CN107359926A - A kind of full duplex relaying transmission method based on energy state - Google Patents

A kind of full duplex relaying transmission method based on energy state Download PDF

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CN107359926A
CN107359926A CN201710463555.3A CN201710463555A CN107359926A CN 107359926 A CN107359926 A CN 107359926A CN 201710463555 A CN201710463555 A CN 201710463555A CN 107359926 A CN107359926 A CN 107359926A
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msub
nights
stay
relaying
information source
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CN107359926B (en
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赵睿
聂志巧
李元健
吴奇
王聪
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Huaqiao University
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Huaqiao University
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W40/00—Communication routing or communication path finding
    • H04W40/02—Communication route or path selection, e.g. power-based or shortest path routing
    • H04W40/04—Communication route or path selection, e.g. power-based or shortest path routing based on wireless node resources
    • H04W40/10—Communication route or path selection, e.g. power-based or shortest path routing based on wireless node resources based on available power or energy
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/14—Relay systems
    • H04B7/15—Active relay systems
    • H04B7/155—Ground-based stations
    • H04B7/15592—Adapting at the relay station communication parameters for supporting cooperative relaying, i.e. transmission of the same data via direct - and relayed path
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L5/00—Arrangements affording multiple use of the transmission path
    • H04L5/14—Two-way operation using the same type of signal, i.e. duplex
    • H04L5/1438—Negotiation of transmission parameters prior to communication
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W40/00—Communication routing or communication path finding
    • H04W40/02—Communication route or path selection, e.g. power-based or shortest path routing
    • H04W40/22—Communication route or path selection, e.g. power-based or shortest path routing using selective relaying for reaching a BTS [Base Transceiver Station] or an access point
    • 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
    • H04W52/04—TPC
    • H04W52/18—TPC being performed according to specific parameters
    • H04W52/24—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
    • H04W52/241—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters taking into account channel quality metrics, e.g. SIR, SNR, CIR, Eb/lo
    • 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
    • H04W52/04—TPC
    • 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
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00—Reducing energy consumption in communication networks
    • Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks

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  • Engineering & Computer Science (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Quality & Reliability (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Radio Relay Systems (AREA)

Abstract

The invention discloses a kind of full duplex relaying transmission method based on energy state, applies in the full duplex relaying system comprising three information source, relaying and the stay of two nights nodes, wherein information source and stay of two nights configuration single antenna, the antenna of link deployment two；Relay as passive bus, be that its work energizes by energy acquisition；System includes following working condition：When the stay of two nights can be correctly decoded, relaying is only operated in collecting energy state not forwarding information；When threshold value set by energy state satisfaction is relayed when the stay of two nights fails to be correctly decoded, full duplex relaying is using radio signal power distribution energy acquisition technology collecting energy and forwarding information；When the stay of two nights fails to be correctly decoded and relays energy state and is unsatisfactory for set threshold value, system stops communication, and information source sends energy signal to relaying, relays a collecting energy.For the present invention relative to traditional energy acquisition trunk protocol, the power of information that the stay of two nights receives relaying is more stable, can preferably save the energy, and with preferably systematic function.

Description

A kind of full duplex relaying transmission method based on energy state
Technical field
The present invention relates to radio communication and safety of physical layer field, in more particularly to a kind of full duplex based on energy state After transmission method.
Background technology
In recent years, the research of energy conservation in wireless networks acquisition technique receives extensive concern, for being not easy to adopt on a large scale With the junction network of wired energy supply, such as sensor network, traditional method is to use battery powered, but this method causes The network operation cost in later stage is higher, it is necessary to periodic replacement battery or charge the battery.The shortcomings that being relayed for tradition, there is Person will be based on time distribution (TSR) and the energy acquisition agreement of power distribution (PSR) introduces relaying so that relaying can gather nothing The energy of line radiofrequency signal, without battery powered.But there is also following deficiency for the agreement：
1st, in due to gathering trunk protocol in conventional energy, the transmit power of relaying increases with the channel of information source to via node Benefit is closely related, and when information source is poor to the channel status relayed, it is less to relay the energy of collection, therefore transmit power is also relative It is smaller, it have impact on the lifting of systematic function；
2nd, traditional energy acquisition trunk protocol requires that relaying is involved in forwarding information at any time, even in stay of two nights energy In the case of being enough correctly decoded, relaying remains engaged in forwarding, therefore causes the waste of the energy.
The content of the invention
It is an object of the invention to overcome the deficiencies in the prior art, proposes that a kind of full duplex relaying based on energy state passes Transmission method, specially a kind of passive relay of firm power forwarding information, i.e. relaying collecting energy and can be stored in battery In, when energy is more than predetermined threshold value, relaying just starts forwarding information；In addition, when the stay of two nights can be correctly decoded information, relaying No longer forwarding information, but only carry out energy acquisition；When the stay of two nights can not be correctly decoded information, full duplex relaying just uses PSR Energy acquisition Protocol Forwarding Information.
The technical solution adopted for the present invention to solve the technical problems is：
A kind of full duplex relaying transmission method based on energy state, apply including information source S, relaying R and destination D tri- In the communication system of individual node, the relaying is passive bus, and methods described includes：
Step 1, information source S sends test pilot signal to stay of two nights D, and stay of two nights D receives test pilot signal and calculates its letter Make an uproar ratio；
Step 2, stay of two nights D by its received signal to noise ratio with needed for it is decoded compared with minimum signal to noise ratio；If it receives letter Make an uproar than decoding required signal-to-noise ratio T more than minimum, then perform step 3, otherwise perform step 4；
Step 3, stay of two nights D is to information source S feedback signals " 1 ", after information source S receives the signal " 1 " of stay of two nights D transmissions with relaying R, Information source S starts to communicate with stay of two nights D, relays R collecting energies；
Step 4, stay of two nights D after information source S receives the signal " 0 " of feedback with relaying R, relays R to information source S feedback signals " 0 " Start to estimate self-energy, if relaying R self-energies are more than predetermined threshold value, perform step 5, otherwise perform step 6；
Step 5, relay R and send signal " 10 " to information source S and stay of two nights D, information source S and stay of two nights D is received from relaying R's After " 10 " signal, information source S starts to communicate with stay of two nights D, relays R forwarding informations；
Step 6, relay R and send signal " 01 " to information source S and stay of two nights D, information source S and stay of two nights D is received from relaying R's After " 01 " signal, system break communication, information source S sends energy signal to relaying R.
The information source and information destination node configure single antenna, and via node configures two antennas.
Relaying R working condition includes being operated in charged state and is operated in information forwarding state.
When relaying R is operated in charged state, relays the information that will be received and be completely used for collecting energy；
Because noise power relative signal power is smaller, thus ignore when carrying out energy acquisition relay reception to make an uproar Acoustical power；The energy collected in single time slot is relayed to be expressed as：
Eh=η Ps|h2|2,
Wherein, η expressions energy acquisition efficiency, 0<η<1, PsRepresent information source S transmit power, h2Represent information source S and relaying R Between channel parameter.
When relaying R is operated in information forwarding state, under identical power, information source S gives stay of two nights D to send signal xs, it is full FootWhen relaying R receives the signal of information source S transmissions, relaying R distributes the signal power received to ρ P and is used to adopt Collect energy, residue (1- ρ) P is used for useful information decoding forwarding, therefore the signal that R and D are received can be expressed as：
Wherein, ρ represents the power allocation factor in power energy collection, and P represents the signal power that relaying R is received, xr Represent the information of relaying R decoding forwardings, PrRepresent relaying R transmit power, h1Represent the channel ginseng between information source S and stay of two nights D Number, h3Represent the channel parameter between relaying R and stay of two nights D, h4Represent self-interference channel parameter, ndIt is equal to represent that stay of two nights D is received It is worth the additive white Gaussian noise for being 1 for 0 variance, nrRepresent that it is the additive Gaussian white noise that 0 variance is 1 to relay the average that R is received Sound；
Now, relaying the energy collected in single time slot can be expressed as：
Eh=η ρ (Ps|h2|2+Pr|h4|2)。
The working condition of communication system includes following three：
A, information source S are communicated with stay of two nights D, relay collecting energy；
The signal that now stay of two nights D is received is expressed as：
Stay of two nights D received signal to noise ratio is expressed as：
γ D=Ps|h1|2
Wherein, PsRepresent information source S transmit power, h1Represent the channel parameter between information source S and stay of two nights D, xsRepresent information source Transmission signals of the S to stay of two nights D；
B, information source S to stay of two nights D channels it is poor when, information source S is still carried out with stay of two nights D and communicated, relaying carry out decoding forwarding；
The signal that now stay of two nights D is received is expressed as：
Stay of two nights D received signal to noise ratio is expressed as：
Wherein, PrRepresent relaying R transmit power, h2Represent information source S and relay the channel parameter between R, h3Represent be Relay the channel parameter between R and stay of two nights D, h4What is represented is self-interference channel parameter, ndRepresent that the average that stay of two nights D is received is 0 Variance is 1 additive white Gaussian noise；ρ represents the power allocation factor in power energy collection, xrRepresent relaying R decoding forwardings Information；
C, whole system stop communication, and information source S sends energy signal to relaying R；
Now stay of two nights D received signal to noise ratio can be expressed as：
γD=0.
The present invention has the advantages that：
(1) present invention overcomes the shortcomings that relay forwarding power is unstable relative to traditional energy acquisition trunk protocol, So that the power of information that the stay of two nights receives relaying is more stable；
(2) traditional energy acquisition trunk protocol requires that relaying is involved in forwarding information at any time, even in the stay of two nights In the case of being correctly decoded, relaying remains engaged in forwarding；And the relaying in the present invention can be correctly decoded information in the stay of two nights When, a collecting energy not forwarding information, therefore can preferably save the energy；
(3) present invention is relative to traditional energy acquisition trunk protocol, in the medium transmission power of information source, the performance of system More preferably.
The present invention is described in further detail below in conjunction with drawings and Examples, but one kind of the present invention is based on energy shape The full duplex relaying transmission method of state is not limited to embodiment.
Brief description of the drawings
Fig. 1 is the model of communication system figure of the present invention；
Fig. 2 is the flow chart of the inventive method；
Fig. 3 is the outage probability of the present invention with information source S transmit powers PsChanging trend diagram.
Embodiment
It is shown in Figure 1, a kind of full duplex relaying transmission method based on energy state, apply including information source S, relaying In the communication system of tri- nodes of R and destination D.The present invention is applied to some junction networks for being not easy to wired energy supply, such as nothing Line sensor network etc..In present networks, information source S, the stay of two nights D configuration single antenna, relaying R configure two antennas.In present networks The node that R is an energy constraint is relayed, i.e., no power supply is powered.Therefore, relaying R needs from the less radio-frequency in environment Energy is obtained in signal.In Fig. 1, S → D, S → R and R → D fading channel coefficients are expressed as h1、h2And h3。h4What is represented is certainly Interference fading channel coefficients.
It is shown in Figure 2, a kind of full duplex relaying transmission method based on energy state, comprise the following steps：
Step 1, information source S sends test pilot signal to stay of two nights D, and stay of two nights D receives test pilot signal and calculates its letter Make an uproar ratio；
Step 2, stay of two nights D by its received signal to noise ratio with needed for it is decoded compared with minimum signal to noise ratio；If it receives letter Make an uproar than decoding required signal-to-noise ratio T more than minimum, then perform step 3, otherwise perform step 4；
Step 3, stay of two nights D is to information source S feedback signals " 1 ", after information source S receives the signal " 1 " of stay of two nights D transmissions with relaying R, Information source S starts to communicate with stay of two nights D, relays R collecting energies；
Step 4, stay of two nights D after information source S receives the signal " 0 " of feedback with relaying R, relays R to information source S feedback signals " 0 " Start to estimate self-energy, if relaying R self-energies are more than predetermined threshold value, perform step 5, otherwise perform step 6；
Step 5, relay R and send signal " 10 " to information source S and stay of two nights D, information source S and stay of two nights D is received from relaying R's After " 10 " signal, information source S starts to communicate with stay of two nights D, relays R forwarding informations；
Step 6, relay R and send signal " 01 " to information source S and stay of two nights D, information source S and stay of two nights D is received from relaying R's After " 01 " signal, system break communication, information source S sends energy signal to relaying R.
By above-mentioned steps it is recognised that relaying may be operated in following two states：
(1) it is operated in charged state
When relaying R is operated in charged state, relays the information that will be received and be completely used for collecting energy.Due to noise work( Rate relative signal power is smaller, so ignoring the noise power that relay reception arrives when carrying out energy acquisition.Therefore, relay The energy collected in single time slot can be expressed as:
Eh=η Ps|h2|2,
Wherein η (0<η<1) energy acquisition efficiency, P are representedsRepresent be information source S transmit power, h2That represent is information source S With the channel parameter between relaying R.
(2) it is operated in information forwarding state
Under identical power, information source S sends signal xs to stay of two nights D, meetsRelaying R receives information source S During the signal of transmission, the signal power received distribution ρ P are used for collecting energy by relaying R, and residue (1- ρ) P is used for useful information Decoding forwarding.Therefore the signal that relaying R and stay of two nights D is received can be expressed as：
Wherein, ρ represents the power allocation factor in power energy collection, and P represents the signal power that relaying R is received, xr Represent the information of relaying R decoding forwardings, PrRepresent relaying R transmit power, h1Represent the channel ginseng between information source S and stay of two nights D Number, h3Represent the channel parameter between relaying R and stay of two nights D, h4Represent self-interference channel parameter, ndIt is equal to represent that stay of two nights D is received It is worth the additive white Gaussian noise for being 1 for 0 variance, nrRepresent that it is the additive Gaussian white noise that 0 variance is 1 to relay the average that R is received Sound (AWGN).
Now relaying the energy collected in single time slot can be expressed as：
Eh=η ρ (Ps|h2|2+Pr|h4|2)。
By above-mentioned analysis it is understood that whole system may be operated in following three states：
A, information source S are communicated with stay of two nights D, relay collecting energy；
The signal that now stay of two nights D is received is expressed as：
Stay of two nights D received signal to noise ratio is expressed as：
γD=Ps|h1|2
Wherein, PsRepresent information source S transmit power, h1Represent the channel parameter between information source S and stay of two nights D, xsRepresent information source Transmission signals of the S to stay of two nights D；
B, information source S to stay of two nights D channels it is poor when, information source S is still carried out with stay of two nights D and communicated, relaying carry out decoding forwarding；
The signal that now stay of two nights D is received is expressed as：
Stay of two nights D received signal to noise ratio is expressed as：
Wherein, PrRepresent relaying R transmit power, h2Represent information source S and relay the channel parameter between R, h3Represent be Relay the channel parameter between R and stay of two nights D, h4What is represented is self-interference channel parameter, ndRepresent that the average that stay of two nights D is received is 0 Variance is 1 additive white Gaussian noise；ρ represents the power allocation factor in power energy collection, xrRepresent relaying R decoding forwardings Information；
C, whole system stop communication, and information source S sends energy signal to relaying R；
Now stay of two nights D received signal to noise ratio can be expressed as：
γD=0.
It is illustrated in figure 3 the Monte-Carlo analogous diagrams of outage probability.Energy acquisition utilization rate η=0.5 is set in emulation, Power allocation factor ρ=0.5.Set simultaneouslyT=23-1,Eth=25J, Pc=10W, Pr=Eth-Pc(PcFor circuit loss power).It can be found that next host-host protocol proposed by the invention is better than in medium transmit power Existing power distribution energy acquisition agreement.From figure it is also found that when information source S transmit power is smaller, energy cut-off Value is smaller to interrupting impact probability.During the medium transmit powers of information source S, threshold value is smaller, and the systematic function obtained is better.And During high transmit power, threshold value is bigger, and the performance of system is better.Because in mid power, if threshold value is too high, relay The probability of the energy condition reached also can be smaller so the performance of system acquisition is also poor.And when transmit power is higher, relaying The probability of the energy condition reached levels off to 1, so the impact probability that threshold size reaches energy condition to relaying is smaller, and increases Big threshold value, in PcEquivalent to the transmit power for increasing relaying in the case of constant, so performance is relatively preferable.
Described above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art For member, under the premise without departing from the principles of the invention, some improvement can also be made, these improvement also should be regarded as the present invention's Protection domain.

Claims (6)

  1. A kind of 1. full duplex relaying transmission method based on energy state, it is characterised in that apply including information source S, relaying R and In the communication system of tri- nodes of destination D, the relaying is passive bus, and methods described includes：
    Step 1, information source S sends test pilot signal to stay of two nights D, and stay of two nights D receives test pilot signal and calculates its signal to noise ratio；
    Step 2, stay of two nights D by its received signal to noise ratio with needed for it is decoded compared with minimum signal to noise ratio；If its received signal to noise ratio Required signal-to-noise ratio T is decoded more than minimum, then performs step 3, otherwise performs step 4；
    Step 3, stay of two nights D is to information source S feedback signals " 1 ", after information source S receives the signal " 1 " of stay of two nights D transmissions with relaying R, information source S starts to communicate with stay of two nights D, relays R collecting energies；
    Step 4, stay of two nights D is to information source S feedback signals " 0 ", and after information source S receives the signal " 0 " of feedback with relaying R, relaying R starts Self-energy is estimated, if relaying R self-energies are more than predetermined threshold value, performs step 5, otherwise performs step 6；
    Step 5, relay R and send signal " 10 " to information source S and stay of two nights D, information source S and stay of two nights D receives to be believed from relaying R " 10 " After number, information source S starts to communicate with stay of two nights D, relays R forwarding informations；
    Step 6, relay R and send signal " 01 " to information source S and stay of two nights D, information source S and stay of two nights D receives to be believed from relaying R " 01 " After number, system break communication, information source S sends energy signal to relaying R.
  2. 2. the full duplex relaying transmission method according to claim 1 based on energy state, it is characterised in that the information source Single antenna is configured with information destination node, via node configures two antennas.
  3. 3. the full duplex relaying transmission method according to claim 2 based on energy state, it is characterised in that relay R's Working condition includes being operated in charged state and is operated in information forwarding state.
  4. 4. the full duplex relaying transmission method according to claim 3 based on energy state, it is characterised in that as relaying R When being operated in charged state, relay the information that will be received and be completely used for collecting energy；
    Because noise power relative signal power is smaller, so ignoring the noise work(that relay reception arrives when carrying out energy acquisition Rate；The energy collected in single time slot is relayed to be expressed as：
    Eh=η Ps|h2|2,
    Wherein, η expressions energy acquisition efficiency, 0<η<1, PsRepresent information source S transmit power, h2Represent between information source S and relaying R Channel parameter.
  5. 5. the full duplex relaying transmission method according to claim 4 based on energy state, it is characterised in that as relaying R When being operated in information forwarding state, under identical power, information source S sends signal x to stay of two nights Ds, meetRelaying When R receives the signal of information source S transmissions, the signal power received distribution ρ P are used for collecting energy, residue (1- ρ) P by relaying R Decode and forward for useful information, therefore the signal that R and D are received can be expressed as：
    <mrow> <msub> <mi>y</mi> <mi>r</mi> </msub> <mo>=</mo> <msqrt> <msub> <mi>P</mi> <mi>s</mi> </msub> </msqrt> <msub> <mi>h</mi> <mn>2</mn> </msub> <msub> <mi>x</mi> <mi>s</mi> </msub> <mo>+</mo> <msqrt> <msub> <mi>P</mi> <mi>r</mi> </msub> </msqrt> <msub> <mi>h</mi> <mn>4</mn> </msub> <msub> <mi>x</mi> <mi>r</mi> </msub> <mo>+</mo> <msub> <mi>n</mi> <mi>r</mi> </msub> </mrow>
    <mrow> <msub> <mi>y</mi> <mi>d</mi> </msub> <mo>=</mo> <msqrt> <msub> <mi>P</mi> <mi>s</mi> </msub> </msqrt> <msub> <mi>h</mi> <mn>1</mn> </msub> <msub> <mi>x</mi> <mi>s</mi> </msub> <mo>+</mo> <msqrt> <msub> <mi>P</mi> <mi>r</mi> </msub> </msqrt> <msub> <mi>h</mi> <mn>3</mn> </msub> <msub> <mi>x</mi> <mi>r</mi> </msub> <mo>+</mo> <msub> <mi>n</mi> <mi>d</mi> </msub> </mrow>
    Wherein, ρ represents the power allocation factor in power energy collection, and P represents the signal power that relaying R is received, xrIn expression After the information of R decoding forwardings, PrRepresent relaying R transmit power, h1Represent the channel parameter between information source S and stay of two nights D, h3Table Show the channel parameter between relaying R and stay of two nights D, h4Represent self-interference channel parameter, ndRepresent that the average that stay of two nights D is received is 0 side Difference be 1 additive white Gaussian noise, nrRepresent that it is the additive white Gaussian noise that 0 variance is 1 to relay the average that R is received；
    Now, relaying the energy collected in single time slot can be expressed as：
    Eh=η ρ (Ps|h2|2+Pr|h4|2)。
  6. 6. the full duplex relaying transmission method according to claim 2 based on energy state, it is characterised in that communication system Working condition include following three：
    A, information source S are communicated with stay of two nights D, relay collecting energy；
    The signal that now stay of two nights D is received is expressed as：
    <mrow> <msub> <mi>y</mi> <mi>d</mi> </msub> <mo>=</mo> <msqrt> <msub> <mi>P</mi> <mi>s</mi> </msub> </msqrt> <msub> <mi>h</mi> <mn>1</mn> </msub> <msub> <mi>x</mi> <mi>s</mi> </msub> <mo>+</mo> <msub> <mi>n</mi> <mi>d</mi> </msub> </mrow>
    Stay of two nights D received signal to noise ratio is expressed as：
    γD=Ps|h1|2
    Wherein, PsRepresent information source S transmit power, h1Represent the channel parameter between information source S and stay of two nights D, xsRepresent that information source S gives Stay of two nights D transmission signal；
    B, information source S to stay of two nights D channels it is poor when, information source S is still carried out with stay of two nights D and communicated, relaying carry out decoding forwarding；
    The signal that now stay of two nights D is received is expressed as：
    <mrow> <msub> <mi>y</mi> <mi>d</mi> </msub> <mo>=</mo> <msqrt> <msub> <mi>P</mi> <mi>s</mi> </msub> </msqrt> <msub> <mi>h</mi> <mn>1</mn> </msub> <msub> <mi>x</mi> <mi>s</mi> </msub> <mo>+</mo> <msqrt> <msub> <mi>P</mi> <mi>r</mi> </msub> </msqrt> <msub> <mi>h</mi> <mn>3</mn> </msub> <msub> <mi>x</mi> <mi>r</mi> </msub> <mo>+</mo> <msub> <mi>n</mi> <mi>d</mi> </msub> </mrow>
    Stay of two nights D received signal to noise ratio is expressed as：
    <mrow> <msub> <mi>&amp;gamma;</mi> <mi>D</mi> </msub> <mo>=</mo> <mi>m</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>&amp;rho;</mi> <mo>)</mo> <msub> <mi>P</mi> <mi>s</mi> </msub> <mo>|</mo> <msub> <mi>h</mi> <mn>2</mn> </msub> <msup> <mo>|</mo> <mn>2</mn> </msup> </mrow> <mrow> <mn>1</mn> <mo>+</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>&amp;rho;</mi> <mo>)</mo> </mrow> <msub> <mi>P</mi> <mi>r</mi> </msub> <mo>|</mo> <msub> <mi>h</mi> <mn>4</mn> </msub> <msup> <mo>|</mo> <mn>2</mn> </msup> </mrow> </mfrac> <mo>,</mo> <msub> <mi>P</mi> <mi>r</mi> </msub> <mo>|</mo> <msub> <mi>h</mi> <mn>3</mn> </msub> <msup> <mo>|</mo> <mn>2</mn> </msup> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>P</mi> <mi>s</mi> </msub> <mo>|</mo> <msub> <mi>h</mi> <mn>1</mn> </msub> <msup> <mo>|</mo> <mn>2</mn> </msup> </mrow>
    Wherein, PrRepresent relaying R transmit power, h2Represent information source S and relay the channel parameter between R, h3What is represented is relaying Channel parameter between R and stay of two nights D, h4What is represented is self-interference channel parameter, ndRepresent that the average that stay of two nights D is received is 0 variance For 1 additive white Gaussian noise；ρ represents the power allocation factor in power energy collection, xrRepresent the letter of relaying R decoding forwardings Breath；
    C, whole system stop communication, and information source S sends energy signal to relaying R；
    Now stay of two nights D received signal to noise ratio can be expressed as：
    γD=0.
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