CN104022990B - A kind of distributed beams based on sea wireless sense network form carrier phase synchronization method - Google Patents

Abstract

A kind of distributed beams based on sea wireless sense network form carrier phase synchronization method, belong to wireless sense network, distributed beams and form technical field.The present invention comes and goes the carrier synchronization method autgmentability not slow problem of Phase synchronization between strong and node to solve existing time slot, the problem of satellite can not be in time reached also for the smaller caused distribution light beam of single sensor power, also for the Doppler effect that signals transmission between suppression node occurs.Destination node sends single-frequency beacon signal to primary node and secondary node, and host node obtains host node modulated signal after being processed through phase identification of circuit；The single-frequency beacon signal that will first be received from node is sent to host node, is then forwarded to from node after being processed through host node, so as to be formed from node modulated signal；Host node modulated signal and from node modulated signal at destination node in-phase stacking, obtain power gain.The present disclosure additionally applies for radio sensing network.

Description

Distributed beam forming carrier phase synchronization method based on sea surface wireless sensor network

Technical Field

The invention belongs to the technical field of wireless sensor networks and distributed beam forming.

Background

The ocean is an important base for human beings to maintain survival and propagation and for society to realize sustainable development, the development of the ocean and the development of ocean economy are the necessary routes for the whole human beings to survive and develop the society, and in view of the importance of the ocean, the monitoring of ocean resources and environment becomes a hot spot for the research of countries in the world. The ocean information is generally transmitted by using a satellite as a relay, and different from the ocean and the land, a large base station cannot be erected on the sea surface to communicate with the satellite, and meanwhile, the base stations cannot be randomly distributed on the sea surface. The sensor nodes can be randomly distributed on the sea surface due to low cost and small volume, but the energy of a single sensor node is small, and the single sensor node cannot be directly communicated with a satellite, so that the sensor network and the satellite need to be directly communicated by utilizing a distributed (cooperative) beam forming remote transmission technology of a plurality of sensor nodes on the sea surface, and the core problem of the distributed beam forming is the synchronization of carrier phase and time.

The existing carrier phase synchronization schemes suitable for distributed beamforming mainly have two types: one of them is Scalable Feedback Control for Distributed Beamforming in sensor Networks proposed by r.munumbai et al. The method needs the destination node to carry out several times of proofreading judgment on the phase information of the source node, and finally selects an optimal result to carry out beam forming. Since such calibration needs to be performed many times, that is, the destination node and the source node need to perform frequent communication, it is only applicable to the case of short-range beam forming using an airplane or a terrestrial base station as a relay, and is not applicable to the case of direct communication between a sea surface sensor and a satellite.

The other is Time-Slotted Round-Trip carrier synchronization proposed by d.richard Brown et al. In the method, a destination node firstly sends phase information to all source nodes, and phase accumulation is carried out among the source nodes in time slots so as to obtain phase synchronization among the nodes. The method has the advantages that the source node does not need to frequently carry out phase correction with the destination node, but the source node adopts a linear structure, so the expansibility is not strong. In the sea surface wireless sensor network, the power of a single sensor is small, and the output distributed beams cannot reach a satellite, so that a large number of sensor nodes are needed for ensuring the rapidity of satellite communication, which is based on the problem to be solved urgently by the sea surface wireless sensor network.

Disclosure of Invention

The invention provides a distributed beam forming carrier phase synchronization method based on a sea surface wireless sensor network, which aims to solve the problems that the existing time slot round-trip carrier synchronization method is not strong in expansibility and slow in phase synchronization among nodes due to the fact that a source node adopts a linear structure when being applied to direct communication between a sea surface sensor and a satellite, solve the problem that distributed light beams cannot reach the satellite due to the fact that the power of a single sensor is small, and inhibit Doppler effect in the signal transmission process among the nodes due to the fact that the nodes of the sensor network move irregularly due to sea surface fluctuation.

A distributed beam forming carrier phase synchronization method based on a sea surface wireless sensor network is carried out under the condition of not considering frequency and phase estimation errors, and comprises the following steps:

step one, source Node_iAcquiring and storing data copy signals m (t), source Node_iMiddle Node₁Is a master Node, Node_KIs a slave node, wherein K is a positive integer greater than or equal to 2, i is a positive integer greater than or equal to 1, K ∈ i;

step two, the target Node D sends the source Node_iTransmitting a single frequency beacon signal x₀(t); source Node_iReceiving the single frequency beacon signal x₀(t) and forming a source node reception signal y_0i(t)；

Source node receiving signal y_0iY in (t)₀₁(t) indicates a master node reception signal, y_0K(t) represents receiving a signal from a node;

step three, the main Node₁Receiving signal y to the master node₀₁(t) processing the signal to obtain a main node carrier signal x₁₀(t), slave Node_KFor receiving signal y from node_0K(t) processing the signal to obtain a secondary node carrier signal x_K0(t)；

Step four, the master Node₁Loading the data copy signal m (t) on a main nodeWave signal x₁₀(t) obtaining a master node modulation signal s₁(t); slave Node_KLoading the data copy signal m (t) on a slave node carrier signal x_K0(t) obtaining a slave node modulation signal s_K(t)；

Step five, the master Node₁Modulating the master node with a signal s₁(t) sending to the target node D; slave Node_KModulating the slave node with a signal s_K(t) sending to the target node D;

step six, the target node D modulates the received main node modulation signal s₁(t) and a slave node modulation signal s_KAnd (t) superposing to obtain a target node modulation signal S (t).

The invention is also suitable for the wireless sensor network.

The invention has the beneficial effects that: the invention adopts a distributed beam forming environment, and the basic idea is to utilize the reciprocity characteristic on a two-way path and realize the inversion of path accumulation phase delay through the conjugation processing of signals on nodes, so that the phase delay generated on the two-way path is cancelled, thereby realizing the phase synchronization of the carrier signals of the distributed beam and forming the beam at a target node. In the invention, a source node adopts a master-slave structure mode, phase information of slave nodes is processed through a master node in a centralized manner and then fed back to the slave nodes to serve as slave node transmitting signal reference, phase delay is generated on a bidirectional reciprocal path to cancel inversion, and phase alignment of signals on carrier frequency points is realized, so that phase synchronization of transmitting signals of all nodes at a target is realized, superposition is realized to generate beam gain, expandability is strong, and distributed beams reach a satellite.

Drawings

FIG. 1 is a schematic diagram of the present invention;

FIG. 2 is a block flow diagram of the method of the present invention;

FIG. 3 is a circuit diagram of phase discrimination;

FIG. 4 is a graph of power efficiency versus phase error in a ninth embodiment;

FIG. 5 is a graph of power efficiency over time for a ninth embodiment;

FIG. 6 is a graph of efficiency confidence probability over time in a ninth embodiment.

Detailed Description

In a first embodiment, the present embodiment is specifically described with reference to fig. 1 and fig. 2, and the method for synchronizing the carrier phase in distributed beamforming based on a wireless sensor network on the sea surface according to the present embodiment is performed without considering frequency and phase estimation errors, and includes the following steps:

step one, source Node_iAcquiring and storing data copy signals m (t), source Node_iMiddle Node₁Is a master Node, Node_KIs a slave node, wherein K is a positive integer greater than or equal to 2, i is a positive integer greater than or equal to 1, K ∈ i;

step two, the target Node D sends the source Node_iTransmitting a single frequency beacon signal x₀(t); source Node_iReceiving the single frequency beacon signal x₀(t) and forming a source node reception signal y_0i(t)；

Source node receiving signal y_0iY in (t)₀₁(t) indicates a master node reception signal, y_0K(t) represents receiving a signal from a node;

step three, the main Node₁Receiving signal y to the master node₀₁(t) signal processing to obtain main partNode carrier signal x₁₀(t), slave Node_KFor receiving signal y from node_0K(t) processing the signal to obtain a secondary node carrier signal x_K0(t)；

Step four, the master Node₁Loading the data copy signal m (t) on a primary node carrier signal x₁₀(t) obtaining a master node modulation signal s₁(t); slave Node_KLoading the data copy signal m (t) on a slave node carrier signal x_K0(t) obtaining a slave node modulation signal s_K(t)；

Step five, the master Node₁Modulating the master node with a signal s₁(t) sending to the target node D; slave Node_KModulating the slave node with a signal s_K(t) sending to the target node D;

step six, the target node D modulates the received main node modulation signal s₁(t) and a slave node modulation signal s_KAnd (t) superposing to obtain a target node modulation signal S (t).

In this embodiment, the data information copy is data to be transmitted to the target node/satellite by the sensor network; before the beam forming is started, each node in the sensor network obtains and stores data through a data sharing mechanism among networks.

The formation of the beam mainly depends on two types of nodes, namely a target node/satellite and a source node, wherein the source node is divided into a main node and a slave node.

In this embodiment, the process is performed under the condition that the source node and the target node are assumed to be relatively stationary and the influence of various interference factors is ignored.

In the embodiment, carrier phase synchronization is realized in the third step, and modulated signals are superposed in the fourth step, the fifth step and the sixth step, so that distributed beams are formed, and the problem that the distributed beams cannot be used for a satellite due to the fact that the power of a single sensor is small is solved. The forming process of the slave node carrier signal and the master node carrier signal in the method is very quick, the phase synchronization of the source node and the target node is realized, and the expansibility is strong.

In a second embodiment, the present embodiment is a further description of the method for synchronizing the carrier phases of distributed beam forming based on a wireless sensor network on the sea surface in the first embodiment, and in the present embodiment, the single-frequency beacon signal x in the second step₀(t) is represented by

Wherein, t₀Denotes the start time, phi₀Representing the initial phase of a single-frequency beacon signal at the target node D, w being the frequency, j²-1, t is time;

in step one, the source node receives a signal y_0i(t) is represented by

Wherein, tau_0iRepresenting the path delay from the target node D to the source node nodeb (i ═ 1, 2.., K);

when i is 1, the master node receives a signal of

When i is 2,3 … … K, the slave node receiving signal y is obtained after the expression of the source node receiving signal is taken_0K(t)，

The expression for receiving a signal from a node is

Detailed description of the inventionThird, the present embodiment is specifically described with reference to fig. 3, and the present embodiment is a further description of the method for synchronizing the phase of the distributed beam forming carrier based on the sea surface wireless sensor network according to the first or second embodiment, in the present embodiment, the master Node in step three is described in the present embodiment₁Receiving signal y to the master node₀₁(t) processing the signal to obtain a main node carrier signal x₁₀(t), the process of obtaining the master node carrier signal is implemented by a phase discrimination circuit, and the process of obtaining the master node carrier signal is as follows:

step three, one, main Node₁The local oscillator in (1) generates a local oscillation signal O₁(t) of the formulaWherein phi is₁Representing an initial phase of the local signal;

step three and two, according to the local oscillation signal O in the step three and one₁(t), master Node₁Receives a signal y from the master node₀₁(t) may also be expressed as:

wherein,is the master node receiving signal y₀₁(t) with the signal O₁Phase difference of (t), conjugate signal of h (t)

Step three, the local oscillation signal O₁(t) and conjugate signal h^*(t) multiplying to obtain a primary node carrier signal x₁₀(t), the primary node carrier signal x₁₀(t) is represented by

In a fourth embodiment, the present embodiment is a further description of the method for synchronizing the phase of a distributed beam forming carrier based on a wireless sensor network on the sea surface according to the first or second embodiment, in the present embodiment, the slave Node in the third step_KFor receiving signal y from node_0K(t) processing the signal to obtain a secondary node carrier signal x_K0(t), the process of obtaining the slave node carrier signal is:

step three A, slave Node_KFor received single frequency beacon signal x₀(t) obtaining extended single-frequency beacon signals x after periodic extension_0K(t)，

The extended single frequency beacon signal x_0K(t) by the slave Node_KDenoted as receiving signal y from node_0K(t)，Slave Node_KReceiving the signal y from the node_0K(t) forward to the master Node₁；

Step three B, main Node₁Receiving signal y of slave node to be received after period prolongation_0K(t) receiving signal y from node marked as extended_K1(t)；

Step three, the master Node₁For the extended slave node receiving signal y_K1(t) processing by phase discrimination circuit to obtain master-slave signal x_1K(t)；

Step three, master Node₁The master-slave signal x_1K(t) is transmitted back to the slave Node_KSlave Node_KThe master-slave signal x_1K(t) denoted as slave master signal y_1K(t)；

Step three E, slave Node_KThe slave master signal y_1K(t) conversion to a slave node carrier signal x_K0(t)，

A fifth embodiment is a further description of the method for synchronizing the phases of the distributed beams formed by the carrier waves based on the wireless sensor network on the sea surface according to the fourth embodiment, in the third embodiment, the master Node in step C₁For the extended slave node receiving signal y_K1(t) processing by phase discrimination circuit to obtain master-slave signal x_1K(t) obtaining a master-slave signal x_1KThe process of (t) is:

step C1, master Node₁The local oscillator in (1) generates a local oscillation signal O₁(t) of the formulaWherein phi is₁Representing an initial phase of the local signal;

step C2, according to the local oscillation signal O in step C1₁(t), master Node₁Extended slave node of (2) receiving signal y_K1(t)；It can also be expressed as:

wherein,is extended slave node receiving signal y_K1(t) and local oscillation signal O₁(t) phase difference, τ_K1Representing a slave Node_KTo the master Node₁The path delay of (1); h is₀(t) conjugate signal

Step C3, the local oscillation signal O₁(t) and conjugate signal h₀ ^*(t) multiplying to obtain a master-slave signal x_1K(t), the master-slave signal x_1K(t) is represented by

A sixth specific embodiment is a further description of the method for synchronizing the carrier phases by distributed beam forming based on the wireless sensor network on the sea surface according to the first specific embodiment, where in the fourth specific embodiment, the master node modulates the signal s₁The expression of (t) is:

the slave node modulates a signal s_KThe expression of (t) is:

a seventh specific embodiment is further described in the first specific embodiment, where the expression of the target node modulation signal s (t) in step six is as follows:

eighth embodiment, the present embodiment is a further description of a distributed beamforming carrier phase synchronization method based on a sea surface wireless sensor network described in the second embodiment, and in the present embodiment,

local oscillation signal O₁(t) can also exist in the form of a sinusoidal signal, expressed as follows:

O₁(t)＝cos[w(t-t₀)+φ₁]。

in this embodiment, the master Node₁The local oscillator generates a local oscillation signal O₁(t), the signal is represented as:

O₁(t)＝cos[w(t-t₀)+φ₁](4-1)

Node₁received signal y₀₁(t) is represented as follows:

y₀₁(t)＝cos[w(t-t₀-τ₀₁)+φ₀](4-2)

y₀₁(t) can be decomposed into O₁The form of the in-phase and quadrature components of (t) is as follows:

y₀₁(t)＝y_I(t)·cos[w(t-t₀)+φ₁]+y_Q(t)·sin[w(t-t₀)+φ₁](4-3)

wherein y is_I(t)、y_Q(t) coefficient functions respectively representing in-phase component and quadrature component, and arranging to obtain

Correspondingly, there is a composite output signal x₁₀(t) can be represented as

In the fifth embodiment, the phase estimation error is represented by phi, and the frequency and phase estimation error is represented by phi₀Above, is represented as Wherein phi_err,kRepresenting the error of the signal when it is received the k-th time;

the frequency estimation error is reflected in w, denoted as Wherein w_err,kRepresenting the error in the signal that occurred when it was received the k-th time.

The process of embodiments one to seven is re-analyzed with frequency and phase estimation errors taken into account, and the simplified process here is as follows:

the target node D transmits a single-frequency beacon signal to the source node nodeb (i ═ 1, 2.., N)Here, for simplicity and without loss of generality, let t₀0; each source node receives a signal, denoted as

The master node receives a signal ofReceiving signals from nodes

The master node receives the signal y by the master node₀₁(t) processing the signal by a phase discrimination circuit to obtain a main node carrier signal x₁₀' (t) the master node transmits the master node carrier signal to the target node D.

The slave node will receive the signal y from the node_0K(t) forward to the master node, master node y_0K(t) receiving signal y from node marked as extended_K1'(t)；

Said extended slave node of the master node receives a signal y_K1' (t) processing the signals by a phase discrimination circuit to obtain a master-slave signal x_1K'(t)，

The master node sends a master-slave signal x_1K' (t) is fed back to the slave node, which represents the signal as a slave master signal y_1K'(t)，

The slave node sends the slave main signal y_1K' (t) into a slave node carrier signal x_K0' (t) and enables communication with the target node D.

When the master node carrier signal and the slave node carrier signal reach the target node D, the following are expressed:

the above results indicate that the phase of the carrier signal at the target node is deviated when the frequency and phase estimation errors are present. Offset phase ofDue to tau_i1Is much smaller than tau_0iSo the main factor in the offset phase is And total time of procedure itemTherefore, the signal received by the target node D is represented as follows:

symbol in Y (t) ()_iA random variable representing a difference for each source node, Nodei (i 1, 2.., N); y (t) is given an equal sign, on the one hand, τ is omitted_i1(ii) an effect; on the other hand, for Node₁There is no distinction between the two, which is completely allowed when the number of nodes N is large.

The form of the signal received by the target node D, when considering the effect of the error, is rewritten here as follows:

the power form P (t) of the signal can be written as

The formula (3-2) can be further processed to obtain:

assuming that the frequency and phase estimation errors of the signal are normally distributed and the errors generated by each estimation are independent of each other The formula (3-3) can be written as

Where t > τ is assumed_0iIn the formula (3-4), in the following, respectively for w_err、φ_errThe effect of the received power is discussed.

(1) Influence of phase error on power

The existence of the phase error directly causes the attenuation of power, and the relationship between the system power attenuation and the magnitude of the phase error is obtained through simulation. In the simulation process, the number N of the source nodes is assumed to be 100, and the average system power efficiency (actual power expectation and ideal power output N) is obtained through simulation²Ratio) η to the phase error variance σ_φThe relationship of (2) is shown in FIG. 4.

(2) Influence of frequency error on power

Unlike the effect of phase error on system power efficiency, the accumulation of phase over time caused by frequency error gradually degrades performance. The change of the system power efficiency eta with time under different frequency estimation error conditions is obtained through simulation. With (1) the same, the simulation assumes that the number N of source nodes is 100. The simulation results are shown in fig. 5.

When the frequency error of the signal is constant, the probability that the power efficiency of the system is not less than a certain threshold is gradually reduced along with the change of time, and the power efficiency of a certain lower limit probability cannot be guaranteed. The required efficiency threshold is given below as a function of time. In simulation, the number N of source nodes is assumed to be 100, generality is not lost, and the frequency error is sigma_wThe results are shown in fig. 6 at 0.5 Hz.

A detailed description of a tenth embodiment, which is an example, illustrates a way for suppressing a doppler effect occurring in a signal transmission process between nodes due to irregular motion of sensor network nodes caused by sea surface fluctuation.

Node movement: the non-stationary sea surface causes the sensor network nodes to move irregularly. On one hand, the irregular relative motion between the nodes causes the influence of Doppler effect in the signal transmission process in the synchronous time slot; on the other hand, in the beam forming time slot, the relative position relationship between the sensor network and the target node/satellite changes. In order to discuss the influence of node motion on the design scheme, the motion of the nodes in the network is decomposed, and the influence of each motion component on the system stability is discussed respectively. For simplicity and without loss of generality, the motion of nodes between networks is decomposed into three components: radial common line of sight motion, tangential common line of sight motion, and irregular motion between networks, and the influence of the three components on the system performance will be discussed separately below.

Because the influence of Doppler motion on communication of the master node and the slave node is mainly discussed, the phase and the frequency of the signal are accurately estimated by neglecting frequency and phase estimation errors existing in the signal receiving process. Emphasis is placed on discussing the influence of relative motion between nodes without loss of generality, and a main Node is assumed₁Being stationary, the slave nodes move irregularly relative to the master node. By the slave Node₂For example, the working principle of the suppression scheme for the influence of the doppler effect in the phase synchronization process of the slave node and the master node is described.

Slave Node₂Relative main Node₁The speed of the relative movement is v. Main Node₁Generates a signal O₁(t)；

Target node/satellite D broadcast single frequency beacon signal x₀(t)。Node₂Receiving a single frequency beacon signal of

In the slave Node₂Node with main Node₁Without relative movement therebetween, i.e., v ═ 0; node in beam forming time slot TSN₂Transmitting signal x₂₀(t) is represented by

At Node₂And Node₁When there is relative motion, i.e., v ≠ 0. Node₂Will signal y₀₂(t) forward to Node₁In the process, frequency offset is generated under the influence of Doppler effect. Is recorded as x'₂₁(t) is represented by

x'₂₁(t) passing through Node₂And Node₁Path delay τ therebetween₂₁Then, the Node is reached₁The signal is received as

Node₁Will signal y'₂₁(t) is processed by a phase discriminator circuit to obtain a signal x'₁₂(t) is represented by

Main Node₁Will signal x'₁₂(t) feedback to Slave Node₂Go through Node₁And Node₂Path delay τ therebetween₁₂＝τ₂₁Delayed, x'₁₂(t) reach Node₂Is received as y'₁₂(t) is represented by

After finishing, obtaining

Node₂Will signal y'₁₂(t) is x 'as a carrier signal'₂₀(t), rewritten as follows

As a comparison with the formula (5-2), the results are as follows

As can be seen from formula (5-8), signal x'₂₀(t) and x₂₀(t) differ by only a factor ofThe analysis shows that the factor represents the frequency deviation and the phase deviation generated by the relative motion between the nodes, respectively The node relative movement speed v is very small compared with the propagation speed c of the electromagnetic wave; on the other hand, Node₂And Node₁Transmission time delay tau caused by path between₁₂Small, so the deviation due to doppler effect is essentially negligible, with little impact on system performance.

Claims (4)

1. A distributed beam forming carrier phase synchronization method based on a sea surface wireless sensor network comprises the following steps:

step one, source Node_iAcquiring and storing data copy signals m (t), source Node_iMiddle Node₁Is a master Node, Node_KIs a slave node, wherein K is a positive integer greater than or equal to 2, i is a positive integer greater than or equal to 1, K ∈ i;

step two, the target Node D sends the source Node_iTransmitting a single frequency beacon signal x₀(t); source Node_iReceiving the single frequency beacon signal x₀(t) and forming a source node reception signal y_0i(t)；

Source node receiving signal y_0iY in (t)₀₁(t) indicates a master node reception signal, y_0K(t) represents receiving a signal from a node;

step three, the main Node₁Receiving signal y to the master node₀₁(t) processing the signal to obtain a main node carrier signal x₁₀(t), slave Node_KFor receiving signal y from node_0K(t) processing the signal to obtain a secondary node carrier signal x_K0(t)；

Step four, the master Node₁Loading the data copy signal m (t) on a primary node carrier signal x₁₀(t) obtaining a master node modulation signal s₁(t); slave Node_KLoading the data copy signal m (t) on a slave node carrier signal x_K0(t) obtaining a slave node modulation signal s_K(t)；

Step five, the master Node₁Modulating the master node with a signal s₁(t) sending to the target node D; slave Node_KModulating the slave node with a signal s_K(t) sending to the target node D;

step six, the target node D modulates the received main node modulation signal s₁(t) and a slave node modulation signal s_K(t) superposing to obtain a target node modulation signal S (t);

wherein the single frequency beacon signal x in step two₀(t) is represented by

Wherein, t₀Denotes the start time, phi₀Denotes the initial phase of a single-frequency reference signal at the target node D, w is the frequency, j²-1, t is time;

in step one, the source node receives a signal y_0i(t) is represented by

$y_{0i}\left(t\right)=e^{j\[w(t-t_0-{\mathrm{\τ}}_{0i})+{\mathrm{\φ}}_0\]};$

Wherein, tau_0iRepresents the path delay from the target Node D to the source Node i (i ═ 1, 2.., K);

when i is 1, the master node receives a signal of

When i is 2,3 … … K, the slave node receiving signal y is obtained after the expression of the source node receiving signal is taken_0K(t)，

The expression for receiving a signal from a node is

The master Node in step three₁Receiving signal y to the master node₀₁(t) processing the signal to obtain a main node carrier signal x₁₀(t), the process of obtaining the master node carrier signal is implemented by a phase discrimination circuit, and the process of obtaining the master node carrier signal is as follows:

step three, one, main Node₁The local oscillator in (1) generates a local oscillation signal O₁(t) of the formula

Wherein phi is₁Representing an initial phase of the local signal;

step three and two, according to the local oscillation signal O in the step three and one₁(t), master Node₁Receives a signal y from the master node₀₁(t) may also be expressed as:

$y_{01}\left(t\right)=O_1\left(t\right)e^{j\[w(-{\mathrm{\τ}}_{01})+{\mathrm{\φ}}_0-{\mathrm{\φ}}_1\]}=O_1\left(t\right)h\left(t\right)$

wherein,is the master node receiving signal y₀₁(t) with the signal O₁Phase difference of (t), conjugate signal of h (t)

Step three, the local oscillation signal O₁(t) and conjugate signal h^*(t) multiplying to obtain a primary node carrier signal x₁₀(t), the primary node carrier signal x₁₀(t) is represented by

In step three, the slave Node_KFor receiving signal y from node_0K(t) processing the signal to obtain a secondary node carrier signal x_K0(t), the process of obtaining the slave node carrier signal is:

step three A, slave Node_KFor received single frequency beacon signal x₀(t) obtaining extended single-frequency beacon signals x after periodic extension_0K(t)，

The extended single frequency beacon signal x_0K(t) by the slave Node_KDenoted as receiving signal y from node_0K(t)，Slave Node_KReceiving the signal y from the node_0K(t) forward to the master Node₁；

Step three B, main Node₁Receiving signal y of slave node to be received after period prolongation_0K(t) receiving signal y from node marked as extended_K1(t)；

Step three, the master Node₁For the extended slave node receiving signal y_K1(t) processing by phase discrimination circuit to obtain master-slave signal x_1K(t)；

Step three, master Node₁The master-slave signal x_1K(t) is transmitted back to the slave Node_KSlave Node_KThe master-slave signal x_1K(t) denoted as slave master signal y_1K(t)；

Step three E, slave Node_KThe slave master signal y_1K(t) conversion to a slave node carrier signal x_K0(t)，

Step three C, the main Node₁For the extended slave node receiving signal y_K1(t) processing by phase discrimination circuit to obtain master-slave signal x_1K(t) obtaining a master-slave signal x_1KThe process of (t) is:

step C1, master Node₁The local oscillator in (1) generates a local oscillation signal O₁(t) of the formula

Wherein phi is₁Representing an initial phase of the local signal;

step C2, according to the local oscillation signal O in step C1₁(t), master Node₁Extended slave node of (2) receiving signal y_K1(t)；It can also be expressed as:

$y_{K1}\left(t\right)=O_1\left(t\right)e^{j\[w(-{\mathrm{\τ}}_{0K}-{\mathrm{\τ}}_{K1})+{\mathrm{\φ}}_0-{\mathrm{\φ}}_1\]}=O_1\left(t\right)h_0\left(t\right);$

wherein,is extended slave node receiving signal y_K1(t) and local oscillation signal O₁(t) phase difference, τ_K1Representing a slave Node_KTo the master Node₁The path delay of (1); h is₀(t) conjugate signal

Step C3, the local oscillation signal O₁(t) and conjugate signal h₀ ^*(t) multiplying to obtain a master-slave signal x_1K(t), the master-slave signal x_1K(t) is represented by

2. The method according to claim 1, wherein the master node modulates the signal s in step four₁The expression of (t) is:

$s_1\left(t\right)=m\left(t\right)\·x_{10}\left(t\right)=m\left(t\right)e^{j\[w(t-t_0+{\mathrm{\τ}}_{01})-{\mathrm{\φ}}_0+2{\mathrm{\φ}}_1\]};$

the slave node modulates a signal s_KThe expression of (t) is:

$s_K\left(t\right)=m\left(t\right)\·x_{K0}\left(t\right)=m\left(t\right)e^{j\[w(t-t_0+{\mathrm{\τ}}_{0K})-{\mathrm{\φ}}_0+2{\mathrm{\φ}}_1\]}.$

3. the method according to claim 1, wherein the expression of the target node modulation signal s (t) in the sixth step is:

$S\left(t\right)=\underset{i=1}{\overset{N}{\Σ}}{s}_i\left(t\right)=Nm\left(t\right)e^{j\[w(t-t_0)-{\mathrm{\φ}}_0+2{\mathrm{\φ}}_1\]}.$

4. the method for distributed beamforming carrier phase synchronization based on the sea surface wireless sensor network as claimed in claim 1, wherein the local oscillation signal O is₁(t) can also exist in the form of a sinusoidal signal, expressed as follows:

O₁(t)＝cos[w(t-t₀)+φ₁]。