CN107835043B - Method for rapidly evaluating information transmission interruption probability in wireless power supply communication - Google Patents
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Abstract
The invention discloses a method for rapidly evaluating information transmission interruption probability in wireless power supply communication, which is characterized by comprising the following steps: 1) MIMO transmission WET, realizing WET through MINO technology: carrying out precoding processing on the PB, and then sequentially carrying out transmitting end mapping, MIMO transmission and receiving end mapping processing to obtain a wireless node energy signal; 2) MIMO transmission WIT, WIT is realized through MINO technology: the method comprises the steps that MIMO is adopted to transmit information signals from a wireless node to an access point, and the signal-to-interference ratio of the information signals received by the wireless node is obtained by using the same beam forming method as WET; 3) information transmission interruption probability: and calculating to obtain the expected value of the WIT information transmission interruption probability. The advantages are that: the invention can accurately and quickly evaluate the information transmission interruption probability of the system and reveal the influence of the system parameters of the network on the information transmission interruption probability.
Description
Technical Field
The invention relates to a method for rapidly evaluating information transmission interruption probability in wireless power supply communication, and belongs to the technical field of energy acquisition in wireless communication.
Background
And the wireless nodes transmit the energy for the wireless nodes by considering the large-scale distributed PB, and transmit the information by using the acquired energy to upload the information to the access point. The PB, the wireless node and the access point are all provided with a plurality of antennas for transmission. The overall communication process is divided into two phases, the first phase is a WET process from the PB to the wireless node, and the second phase is a WIT process from the wireless node to the access point. In the WIT process of the second stage, the co-channel interference suffered by the access point is also considered in the network model, and the interference source is other wireless nodes randomly distributed around the access point. Based on the network model described above, it is a more complex objective to obtain the information transmission interruption probability of WIT, and usually software is used to perform a monte carlo simulation to obtain the expected value of the information transmission interruption probability. If the network is large, the simulation process consumes a lot of computing resources and running time.
The radio frequency signal energy acquisition technology can convert a wireless signal received by the wireless equipment into electric energy, the wireless equipment can obtain continuous and stable electric energy supply without connecting a power grid or replacing a battery, and the converted electric energy is used for signal processing and signal transmission. The process of energy harvesting is commonly referred to as Wireless Energy Transfer (WET), because it can significantly increase the lifetime of low power wireless devices and reduce the energy limitation bottleneck in wireless communication, WET has received extensive attention from both academic and industrial circles and is considered as a promising technology in next-generation mobile communication systems.
In order to realize the fusion of WET and Wireless Information Transmission (WIT), an energy beacon (PB) is used as a special transmitting terminal of an energy signal and specially used for WET to a wireless node, and the wireless node finishes the WIT by collecting and storing energy. Because the WET and the WIT are split into two-step transmission, and the PB and the information signal receiving and transmitting ends are independent, the PB-assisted WPC network is more convenient to deploy, and the WET and WIT are more closely associated. Therefore, the PB can be deployed in the WPC network on a large scale to suppress its "double near far" problem, and realize efficient transmission of WET and high interruption probability transmission of WIT.
The random geometric theory can effectively depict the random distribution of large-scale node position information in the network, and when the network nodes are randomly distributed in a certain area, the Poisson Point Process (PPP) can not only accurately describe the random distribution characteristics of the nodes, but also provide conditions for obtaining a mathematical analysis solution of network performance indexes.
To increase the transmission rate of the energy signal and the information signal, Multiple Input Multiple Output (MIMO) technology may be employed in the wireless power communication network. By installing a plurality of antennas on terminal equipment such as a PB, a wireless node, an access point and the like, the transmission signal-to-interference-and-noise ratio of an energy signal and an information signal is greatly improved.
Disclosure of Invention
The technical problem to be solved by the invention is to overcome the defects of the prior art and provide a method for rapidly evaluating the information transmission interruption probability in wireless power supply communication, which not only can rapidly obtain the performance index of a system, but also can reveal the influence of network parameters on the information transmission interruption probability.
In order to solve the above technical problem, the present invention provides a method for rapidly evaluating an information transmission interruption probability in wireless power supply communication, which is characterized by comprising the following steps:
1) MIMO transmission WET, realizing WET through MINO technology: carrying out precoding processing on the PB, and then sequentially carrying out transmitting end mapping, MIMO transmission and receiving end mapping processing to obtain a wireless node energy signal;
2) MIMO transmission WIT, WIT is realized through MINO technology: the method comprises the steps that MIMO is adopted to transmit information signals from a wireless node to an access point, and the signal-to-interference ratio of the information signals received by the wireless node is obtained by using the same beam forming method as WET;
3) information transmission interruption probability: and calculating to obtain the expected value of the WIT information transmission interruption probability.
Further, in step 1), it is assumed that the ith PB and the wireless node can obtain instant channel information, i.e. the channel matrix HiAnd i is 1, 2 and 3 … …, PB performs precoding processing, and maps the energy signal x to be transmitted to ViForming an energy emission signal V on a vectorix, wherein, ViFor transmission matrix HiRight singular vectors corresponding to the maximum eigenvalues after singular value decomposition; energy emission signal Vix is sent to the wireless node after passing through the MIMO channel to form an energy receiving signal HiVix, wireless node utilizes transmission matrix HiLeft singular vector U ofiReceiving the received energy as a received signal HiViMapping x to UiTo obtain the processed received signal as UiHiVix; the electromagnetic energy received by the wireless node is
The energy collection efficiency of the wireless node is mu, tau is the time share allocated to WET in a time frame, and lambdaiRepresenting a transmission matrix HiWhere Φ denotes the set of all energy beacons, P denotes the transmission power of the energy beacons, r denotes the maximum eigenvalue ofiIndicating from the ith energy beacon to wirelessThe geometric distance of the terminals, α, is the path loss coefficient.
Further, the maximum eigenvalue
Further, in step 2), MIMO is adopted to transmit information signals from the wireless node to the access point, the MIMO channel to be transmitted can be represented as a matrix W, and the signal-to-interference ratio of the information signals received by the wireless node is equal to that of the information signals received by the wireless node by using the same beamforming method as WET
Wherein λ0Is the maximum eigenvalue, r, corresponding to the channel matrix W0I is the transmission distance of the information signal and I is the power of co-channel interference.
Further, the power I of the co-channel interference is estimated by a variable distributed in Gamma, and two adjustable parameters K and θ of the variable are expressed as:
wherein r iscRepresenting the closest distance of the interferer from the access node, P ' representing the transmit power of the interferer, α ' representing the path loss parameter of the interfering signal, and ρ ' representing the distribution density of the interferer.
Further, in step 3), the expected value R of the information transmission interruption probability of the WIT is obtained by the following formula:
wherein the content of the first and second substances,
in the above equation, M∈(s) represents a power generation equation for the received energy signal, ρ represents the distribution density of PB, Cb,c,kAnd Cn,l,m,βFor the constant obtained by parameter calculation, the number of transmitting antennas at PB end is set as NpThe number of transmitting antennas of the wireless node is NsThe number of transmitting antennas of the access point is NdThen in the expression of constant T, u is sequentially increased from 1 to min (N)p,Ns) V is max (N) in sequencep,Ns)-min(Np,Ns) Increase to (max (N)p,Ns)+min(Np,Ns))u-2u2K increases from 1 to v +1, du,vRepresenting the coefficients for each u, v pair,
denotes the number of combinations to find the different k numbers from the v +1 numbers, Beta denotes the Beta equation, and at Cn,l,m,βIn the above, N is sequentially increased from 1 to min (N)d,Ns) L is sequentially from max (N)d,Ns)-min(Nd,Ns) Increase to (max (N)d,Ns)+min(Nd,Ns))l-2l2M increases from 0 to l, β increases from 0 to 40, and z, x represent the variables being integrated.
The invention achieves the following beneficial effects:
compared with simulation based on a large-scale network model, the numerical solution which is very close to the Monte Carlo simulation result can be obtained by utilizing the formula provided above to test the information transmission interruption probability, the calculation time is greatly shortened, and the reduction degree is increased along with the increase of the network scale.
Drawings
Fig. 1 is a relationship between information transmission interruption probability and PB distribution density.
Detailed Description
The invention is further described below with reference to the accompanying drawings. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present invention is not limited thereby.
A method for rapidly evaluating the information transmission interruption probability in wireless power supply communication is characterized by comprising the following steps:
1) MIMO transmission WET, realizing WET through MINO technology: carrying out precoding processing on the PB, and then sequentially carrying out transmitting end mapping, MIMO transmission and receiving end mapping processing to obtain a wireless node energy signal;
2) MIMO transmission WIT, WIT is realized through MINO technology: the method comprises the steps that MIMO is adopted to transmit information signals from a wireless node to an access point, and the signal-to-interference ratio of the information signals received by the wireless node is obtained by using the same beam forming method as WET;
3) information transmission interruption probability: and calculating to obtain the expected value of the WIT information transmission interruption probability.
Said step 1), it is assumed that the ith PB and the wireless node can both obtain instant channel information, i.e. channel matrix HiAnd i is 1, 2 and 3 … …, PB performs precoding processing, and maps the energy signal x to be transmitted to ViForming an energy emission signal V on a vectorix, wherein, ViFor transmission matrix HiRight singular vectors corresponding to the maximum eigenvalues after singular value decomposition; energy emission signal Vix is sent to the wireless node after passing through the MIMO channel to form an energy receiving signal HiVix, wireless node utilizes transmission matrix HiLeft singular vector U ofiReceiving the received energy as a received signal HiViMapping x to UiTo obtain the processed received signal as UiHiVix; the electromagnetic energy received by the wireless node is
The energy collection efficiency of the wireless node is muτ is the time fraction allocated to WET in a time frame, λiRepresenting a transmission matrix HiWhere Φ denotes the set of all energy beacons, P denotes the transmission power of the energy beacons, r denotes the maximum eigenvalue ofiRepresenting the geometric distance from the ith energy beacon to the wireless terminal, α is the path loss coefficient.
The maximum eigenvalue
Said step 2), MIMO is adopted to transmit information signals from the wireless node to the access point, the transmitted MIMO channel can be represented as a matrix W, the same beamforming method as WET is utilized, and the signal-to-interference ratio of the information signals received by the wireless node is
Wherein λ0Is the maximum eigenvalue, r, corresponding to the channel matrix W0I is the transmission distance of the information signal and I is the power of co-channel interference.
The power I of the co-channel interference is estimated through a variable distributed in a Gamma mode, and two adjustable parameters K and theta of the variable are expressed as follows:
wherein r iscRepresenting the closest distance of the interferer from the access node, P ' representing the transmit power of the interferer, α ' representing the path loss parameter of the interfering signal, and ρ ' representing the distribution density of the interferer.
Said step 3), the expected value R of the information transmission outage probability of WIT is obtained by the following formula:
wherein the content of the first and second substances,
in the above equation, M∈(s) denotes a power generation equation with respect to the received energy signal, ρ denotes a distribution density of PB, and Cb,c,kAnd Cn,l,m,βFor the constant obtained by parameter calculation, the number of transmitting antennas at PB end is set as NpThe number of transmitting antennas of the wireless node is NsThe number of transmitting antennas of the access point is NdThen in the expression of constant T, u is sequentially increased from 1 to min (N)p,Ns) V is sequentially from max (N)p,Ns)-min(Np,Ns) Increase to (max (N)p,Ns)+min(Np,Ns))u-2u2K increases from 1 to v +1, du, v in turn, representing the coefficients for each u, v pair (this coefficient is already in the literature [ g.amarasuriya, etc., IEEE trans. commun., vol.60, No.7, pp.1823-1837, July 2012]Given in (1),
denotes the number of combinations to find the different k numbers from the v +1 numbers, Beta denotes the Beta equation, and at Cn,l,m,βIn the above, N is sequentially increased from 1 to min (N)d,Ns) L is sequentially from max (N)d,Ns)-min(Nd,Ns) Increase to (max (N)d,Ns)+min(Nd,Ns))l-2l2M increases from 0 to l, β increases from 0 to 40, and z, x represent the variables being integrated.
Example (b): in a simulation test environment, a wireless sensor network is simulated, and a plurality of PPP-compliant random numbers are randomly distributed and deployed in the networkThe model PB transmits energy signals to the wireless sensors through beam forming by using multiple antennas, one wireless sensor collects energy signals transmitted from the surrounding PB and uploads information to the wireless access point by using stored electric energy, and assuming that the energy conversion efficiency of the rectifying circuit is 60%, the path loss coefficient α is 3, and r is equal toc＝800m，P′＝0.5W。
By adopting the method disclosed by the invention, the simulation effect is as follows:
suppose that the PB end is configured with 2 antennas and the wireless nodes are respectively configured with 2 antennas, the distribution density of PB is gradually increased from 10-5m2Increases to 10 in turn-3m2And as a comparison group to change the transmission power of PB in the system, it can be seen in fig. 1 that the analytic solution of the information transmission interruption probability given based on this method is highly identical to the result of the numerical solution obtained through a large number of Monte Carlo simulations, and in the figure, the result given based on this method is indicated by a dotted line and the result based on Monte Carlo simulation is indicated by a solid line. And along with the increase of the distribution density of the PB, when the method is applied to energy transmission, the information transmission interruption probability of the system is also obviously improved.
The above description is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, several modifications and variations can be made without departing from the technical principle of the present invention, and these modifications and variations should also be regarded as the protection scope of the present invention.
Claims (3)
1. A method for rapidly evaluating the information transmission interruption probability in wireless power supply communication is characterized by comprising the following steps:
1) MIMO transmission WET, the WET is realized through the MIMO technology: precoding an energy beacon PB, and then sequentially carrying out transmitting end mapping, MIMO transmission and receiving end mapping to obtain a wireless node energy signal;
suppose that the ith PB and the wireless node can both obtain instant channel information, i.e. the channel matrix HiAnd i is 1, 2 and 3 … …, and PB performs precoding processing to the energy to be transmittedSignal x is mapped to ViForming an energy emission signal V on a vectorix, wherein, ViFor transmission matrix HiRight singular vectors corresponding to the maximum eigenvalues after singular value decomposition; energy emission signal Vix is sent to the wireless node after passing through the MIMO channel to form an energy receiving signal HiVix, wireless node utilizes transmission matrix HiLeft singular vector U ofiReceiving the received energy as a received signal HiViMapping x to UiTo obtain the processed received signal as UiHiVix; the electromagnetic energy received by the wireless node is
The energy collection efficiency of the wireless node is mu, tau is the time share allocated to WET in a time frame, and lambdaiRepresenting a transmission matrix HiWhere Φ represents the set of all energy beacons, P represents the transmit power of the energy beacons, riRepresenting the geometric distance from the ith energy beacon to the wireless terminal, α being the path loss coefficient;
2) MIMO transmission WIT, WIT is realized through MIMO technology: the method comprises the steps that MIMO is adopted to transmit information signals from a wireless node to an access point, and the signal-to-interference ratio of the information signals received by the wireless node is obtained by using the same beam forming method as WET;
information signals are transmitted from the wireless node to the access point by adopting MIMO, the transmitted MIMO channel can be represented as a matrix W, the beamforming method is the same as that of WET, and the signal-to-interference ratio of the information signals received by the wireless node is
Wherein λ0Is the maximum eigenvalue, r, corresponding to the channel matrix W0Is the transmission distance of the information signal, I is the power of co-channel interference;
3) information transmission interruption probability: obtaining an expected value of the WIT information transmission interruption probability through calculation;
the power I of the co-channel interference is estimated through a variable distributed in a Gamma mode, and two adjustable parameters K and theta of the variable are expressed as follows:
wherein r iscRepresenting the closest distance of the interferer from the access node, P ' representing the transmit power of the interferer, α ' representing the path loss parameter of the interfering signal, and ρ ' representing the distribution density of the interferer.
2. The method of claim 1, wherein the maximum eigenvalue is a maximum eigenvalue of a probability of information transmission interruption in a wireless power communication system
3. The method as claimed in claim 1, wherein the expected value R of the information transmission interruption probability in the WIT in the step 3) is obtained by the following formula:
wherein the content of the first and second substances,
in the above equation, M∈(s) represents a power generation equation for the received energy signal, ρ represents the distribution density of PB, Cb，c，kAnd Cn，l，m，βFor the constant obtained by parameter calculation, the number of transmitting antennas at PB end is set as NpThe number of transmitting antennas of the wireless node is NsThe number of transmitting antennas of the access point is NdThen in the expression of constant T, u is sequentially increased from 1 to min (N)p，Ns) V is sequentially from max (N)p，Ns)-min(Np，Ns) Increase to (max (N)p，Ns)+min(Np，Ns))u-2u2K increases from 1 to v +1, du，vRepresenting the coefficients for each u, v pair,
denotes the number of combinations to find the different k numbers from the v +1 numbers, Beta denotes the Beta equation, and at Cn，l，m，βIn the above, N is sequentially increased from 1 to min (N)d，Ns) L is sequentially from max (N)d，Ns)-min(Nd，Ns) Increase to (max (N)d，Ns)+min(Nd，Ns))l-2l2M increases from 0 to l in turn, β increases from 0 to 40.
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