CN101868022A - Cluster-based distributed antenna time frequency synchronizing method in wireless communication - Google Patents

Abstract

The invention relates to a cluster-based distributed antenna time frequency synchronizing method in wireless communication, and belongs to the technical field of wireless communication. The method comprises the following steps of: dividing mass distributed antennas into clusters, selecting cluster representative antennas, and performing distributed bidirectional coordinated synchronization on the cluster representative antennas; and then, initiating intra-cluster distributed bidirectional coordinated synchronization by the cluster representative antennas so as to finally realize time frequency synchronization of all distributed antennas in a system. The method has the following advantages that: through cluster division, a plurality of clusters are simultaneously synchronized, the total synchronization time is reduced and the synchronization speed is quickened; the synchronization between the cluster representative antennas is performed first and then the intra-cluster distributed bidirectional coordinated synchronization is performed so as to obtain higher synchronization precision and meet the requirement of a distributed wireless communication system for synchronization precision; and the synchronization between the distributed antennas is finished in advance so as to avoid multiple times of synchronization between a terminal user and a plurality of distributed antennas. The method reduces the system resource overhead of the terminal user, and improves the communication reliability.

Description

In a kind of radio communication based on bunch distributed antenna time frequency synchronizing method

Technical field

The present invention relates in a kind of radio communication based on bunch distributed antenna time frequency synchronizing method, belong to wireless communication technology field.

Background technology

In the next generation wireless communication system of identical networking,, adopt the collaborative mode in spaced antenna or many base stations to transmit for the availability of frequency spectrum of further raising system with to quality of services for users more.For example, coordinate multipoint (CoordinatedMultiple Point, hereinafter to be referred as CoMP) transmission technology is the technology of being paid close attention to by LTE-Advanced at present, it can avoid or reduce presence of intercell interference effectively on the basis that keeps system high-frequency spectrum utilance as far as possible.The networking model that is based on BBU+RRU that the CoMP model is the most frequently used, common 1 Base Band Unit (hereinafter to be referred as BBU) connects a plurality of wireless remotes unit (hereinafter to be referred as RRU) by radio frequency optical fiber (hereinafter to be referred as RoF).RRU is similar to spaced antenna in the distributing antenna system, and the BBU by RoF and similar central processing unit is connected.

Under the scene of a plurality of spaced antenna collaboration communications, time between a plurality of spaced antennas and Frequency Synchronization provide the basic premise of reliable transmission.When a plurality of spaced antennas transmit information for one or more users simultaneously,, make user's restoring signal difficulty because the frequency of the local crystal oscillator of each spaced antenna can produce deviation in time.Thereby, guarantee that the temporal frequency of a plurality of spaced antennas is synchronous, be directly connected to user's's (as cellphone subscriber, mobile device etc.) communication quality and reliability.Synchronous motor at many spaced antennas is shaped on principal and subordinate's synchronization mechanism, opens and closes ring synchronization mechanism and two-way poll synchronization mechanism etc. at present.

In principal and subordinate's synchronization mechanism, host node (a selected representative antennas or terminal use in many spaced antennas) sends reference signal to each from node (remaining spaced antenna), receive frequency and the phase information of obtaining reference signal after the reference signal by phase-locked loop (PLL) from node, and then adjust from the local crystal oscillator of node and reach synchronous purpose.But should mechanism also come with some shortcomings part:

(1) host node needs to broadcast from node to a plurality of simultaneously, than bringing more power consumption from node.When especially being host node, then need to handle a large amount of next response signals since node with terminal use.

(2) owing to each need be adjusted the local crystal oscillator of oneself according to the reference signal that host node sends from node, in case the crystal oscillator deviation of host node is excessive, occur when perhaps each is from the node processing reference signal than mistake, can cause then that main and subordinate node can't the deadline frequency synchronously.Synchronization accuracy under principal and subordinate's synchronization mechanism also can't satisfy the temporal frequency synchronisation requirement of spaced antenna cooperative system in addition.The temporal frequency synchronization accuracy that current spaced antenna/multi-base station cooperative system needs is higher than about one to two order of magnitude of principal and subordinate's synchronization mechanism precision.

In two-way poll synchronization mechanism, consider a labelled spaced antenna set { C ₁, C ₂..., C _L, and setting antenna number, to be incremented to L from 1 be forward direction, opposite from L be decremented to 1 for the back to.Send reference signal by base station 1 to base station 2, this signal comprises the frequency and the phase information of base station 1 local crystal oscillator, and base station 2 is estimated after receiving reference signal, and adjusted local crystal oscillator according to estimated value.Continue subsequently to send reference signal, by that analogy to base station 3.Each base station is carried out the estimation of time and frequency by the mode of two-way poll.Then,, calculate time and frequency values that the local crystal oscillator of each base station need be adjusted, finally reach the purpose of a plurality of base stations time, Frequency Synchronization by the symmetry of front and back bi-directional estimation.Two-way poll synchronization mechanism can be met time, the Frequency Synchronization precision of spaced antenna/multi-base station cooperative system requirements, but also there is weak point in this synchronization mechanism:

Frequency and phase estimation are carried out according to receiving reference signal in each base station, and continue to send reference signal and all need independently time slot to the process of next base station, have L spaced antenna cooperative multicast system for one, along with the increase of spaced antenna number L, the synchronously required resource overhead of whole system can linearly increase.In DWCS/multi-base station cooperative communication system, general spaced antenna number L under a central controller controls is bigger, and synchronizing process need periodically be carried out.Though two-way poll synchronization mechanism can access the higher synchronous precision, lock in time, expense was excessive.

In a word, present existing synchronization mechanism has problems aspect system resource overhead, lock in time and synchronization accuracy, can not realize high efficiency, high precision time Frequency Synchronization to a plurality of spaced antennas in DWCS/multi-base station cooperative communication system.

Summary of the invention

The objective of the invention is to propose in a kind of radio communication based on bunch distributed antenna time frequency synchronizing method, at first, the communication system that a plurality of spaced antennas are arranged is carried out sub-clustering handle, select a bunch representative antennas, finish the high-precise synchronization between bunch representative antennas.Then, the temporal frequency of being initiated a plurality of spaced antennas in each bunch by bunch representative antennas is synchronous, and the temporal frequency of all spaced antennas is synchronous in the finally realization system.

In the radio communication that the present invention proposes based on bunch distributed antenna time frequency synchronizing method, may further comprise the steps:

(1) spaced antenna of the M=PN in the wireless communication system is divided into P bunch, p=1,2 ..., P, the spaced antenna number in each bunch are N, n=1, and 2 ..., N, n spaced antenna usefulness in p bunch

Expression, then the spaced antenna set is in every bunch

P=1,2 ..., P;

Setting up departments, the unified reference clock signal of spaced antenna is ψ (t)=exp{j (Ω t+ Φ) in the system }, wherein Ω is the frequency of local crystal oscillator, and t is the unified overall reference time, and Φ is the phase place of local crystal oscillator.Owing to there is the deviation of local crystal oscillator, thus in the system any one spaced antenna i local crystal oscillator signal indication be:

ψ _i(t)＝exp{j(Ω _it+Φ _i+n _i(t))}，i＝1，2，...，M-1，M (1)

Ω in the following formula _iBe local crystal oscillator frequency, Φ _iThe phase place of representing local crystal oscillator, n _i(t) be the noise jamming of local crystal oscillator;

According to above-mentioned (1) formula, obtain that the current local zone time of any one spaced antenna i is in the said system:

t _i＝(Ω _it+Φ _i+n _i(t))/Ω＝α _i(t+Δ _i(t))，i＝1，2，...，M-1，M (2)

α wherein _i=Ω _i/ Ω, the ratio of the local crystal oscillator frequency of any one spaced antenna i and unified overall crystal oscillator frequency in the expression system; Δ _i(t)=(Φ _i+ n _i(t))/Ω _i, the local zone time deviation of any one spaced antenna i in the expression system considers that the local clock deviation is a fixed value in a unit propagates time slot, then the local zone time t of any one spaced antenna i in the system _iWith the overall situation reference time t relational expression be t _i=t+ Δ _i

(2) from N the spaced antenna of above-mentioned each bunch, choose 2 spaced antennas

With As a bunch representative antennas, then adjacent P bunch produces 2P bunch representative antennas;

(3) above-mentioned all bunch representative antennas are carried out the distributed bidirectional cooperation synchronously, detailed process is as follows:

(3-1) above-mentioned all bunch representative antennas are numbered the back ordering, form a bunch representative antennas set

Be abbreviated as { A ₁, A ₂..., A _2P-1, A _2P;

(3-2) by a bunch representative antennas A ₁To a bunch representative antennas A ₂Send sinusoidal signal, A by that analogy ₁→ A ₂→ ... → A _2P-1→ A _2P, be designated as fl transmission; After the forward direction end of transmission, by a bunch representative antennas A _2PSend identical sinusoidal signal to bunch representative antennas A _2P-1, A by that analogy _2P→ A _2P-1→ ... → A ₂→ A ₁, being designated as reverse transfer, fl transmission and reverse transfer take 4P-2 unit altogether and propagate time slot, wherein time slot { T ⁽¹⁾, T ⁽²⁾..., T ^(2P-2), T ^(2P-1)Be that the fl transmission time slot is gathered time slot { T ^(2P), T ^(2P+1)..., T ^(4P-3), T ^(4P-2)Be that the reverse transfer time slot is gathered;

(3-3) at above-mentioned fl transmission time slot T ⁽¹⁾In, bunch representative antennas A ₁The signal indication that sends is:

S ₁ ⁽¹⁾(t)＝exp{j(w ₁t ₁+Φ ₁)} (3)

W wherein ₁Be a bunch representative antennas A ₁Local crystal oscillator frequency, Φ ₁Phase place for local crystal oscillator;

Bunch representative antennas A ₂Reception is from a bunch representative antennas A ₁Signal, this signal is with bunch representative antennas A ₂Local zone time t ₂Be expressed as:

$r_2^{\left(1\right)}\left(t_2\right)=H_{\mathrm{1,2}}\exp \left\{j({\mathrm{\&alpha;}}_1{w}_1({\mathrm{<figure-callout\; id="1"\; label="t"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">t</figure-callout>}}_1/{\mathrm{\&alpha;}}_2+{\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1)\right\}+{\mathrm{\&omega;}}_2^{\left(1\right)}\left(t_2\right)---\left(4\right)$

H wherein _1,2For from a bunch representative antennas A ₁To bunch representative antennas A ₂Channel Transmission gain, and set fl transmission and the back is symmetry equivalent to the channel transmitted transmission gain,

Be a bunch representative antennas A ₂At T ⁽¹⁾In the noise that receives, then bunch representative antennas A ₂Estimate that the crystal oscillator frequency and the phase place that obtain are:

${\hat{w}}_2^{\left(1\right)}=({\mathrm{\&alpha;}}_1{w}_1+{\tilde{w}}_2^{\left(1\right)})/{\mathrm{\&alpha;}}_2---\left(5\right)$

${\widehat{\mathrm{\&Phi;}}}_2^{\left(1\right)}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1+{\widetilde{\mathrm{\&Phi;}}}_2^{\left(1\right)}---\left(6\right)$

Wherein

With

Be estimated frequency error and phase estimation error;

(3-4) repeat above-mentioned steps (3-2)-(3-3), obtain a bunch representative antennas A _iFl transmission crystal oscillator frequency and the phase place estimated be:

${\hat{w}}_i={\mathrm{\&alpha;}}_{i-1}{\hat{w}}_{i-1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_1{w}_1/{\mathrm{\&alpha;}}_i---\left(7\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_{i-1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i-1}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1;---\left(8\right)$

(3-5) reverse transfer is by a bunch representative antennas A _2PBeginning is up at reverse transfer time slot T ^(4p-2)Intra-cluster representative antennas A ₁Receive till the final signal;

(3-6) at above-mentioned reverse transfer time slot T ^(2P)In, bunch representative antennas A _2PThe signal indication that sends is:

s _2P ^(2P)(t)＝exp{j(w _2Pt _2P+Φ _2P)} (9)

W wherein _2PBe a bunch representative antennas A _2PLocal crystal oscillator frequency, Φ _2PPhase place for local crystal oscillator;

Bunch representative antennas A _2P-1Reception is from a bunch representative antennas A _2PSignal, this signal is with bunch representative antennas A _2P-1Local zone time t _2p-1Be expressed as:

$r_{2P-1}^{\left(2P\right)}\left(t_{2P-1}\right)=H_{2P,2P-1}\exp \left\{j({\mathrm{\&alpha;}}_{2P}{w}_{2P}(t_{2P-1}/{\mathrm{\&alpha;}}_{2P-1}+{\mathrm{\&Delta;}}_{2P}-{\mathrm{\&Delta;}}_{2P-1})+{\mathrm{\&Phi;}}_{2P})\right\}+{\mathrm{\&omega;}}_{2P-1}^{\left(2P\right)}\left(t_{2P-1}\right)---\left(10\right)$

H wherein _{2P, 2P-1}For from a bunch representative antennas A _2PTo bunch representative antennas A _2P-1Transmission channel gain,

Be a bunch representative antennas A _2P-1At T ^(2P)In the noise that receives, then bunch representative antennas A _2P-1Estimate that the crystal oscillator frequency and the phase place that obtain are:

${\hat{w}}_{2P-1}^{\left(2P\right)}=({\mathrm{\&alpha;}}_{2P}{w}_{2P}+{\tilde{w}}_{2P-1}^{\left(2P\right)})/{\mathrm{\&alpha;}}_{2P-1}---\left(11\right)$

${\widehat{\mathrm{\&Phi;}}}_{2P-1}^{\left(2P\right)}={\mathrm{\&alpha;}}_{2P}{w}_{2P}({\mathrm{\&Delta;}}_{2P}-{\mathrm{\&Delta;}}_{2P-1})+{\mathrm{\&Phi;}}_{2P}+{\widetilde{\mathrm{\&Phi;}}}_{2P-1}^{\left(2P\right)}---\left(12\right)$

Wherein

With

Be estimated frequency error and phase estimation error;

(3-7) repeat above-mentioned steps (3-5)-(3-6), obtain a bunch representative antennas A _iReverse transfer crystal oscillator frequency and the phase place estimated be:

${\hat{w}}_i={\mathrm{\&alpha;}}_{i+1}{\hat{w}}_{i+1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_{2P}{w}_{2P}/{\mathrm{\&alpha;}}_i---\left(13\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_{2P}{w}_{2P}({\mathrm{\&Delta;}}_{i+1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i+1}={\mathrm{\&alpha;}}_{2P}{w}_{2P}({\mathrm{\&Delta;}}_{2P}-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_{2P};---\left(14\right)$

(3-8) according to the fl transmission estimated result and the reverse transfer estimated result of above-mentioned each that obtains bunch representative antennas, bunch representative antennas A then _iFinal local crystal oscillator frequency and the phase place estimated are:

${\hat{w}}_i=({\mathrm{\&alpha;}}_1{w}_1+{\mathrm{\&alpha;}}_{2P}{w}_{2P})/{\mathrm{\&alpha;}}_i---\left(15\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&alpha;}}_{2P}{w}_{2P}({\mathrm{\&Delta;}}_{2P}-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1+{\mathrm{\&Phi;}}_{2P}---\left(16\right)$

And obtain bunch representative antennas A based on unified overall reference time t _iLocal crystal oscillator signal be:

ψ _i(t)＝exp{j((α ₁w ₁+α _2Pw _2P)t+λ ₁+λ _2P)}，i＝1，2，...，2P-1，2P (17)

λ wherein _n=α _nw _nΔ _n+ Φ _n

(3-9) according to above-mentioned bunch of representative antennas A _iLocal crystal oscillator frequency and the estimated value of phase place, obtain the set of bunch representative antennas

The synchronized result of local crystal oscillator signal be:

${\mathrm{\&psi;}}_n^{\left(p\right)}\left(t\right)=\exp \left\{j(({\mathrm{\&alpha;}}_1^{\left(1\right)}{w}_1^{\left(1\right)}+{\mathrm{\&alpha;}}_N^{\left(P\right)}{w}_N^{\left(P\right)})t+{\mathrm{\&lambda;}}_1^{\left(P\right)}+{\mathrm{\&lambda;}}_N^{\left(P\right)})\right\},$ p＝1，2，...，P，n＝1，2，...，N； (18)

(4) according to the synchronized result of bunch representative antennas between above-mentioned each bunch, then, distributed bidirectional cooperation between a plurality of spaced antennas in being initiated bunch by bunch representative antennas of each bunch synchronously, the same in default wherein and method for synchronous and the above-mentioned steps (3) is example with p bunch N spaced antenna, p=1,2, ..., P, concrete steps are as follows:

(4-1) after finishing the set synchronously of bunch representative antennas, to bunch in N spaced antenna be numbered the back ordering, form spaced antenna and gather

Be abbreviated as { B ₁, B ₂..., B _N, spaced antenna wherein

Be two bunches of representative antennas of this bunch;

(4-2) by bunch in spaced antenna B ₁To spaced antenna B ₂Send sinusoidal signal, B by that analogy ₁→ B ₂→ ... → B _N-1→ B _N, be designated as fl transmission; After the forward direction end of transmission, by spaced antenna B _NSend identical sinusoidal signal to spaced antenna B _N-1, B by that analogy _N→ B _N-1→ ... → B ₂→ B ₁, being designated as reverse transfer, fl transmission and reverse transfer take 2N-2 unit altogether and propagate time slot, wherein time slot

Be the set of fl transmission time slot, time slot

Be the set of reverse transfer time slot;

(4-3) at above-mentioned fl transmission time slot

In, spaced antenna B ₁The signal indication that sends is:

x ₁ ⁽¹⁾(t)＝exp{j(w ₁t ₁+Φ ₁)} (19)

W wherein ₁Be spaced antenna B ₁Local crystal oscillator frequency, Φ ₁Phase place for local crystal oscillator;

Then, spaced antenna B ₂Reception is from spaced antenna B ₁Signal, this signal spaced antenna B ₂Local zone time t ₂Be expressed as:

$y_2^{\left(1\right)}\left(t_2\right)={\mathrm{<figure-callout\; id="1"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">\; <figure-callout\; id="2"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">H</figure-callout>\; </figure-callout>}}_{\mathrm{1,2}}\exp \left\{j({\mathrm{\&alpha;}}_1{w}_1({\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">t</figure-callout>}}_2/{\mathrm{\&alpha;}}_2+{\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1)\right\}+{\mathrm{\&omega;}}_2^{\left(1\right)}\left(t_2\right)---\left(20\right)$

H wherein _1,2For from spaced antenna B ₁To spaced antenna B ₂Channel Transmission gain, and set fl transmission and the back is symmetry equivalent to the channel transmitted transmission gain,

Be spaced antenna B ₂ In the noise that receives, then spaced antenna B ₂Estimate that the crystal oscillator frequency and the phase place that obtain are:

${\hat{w}}_2^{\left(1\right)}=({\mathrm{\&alpha;}}_1{\mathrm{<figure-callout\; id="1"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_1+{\tilde{w}}_2^{\left(1\right)})/{\mathrm{\&alpha;}}_2---\left(21\right)$

${\widehat{\mathrm{\&Phi;}}}_2^{\left(1\right)}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1+{\widetilde{\mathrm{\&Phi;}}}_2^{\left(1\right)}---\left(22\right)$

Wherein

With

Be estimated frequency error and phase estimation error;

(4-4) repeat above-mentioned steps (4-2)-(4-3), spaced antenna B in the spaced antenna set in obtaining bunch _iFl transmission crystal oscillator frequency and the phase place estimated be:

${\hat{w}}_i={\mathrm{\&alpha;}}_{i-1}{\hat{w}}_{i-1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_1{\mathrm{<figure-callout\; id="1"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_1/{\mathrm{\&alpha;}}_i---\left(23\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_{i-1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i-1}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1;---\left(24\right)$

(4-5) reverse transfer is by spaced antenna B _NInitiate, up to time slot Middle spaced antenna B ₁Receive till the final signal;

(4-6) at above-mentioned reverse transfer time slot

In, spaced antenna B _NThe signal indication that sends is:

x _N ^(N)(t)＝exp{j(w _Nt _N+Φ _N)} (25)

W wherein _NBe spaced antenna B _NLocal crystal oscillator frequency, Φ _NPhase place for local crystal oscillator;

Then, spaced antenna B _N-1Reception is from spaced antenna B _NSignal, this signal spaced antenna B _N-1Local zone time t _N-1Be expressed as:

$y_{N-1}^{\left(N\right)}\left(t_{N-1}\right)=H_{N,N-1}\exp \left\{j({\mathrm{\&alpha;}}_N{w}_N(t_{N-1}/{\mathrm{\&alpha;}}_{N-1}+{\mathrm{\&Delta;}}_N-{\mathrm{\&Delta;}}_{N-1})+{\mathrm{\&Phi;}}_N)\right\}+{\mathrm{\&omega;}}_{N-1}^{\left(N\right)}\left(t_{N-1}\right)---\left(26\right)$

H wherein _{N, N-1}For from spaced antenna B _NTo spaced antenna B _N-1Transmission channel gain,

Be spaced antenna B _N-1

In the noise that receives, then spaced antenna B _N-1Estimate that the frequency and the phase place that obtain are

${\hat{w}}_{N-1}^{\left(N\right)}=({\mathrm{\&alpha;}}_N{w}_N+{\tilde{w}}_{N-1}^{\left(N\right)})/{\mathrm{\&alpha;}}_{N-1}---\left(27\right)$

${\widehat{\mathrm{\&Phi;}}}_{N-1}^{\left(N\right)}={\mathrm{\&alpha;}}_N{w}_N({\mathrm{\&Delta;}}_N-{\mathrm{\&Delta;}}_{N-1})+{\mathrm{\&Phi;}}_N+{\mathrm{\&Phi;}}_{N-1}^{\left(N\right)}---\left(28\right)$

Wherein

With

Be estimated frequency error and phase estimation error;

(4-7) repeat above-mentioned steps (4-5)-(4-6), spaced antenna B in the spaced antenna set in obtaining bunch _iReverse transfer crystal oscillator frequency and the phase place estimated be:

${\hat{w}}_i={\mathrm{\&alpha;}}_{i+1}{\hat{w}}_{i+1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_N{w}_N/{\mathrm{\&alpha;}}_i---\left(29\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_N{w}_N({\mathrm{\&Delta;}}_{i+1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i+1}={\mathrm{\&alpha;}}_N{w}_N({\mathrm{\&Delta;}}_N-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_N;---\left(30\right)$

(4-8) according to above-mentioned obtain bunch in the fl transmission estimated result and the reverse transfer estimated result of spaced antenna, then spaced antenna B _iFinal local crystal oscillator frequency and the phase place estimated are:

${\hat{w}}_i=({\mathrm{\&alpha;}}_1{\mathrm{<figure-callout\; id="1"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_1+{\mathrm{\&alpha;}}_N{w}_N)/{\mathrm{\&alpha;}}_i---\left(31\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&alpha;}}_N{w}_N({\mathrm{\&Delta;}}_N-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1+{\mathrm{\&Phi;}}_N---\left(32\right)$

And obtain spaced antenna B based on unified overall reference time t _iLocal crystal oscillator signal be:

ψ _i(t)＝exp{j((α ₁w ₁+α _Nw _N)t+λ ₁+λ _N)}，i＝1，2，...，N-1，N (33)

λ wherein _n=α _nw _nΔ _n+ Φ _n

(4-9) according to spaced antenna B in above-mentioned bunch _iLocal crystal oscillator frequency and the estimated value of phase place, obtain p bunch bunch in the spaced antenna set

The synchronized result of local crystal oscillator signal be:

${\mathrm{\&psi;}}_n^{\left(p\right)}\left(t\right)=\exp \left\{j(({\mathrm{\&alpha;}}_1^{\left(p\right)}{w}_1^{\left(p\right)}+{\mathrm{\&alpha;}}_N^{\left(p\right)}{w}_N^{\left(p\right)})t+{\mathrm{\&lambda;}}_1^{\left(p\right)}+{\mathrm{\&lambda;}}_N^{\left(p\right)})\right\},$ p＝1，2，...，P，n＝1，2，...，N； (34)

(4-10) because p bunch bunch representative antennas

With a bunch representative antennas In above-mentioned (3) step, finish the synchronous of local crystal oscillator, so the P in the whole system bunch is total to M spaced antenna deadline Frequency Synchronization with bunch representative antennas of other bunches.Be about to obtain in above-mentioned formula (18) the substitution formula (34) that the final synchronized result of all spaced antennas is in the whole system:

${\mathrm{\&psi;}}_n^{\left(p\right)}\left(t\right)=\exp \left\{j\right[2({\mathrm{\&alpha;}}_1^{\left(1\right)}{w}_1^{\left(1\right)}+{\mathrm{\&alpha;}}_N^{\left(P\right)}{w}_N^{\left(P\right)})t+2({\mathrm{\&lambda;}}_1^{\left(P\right)}+{\mathrm{\&lambda;}}_N^{\left(P\right)})\left]\right\},$ p＝1，2，...，P，n＝1，2，...，N。(35)

In the radio communication that the present invention proposes based on bunch distributed antenna time frequency synchronizing method, its advantage is:

1, time frequency synchronizing method of the present invention by with the sub-district sub-clustering, makes a plurality of bunches to carry out simultaneously under the prerequisite that guarantees higher synchronization accuracy, having reduced total lock in time synchronously, has accelerated synchronizing speed.

If total M=PN of the spaced antenna number in the whole system, a basic transmission time slot in the synchronizing process is 1.Directly the two-way poll method for synchronous of utilization realizes that the time overhead of global synchronization is T _Tot=2M-2 is along with the linear growth trend of spaced antenna number M in the whole system.And expense lock in time of utilization institute of the present invention extracting method is

Promptly the spaced antenna number when each bunch of choose reasonable is

The time, required lock in time, expense was only with the linear growth trend of square root of the spaced antenna number M in the whole system.

2, time frequency synchronizing method of the present invention, it is synchronous earlier bunch representative antennas of each bunch to be carried out temporal frequency, and then the cooperation of the distributed bidirectional in carrying out bunch can obtain higher synchronous accuracy synchronously, can satisfy the requirement of DWCS/wireless communication systems such as multi-base station cooperative wireless communication system to synchronization accuracy.

3, time frequency synchronizing method of the present invention, utilization based on bunch distributed antenna time frequency synchronizing method, can make a plurality of spaced antennas with before terminal use's (as cellphone subscriber, mobile device etc.) communicates by letter, the temporal frequency of finishing in advance between the spaced antenna is synchronous, avoid the terminal use to carry out repeatedly synchronous with a plurality of spaced antennas respectively, and only need to finish synchronously with a spaced antenna, just can reach synchronous with the temporal frequency of the spaced antenna of all participation collaboration communications.Reduce terminal use's system resource overhead, improved the reliability of communication.

Description of drawings

Fig. 1 is the FB(flow block) of the inventive method.

Fig. 2 is a bunch division model schematic diagram in one embodiment of the present of invention.

Fig. 3 is the distributed bidirectional of bunch representative antennas set among Fig. 2 synchronous schematic diagram of cooperating.

Embodiment

Below in conjunction with Fig. 1 introduce in the radio communication that the present invention proposes based on bunch an embodiment of distributed antenna time frequency synchronizing method.The present invention sends out among the embodiment, and the central controller of wireless communication system connects 21 spaced antennas, and concrete steps are as follows:

(1) M=21 spaced antenna is divided into bunch, bunch uses the p mark, total P=3 bunch, spaced antenna n mark in bunch has N=7 spaced antenna in each bunch.N antenna in p bunch used Expression, then the set of the spaced antenna of each bunch is

P=1,2,3, Fig. 2 has provided a model instance of bunch division, and wherein spaced antenna 1 and spaced antenna 7 are a bunch representative antennas;

(2) from 7 spaced antennas of above-mentioned each bunch, choose spaced antenna

With

As a bunch representative antennas, then adjacent 3 bunches produce 6 bunches of representative antennas;

(3) all bunch representative antennas are carried out the distributed bidirectional cooperation synchronously, detailed process is as follows:

(3-1) above-mentioned all bunch representative antennas are numbered the back ordering, form a bunch representative antennas set

Be abbreviated as { A ₁, A ₂, A ₃, A ₄, A ₅, A ₆, as shown in Figure 3;

(3-2) by a bunch representative antennas A ₁To a bunch representative antennas A ₂Send sinusoidal signal, A by that analogy ₁→ A ₂→ ... → A ₅→ A ₆, be designated as fl transmission; After the forward direction end of transmission, by a bunch representative antennas A ₆Send identical sinusoidal signal to bunch representative antennas A ₅, A by that analogy ₆→ A ₅→ ... → A ₂→ A ₁, being designated as reverse transfer, fl transmission and reverse transfer take 10 units altogether and propagate time slot, wherein time slot { T ⁽¹⁾, T ⁽²⁾, T ⁽³⁾, T ⁽⁴⁾, T ⁽⁵⁾Be that the fl transmission time slot is gathered time slot { T ⁽⁶⁾, T ⁽⁷⁾, T ⁽⁸⁾, T ⁽⁹⁾, T ⁽¹⁰⁾Be that the reverse transfer time slot is gathered;

(3-3) at above-mentioned fl transmission time slot T ⁽¹⁾In, bunch representative antennas A ₁The signal indication that sends is:

s ₁ ⁽¹⁾(t)＝exp{j(w ₁t ₁+Φ ₁)}

W wherein ₁Be a bunch representative antennas A ₁Local crystal oscillator frequency, Φ ₁Phase place for local crystal oscillator;

Then, bunch representative antennas A ₂Reception is from a bunch representative antennas A ₁Signal, this signal is with bunch representative antennas A ₂Local zone time t ₂Be expressed as:

$r_2^{\left(1\right)}\left(t_2\right)={\mathrm{<figure-callout\; id="1"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">\; <figure-callout\; id="2"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">H</figure-callout>\; </figure-callout>}}_{\mathrm{1,2}}\exp \left\{j({\mathrm{\&alpha;}}_1{w}_1({\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">t</figure-callout>}}_2/{\mathrm{\&alpha;}}_2+{\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1)\right\}+{\mathrm{\&omega;}}_2^{\left(1\right)}\left(t_2\right)$

H wherein _1,2For from a bunch representative antennas A ₁To bunch representative antennas A ₂Channel Transmission gain, and set fl transmission and the back is symmetry equivalent to the channel transmitted transmission gain,

Be a bunch representative antennas A ₂At T ⁽¹⁾In the noise that receives, then bunch representative antennas A ₂Estimate that the crystal oscillator frequency and the phase place that obtain are:

${\hat{w}}_2^{\left(1\right)}=({\mathrm{\&alpha;}}_1{\mathrm{<figure-callout\; id="1"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_1+{\tilde{w}}_2^{\left(1\right)})/{\mathrm{\&alpha;}}_2$

${\widehat{\mathrm{\&Phi;}}}_2^{\left(1\right)}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1+{\widetilde{\mathrm{\&Phi;}}}_2^{\left(1\right)}$

Wherein

With

Be estimated frequency error and phase estimation error;

(3-4) repeat above-mentioned steps (3-2)-(3-3), obtain a bunch representative antennas A _iFl transmission crystal oscillator frequency and the phase place estimated be:

${\hat{w}}_i={\mathrm{\&alpha;}}_{i-1}{\hat{w}}_{i-1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_1{\mathrm{<figure-callout\; id="1"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_1/{\mathrm{\&alpha;}}_i$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_{i-1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i-1}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1$

(3-5) reverse transfer is by a bunch representative antennas A ₆Initiate, up to time slot T ⁽¹⁰⁾In bunch representative antennas A ₁Receive till the final signal;

(3-6) at above-mentioned reverse transfer time slot T ⁽⁶⁾In, bunch representative antennas A ₆The signal indication that sends is:

s ₆ ⁽⁶⁾(t)＝exp{j(w ₆t ₆+Φ ₆)} (36)

W wherein ₆Be a bunch representative antennas A ₆Local crystal oscillator frequency, Φ ₆Phase place for local crystal oscillator;

Then, bunch representative antennas A ₅Reception is from a bunch representative antennas A ₆Signal, this signal is with bunch representative antennas A ₅Local zone time t ₅Be expressed as:

$r_5^{\left(6\right)}\left(t_5\right)={\mathrm{<figure-callout\; id="6"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">\; <figure-callout\; id="5"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">H</figure-callout>\; </figure-callout>}}_{\mathrm{6,5}}\exp \left\{j({\mathrm{\&alpha;}}_6{w}_6({\mathrm{<figure-callout\; id="5"\; label="t"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">t</figure-callout>}}_5/{\mathrm{\&alpha;}}_5+{\mathrm{\&Delta;}}_6-{\mathrm{\&Delta;}}_5)+{\mathrm{\&Phi;}}_6)\right\}+{\mathrm{\&omega;}}_5^{\left(6\right)}\left(t_5\right)---\left(37\right)$

H wherein _6,5For from a bunch representative antennas A ₆To bunch representative antennas A ₅Transmission channel gain,

Be a bunch representative antennas A ₅At T ⁽⁶⁾In the noise that receives, then bunch representative antennas A ₅Estimate that the crystal oscillator frequency and the phase place that obtain are:

${\hat{w}}_5^{\left(6\right)}=({\mathrm{\&alpha;}}_6{\mathrm{<figure-callout\; id="6"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_6+{\tilde{w}}_5^{\left(6\right)})/{\mathrm{\&alpha;}}_5---\left(38\right)$

${\widehat{\mathrm{\&Phi;}}}_5^{\left(6\right)}={\mathrm{\&alpha;}}_6{w}_6({\mathrm{\&Delta;}}_6-{\mathrm{\&Delta;}}_5)+{\mathrm{\&Phi;}}_6+{\widetilde{\mathrm{\&Phi;}}}_5^{\left(6\right)}---\left(39\right)$

Wherein

With

Be estimated frequency error and phase estimation error;

(3-7) repeat above-mentioned steps (3-5)-(3-6), obtain a bunch representative antennas A _iReverse transfer crystal oscillator frequency and the phase place estimated be:

${\hat{w}}_i={\mathrm{\&alpha;}}_{i+1}{\hat{w}}_{i+1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_6{\mathrm{<figure-callout\; id="6"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_6/{\mathrm{\&alpha;}}_i---\left(40\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_6{w}_6({\mathrm{\&Delta;}}_{i-1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i+1}={\mathrm{\&alpha;}}_6{w}_6({\mathrm{\&Delta;}}_6-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_6---\left(41\right)$

(3-8) according to the fl transmission estimated result and the reverse transfer estimated result of above-mentioned each that obtains bunch representative antennas, bunch representative antennas A then _iFinal local crystal oscillator frequency and the phase place estimated are:

${\hat{w}}_i=({\mathrm{\&alpha;}}_1{\mathrm{<figure-callout\; id="1"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_1+{\mathrm{\&alpha;}}_6{w}_6)/{\mathrm{\&alpha;}}_i---\left(42\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&alpha;}}_6{w}_6({\mathrm{\&Delta;}}_6-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1+{\mathrm{\&Phi;}}_6---\left(43\right)$

And obtain bunch representative antennas A based on unified overall reference time t _iLocal crystal oscillator signal be:

ψ _i(t)＝exp{j((α ₁w ₁+α ₆w ₆)t+λ ₁+λ ₆)}，i＝1，2，3，4，5，6 (44)

λ wherein _n=α _nw _nΔ _n+ Φ _n

(3-9) according to above-mentioned bunch of representative antennas A _iLocal crystal oscillator frequency and the estimated value of phase place, obtain the set of bunch representative antennas The synchronized result of local crystal oscillator signal be:

${\mathrm{\&psi;}}_n^{\left(p\right)}\left(t\right)=\exp \left\{j(({\mathrm{\&alpha;}}_1^{\left(1\right)}{w}_1^{\left(1\right)}+{\mathrm{\&alpha;}}_7^{\left(3\right)}{w}_7^{\left(3\right)})t+{\mathrm{\&lambda;}}_1^{\left(3\right)}+{\mathrm{\&lambda;}}_7^{\left(3\right)})\right\},$ p＝1，2，3，n＝1，2，...，7 (45)

(4) according to the synchronized result of bunch representative antennas between above-mentioned each bunch, then, the distributed bidirectional cooperation between a plurality of spaced antennas in being initiated bunch by bunch representative antennas of each bunch synchronously, 7 spaced antennas with p bunch are example, p=1,2,3, concrete steps are as follows:

(4-1) after finishing the set synchronously of bunch representative antennas, to bunch in 7 spaced antennas be numbered the back ordering, form the spaced antenna set

Be abbreviated as { B ₁, B ₂..., B ₇, spaced antenna wherein

Be two bunches of representative antennas of this bunch;

(4-2) by bunch in spaced antenna B ₁To spaced antenna B ₂Send sinusoidal signal, B by that analogy ₁→ B ₂→ ... → B ₆→ B ₇, be designated as fl transmission; After the forward direction end of transmission, by spaced antenna B ₇Send identical sinusoidal signal to spaced antenna B ₆, B by that analogy ₇→ B ₆→ ... → B ₂→ B ₁, being designated as reverse transfer, fl transmission and reverse transfer take 12 units altogether and propagate time slot, wherein time slot

Be the set of fl transmission time slot, time slot

Be the set of reverse transfer time slot;

(4-3) at above-mentioned fl transmission time slot

In, spaced antenna B ₁The signal indication that sends is:

x ₁ ⁽¹⁾(t)＝exp{j(w ₁t ₁+Φ ₁)}

W wherein ₁Be spaced antenna B ₁Local crystal oscillator frequency, Φ ₁Phase place for local crystal oscillator;

Spaced antenna B ₂Reception is from spaced antenna B ₁Signal, this signal spaced antenna B ₂Local zone time t ₂Be expressed as:

$y_2^{\left(1\right)}\left(t_2\right)={\mathrm{<figure-callout\; id="1"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">\; <figure-callout\; id="2"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">H</figure-callout>\; </figure-callout>}}_{\mathrm{1,2}}\exp \left\{j({\mathrm{\&alpha;}}_1{w}_1({\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">t</figure-callout>}}_2/{\mathrm{\&alpha;}}_2+{\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1)\right\}+{\mathrm{\&Phi;}}_2^{\left(1\right)}\left(t_2\right)$

H wherein _1,2For from spaced antenna B ₁To spaced antenna B ₂Channel Transmission gain, and set fl transmission and the back is symmetry equivalent to the channel transmitted transmission gain,

Be spaced antenna B ₂

In the noise that receives, then spaced antenna B ₂Estimate that the crystal oscillator frequency and the phase place that obtain are:

${\hat{w}}_2^{\left(1\right)}=({\mathrm{\&alpha;}}_1{\mathrm{<figure-callout\; id="1"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_1+{\tilde{w}}_2^{\left(1\right)})/{\mathrm{\&alpha;}}_2$

${\widehat{\mathrm{\&Phi;}}}_2^{\left(1\right)}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1+{\widetilde{\mathrm{\&Phi;}}}_2^{\left(1\right)}$

Wherein

With

Be estimated frequency error and phase estimation error;

(4-4) repeat above-mentioned steps (4-2)-(4-3), spaced antenna B in the spaced antenna set in obtaining bunch _iFl transmission crystal oscillator frequency and the phase place estimated be:

${\hat{w}}_i={\mathrm{\&alpha;}}_{i-1}{\hat{w}}_{i-1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_1{\mathrm{<figure-callout\; id="1"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_1/{\mathrm{\&alpha;}}_i$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_{i-1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i-1}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1$

(4-5) reverse transfer is by spaced antenna B ₇Initiate, up to time slot

Middle spaced antenna B ₁Receive till the final signal;

(4-6) at above-mentioned reverse transfer time slot

In, spaced antenna B ₂The signal indication that sends is:

x ₇ ⁽⁷⁾(t)＝exp{j(w ₇t ₇+Φ ₇)} (46)

W wherein ₇Be spaced antenna B ₇Local crystal oscillator frequency, Φ ₇Phase place for local crystal oscillator;

Spaced antenna B ₆Reception is from spaced antenna B ₇Signal, this signal spaced antenna B ₆Local zone time t ₆Be expressed as:

$y_6^{\left(7\right)}\left(t_6\right)={\mathrm{<figure-callout\; id="7"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">\; <figure-callout\; id="6"\; label="H"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">H</figure-callout>\; </figure-callout>}}_{\mathrm{7,6}}\exp \left\{j({\mathrm{\&alpha;}}_7{w}_7({\mathrm{<figure-callout\; id="6"\; label="t"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">t</figure-callout>}}_6/{\mathrm{\&alpha;}}_6+{\mathrm{\&Delta;}}_7-{\mathrm{\&Delta;}}_6)+{\mathrm{\&Phi;}}_7)\right\}+{\mathrm{\&omega;}}_6^{\left(7\right)}\left(t_6\right)---\left(47\right)$

H wherein _7,6For from spaced antenna B ₇To spaced antenna B ₆Transmission channel gain,

Be spaced antenna B ₆

In the noise that receives, then spaced antenna B ₆Estimate that the frequency and the phase place that obtain are

${\hat{w}}_6^{\left(7\right)}=({\mathrm{\&alpha;}}_7{\mathrm{<figure-callout\; id="7"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_7+{\tilde{w}}_6^{\left(7\right)})/{\mathrm{\&alpha;}}_6---\left(48\right)$

${\widehat{\mathrm{\&Phi;}}}_6^{\left(7\right)}={\mathrm{\&alpha;}}_7{w}_7({\mathrm{\&Delta;}}_7-{\mathrm{\&Delta;}}_6)+{\mathrm{\&Phi;}}_7+{\widetilde{\mathrm{\&Phi;}}}_6^{\left(7\right)}---\left(49\right)$

Wherein

With Be estimated frequency error and phase estimation error;

(4-7) repeat above-mentioned steps (4-5)-(4-6), spaced antenna B in the spaced antenna set in obtaining bunch _iReverse transfer crystal oscillator frequency and the phase place estimated be:

${\hat{w}}_i={\mathrm{\&alpha;}}_{i+1}{\hat{w}}_{i+1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_7{\mathrm{<figure-callout\; id="7"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_7/{\mathrm{\&alpha;}}_i---\left(50\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_7{w}_7({\mathrm{\&Delta;}}_{i+1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i+1}={\mathrm{\&alpha;}}_7{w}_7({\mathrm{\&Delta;}}_7-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_7---\left(51\right)$

(4-8) according to above-mentioned obtain bunch in the fl transmission estimated result and the reverse transfer estimated result of spaced antenna, then spaced antenna B _iFinal local crystal oscillator frequency and the phase place estimated are:

${\hat{w}}_i=({\mathrm{\&alpha;}}_1{\mathrm{<figure-callout\; id="1"\; label="w"\; filenames="HSA00000141617400021.png"\; state="\{\{state\}\}">w</figure-callout>}}_1+{\mathrm{\&alpha;}}_7{w}_7)/{\mathrm{\&alpha;}}_i---\left(52\right)$

${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&alpha;}}_7{w}_7({\mathrm{\&Delta;}}_7-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1+{\mathrm{\&Phi;}}_7---\left(53\right)$

And obtain spaced antenna B based on unified overall reference time t _iLocal crystal oscillator signal be:

ψ _i(t)＝exp{j((α ₁w ₁+α ₇w ₇)t+λ ₁+λ ₇)}，i＝1，2，...，7 (54)

λ wherein _n=α _nw _nΔ _n+ Φ _n

(4-9) according to spaced antenna B in above-mentioned bunch _iLocal crystal oscillator frequency and the estimated value of phase place, obtain p bunch bunch in the spaced antenna set The synchronized result of local crystal oscillator signal be:

${\mathrm{\&psi;}}_n^{\left(p\right)}\left(t\right)=\exp \left\{j(({\mathrm{\&alpha;}}_1^{\left(p\right)}{w}_1^{\left(p\right)}+{\mathrm{\&alpha;}}_7^{\left(p\right)}{w}_7^{\left(p\right)})t+{\mathrm{\&lambda;}}_1^{\left(p\right)}+{\mathrm{\&lambda;}}_7^{\left(p\right)})\right\},$ p＝1，2，3，n＝1，2，...，7 (55)

(4-10) because p bunch bunch representative antennas

With a bunch representative antennas

In above-mentioned (3) step with bunch representative antennas of other bunches finish local crystal oscillator synchronously, so in the whole system 3 bunches totally 21 spaced antenna deadline Frequency Synchronization.Be about to obtain in above-mentioned formula (45) the substitution formula (55) that the final synchronized result of all spaced antennas is in the whole system:

${\mathrm{\&psi;}}_n^{\left(p\right)}\left(t\right)=\exp \left\{j\right[2({\mathrm{\&alpha;}}_1^{\left(1\right)}{w}_1^{\left(1\right)}+{\mathrm{\&alpha;}}_7^{\left(3\right)}{w}_7^{\left(3\right)})t+2({\mathrm{\&lambda;}}_1^{\left(3\right)}+{\mathrm{\&lambda;}}_7^{\left(3\right)})\left]\right\},$ p＝1，2，3，n＝1，2，...，7。(56)

Claims (1)

1. In the radio communication based on bunch distributed antenna time frequency synchronizing method, it is characterized in that this method may further comprise the steps:

   (1) spaced antenna of the M=PN in the wireless communication system is divided into P bunch, p=1,2 ..., P, the spaced antenna number in each bunch are N, n=1, and 2 ..., N, n spaced antenna usefulness in p bunch Expression, then the spaced antenna set is in every bunch

   

   Setting up departments, the unified reference clock signal of spaced antenna is Ψ (t)=exp{j (Ω t+ Φ) in the system }, wherein Ω is the frequency of local crystal oscillator, and t is the unified overall reference time, and Φ is the phase place of local crystal oscillator.Owing to there is the deviation of local crystal oscillator, thus in the system any one spaced antenna i local crystal oscillator signal indication be:

   ψ _i(t)＝exp{j(Ω _it+Φ _i+n _i(t))}，i＝1，2，...，M-1，M (1)

   Ω in the following formula _iBe local crystal oscillator frequency, Φ _iThe phase place of representing local crystal oscillator, n _i(t) be the noise jamming of local crystal oscillator; According to above-mentioned (1) formula, obtain that the current local zone time of any one spaced antenna i is in the said system:

   t _i＝(Ω _it+Φ _i+n _i(t))/Ω＝α _i(t+Δ _i(t))，i＝1，2，...，M-1，M (2)

   α wherein _i=Ω _l/ Ω, the ratio of the local crystal oscillator frequency of any one spaced antenna i and unified overall crystal oscillator frequency in the expression system; Δ _i(t)=(Φ _i+ n _i(t))/Ω _i, the local zone time deviation of any one spaced antenna i in the expression system considers that the local clock deviation is a fixed value in a unit propagates time slot, then the local zone time t of any one spaced antenna i in the system _iWith the overall situation reference time t relational expression be t _i=t+ Δ _i

   (2) from N the spaced antenna of above-mentioned each bunch, choose 2 spaced antennas

   

   With

   

   As a bunch representative antennas, then adjacent P bunch produces 2P bunch representative antennas;

   (3) above-mentioned all bunch representative antennas are carried out the distributed bidirectional cooperation synchronously, detailed process is as follows:

   (3-1) above-mentioned all bunch representative antennas are numbered the back ordering, form a bunch representative antennas set

   

   Be abbreviated as { A ₁, A ₂..., A _2P-1, A _2P;

   (3-2) by a bunch representative antennas A ₁To a bunch representative antennas A ₂Send sinusoidal signal, A by that analogy ₁→ A ₂→ ... → A _2P-1→ A _2P, be designated as fl transmission; After the forward direction end of transmission, by a bunch representative antennas A _2PSend identical sinusoidal signal to bunch representative antennas A _2P-1, A by that analogy _2P→ A _2P-1→ ... → A ₂→ A ₁, being designated as reverse transfer, fl transmission and reverse transfer take 4P-2 unit altogether and propagate time slot, wherein time slot { T ⁽¹⁾, T ⁽²⁾..., T ^(2P-2), T ^(2P-1)Be that the fl transmission time slot is gathered time slot { T ^(2P), T ^(2P+1)..., T ^(4P-3), T ^(4P-2)Be that the reverse transfer time slot is gathered; (3-3) at above-mentioned fl transmission time slot T ⁽¹⁾In, bunch representative antennas A ₁The signal indication that sends is:

   s ₁ ⁽¹⁾(t)＝exp{j(w ₁t ₁+Φ ₁)} (3)

   W wherein ₁Be a bunch representative antennas A ₁Local crystal oscillator frequency, Φ ₁Phase place for local crystal oscillator;

   Bunch representative antennas A ₂Reception is from a bunch representative antennas A ₁Signal, this signal is with bunch representative antennas A ₂Local zone time t ₂Be expressed as:

   $r_2^{\left(1\right)}\left(t_2\right)=H_{\mathrm{1,2}}\exp \{j\left({\mathrm{\&alpha;}}_1{w}_1(t_2/{\mathrm{\&alpha;}}_2+{\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1)\right\}+{\mathrm{\&omega;}}_2^{\left(1\right)}\left(t_2\right)---\left(4\right)$

   H wherein _1,2For from a bunch representative antennas A ₁To bunch representative antennas A ₂Channel Transmission gain, and set fl transmission and the back is symmetry equivalent to the channel transmitted transmission gain,

   

   Be a bunch representative antennas A ₂At T ⁽¹⁾In the noise that receives, then bunch representative antennas A ₂Estimate that the crystal oscillator frequency and the phase place that obtain are:

   ${\hat{w}}_2^{\left(1\right)}=({\mathrm{\&alpha;}}_1{w}_1+{\tilde{w}}_2^{\left(1\right)})/{\mathrm{\&alpha;}}_2---\left(5\right)$

   ${\widehat{\mathrm{\&Phi;}}}_2^{\left(1\right)}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1+{\widetilde{\mathrm{\&Phi;}}}_2^{\left(1\right)}---\left(6\right)$

   Wherein

   

   With

   

   Be estimated frequency error and phase estimation error;

   (3-4) repeat above-mentioned steps (3-2)-(3-3), the crystal oscillator frequency and the phase place that obtain the fl transmission estimation of bunch representative antennas Ai are:

   ${\hat{w}}_i={\mathrm{\&alpha;}}_{i-1}{\hat{w}}_{i-1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_1{w}_1/{\mathrm{\&alpha;}}_i---\left(7\right)$

   ${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_{i-1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i-1}=a_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1;---\left(8\right)$

   (3-5) reverse transfer is by a bunch representative antennas A _2PBeginning is up at reverse transfer time slot T ^(4p-2)Intra-cluster representative antennas A ₁Receive till the final signal;

   (3-6) at above-mentioned reverse transfer time slot T ^(2P)In, bunch representative antennas A _2PThe signal indication that sends is:

   s _2P ^(2P)(t)＝exp{j(w _2Pt _2P+Φ _2P)} (9)

   W wherein _2PBe a bunch representative antennas A _2PLocal crystal oscillator frequency, Φ _2PPhase place for local crystal oscillator;

   Bunch representative antennas A _2P-1Reception is from a bunch representative antennas A _2PSignal, this signal is with bunch representative antennas A _2P-1Local zone time t _2p-1Be expressed as:

   $r_{2P-1}^{\left(2P\right)}\left(t_{2P-1}\right)=H_{2P,2P-1}\exp \left\{j({\mathrm{\&alpha;}}_{2P}{w}_{2P}(t_{2P-1}/{\mathrm{\&alpha;}}_{2P-1}+{\mathrm{\&Delta;}}_{2P}-{\mathrm{\&Delta;}}_{2P-1})+{\mathrm{\&Phi;}}_{2P})\right\}+{\mathrm{\&omega;}}_{2P-1}^{\left(2P\right)}\left(t_{2P-1}\right)---\left(10\right)$

   H wherein _{2P, 2P-1}For from a bunch representative antennas A _2PTo bunch representative antennas A _2P-1Transmission channel gain,

   

   Be a bunch representative antennas A _2P-1At T ^(2P)In the noise that receives, then bunch representative antennas A _2P-1Estimate that the crystal oscillator frequency and the phase place that obtain are:

   ${\hat{w}}_{2P-1}^{\left(2P\right)}=({\mathrm{\&alpha;}}_{2P}{w}_{2P}+{\hat{w}}_{2P-1}^{\left(2P\right)})/{\mathrm{\&alpha;}}_{2P-1}---\left(11\right)$

   ${\widehat{\mathrm{\&Phi;}}}_{2P-1}^{\left(2P\right)}={\mathrm{\&alpha;}}_{2P}{w}_{2P}({\mathrm{\&Delta;}}_{2P}-{\mathrm{\&Delta;}}_{2P-1})+{\mathrm{\&Phi;}}_{2P}+{\widetilde{\mathrm{\&Phi;}}}_{2P-1}^{\left(2P\right)}---\left(12\right)$

   Wherein

   

   With

   

   Be estimated frequency error and phase estimation error;

   (3-7) repeat above-mentioned steps (3-5)-(3-6), obtain a bunch representative antennas A _iReverse transfer crystal oscillator frequency and the phase place estimated be:

   ${\hat{w}}_i={\mathrm{\&alpha;}}_{i+1}{\hat{w}}_{i+1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_{2P}{w}_{2P}/{\mathrm{\&alpha;}}_i---\left(13\right)$

   ${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_{2P}{w}_{2P}({\mathrm{\&Delta;}}_{i+1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i+1}={\mathrm{\&alpha;}}_{2P}{w}_{2P}({\mathrm{\&Delta;}}_{2P}-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_{2P};---\left(14\right)$

   (3-8) according to the fl transmission estimated result and the reverse transfer estimated result of above-mentioned each that obtains bunch representative antennas, bunch representative antennas A then _iFinal local crystal oscillator frequency and the phase place estimated are:

   ${\hat{w}}_i=({\mathrm{\&alpha;}}_1{w}_1+{\mathrm{\&alpha;}}_{2P}{w}_{2P})/{\mathrm{\&alpha;}}_i---\left(15\right)$

   ${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&alpha;}}_{2P}{w}_{2P}({\mathrm{\&Delta;}}_{2P}-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1+{\mathrm{\&Phi;}}_{2P}---\left(16\right)$

   And obtain bunch representative antennas A based on unified overall reference time t _iLocal crystal oscillator signal be:

   ψ _i(t)＝exp{j((α ₁w ₁+α _2Pw _2P)t+λ ₁+λ _2P)}，i＝1，2，...，2P-1，2P (17)

   λ wherein _n=α _nw _nΔ _n+ Φ _n

   (3-9) according to above-mentioned bunch of representative antennas A _iLocal crystal oscillator frequency and the estimated value of phase place, obtain the set of bunch representative antennas

   

   The synchronized result of local crystal oscillator signal be:

   ${\mathrm{\&psi;}}_n^{\left(p\right)}\left(t\right)=\exp \left\{j(({\mathrm{\&alpha;}}_1^{\left(1\right)}{w}_1^{\left(1\right)}+{\mathrm{\&alpha;}}_N^{\left(P\right)}{w}_N^{\left(P\right)})t+{\mathrm{\&lambda;}}_1^{\left(P\right)}+{\mathrm{\&lambda;}}_N^{\left(P\right)})\right\},p=\mathrm{1,2},...,P,n=\mathrm{1,2},...,N;---\left(18\right)$

   (4) according to the synchronized result of bunch representative antennas between above-mentioned each bunch, then, distributed bidirectional cooperation between a plurality of spaced antennas in being initiated bunch by bunch representative antennas of each bunch synchronously, the same in default wherein and method for synchronous and the above-mentioned steps (3) is example with p bunch N spaced antenna, p=1,2, ..., P, concrete steps are as follows:

   (4-1) after finishing the set synchronously of bunch representative antennas, to bunch in N spaced antenna be numbered the back ordering, form spaced antenna and gather

   

   Be abbreviated as { B ₁, B ₂..., B _N, spaced antenna wherein

   

   

   Be two bunches of representative antennas of this bunch;

   (4-2) by bunch in spaced antenna B ₁To spaced antenna B ₂Send sinusoidal signal, B by that analogy ₁→ B ₂→ ... → B _N-1→ B _N, be designated as fl transmission; After the forward direction end of transmission, by spaced antenna B _NSend identical sinusoidal signal to spaced antenna B _N-1, B by that analogy _N→ B _N-1→ ... → B ₂→ B ₁, being designated as reverse transfer, fl transmission and reverse transfer take 2N-2 unit altogether and propagate time slot, wherein time slot

   

   Be the set of fl transmission time slot, time slot Be the set of reverse transfer time slot;

   (4-3) at above-mentioned fl transmission time slot In, the signal indication that spaced antenna B1 sends is:

   x ₁ ⁽¹⁾(t)＝exp{j(w ₁t ₁+Φ ₁)} (19)

   W wherein ₁Be spaced antenna B ₁Local crystal oscillator frequency, Φ ₁Phase place for local crystal oscillator;

   Spaced antenna B ₂Reception is from spaced antenna B ₁Signal, this signal spaced antenna B ₂Local zone time t ₂Be expressed as:

   $y_2^{\left(1\right)}\left(t_2\right)=H_{1,2}\exp \left\{j({\mathrm{\&alpha;}}_1{w}_1(t_2/{\mathrm{\&alpha;}}_2+{\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1)\right\}+{\mathrm{\&omega;}}_2^{\left(1\right)}\left(t_2\right)---\left(20\right)$

   H wherein _1,2For from spaced antenna B ₁To spaced antenna B ₂Channel Transmission gain, and set fl transmission and the back is symmetry equivalent to the channel transmitted transmission gain,

   

   Be spaced antenna B ₂

   

   In the noise that receives, then spaced antenna B ₂Estimate that the crystal oscillator frequency and the phase place that obtain are:

   ${\hat{w}}_2^{\left(1\right)}=({\mathrm{\&alpha;}}_1{w}_1+{\tilde{w}}_2^{\left(1\right)})/{\mathrm{\&alpha;}}_2---\left(21\right)$

   ${\widehat{\mathrm{\&Phi;}}}_2^{\left(1\right)}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_2)+{\mathrm{\&Phi;}}_1+{\widetilde{\mathrm{\&Phi;}}}_2^{\left(1\right)}---\left(22\right)$

   Wherein

   

   With

   

   Be estimated frequency error and phase estimation error;

   (4-4) repeat above-mentioned steps (4-2)-(4-3), spaced antenna B in the spaced antenna set in obtaining bunch _iFl transmission crystal oscillator frequency and the phase place estimated be:

   ${\hat{w}}_i={\mathrm{\&alpha;}}_{i-1}{\hat{w}}_{i-1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_1{w}_1/{\mathrm{\&alpha;}}_i---\left(23\right)$

   ${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_{i-1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i-1}={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1;---\left(24\right)$

   (4-5) reverse transfer is by spaced antenna B _NInitiate, up to time slot

   

   Middle spaced antenna B ₁Receive till the final signal;

   (4-6) at above-mentioned reverse transfer time slot

   

   In, spaced antenna B _NThe signal indication that sends is:

   x _N ^(N)(t)＝exp{j(w _Nt _N+Φ _N)}(25)

   W wherein _NBe spaced antenna B _NLocal crystal oscillator frequency, Φ _NPhase place for local crystal oscillator;

   Spaced antenna B _N-1Reception is from spaced antenna B _NSignal, this signal spaced antenna B _N-1Local zone time t _N-1Be expressed as:

   $y_{N-1}^{\left(N\right)}\left(t_{N-1}\right)=H_{N,N-1}\exp \left\{j({\mathrm{\&alpha;}}_N{w}_N(t_{N-1}/{\mathrm{\&alpha;}}_{N-1}+{\mathrm{\&Delta;}}_N-{\mathrm{\&Delta;}}_{N-1})+{\mathrm{\&Phi;}}_N)\right\}+{\mathrm{\&omega;}}_{N-1}^{\left(N\right)}\left(t_{N-1}\right)---\left(26\right)$

   H wherein _{N, N-1}For from spaced antenna B _NTo spaced antenna B _N-1Transmission channel gain,

   

   Be spaced antenna B _N-1

   

   In the noise that receives, then spaced antenna B _N-1Estimate that the frequency and the phase place that obtain are

   ${\hat{w}}_{N-1}^{\left(N\right)}=({\mathrm{\&alpha;}}_N{w}_N+{\tilde{w}}_{N-1}^{\left(N\right)})/{\mathrm{\&alpha;}}_{N-1}--\left(27\right)$

   ${\widehat{\mathrm{\&Phi;}}}_{N-1}^{\left(N\right)}={\mathrm{\&alpha;}}_N{w}_N({\mathrm{\&Delta;}}_N-{\mathrm{\&Delta;}}_{N-1})+{\mathrm{\&Phi;}}_N+{\widehat{\mathrm{\&Phi;}}}_{N-1}^{\left(N\right)}---\left(28\right)$

   Wherein

   

   With

   

   Be estimated frequency error and phase estimation error;

   (4-7) repeat above-mentioned steps (4-5)-(4-6), spaced antenna B in the spaced antenna set in obtaining bunch _iReverse transfer crystal oscillator frequency and the phase place estimated be:

   ${\hat{w}}_i={\mathrm{\&alpha;}}_{i+1}{\hat{w}}_{i+1}/{\mathrm{\&alpha;}}_i={\mathrm{\&alpha;}}_N{w}_N/{\mathrm{\&alpha;}}_i---\left(29\right)$

   ${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_N{w}_N({\mathrm{\&Delta;}}_{i+1}-{\mathrm{\&Delta;}}_i)+{\widehat{\mathrm{\&Phi;}}}_{i+1}={\mathrm{\&alpha;}}_N{w}_N({\mathrm{\&Delta;}}_N-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_N;---\left(30\right)$

   (4-8) according to above-mentioned obtain bunch in the fl transmission estimated result and the reverse transfer estimated result of spaced antenna, then spaced antenna B _iFinal local crystal oscillator frequency and the phase place estimated are:

   ${\hat{w}}_i=({\mathrm{\&alpha;}}_1{w}_1+{\mathrm{\&alpha;}}_N{w}_N)/{\mathrm{\&alpha;}}_i---\left(31\right)$

   ${\widehat{\mathrm{\&Phi;}}}_i={\mathrm{\&alpha;}}_1{w}_1({\mathrm{\&Delta;}}_1-{\mathrm{\&Delta;}}_i)+{\mathrm{\&alpha;}}_N{w}_N({\mathrm{\&Delta;}}_N-{\mathrm{\&Delta;}}_i)+{\mathrm{\&Phi;}}_1+{\mathrm{\&Phi;}}_N---\left(32\right)$

   And obtain spaced antenna B based on unified overall reference time t _iLocal crystal oscillator signal be:

   ψ _i(t)＝exp{j((α ₁w ₁+α _Nw _N)t+λ ₁+λ _N)}，i＝1，2，...，N-1，N (33)

   λ wherein _n=α _nw _nΔ _n+ Φ _n

   (4-9) according to spaced antenna B in above-mentioned bunch _iLocal crystal oscillator frequency and the estimated value of phase place, obtain p bunch bunch in the spaced antenna set

   

   The synchronized result of local crystal oscillator signal be:

   ${\mathrm{\&psi;}}_n^{\left(p\right)}\left(t\right)=\exp \left\{j(({\mathrm{\&alpha;}}_1^{\left(p\right)}{w}_1^{\left(p\right)}+{\mathrm{\&alpha;}}_N^{\left(p\right)}{w}_N^{\left(p\right)})t+{\mathrm{\&lambda;}}_1^{\left(p\right)}+{\mathrm{\&lambda;}}_N^{\left(p\right)})\right\},p=\mathrm{1,2},...,P,n=\mathrm{1,2},...,N;---\left(34\right)$

   (4-10) because p bunch bunch representative antennas

   

   With a bunch representative antennas

   

   In above-mentioned (3) step, finish the synchronous of local crystal oscillator, so the P in the whole system bunch is total to M spaced antenna deadline Frequency Synchronization with bunch representative antennas of other bunches.Be about to obtain in above-mentioned formula (18) the substitution formula (34) that the final synchronized result of all spaced antennas is in the whole system:

   ${\mathrm{\&psi;}}_n^{\left(p\right)}\left(t\right)=\exp \left\{j\right[2({\mathrm{\&alpha;}}_1^{\left(1\right)}{w}_1^{\left(1\right)}+{\mathrm{\&alpha;}}_N^{\left(P\right)}{w}_N^{\left(P\right)})t+2({\mathrm{\&lambda;}}_1^{\left(P\right)}+{\mathrm{\&lambda;}}_N^{\left(P\right)})\left]\right\},p=\mathrm{1,2},...,P,n=\mathrm{1,2},...,N.---\left(35\right)$

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