The output frequency-domain vector representation is then,
Figure FDA00025544841300000317
to represent
Figure FDA00025544841300000318
The reciprocal of (a);
step (ii) ofSeventhly, determining and representing vector frequency domain by using formula (9)
Figure FDA00025544841300000319
Correlated signal-to-noise ratio matrix
Figure FDA00025544841300000320
Figure FDA00025544841300000321
In the formula (9), the reaction mixture is,
Figure FDA00025544841300000322
a power matrix representing symbols transmitted by a second slot over said communication medium q,
Figure FDA00025544841300000323
to represent
Figure FDA00025544841300000324
The variance of the corresponding matrix is then determined,
Figure FDA00025544841300000325
a vector representative variance of additive noise at a channel input representing a target node D transmitting over said RD link over said communication medium q;
step eight, combining the formula (5) and the formula (9) to determine the SNR matrix at the target node D by using the formula (10)
Figure FDA00025544841300000326
Element (k, k) of (1)
Figure FDA0002554484130000041
In the formula (10), the compound represented by the formula (10),
Figure FDA0002554484130000042
representing the signal-to-noise ratio matrix at target node D on the SD link
Figure FDA0002554484130000043
The (k, k) element of (a),
Figure FDA0002554484130000044
matrix representing signal-to-noise ratio at target node D on SD link
Figure FDA0002554484130000045
The (k, k) element of (a),
Figure FDA0002554484130000046
matrix representing signal-to-noise ratio at target node D on SRD link
Figure FDA0002554484130000047
The (k, k) element of (a),
Figure FDA0002554484130000048
matrix representing signal-to-noise ratio at target node D on SRD link
Figure FDA0002554484130000049
The (k, k) element of (a), k ═ 0,1, ·, N-1;
step nine, determining the sequence of transmitted and received symbols using equation (11)
Figure FDA00025544841300000410
Correlation between I (X, Y):
Figure FDA00025544841300000411
in the formula (11), INThe frequency domain vector representing the symbol represents the variance of X;
step (ii) ofTen, utilizing the formula (12) to determine the symbol sequence of each experience
Figure FDA00025544841300000412
Data arrival rate of
Figure FDA00025544841300000413
Figure FDA00025544841300000414
In the formula (12), BWIs the frequency bandwidth associated with the power line and wireless channel;
Figure FDA00025544841300000415
is a desire for frequency bandwidth associated with power lines and wireless channels; i isNRepresenting the variance of the vector representation of the symbol sequence after frequency domain digital modulation;
Figure FDA00025544841300000416
representing the signal-to-noise ratio matrix at the target node D, obtained using the AF protocol, ΛPRepresenting a sequence of symbols
Figure FDA00025544841300000417
A variance of the transmission power;
Figure FDA00025544841300000418
and the formula (7) satisfies Tr (Λ)P) P or less, P representing a symbol sequence
Figure FDA00025544841300000419
The transmission power of (1).
2. The transmission method of claim 1, wherein the fourth step is performed as follows:
step 4.1, let the symbol sequence { X [ N ] | N ═ 0,1, … N-1} sent by the source node S in the first time slot, represent vector after digital modulation of frequency domain and be denoted as X;
let Vl PAnd Vl WRespectively, the vector representation of the frequency domain additive noise of the power line communication PLC and the wireless channel on link l;
step 4.2, assuming that E { X } ═ 0,
Figure FDA00025544841300000420
where E {. is the desired operator,
Figure FDA00025544841300000421
is a conjugate transpose operator;
let V denote the vector representation of the additive noise at the channel input of a symbol sequence transmitted over the communication medium q on the link ll q；
Suppose E { Vl q}＝0，
Figure FDA0002554484130000051
Figure FDA0002554484130000052
Is Vl qThe variance matrix of (a) is calculated,
Figure FDA0002554484130000053
is Vl qThe nth element in the variance diagonal matrix;
step 4.3, determining the power in the frequency domain of the vector representation X of the symbol sequence transmitted over the communication medium q at the t-th time slot using equations (13) and (14)
Figure FDA0002554484130000054
Sum amplitude matrix
Figure FDA0002554484130000055
Figure FDA0002554484130000056
Figure FDA0002554484130000057
In the formulae (13) and (14),
Figure FDA0002554484130000058
is the transmission power of the nth symbol transmitted by the first slot over the transmission medium q and has:
Figure FDA0002554484130000059
tr (-) represents the tracking operator;
step 4.4, determining the sequence of symbols transmitted over the communication medium q on link i within N symbol periods using equation (15)
Figure FDA00025544841300000510
Output frequency domain vector representation Yl q：
Figure FDA00025544841300000511
In the formula (15), the reaction mixture is,
Figure FDA00025544841300000512
is a sequence of symbols
Figure FDA00025544841300000513
And (2) is represented by a vector of (a):
Figure FDA00025544841300000514
in the formula (16), the compound represented by the formula,
Figure FDA00025544841300000515
representing a sequence of symbols transmitted over said communication medium q
Figure FDA00025544841300000516
A frequency domain vector representation of the estimated symbols received at the output of the relay node R.
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