CN107623533B - A kind of cognitive radio networks fairness channel hopping method under dynamic environment - Google Patents

A kind of cognitive radio networks fairness channel hopping method under dynamic environment Download PDF

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CN107623533B
CN107623533B CN201710749767.8A CN201710749767A CN107623533B CN 107623533 B CN107623533 B CN 107623533B CN 201710749767 A CN201710749767 A CN 201710749767A CN 107623533 B CN107623533 B CN 107623533B
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CN107623533A (en
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齐小刚
高蓉
刘立芳
张权
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Xian University of Electronic Science and Technology
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Abstract

The invention belongs to cognitive radio networks technical fields, disclose a kind of cognitive radio networks fairness channel hopping method under dynamic environment, fairness channel hopping method FCH_A algorithm under the dynamic environment obtains the number for utilizing Jenkins hash function that ID Hash is not more than to n for one after the id information of user using the id information of channel intersection user;FCH_S generates the step-length of channel search using Joseph ring;The dynamic model of channel, the fairness of guarantee agreement are constructed using Markov process.The present invention has carried out analogue simulation to the fairness of FCH_S and FCH_A and intersection time, in algorithm all channels be selected as intersecting channel probability it is equal, hence it is evident that be better than existing algorithm.

Description

A kind of cognitive radio networks fairness channel hopping method under dynamic environment
Technical field
The invention belongs to the cognition radios under cognitive radio networks technical field more particularly to a kind of dynamic environment Network fairness channel hopping method.
Background technique
With popularizing for wireless device, the increasingly increase of wireless device quantity leads to unauthorized user frequency spectrum resource not Foot, therefore a series of problems such as congestion, delay, reliability be low occur therewith.The frequency spectrum resource of authorized user is not at the same time Some is to fully utilizing.In order to solve this problem, Federal Communications Commission proposes cognitive radio technology, uses Dynamic spectrum access.Cognition wireless network (CRN) is made of the primary user (PU) authorized and unauthorized secondary user's (SU), core Thought wants that primary user (PU) frequency spectrum resource that would sit idle for reasonably is distributed to secondary user's (SU), solves one in secondary network Series of problems.In cognition wireless network (CRN), each secondary user's (SU) are equipped with one or more wireless device transmitters Come perceived spectral cavity.When secondary user's (SU) communication, it is necessary first to which then perceived spectral positions neighbor node on frequency spectrum Establish communication link;The process that two users meet on the same channel, which is referred to as, to be intersected.It is secondary in cognition wireless network to use The utilizability of family channel is with time and spatial variations, and in a distributed system, user does not have other users' Channel state information.Networks different at present provide channel Intersection Arithmetic, use the preferably at most controllable common channel of utilization (CCC) and multichannel frequency hopping (CH).When there is fixed common channel (CCC) in network, (one always by primary user (PU) frequency spectrum cavity-pocket of user occupancy) when, sender and recipient hold consultation on common channel (CCC), then look for one A common channel establishes link.When the channel of selection is occupied by primary user (PU) or signal interference is excessive, sender Common channel (CCC) can be returned with recipient to renegotiate, and re-establish link and then continue to transmit information.When existing in network When this more satisfactory channel, the channel appointment algorithm based on common channel (CCC) is a relative efficiency and easily controllable Method, but this method is since there is also saturation problem and congestions to attack problem for single control channel, and in cognition nothing In gauze network, since each secondary user's of environment of dynamic spectrum perception require to be intersected on a different channel, one is obtained A stable common channel is nearly impossible.When the common channel (CCC) in network be interfered or network in do not deposit At common channel (CCC), multichannel frequency hopping (CH) technology can overcome the problems, such as some of common channel (CCC).CH is calculated Method is that each secondary user's (SU) user scans for according to a special channel frequency-hopping sequences, in secondary user's (SU) can Using multichannel frequency hopping (CH) sequence is utilized in channel, constantly frequency hopping is searched for until realizing that channel intersects.Presently, there are A large amount of channel hopping algorithm can be approximately through following two factor classification: time synchronization and asynchronous, synchronous algorithm Refer to that user starts simultaneously at channel search, however the user in distributed cognition wireless network (CRN) is required to start simultaneously at channel Search is not-so-practical.Therefore it is more likely to assume that network is that asynchronous model is heterogeneous and homogeneity, it is false in homogeneous model If the frequency spectrum perception ability of each user is the perception radius identical and having the same.Homogeneous model include again it is symmetrical and Asymmetric Model, symmetry model refer to that the utilizable channel of all users is the same, otherwise are Asymmetric Models.However it is different User in matter model has different sensing capability and the perception radius, therefore is more biased towards in assuming that network is heterogeneous.Recognizing Know in wireless network (CRN), each secondary user's (SU) can monitor the current availability of the channel near itself.Due to master User's (PU) dynamically accessing and exiting, and the exploitable channel of secondary user's (SU) has following feature (1) spatial diversity, no SUs with geographical location may have different exploitable channels.(2) time difference, the channel of secondary user's (SU) it is available Property may change with the variation of time.Presently, there are cognition wireless network channel intersection document in, it is assumed that user It is fixed in the state of frequency spectrum perception stage enough exploitable channel.But in practice, authorize frequency spectrum using shape State is the activity dynamic change with authorized user.Such as primary user primary user can optionally exchange in television channel, Corresponding different authorization channel is withdrawn in TV channel.Since primary user (PU) user has higher priority, if primary Family (PU) requires to utilize authorization channel, and secondary user's (SU) user needs immediately to discharge the channel, even secondary user's (SU) are used Family is utilizing the channel communication.Therefore the exploitable channel of secondary user's (SU) user perception should be with time change.
In conclusion problem of the existing technology is: channel intersection is an important mistake in cognitive radio networks Journey assumes that user has the exploitable channel set of oneself in current channel Intersection Arithmetic, when the utilizability of channel has Denaturation, subscriber channel utilizability are invariably unrealistic during channel intersects and establishes link;Predict channel Utilizability be to consider the problem to be solved that faces of channel time variation again;In addition, the prediction of channel utilizability is in frequency spectrum Distribution, topology constructing etc. equally exist demand, and accurately channel utilizability prediction can largely improve frequency spectrum The utilization rate of resource, conducive to more stable wireless network is constructed.
Summary of the invention
In view of the problems of the existing technology, the present invention provides the cognitive radio networks under a kind of dynamic environment are fair Property channel hopping method.
The invention is realized in this way the cognitive radio networks fairness channel hopping method institute under a kind of dynamic environment State the cognitive radio networks fairness channel hopping method under dynamic environment include: all users to channels all in network into Row number, and the number of user is all consistent, and then obtains the state vector of channel;FCH_A algorithm utilizes intersection user's Id information obtains the number i for utilizing Jenkins hash function that ID Hash is not more than to n for one after the id information of user, into one It walks the frequency hopping in state vector and searches for the exploitable channel that first number is greater than i, stop algorithm if intersecting successfully, otherwise It is updated using utilizability of the Markov to channel, continues frequency hopping and search for the exploitable channel that first number is greater than i, directly To intersecting successfully;FCH_S algorithm is similar with FCH_A, the difference is that FCH_S generates the step-length of channel search using Joseph ring r.The each frequency hopping search channel number of user is greater than first exploitable channel of jose (n, r, t), until user intersects successfully; Markov process models the dynamic of channel, and Jenkins hash function and Joseph ring make all channels accessed Probability it is identical, the fairness of guarantee agreement.
Further, the FCH_S algorithm includes:
Input: n, r;
(1) t=1, SUAAnd SUBUtilize SUBId information, by Jenkins hash function obtain one be greater than 1 be less than n Integer start;
(2)
(3)SUASerial number is selected to be greater than first exploitable channel of jose (n, r, t) SUBSame selection serial number is greater than first exploitable channel of jose (n, r, t)
(4) if a*=b*, then success is intersected;Otherwise (2) are returned to;
Output: a*
Further, the F FCH_A algorithm includes:
Input n, r;
(1) t=1, SUAAnd SUBUtilize SUBId information, by Jenkins hash function obtain one be greater than 1 be less than n Integer start;
(2)SUASerial number is selected to be greater than first exploitable channel of startSuch as Fruit is not present the exploitable channel greater than start and then selects first exploitable channel since serial number 1;
(3)SUBSame selection serial number is greater than first exploitable channel of start First exploitable channel is then selected since serial number 1 if there is no the exploitable channel greater than start;
(4) if a*=b*, then success is intersected;Otherwise (2) are returned to;
Output: a*
Further, the FCH_A selects the id information of recipient to generate one 1 being uniformly distributed to n by Jenkins Hash Integer start, the probability that number i is selected as start isThe availability p of all channels is phase for specific given user Same, channel i accessed probability is Channel i accessed probability is one can be had no relations about network size and channel using the function and channel number of probability, institute The probability for having channel accessed is equal, and the probability that each channel is chosen to be intersection channel is equal,There is Pi=Pj
The FCH_S produces a random number start using Jenkins Hash, generates a sequence by Joseph ring Column, sequence guarantee that all number traversals are primary in n time, and all serial numbers select identical step-length r to generate according to Joseph process , serial number is fair for each channel number;FCH_S algorithm selects access to be greater than the first of serial number on the basis of sequence A exploitable channel,There is Pi=Pj
Further, ID Hash is the number for being not more than n by the Jenkins hash function, the obtained number after Hash It obeys and is uniformly distributed into n 1.
Further, the FCH_S generates the step-length r of channel search using Joseph ring:
Jose (n, r, t)=jose (n, r, t-1)+(r-1) % (n- (t+1)) jose (n, r, 1)=1.
Further, each channel of the dynamics of channels model all in following two state one of those: idle, shape State 1, occupied, state 0;Converting between state follows a continuous time state space all as the markov of { 0,1 } S= Chain;Indicate that channel m is transferred to the probability of state j from state i,Indicate the probability of channel m leave state i,WithIndicate the state-transition matrix of channel m, Pt mThe i-th row j column element beIndicate letter Road m is transferred to the probability of state j in t moment from state i, and
Advantages of the present invention and good effect are as follows: utilize Markov process, Jenkins hash function and Joseph ring etc. are general Thought obtains the fairness channel hopping agreement that channel status is dynamic change;Consider time synchronization and time asynchronous two kinds of networks Model.The dynamic model that channel is constructed using Markov process, it is special due to Jenkins hash function and Joseph ring Property, it ensure that the fairness of agreement.Assuming that user A and user B are intersected, channel availability is respectively paAnd pb, it was demonstrated that The FCH_S and FCH_A intersection time is respectivelyShow that FCH_S and FCH_A algorithm is bright by simulation result It is aobvious to be superior to H.Tan and HHCH for the spatial diversity problem of channel.
Detailed description of the invention
Fig. 1 is the cognitive radio networks fairness channel hopping method stream under dynamic environment provided in an embodiment of the present invention Cheng Tu.
Fig. 2 is intersection channel statistical figure provided in an embodiment of the present invention;
In figure: (a) time asynchronous network;(b) Time Synchronization Network.
Fig. 3 is the channel intersection time provided in an embodiment of the present invention to compare figure;
In figure: (a) ETTR;(b)MTTR.
Fig. 4 is that channel can illustrate the influence for intersecting the time using probability in asynchronous network provided in an embodiment of the present invention Figure;
In figure: (a) time synchronization;(b) time is asynchronous.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to embodiments, to the present invention It is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, it is not used to Limit the present invention.
Application principle of the invention is explained in detail with reference to the accompanying drawing.
As shown in Figure 1, the cognitive radio networks fairness channel hopping under dynamic environment provided in an embodiment of the present invention Method the following steps are included:
S101:FCH_A algorithm obtains utilization after the id information of user using the id information of channel intersection user The ID Hash can be the number for being not more than n by Jenkins hash function;FCH_S is searched using Joseph ring to generate channel The step-length of rope;
S102: the dynamic model of channel, the fairness of guarantee agreement are constructed using Markov process.
Application principle of the invention is further described with reference to the accompanying drawing.
1, network model considers two user SUAAnd SUBChannel intersect problem, it is assumed that in network share n channel, ID is successively from 1 to n.One binary vectorIndicate the availability status of all channels of t moment of SUA, If channel i in t moment be it is available,It is on the contraryVector BtIt is SUBThe channel of corresponding t moment is available State.Pass through frequency spectrum perception process, SUAAnd SUBKnow the status information of the exploitable channel of itself.In distributed network, SUAAnd SUBOnly know the channel availability status information of itself, in this case it is not apparent that the channel availability status information of other side.
Network environment is dynamic environment, and the channel state information of user is the variation with the time and changes.Assume further that SUAAnd SUBBetween at least exist a public exploitable channel, otherwise two users never realize channel intersect.When each Between piece, it is primary that each user will attempt to access a channel.
Assuming that any time piece, channel i is for user SUAAnd SUBThe probability being available with is respectively paAnd pb.Also It is for SUA, in the case where timeslice channel available mode information before notUseful taAnd tbTable respectively Show SUAAnd SUBLocal zone time, indicate the time difference of two users with δ, about settled SUA and SUB starts to start when frequency hopping search The time required for channel intersects is calculated, assumes t without loss of generalityA=tB+ δ works as SUBIt realizes and intersects in moment t, at this time channel The time of intersection is t, is expressed as T (δ).Therefore maximum intersection time (MTTR) can indicate are as follows:
Averagely intersection time (ETTR) can indicate are as follows:
ETTR (A, B)=E [minT (δ)];
The probability P that the fairness of channel intersection is accessed by the user with channeliTo measure i.e.There is Pi=Pj.Letter Intersection problem in road can indicate are as follows:
2, Jenkins hash function
The id information of channel intersection user is utilized in FCH_A algorithm in the process of implementation.The id information be algorithm and at present Asynchronous algorithm (such as the JS algorithm or ACH algorithm) cooperation of existing time is sent by being sent in the initial stage Hello packet obtains.After the id information for obtaining user using Jenkins hash function can by the ID Hash be one not Number greater than n.Due to the particularity of Jenkins Hash, the obtained number after Hash, which is obeyed 1 into n, to be uniformly distributed.
3, Joseph ring
Joseph is the application problem of a mathematics, in order to avoid the channel of Tan uses inequitable problem, FCH_S benefit The step-length r of channel search is generated with Joseph ring, specific rules are as follows:
Jose (n, r, t)=jose (n, r, t-1)+(r-1) % (n- (t+1)) jose (n, r, 1)=1;
Using the specific example of reducing subspaces formation sequence, wherein n=4, r=2.It is by the sequence that this method generates { 1,3,2,4 }.It is primary that Joseph's cyclic process can guarantee that all numbers can traverse within n time.
4, Markov process
The channel model that the present invention uses is to simplify the dynamics of channels model proposed.Assuming that each channel is all in following two A state one of those: idle (state 1), it is occupied (state 0).Conversion between state all follows a continuous time shape State space is the Markov chain (CTMC) of S={ 0,1 }.Indicate that channel m is transferred to the probability of state j from state i,Table Show the probability of channel m leave state i, that is,WithIndicate the state-transition matrix of channel m, Pt m The i-th row j column element beIndicate that channel m is transferred to the probability of state j in t moment from state i, and
5, channel intersects agreement
The synchronizing channel Intersection Arithmetic (FCH_S) and time asynchronous channel of heterogeneous cognitive radio networks in a dynamic environment Intersection Arithmetic (FCH_A) .FCH_S and FCH_A has been utilized respectively sequence and the Jenkins hash function of Joseph generation to guarantee The fairness of channel is intersected,
5.1 FCH_S
Algorithm 1 assumes user SUATo SUBMessage is sent, two users utilize SUBId information pass through Jenkins hash function It obtains being greater than the 1 integer start for being less than n.Due to the particularity of Jenkins Hash, start obedience 1 to n is uniformly distributed.Into And Joseph formation sequence { jose (n, r, 1), jose (n, r, 2) ..., jose (n, r, t) ... } is utilized, two users are every time Search channel serial number is greater than first number of jose (n, r, t).Such as user SUAIt is A in t moment channel state vectort=[1, 0,0,1], it is assumed that channel state vector will not change at this time, and the Joseph sequence of generation is { 1,3,2,4 }, then user exists First timeslice search sequence number is more than or equal to 1 first exploitable channel 1, and second timeslice search sequence number is greater than First channel equal to 3, and so on, the final search sequence of user is { Isosorbide-5-Nitrae, 4,4 }.Next the phase of analysis FCH_S Answer performance.
Theorem one: under asynchronous cognitive radio networks environment, the average intersection time of FCH_S
It proves: when T=1, existingAndThere is Pr (T=1)=papb
When T=2, existAndNot simultaneously be 1, have Pr (T=2)= papb(1-papb);
When T=3, existAndIt is not simultaneously 1,No Simultaneously it is 1, there is Pr (T=2)=papb(1-papb)2
When (j > 1) T=j, Pr (T=j)=papb(1-papb)j-1
Expectation is asked it
It must demonstrate,prove.
5.2 FCH_A
User does not need the condition of time synchronization during search it can be seen from algorithm 2.Simultaneously the algorithm for Be when channel availability status Information invariability in network it is not applicable, when intersection user be greater than start first exploitable channel Intersection will not be realized when not identical.
For SUASelect channel i and if only if i >=start and channel { start, start+1 ..., i-1 } can state be The state of 0, channel i are 1, and because the generation of start is one 0 being uniformly distributed to n, so user SUASelect channel i's Probability is pa(1-pa)i-start|i≥start.User SUA, SUBThe probability that intersection is realized on channel i is papb(1-pa)i-start (1-pb)i-start| i >=start, SUA, SUBRealize that the probability intersected is in moment t
Theorem 2: under asynchronous cognitive radio networks environment, the average intersection time of FCH_A
It proves: SUA, SUBThe probability of intersection is realized in moment t are as follows:
Similar to theorem one:
When T=1, have
When T=2, have
When T=3, have
When T=j, have
T is asked and is expected to have:
Therefore it must demonstrate,prove.
5.3 fairness analysis
For FCH_A, the id information of recipient is selected to generate the one 1 equally distributed integer start for arriving n by Jenkins Hash, The probability that number i is selected as start isAssuming that the availability p of all channels be for specific given user it is identical, therefore Channel i accessed probability is Channel i accessed probability is one can be had no relations about network size and channel using the function and channel number of probability, because The accessed probability of this all channel is equal, so the probability that each channel is chosen to be intersection channel is equal, i.e.,There is Pi=Pj
One random number start is produced also with Jenkins Hash for FCH_S, and then is produced by Joseph ring A raw sequence, which guarantees that all numbers can traverse once in n time, since the start of generation is random And it is fair, all serial numbers are all that the identical step-length r of selection is generated according to Joseph process, so the serial number is for each channel Number is fair.Selection accesses first exploitable channel for being greater than serial number to FCH_S algorithm on the basis of the sequence in turn, The process is similar with FCH_A, it can therefore be concluded that FCH_A is equally existed:There is Pi=Pj
Application effect of the invention is explained in detail below with reference to emulation.
FCH_S and FCH_A emulate and compare with algorithm H.Tan and algorithm HHCH using MATLAB emulation tool Compared with.H.Tan algorithm is respectively that time synchronization and time asynchronous network provide channel hopping algorithm, and HHCH only has time synchronization Channel Intersection Arithmetic.Assuming that user SUAAnd SUBChannel availability be it is equal, have pa=pb=p. emulation can be from following From the aspect of three: (a) fixed channel availability (p) and channel total number (N) in network count being selected for each channel For the number (F for intersecting channeli);(b) fixed p, changes N;(c) fixed N, changes p. for the value (or value of N) of each p, Simulation result is all the average value counted by 1000 independent operatings.
(a) fixed N, p, change Fi
Simulation parameter setting are as follows: p=0.75, N=50. Fig. 2 (a) and Fig. 2 (b) are respectively that the time is asynchronous and time synchronization network Channel number 1 to 50 under network model is chosen to be the number of intersection channel, it can be seen that algorithm proposed by the present invention is obviously excellent More in H.Tan.Whether its intersection channel only selects number small to the algorithm of H.Tan in time synchronization or time asynchronous network The channel of (less than 5), the number that channel of the number greater than 5 is selected is 0, this does not obviously meet actual conditions.FCH_S and FCH_ Equal (the P of the probability that all channels are selected in Ai=1/n).
(b) fixed N, changes p
Simulation parameter is set as p=0.75, and N increases to 50 from 20.Fig. 3 (a) gives algorithms of different heterogeneous networks model The comparison of time (ETTR) is averagely intersected down.It can be seen that the ETTR of all algorithms floats in a level, no matter and In time synchronization or time asynchronous model, FCH algorithm has preferable performance.In Time Synchronization Network, FCH_S's ETTR floats 1.2 or so, remaining algorithm floats on 1.4 and 2.4.The intersection time of FCH_S is less than H.Tan and HHCH and calculates Method.In time asynchronous network, average intersection time of FCH_A 1.4 or so, H.Tan the average intersection time 2.0 or so It floats and gives maximum intersection time (MTTR) of the algorithms of different under heterogeneous networks model also greater than FCH_A. Fig. 3 (b) Compare figure, variation tendency and Fig. 3 (a) are similar.The reason is that because FCH_S and FCH_A have identical channel list and Each timeslice can choose specific channel.
(c) fixed N, changes p
Simulation parameter setting are as follows: the value of N=50, p increase to 0.9. Fig. 4 (a) from 0.2 and Fig. 4 (b) is set forth not The variation of time is averagely intersected with FCH_S under p and FCH_A.It can be found that channel intersection time (ETTR and MTTR) is with pa's Increase and reduces.Theoretical value in figure is calculated by theorem one and theorem two, and true value is obtained by simulation result It arrives.
The present invention utilizes Joseph ring under conditions of considering cognitive radio networks channel time difference and spatial diversity The network model asynchronous to time synchronization and time devises the channel hopping association of justice a kind of respectively with Jenkins hash function FCH_S is discussed, the average intersection time that FCH_A. passes through analytical proof FCH_S isThe average intersection time of FCH_A isAnalogue simulation, this hair finally have been carried out to the fairness of FCH_S and FCH_A and intersection time using emulation tool In the algorithm of bright proposition all channels be selected as intersect channel probability it is equal, hence it is evident that be better than existing algorithm.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention Made any modifications, equivalent replacements, and improvements etc., should all be included in the protection scope of the present invention within mind and principle.

Claims (4)

1. a kind of cognitive radio networks fairness channel hopping method under dynamic environment, which is characterized in that the dynamic ring Cognitive radio networks fairness channel hopping method under border includes: that channel in network is numbered in user, obtains channel State vector;FCH_A algorithm obtains the id information of user, utilizes Jenkins hash function using the id information of intersection user It is the number i for being not more than n by ID Hash, frequency hopping searches for the exploitable channel that first number is greater than i in state vector; FCH_S algorithm generates the step-length r of channel search using Joseph ring;The each frequency hopping search channel number of user is greater than jose First exploitable channel of (n, r, t), until user intersects successfully;
The FCH_S algorithm includes:
Input: n, r;
(1) t=1, SUAAnd SUBUtilize SUBId information, obtaining one by Jenkins hash function, to be greater than 1 whole less than n Number start;
(2)N indicate network can sharp channel number, r Indicate that step-size in search, t indicate the time;
(3)SUASerial number is selected to be greater than first exploitable channel a of jose (n, r, t)*, Indicate t moment SUAAll channel sets that exploitable channel state is 1;SUBSame selection serial number is greater than jose (n, r, t) First exploitable channel b*, Indicate t moment SUBExploitable channel shape All channel sets that state is 1;
(4) if a*=b*, then success is intersected;Otherwise (2) are returned to;
Output: a*
The FCH_A algorithm includes:
Input n, r;
(1) t=1, SUAAnd SUBUtilize SUBId information, obtaining one by Jenkins hash function, to be greater than 1 whole less than n Number start;
(2)SUASerial number is selected to be greater than first exploitable channel a of start*,If There is no the exploitable channels greater than start, and first exploitable channel is then selected since serial number 1;
(3)SUBSame selection serial number is greater than first exploitable channel b of start*, First exploitable channel is then selected since serial number 1 if there is no the exploitable channel greater than start;
(4) if a*=b*, then success is intersected;Otherwise (2) are returned to;
Output: a*
The FCH_S generates the step-length r of channel search using Joseph ring:
Jose (n, r, t)=jose (n, r, t-1)+(r-1) % (n- (t+1)) jose (n, r, 1)=1.
2. the cognitive radio networks fairness channel hopping method under dynamic environment as described in claim 1, which is characterized in that institute FCH_A algorithm is stated, the id information of recipient is selected to generate the one 1 equally distributed integer start for arriving n by Jenkins Hash, The probability that number i is selected as start isThe availability p of all channels is identical, channel i for specific given user Accessed probability is Channel i accessed probability is one can be had no relations about network size and channel using the function and channel number of probability, institute The probability for having channel accessed is equal, and the probability that each channel is chosen to be intersection channel is equal,There is Pi=Pj
The FCH_S algorithm produces a random number start using Jenkins Hash, generates a sequence by Joseph ring Column, sequence guarantee that all number traversals are primary in n time, and all serial numbers select identical step-length r to generate according to Joseph process , serial number is fair for each channel number;FCH_S algorithm selects access to be greater than the first of serial number on the basis of sequence A exploitable channel,There is Pi=Pj
3. the cognitive radio networks fairness channel hopping method under dynamic environment as described in claim 1, which is characterized in that ID Hash is the number for being not more than n by the Jenkins hash function, and the obtained number after Hash is obeyed uniformly 1 into n Distribution.
4. the cognitive radio networks fairness channel hopping method under dynamic environment as described in claim 1, which is characterized in that Each channel all in following two state one of those: idle, state 1 is occupied, state 0;Conversion between state is all Follow the Markov chain that a continuous time state space is S={ 0,1 };Indicate that channel m is transferred to state j from state i Probability,Indicate the probability of channel m leave state i,WithIndicate that the state of channel m shifts square Battle array, Pt mThe i-th row j column element beIndicate that channel m is transferred to the probability of state j in t moment from state i, and
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