CN111132300B - Cooperative communication system based on Rayleigh channel energy collection - Google Patents
Cooperative communication system based on Rayleigh channel energy collection Download PDFInfo
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- CN111132300B CN111132300B CN202010051054.6A CN202010051054A CN111132300B CN 111132300 B CN111132300 B CN 111132300B CN 202010051054 A CN202010051054 A CN 202010051054A CN 111132300 B CN111132300 B CN 111132300B
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- 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
- H04W52/30—TPC using constraints in the total amount of available transmission power
- H04W52/34—TPC management, i.e. sharing limited amount of power among users or channels or data types, e.g. cell loading
- H04W52/346—TPC management, i.e. sharing limited amount of power among users or channels or data types, e.g. cell loading distributing total power among users or channels
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- 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
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- 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
Abstract
The invention discloses a cooperative communication system based on Rayleigh channel energy collection, which comprises a source node s, a half-duplex relay node r, a destination node d, an energy source node b and a eavesdropping node e. The method comprises the steps that no direct link exists between a source node s and a destination node d, a relay node r receives data of the source node s and forwards the data to the destination node d, the relay node r is limited in energy, energy is collected from an energy source node b, the data of the source node s are received after the energy is collected, the collected information is decoded and forwarded to the destination node d by utilizing all the collected energy, and the interruption probability P of a relay cooperative communication system is analyzed and calculated according to Rayleigh distribution characteristics of an energy collection channel Rout Calculating a time allocation factor alpha for minimizing the outage probability by employing a dead point iterative method o Determining the energy collection time alpha of the relay node according to the time distribution factor 0 T, information reception time (1-alpha 0 ) T/2 and information transmission time (1-alpha 0 ) T/2, the interrupt probability of the relay cooperative communication system is minimum, and the performance of the cooperative communication system is optimal.
Description
Technical Field
The invention relates to a cooperative communication system based on Rayleigh channel energy collection, in particular to a cooperative communication system based on energy collection, which utilizes the statistical characteristics of Rayleigh distributed energy collection channels to select reasonable energy collection, information receiving and information transmission time through analysis and calculation so as to minimize interruption probability.
Background
In wireless communication network systems, it is often difficult to replace a battery once the device battery is depleted, because the relay node is limited in energy. While energy harvesting (energy harvesting, EH) technology is capable of providing an almost unlimited supply of energy to an energy-constrained network. The energy collection cooperative communication network can improve the data transmission rate to a certain extent, save energy and prolong the working time of the system, so the energy collection relay network has attracted wide attention and application. In relay networks, time-shift strategies are a common energy harvesting technique. How to determine the time proportion distribution among the energy collection, the information receiving and the information sending, and improve the performance of the relay cooperative communication system is a very critical technology. If a system, method or technology can be found, the time for energy collection can be determined to ensure that the interruption probability of the relay cooperative communication is minimum, and the system, method or technology must obviously improve the performance of the relay cooperative communication system.
Disclosure of Invention
The purpose of the invention is that: a collaborative communication system (such as the communication system shown in fig. 1) based on Rayleigh channel energy collection is designed, and the statistical characteristics of the energy collection channels are utilized to analyze and calculate the energy collection time proportion capable of minimizing the interruption probability of the whole collaborative communication system, so that the optimal performance of the collaborative communication system based on energy collection is ensured.
The technical scheme of the invention is as follows: the cooperative communication system based on Rayleigh channel energy collection comprises a source node s, a half-duplex relay node r, a destination node d, an energy source node b and a eavesdropping node e, wherein a direct link does not exist between the source node s and the destination node d, the relay node r receives data of the source node s and forwards the data to the destination node d, the relay node r has limited energy, energy is collected from the energy source node b, the data of the source node s are received after the energy is collected, all the collected energy is utilized to decode and forward the collected information to the destination node d, the overall time for completing one data transmission by the relay node r is T, the energy collection time is alpha T, the information receiving time is (1-alpha) T/2, the information transmitting transmission time is (1-alpha) T/2, alpha represents a time distribution factor, and the time distribution factor alpha is determined according to the following steps:
step one: determining that the relay node collects energy: in the 1 st time slot alpha T, the relay node r collects the radiation energy of the energy source node b, and the relay node collects the energy E in the alpha T time h Can be expressed as: e (E) h ＝ηP b |h br | 2 αT, where η represents the conversion efficiency of the energy harvesting systemThe ratio, the value range is more than 0 and less than 1, and the actual size depends on the rectification process and the energy acquisition circuit; p (P) b An average transmission power for the energy source node b; h is a br For the channel gain from energy source b to relay node r, the energy collection channel obeys a mean of 0 and a variance of
Rayleigh distribution of (2);
step two: determining a relay node received signal model: in the 2 nd time slot (1-alpha) T/2, the source node s sends information to the relay node r, and the relay node r receives the signal y r Can be expressed as:
wherein P is s Represents the average transmit power of the source node, h sr For the channel gain from source node s to relay node r, the obeying mean is 0, the variance is +.>
Rayleigh distribution, x s Data sent for a source node and satisfies E { |x s | 2 }＝1，n r Band-limited additive white gaussian noise received by relay node, n r ～N(0,N 0 ) Wherein N is 0 Representing noise power spectral density or variance;
step three: determining a signal model received by a destination node and an eavesdropping node: in the 3 rd time slot (1-alpha) T/2, the relay node r uses the collected energy and adopts a decoding forwarding protocol (DF) protocol to forward the information of the source node s to the destination node d, after the relay node successfully decodes, the relay node forwards the data to the destination node, and then the destination node receives the signal y d Can be expressed as:
wherein P is r H is the average forwarding power of the relay node rd For the channel gain from the relay node r to the destination node d, the obeying mean is 0, the variance is +.>
Rayleigh distribution, x s Decoding data for the relay node, which is the same as the data sent by the source node, n d Band-limited additive white gaussian noise received for destination node, n d ～N(0,N 0 ) The method comprises the steps of carrying out a first treatment on the surface of the The energy collected by the relay node in the alpha T is all used for forwarding data in the 3 rd time slot, so that the average forwarding power of the relay node is
The destination node received signal may be further expressed as: />
Similar to the analysis process of the destination node, the received signal of the eavesdropping node e can be expressed as:
in the formula, h re For the channel gain from the relay node r to the eavesdropping node e, the obeying mean value is 0, and the variance is +.>
Rayleigh distribution, n e Band-limited additive white gaussian noise received for eavesdropping node, n e ～N(0,N 0 )；
Step four: reliability of a communication system is described by the probability of interruption when the receiver signal-to-noise ratio, SNR, of the system is less than a certain threshold signal-to-noise ratio threshold: interruption occurs when the transmission from the source node s to the relay node r or the transmission from the relay node r to the destination node d is unsuccessful, so the interruption probability depends on the minimum one of the two; the energy collection channel obeys Rayleigh distribution, the performance of the receiver of the relay node r is consistent with that of the receiver of the destination node d, and the outage probability from the source node s to the destination node d is as follows
Is obtained by derivation
K in the formula 1 (. Cndot.) represents a first order modified Bessel function;
step five: calculating the outage probability under the high signal-to-noise ratio: in the case where x tends to zero, K 1 (x) Can be approximated as
Wherein delta is equal to 0.57721, the interruption probability P of the destination node is a fixed constant Rout Can be approximated as
Step six: calculating optimal time allocation factor alpha by using Steffensen iteration method o The specific algorithm is as follows
Where f (x) is P at high SNR Rout 。
The invention has the beneficial effects that the invention provides a high-performance cooperative communication system based on Rayleigh channel energy collection, and the outage probability P of the relay cooperative communication system is analyzed and calculated according to the distribution characteristics of the energy collection channels Rout Calculating a time allocation factor alpha for minimizing the outage probability by employing a dead point iterative method o Determining the energy collection time alpha of the relay node according to the time distribution factor 0 T, information reception time (1-alpha 0 ) T/2 and information transmission time (1-alpha 0 ) T/2, the interrupt probability of the relay cooperative communication system is minimum, and the communication performance is optimal.
Drawings
Fig. 1 is a diagram of a relay cooperative communication system model based on rayleigh channel energy harvesting in accordance with the present invention.
Fig. 2 is a schematic diagram of a cooperative communication system according to the present invention, where the energy conversion efficiency η=0.5, the channel capacity threshold r=2, the signal-to-noise ratio snr=30, and the source node-to-relay node channel variance
Relay node to destination node channel variance +.>
Relay node to eavesdropping node channel variance +.>
Energy node to relay node channel->
And when the cooperative communication system is in use, a change curve graph of the interruption probability and the interception probability of the cooperative communication system along with the time allocation factor alpha is formed.
Fig. 3 shows a cooperative communication system according to the present invention, where the energy conversion efficiency η=0.5, the channel capacity threshold r=2, and the channel variance from the source node to the relay node
Relay node to destination node channel variance +.>
Relay node to eavesdropping node channel variance +.>
Energy node to relay node channel->
When the time distribution factors are respectively 0.01, 0.1, 0.2355, 0.35 and 0.5, the probability of interruption of the cooperative communication system changes along with the signal to noise ratioAnd (5) a chemical curve.
Fig. 4 shows a cooperative communication system according to the present invention, where the energy conversion efficiency η=0.5, the channel capacity threshold r=2, and the channel variance from the source node to the relay node
And when the time allocation factor alpha=0.5 when the energy node is 0.8 to the relay node channel, the cooperative communication system outage probability is changed along with the change curve of the signal to noise ratio.
Detailed Description
The invention will now be further described with reference to examples, figures:
the invention discloses a cooperative communication system based on Rayleigh channel energy collection, which is shown in fig. 1 and comprises a source node s, a half-duplex relay node r, a destination node d, an energy source node b and a eavesdropping node e. There is no direct link between the source node s and the destination node d, the relay node r receives the data of the source node s and forwards the data to the destination node d, the relay node r has limited energy, energy is collected from the energy source node b, the data of the source node s is received after the energy is collected, and then the collected information is decoded and forwarded to the destination node d by utilizing all the collected energy. The overall time for the relay node r to complete one-time data transmission is T, wherein the energy collection time is alpha T, the information receiving time is (1-alpha) T/2, the information transmitting transmission time is (1-alpha) T/2, alpha represents a time allocation factor, and the time allocation factor alpha is determined according to the following steps:
step one: determining that the relay node collects energy: in the 1 st time slot alpha T, the relay node r collects the radiation energy of the energy source node b, and the relay node collects the energy E in the alpha T time h Can be expressed as: e (E) h ＝ηP b |h br | 2 αT, wherein eta represents the conversion efficiency of the energy collection system, the value range is 0 < eta < 1, and the actual size depends on the rectification process and the energy collection circuit; p (P) b An average transmission power for the energy source node b; h is a br For the channel gain from energy source b to relay node r, the energy collection channel obeys a mean of 0 and a variance of
Rayleigh distribution of (2);
step two: determining a relay node received signal model: in the 2 nd time slot (1-alpha) T/2, the source node s sends information to the relay node r, and the relay node r receives the signal y r Can be expressed as:
wherein P is s Represents the average transmit power of the source node, h sr For the channel gain from source node s to relay node r, the obeying mean is 0, the variance is +.>
Rayleigh distribution, x s Data sent for a source node and satisfies E { |x s | 2 }＝1，n r Band-limited additive white gaussian noise received by relay node, n r ～N(0,N 0 ) Wherein N is 0 Representing noise power spectral density or variance;
step three: determining a signal model received by a destination node and an eavesdropping node: in the 3 rd time slot (1-alpha) T/2, the relay node r uses the collected energy and adopts a decoding forwarding protocol (DF) protocol to forward the information of the source node s to the destination node d. After the relay node successfully decodes, the relay node forwards the data to the destination node, and the destination node receives the signal y d Can be expressed as:
wherein P is r H is the average forwarding power of the relay node rd For the channel gain from the relay node r to the destination node d, the obeying mean is 0, the variance is +.>
Rayleigh distribution, x s Decoding data for the relay node, which is the same as the data sent by the source node, n d Band-limited additive white gaussian noise received for destination node, n d ～N(0,N 0 ) The method comprises the steps of carrying out a first treatment on the surface of the The energy collected by the relay node in the alpha T is all forwarded in the 3 rd time slotData, so the average forwarding power of the relay node is +.>
The destination node received signal may be further expressed as: />
Similar to the analysis process of the destination node, the received signal of the eavesdropping node e can be expressed as:
in the formula, h re For the channel gain from the relay node r to the eavesdropping node e, the obeying mean value is 0, and the variance is +.>
Rayleigh distribution, n e Band-limited additive white gaussian noise received for eavesdropping node, n e ～N(0,N 0 )；
Step four: reliability of a communication system is described by the probability of interruption when the receiver signal-to-noise ratio, SNR, of the system is less than a certain threshold signal-to-noise ratio threshold: interruption occurs when the transmission from the source node s to the relay node r or the transmission from the relay node r to the destination node d is unsuccessful, so the interruption probability depends on the minimum one of the two; the energy collection channel obeys Rayleigh distribution, the performance of the receiver of the relay node r is consistent with that of the receiver of the destination node d, and the outage probability from the source node s to the destination node d is as follows
Is obtained by derivation
K in the formula 1 (. Cndot.) represents a first order modified Bessel function;
step five: calculating the outage probability under the high signal-to-noise ratio:in the case where x tends to zero, K 1 (x) Can be approximated as
Wherein delta is equal to 0.57721, the interruption probability P of the destination node is a fixed constant Rout Can be approximated as
Step six: calculating optimal time allocation factor alpha by using Steffensen iteration method o Theoretically, alpha can be found o Minimizing the probability of disruption, but since the above equation is an overrun equation, the optimal time allocation factor alpha cannot be deduced by the general form o The calculation can be performed by adopting the fixed point iteration, the Steffensen iteration can lead most of non-convergence conditions to tend to converge, and the iteration speed is greatly accelerated, so the patent adopts the Steffensen iteration method, and the specific algorithm is as follows
Where f (x) is P at high SNR Rout 。
At the energy conversion efficiency η=0.5, the channel capacity threshold r=2, the signal-to-noise ratio snr=30, and the source node-to-relay node channel variance
Relay node to destination node channel variance +.>
Relay node to eavesdropping node channel variance
Energy node to relay node channel->
When the interruption probability and the interception probability of the cooperative communication system are different, the change curve of the distribution factor alpha of the interruption probability and the interception probability with time is shown as figure 2, and when the alpha is different, the interruption probability P of the cooperative communication system out Will change, the probability of interruption decreases as a increases, but P as a increases out With a concomitant increase. Probability of interception P for eavesdropping node int P as alpha increases int First rapidly increasing and then remaining substantially unchanged, P after alpha is greater than 0.4 int And then falls down.
At energy conversion efficiency η=0.5, channel capacity threshold r=2, source node to relay node channel variance
Relay node to destination node channel variance +.>
Relay node to eavesdropping node channel variance +.>
Energy node to relay node channel->
When the time allocation factors alpha are respectively selected from 0.01, 0.1, 0.2355, 0.35 and 0.5, the variation curve of the outage probability of the cooperative communication system along with the signal to noise ratio is shown in fig. 3, and it can be seen from the graph that the value of the time allocation factor alpha is closest to the optimal time allocation factor alpha obtained by the Steffensen iteration method 0 And when the cooperative communication system is in the state of the lowest interruption probability, the performance of the communication system is optimal.
At energy conversion efficiency η=0.5, channel capacity threshold r=2, source node to relay node channel variance
Energy node to Relay node channel variance +.>
When the time allocation factor α=0.5, the curve of the variation of the outage probability of the cooperative communication system with the signal to noise ratio is shown in fig. 4, and it can be seen from the graph that the Monte Carlo simulation curve and the theoretical analysis curve completely coincide, so that the correctness of the theoretical formula in the fourth step and the approximation formula in the fifth step is proved. And, for the channel h from the relay node to the destination node rd The variance of which takes different values can affect the outage performance of the collaborative communication system.
Of course, other embodiments of the invention are possible, and a person skilled in the art will be able to make corresponding changes according to the invention, which changes are intended to fall within the scope of the appended claims.
Claims (1)
1. The utility model provides a collaborative communication system based on rayleigh channel energy collection, includes source node s, half duplex relay node r, destination node d, energy source node b and eavesdropping node e, its characterized in that: the method comprises the steps that a direct link does not exist between a source node s and a destination node d, a relay node r receives data of the source node s and forwards the data to the destination node d, the relay node r is limited in energy, energy is collected from an energy source node b, the relay node receives the data of the source node s after the energy collection is finished, then the collected information is decoded and forwarded to the destination node d by utilizing all the collected energy, the total time for completing one data transmission by the relay node r is T, the energy collection time is alpha T, the information receiving time is (1-alpha) T/2, the information transmitting transmission time is (1-alpha) T/2, alpha represents a time distribution factor, and the time distribution factor alpha is determined according to the following steps:
step one: determining that the relay node collects energy: in the 1 st time slot alpha T, the relay node r collects the radiation energy of the energy source node b, and the relay node collects the energy E in the alpha T time h Can be expressed as: e (E) h ＝ηP b |h br | 2 αT, where η representsThe conversion efficiency of the energy collection system is in a value range of 0 < eta < 1, and the actual size depends on the rectification process and the energy collection circuit; p (P) b An average transmission power for the energy source node b; h is a br For the channel gain from energy source b to relay node r, the energy collection channel obeys a mean of 0 and a variance of
Rayleigh distribution of (2);
step two: determining a relay node received signal model: in the 2 nd time slot (1-alpha) T/2, the source node s sends information to the relay node r, and the relay node r receives the signal y r Can be expressed as:
wherein P is s Represents the average transmit power of the source node, h sr For the channel gain from source node s to relay node r, the obeying mean is 0, the variance is +.>
Rayleigh distribution, x s Data sent for a source node and satisfies E { |x s | 2 }＝1，n r Band-limited additive white gaussian noise received by relay node, n r ～N(0,N 0 ) Wherein N is 0 Representing noise power spectral density or variance;
step three: determining a signal model received by a destination node and an eavesdropping node: in the 3 rd time slot (1-alpha) T/2, the relay node r uses the collected energy and adopts a decoding forwarding protocol (DF) protocol to forward the information of the source node s to the destination node d, after the relay node successfully decodes, the relay node forwards the data to the destination node, and then the destination node receives the signal y d Can be expressed as:
wherein P is r H is the average forwarding power of the relay node rd For the channel gain from the relay node r to the destination node d, the obeying mean is 0, the variance is +.>
Rayleigh distribution, x s Decoding data for the relay node, which is the same as the data sent by the source node, n d Band-limited additive white gaussian noise received for destination node, n d ～N(0,N 0 ) The method comprises the steps of carrying out a first treatment on the surface of the The energy collected by the relay node in the alpha T is all used for forwarding data in the 3 rd time slot, so that the average forwarding power of the relay node is
The destination node received signal may be further expressed as: />
Similar to the analysis process of the destination node, the received signal of the eavesdropping node e can be expressed as:
in the formula, h re For the channel gain from the relay node r to the eavesdropping node e, the obeying mean value is 0, and the variance is +.>
Rayleigh distribution, n e Band-limited additive white gaussian noise received for eavesdropping node, n e ～N(0,N 0 )；
Step four: reliability of a communication system is described by the probability of interruption when the receiver signal-to-noise ratio, SNR, of the system is less than a certain threshold signal-to-noise ratio threshold: interruption occurs when the transmission from the source node s to the relay node r or the transmission from the relay node r to the destination node d is unsuccessful, so the interruption probability depends on the minimum one of the two; the energy collection channel obeys Rayleigh distribution, the performance of the receiver of the relay node r is consistent with that of the receiver of the destination node d, and the outage probability from the source node s to the destination node d is as follows
Derived and obtained
K in the formula 1 (. Cndot.) represents a first order modified Bessel function;
step five: calculating the outage probability under the high signal-to-noise ratio: in the case where x tends to zero, K 1 (x) Can be approximated as
Wherein delta is equal to 0.57721, the interruption probability P of the destination node is a fixed constant Rout Can be approximated as
Step six: calculating optimal time allocation factor alpha by using Steffensen iteration method o The specific algorithm is as follows
Where f (x) is P at high SNR Rout 。
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