CN108768901B - Method, system and device for detecting interception pilot frequency emitted by illegal user - Google Patents

Method, system and device for detecting interception pilot frequency emitted by illegal user Download PDF

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CN108768901B
CN108768901B CN201810540147.8A CN201810540147A CN108768901B CN 108768901 B CN108768901 B CN 108768901B CN 201810540147 A CN201810540147 A CN 201810540147A CN 108768901 B CN108768901 B CN 108768901B
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time slot
channel
pilot frequency
pilot
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CN108768901A (en
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李斌
刘筱明
崔绍华
赵成林
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Beijing University of Posts and Telecommunications
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Beijing University of Posts and Telecommunications
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202—Channel estimation
    • H04L25/0224—Channel estimation using sounding signals
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04K—SECRET COMMUNICATION; JAMMING OF COMMUNICATION
    • H04K1/00—Secret communication
    • H04K1/003—Secret communication by varying carrier frequency at or within predetermined or random intervals
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04K—SECRET COMMUNICATION; JAMMING OF COMMUNICATION
    • H04K3/00—Jamming of communication; Counter-measures
    • H04K3/80—Jamming or countermeasure characterized by its function
    • H04K3/82—Jamming or countermeasure characterized by its function related to preventing surveillance, interception or detection
    • H04K3/825—Jamming or countermeasure characterized by its function related to preventing surveillance, interception or detection by jamming

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Abstract

The invention discloses a method, a system and a device for detecting eavesdropping pilot frequency emitted by an illegal user, wherein the method comprises the following steps: receiving pilot frequencies transmitted by a legal user and an auxiliary user in a first time slot, receiving the pilot frequency transmitted by the legal user in a second time slot, and receiving the pilot frequency transmitted by the auxiliary user in a third time slot; calculating the reverse channel estimation result according to the pilot frequency received by the first time slot, the second time slot and the third time slot; and determining the channel of the legal user and whether the illegal user transmits the interception pilot frequency according to the calculated reverse channel estimation result. The invention can detect the fraudulent pilot frequency and the illegal user, prevent the interception of the illegal user and ensure the information safety of the legal user.

Description

Method, system and device for detecting interception pilot frequency emitted by illegal user
Technical Field
The invention relates to the technical field of wireless communication, in particular to a method, a system and a device for detecting eavesdropping pilot frequency emitted by an illegal user.
Background
Traditional wireless communication security is based on cryptography, and various encryption algorithms are adopted to ensure data security. With the improvement of computing power, the computing amount of password cracking needs to be continuously increased, and a great burden is caused to a system. Thus, a physical layer security concept is proposed. It uses the uniqueness and reciprocity of physical channel to realize information encryption, generate cipher and identify legal user. It appears as a supplement to upper-level security, greatly enhancing the security performance of the overall system.
However, physical layer security is still under initial research as an emerging communication security technology, and some key problems have not been solved, one of which includes that the communication channel is easy to eavesdrop. Under normal conditions, a legal user transmits a pilot signal to a master user, determines a channel between the master user and the legal user, and performs directional communication by using a beam forming technology to ensure information safety. If the pilot frequency is transmitted to the master user by the legal user and the same pilot frequency signal is transmitted to the master user by the eavesdropping user, the master user generates deviation on the channel estimation of the legal user, and the master user transmits information to the legal user, so the eavesdropping is easy to be carried out by the illegal user. A wide consensus has been reached in many studies to solve this problem, namely to use cooperative interference or coding techniques to improve the security capacity between primary users and legitimate users.
Cooperative interference and coding techniques increase the security of system communications to such an extent that eavesdroppers cannot receive the full information, but this is not an optimal solution. Firstly, the method is only a theoretical research and cannot be applied to a real complex communication environment; second, the secret capacity theory cannot detect the presence of a rogue pilot and thus cannot determine whether an illegal user is present. Only the information received by the legal user and the illegal user is differentiated through a signal processing method, and the information quantity obtained by the illegal user is reduced when the communication of the legal user is ensured. But the illegal user still gets partial information, and if the decryption technology is strong enough, the communication information security is still threatened.
Disclosure of Invention
In view of this, the present invention provides a method, a system, and a device for detecting an illegal user emitting a eavesdropping pilot frequency, which can detect a fraudulent pilot frequency and an illegal user, prevent eavesdropping of the illegal user, and ensure information security of the legal user.
Based on the above object, the present invention provides a method for detecting an illegal user transmitting a eavesdropping pilot frequency, which comprises:
receiving pilot frequencies transmitted by a legal user and an auxiliary user in a first time slot, receiving the pilot frequency transmitted by the legal user in a second time slot, and receiving the pilot frequency transmitted by the auxiliary user in a third time slot;
calculating the reverse channel estimation result according to the pilot frequency received by the first time slot, the second time slot and the third time slot;
and determining the channel of the legal user and whether the illegal user transmits the interception pilot frequency according to the calculated reverse channel estimation result.
Wherein, the calculating of the channel reverse estimation result according to the pilots received in the first, second and third time slots respectively includes:
channel estimation is performed according to expressions one, two, and three as follows:
Figure BDA0001678611420000021
Figure BDA0001678611420000022
Figure BDA0001678611420000023
wherein, YA,N1、YA,N2、YA,N3Respectively representing the channel reverse estimation results calculated according to the pilot frequency received by the first time slot, the second time slot and the third time slot;
Figure BDA0001678611420000024
respectively representing the channel gains of a legal user, an auxiliary user and an illegal user; hBA、HPA、HEARespectively representing a channel between a legal user and a master user, a channel between an auxiliary user and the master user and a channel between an illegal user and the master user; xr,N1、Xr,N2、Xr,N3Respectively representing pilot signals received by a first time slot, a second time slot and a third time slot; u shapeN1、UN2、UN3Respectively representing the noise of the first time slot, the second time slot and the third time slot; h0Indicating channel estimation in the case where no illegal user transmits a fraudulent pilot; h1Indicating channel estimation in the case of a rogue pilot transmitted by an illegal user.
Wherein, the determining the channel of the legal user according to the calculated channel reverse estimation result specifically includes:
estimating the channel of the legal user according to the following expression:
Figure BDA0001678611420000031
wherein the content of the first and second substances,
Figure BDA0001678611420000032
is the estimated channel of the legitimate user.
Wherein, whether there is illegal user to transmit interception pilot frequency is determined according to the following method:
performing channel estimation of an illegal user according to the estimated channel;
and determining whether the illegal user transmits the interception pilot frequency according to the channel estimation result of the illegal user.
Further, after the channel of the legal user is determined according to the calculated channel reverse estimation result, the method further includes:
and according to the estimated channel of the legal user, adopting a corresponding beam forming method to directionally transmit the legal user.
Further, after the determining the channel of the legal user and whether the illegal user transmits the wiretapping pilot frequency according to the calculated channel reverse estimation result, the method further comprises the following steps:
and according to the estimated channel of the illegal user, directionally interfering the illegal user by adopting a corresponding beam forming method.
The invention also provides a detection system for the illegal user to emit the wiretap pilot frequency, which comprises the following steps: a primary user, a legitimate user, and an auxiliary user; wherein the content of the first and second substances,
the legal user is used for transmitting pilot frequency to the master user in a first time slot and a second time slot;
the auxiliary user is used for transmitting pilot frequency to the main user in a first time slot and a third time slot;
the master user is used for respectively calculating the reverse channel estimation result according to the pilot frequency received by the first time slot, the second time slot and the third time slot; and determining the channel of the legal user and whether the illegal user transmits the interception pilot frequency according to the calculated reverse channel estimation result.
The invention also provides a detecting device for the illegal user to emit the wiretap pilot frequency, which comprises:
the pilot frequency receiving module is used for receiving pilot frequencies transmitted by a legal user and an auxiliary user in a first time slot at the same time, the pilot frequencies transmitted by the legal user in a second time slot and the pilot frequencies transmitted by the auxiliary user in a third time slot;
the channel reverse estimation result calculation module is used for calculating the channel reverse estimation results according to the pilot frequencies received by the first time slot, the second time slot and the third time slot;
and the channel estimation module is used for determining the channel of the legal user and whether the illegal user transmits the wiretapping pilot frequency according to the calculated reverse channel estimation result.
Further, the apparatus further comprises:
the directional transmitting module is used for directionally transmitting the legal user by adopting a corresponding beam forming method according to the estimated channel of the legal user;
and the directional interference module is used for directionally interfering the illegal user by adopting a corresponding beam forming method according to the estimated channel of the illegal user.
In the technical scheme of the invention, in a first time slot, pilot frequency transmitted by a legal user and an auxiliary user simultaneously is received; receiving pilot frequency transmitted by a legal user in a second time slot; receiving a pilot frequency transmitted by an auxiliary user in a third time slot; respectively carrying out channel estimation according to the pilot frequency received by the first time slot, the second time slot and the third time slot; and determining whether the illegal user transmits the interception pilot frequency according to the estimated channel. On one hand, because the analysis and detection are only needed according to the pilot frequency in the uplink communication process, the secondary fraud risk is avoided when the uplink and downlink cooperative detection is carried out. On the other hand, the channel estimation is carried out according to the pilot frequency of 3 time slots, so that the legal user channel information and the illegal user channel information can be accurately obtained, the directional communication of the legal user and the directional interference of the illegal user can be realized, and the secrecy capacity can be greatly improved compared with the traditional cooperative interference technology which does not know the specific channel information.
Drawings
Fig. 1 is a schematic diagram of an architecture of a detection system for an illegal user to transmit a wiretap pilot according to an embodiment of the present invention;
fig. 2 is a flowchart of a method for detecting that an illegal user transmits a eavesdropping pilot frequency according to an embodiment of the present invention;
fig. 3a is a schematic diagram of a legal user and an auxiliary user transmitting pilots in different time slots according to an embodiment of the present invention;
fig. 3b is a schematic diagram of a statistical result of an illegal user channel estimation result according to an embodiment of the present invention;
fig. 4 is a block diagram of an internal structure of a detection apparatus for an illegal user to transmit a wiretap pilot according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to specific embodiments and the accompanying drawings.
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the drawings are illustrative only and should not be construed as limiting the invention.
As used herein, the singular forms "a", "an", "the" and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that when an element is referred to as being "connected" or "coupled" to another element, it can be directly connected or coupled to the other element or intervening elements may also be present. Further, "connected" or "coupled" as used herein may include wirelessly connected or wirelessly coupled. As used herein, the term "and/or" includes all or any element and all combinations of one or more of the associated listed items.
It should be noted that all expressions using "first" and "second" in the embodiments of the present invention are used for distinguishing two entities with the same name but different names or different parameters, and it should be noted that "first" and "second" are merely for convenience of description and should not be construed as limitations of the embodiments of the present invention, and they are not described in any more detail in the following embodiments.
The technical solution of the embodiments of the present invention is described in detail below with reference to the accompanying drawings.
The detection system for transmitting the interception pilot frequency by the illegal user provided by the embodiment of the invention, as shown in fig. 1, comprises: primary users 101, legitimate users 102, and secondary users 103.
Wherein, the legal user 102 is used to transmit pilot frequency to the primary user in the first and second time slots;
the secondary user 103 is configured to transmit a pilot to the primary user in a first, three-slot;
the master user 101 is configured to perform channel estimation according to the pilots received in the first, second, and third time slots, and determine whether an illegal user transmits a wiretap pilot according to the estimated channel.
Preferably, the first, second and third time slots may be consecutive time slots; and the sequence of the time slots can be respectively as follows: a first, a second, and a third time slot;
or a first, third, second time slot;
or second, third, a timeslot;
or second, first, third time slots;
or a third, a first, a second time slot;
or a third, second, one time slot.
In the foregoing system, a specific flow of a detection method for an illegal user to transmit a wiretap pilot frequency provided in an embodiment of the present invention is, as shown in fig. 2, including the following steps:
s201: the primary user 101 receives pilots transmitted by legitimate users 102 and/or secondary users 103 in three time slots.
Specifically, as shown in fig. 3a, the primary user 101 may receive the pilot transmitted simultaneously by the legitimate user 102 and the secondary user 103 in the first time slot N1; receiving a pilot transmitted by a legitimate user 102 in a second time slot N2; in a third time slot N3, the pilot transmitted by the secondary user 103 is received.
If the illegal user 104 exists, the illegal user 104 detects the pilot frequency transmitted by the legal user 102 and the auxiliary user 103 in the first time slot, and transmits a fraud pilot frequency; in the second time slot, the illegal user 104 detects the pilot frequency transmitted by the legal user 102 and also transmits a fraudulent pilot frequency; in the third time slot, the illegitimate user 104 detects the pilot transmitted by the legitimate user 102 and also transmits the rogue pilot.
S202: the master user 101 calculates the reverse channel estimation result according to the pilots received in the first, second and third time slots.
Specifically, the primary user 101 calculates the corresponding channel reverse estimation result according to the following expressions one, two, and three, respectively, according to the pilots received in the first, second, and third time slots:
Figure BDA0001678611420000071
Figure BDA0001678611420000072
Figure BDA0001678611420000073
wherein, YA,N1、YA,N2、YA,N3Respectively representing the channel reverse estimation results calculated according to the pilot frequency received by the first time slot, the second time slot and the third time slot;
Figure BDA0001678611420000074
respectively representing the channel gains of the legitimate user 102, the auxiliary user 103 and the illegitimate user 104; hBA、HPA、HEARespectively representing a channel between a legal user 102 and a main user 101, a channel between an auxiliary user 103 and the main user 101, and a channel between an illegal user 104 and the main user 101; xr,N1、Xr,N2、Xr,N3Respectively representing pilot signals received by a first time slot, a second time slot and a third time slot; u shapeN1、UN2、UN3Respectively representing the noise of the first time slot, the second time slot and the third time slot; h0Indicating absence of fraudulent transmission by unauthorized userThe frequency case; h1Indicating a situation where an illegal user transmits a rogue pilot.
It can be seen from the above expressions one, two, and three that the channel reverse estimation results for the first, second, and third time slots are different between the case where there is an illegal user transmitting the fraudulent pilot and the case where there is no illegal user transmitting the fraudulent pilot.
S203: the master user 101 determines the channel of the legitimate user 102 and whether there is an illegal user transmitting the eavesdropping pilot frequency according to the reverse estimation result calculated in the step S202.
In this step, the master user 101 may perform channel estimation of an illegal user according to the channel estimated in step S202; and then determining whether the illegal user transmits the interception pilot frequency according to the channel estimation result of the illegal user.
Specifically, the master user 101 may perform channel estimation of an illegal user according to the following expression four:
Figure BDA0001678611420000075
wherein the content of the first and second substances,
Figure BDA0001678611420000081
the estimated channel of the illegal user; u shapeERepresenting a noise signal, Xr,EIndicating receipt of a rogue pilot signal transmitted by an illegitimate user.
It can be seen from the expression four that the channel estimation is noise when no illegal user transmits the fraudulent pilot frequency, and the channel estimation is the sum of the channel of the illegal user and the noise when the illegal user transmits the fraudulent pilot frequency.
The master user 101 may specifically determine whether an illegal user transmits the eavesdropping pilot frequency according to the following expression five:
Figure BDA0001678611420000082
where γ is a set threshold value, and those skilled in the art can be based on experience or practiceSettings are made as the case may be. As shown in FIG. 3b, a rogue pilot (H) is transmitted without an illegal user0) Under the condition of (1), the statistical result of the channel estimation result of the illegal user obeys 'chi-square distribution'; transmitting fraudulent pilot frequency (H) in the presence of illegal user1) Under the condition of (1), the statistical result of the channel estimation result of the illegal user obeys 'off-center chi-square distribution'; therefore, the technical scheme of the invention estimates the channel of the illegal user
Figure BDA0001678611420000083
And comparing with a threshold value gamma to judge whether an illegal user transmits the interception pilot frequency. Specifically, will
Figure BDA0001678611420000084
Comparing with a threshold value gamma; and judging whether an illegal user emits the eavesdropping pilot frequency according to the comparison result: when in use
Figure BDA0001678611420000085
Judging that an illegal user emits a wiretap pilot frequency;
Figure BDA0001678611420000086
and judging that no illegal user emits the eavesdropping pilot frequency.
In addition, the primary user 101 may also estimate the channel of the legitimate user 102 according to the channel estimated in step S202. Specifically, the primary user 101 may estimate the channel of the legitimate user 102 according to the following expression:
Figure BDA0001678611420000087
wherein the content of the first and second substances,
Figure BDA0001678611420000088
is the estimated channel of the legitimate user 102. As can be seen from the sixth expression, the method can accurately estimate the channels of the legal users no matter whether the illegal users exist or not.
S204: the master user 101 adopts a corresponding beam forming method to directionally transmit the legal user 102 according to the estimated channel of the legal user 102.
After the step S203 estimates the channel of the legitimate user 102, in this step, the master user 101 may use a corresponding beamforming method to directionally transmit the legitimate user 102 according to the estimated channel of the legitimate user 102, so as to avoid eavesdropping of an illegal user and improve the security capacity.
Further, after the step S203 estimates the channel of the illegal user, the master user 101 in this step may also adopt a corresponding beamforming method to directionally interfere with the illegal user according to the estimated channel of the illegal user.
Compared with the conventional cooperative interference technology in which specific channel information is unknown, the technical scheme of the embodiment of the invention can greatly improve the security capacity by the directional transmission of the legal user 102 and the directional interference of the illegal user.
Based on the above method, the detection apparatus for an illegal user to emit a wiretap pilot frequency provided in the embodiment of the present invention may be disposed in the above primary user 101, and a block diagram of an internal modular structure of the detection apparatus is shown in fig. 4, and includes: a pilot receiving module 401, a channel reverse estimation result calculating module 402, and a channel estimating module 403.
The pilot receiving module 401 is configured to receive a pilot transmitted by a valid user and an auxiliary user in a first time slot at the same time, a pilot transmitted by a valid user in a second time slot, and a pilot transmitted by an auxiliary user in a third time slot;
the channel reverse estimation result calculating module 402 is configured to calculate channel reverse estimation results according to the pilots received in the first, second, and third time slots, respectively. Specifically, the channel reverse estimation result calculating module 402 may calculate the channel reverse estimation result according to the above expressions one, two, and three.
The channel estimation module 403 is configured to determine, according to the channel reverse estimation result calculated by the channel reverse estimation result calculation module 402, a channel of the legitimate user and whether an illegal user transmits a eavesdropping pilot:
specifically, the channel estimation module 403 may determine the channel of the legitimate user according to the above expression six; and according to the fourth expression, performing channel estimation of the illegal user according to the channel reverse estimation result calculated by the channel reverse estimation result calculation module 402, and further according to the fifth expression, judging whether the illegal user transmits the eavesdropping pilot frequency.
Further, the apparatus for detecting that an illegal user transmits a wiretap pilot frequency according to an embodiment of the present invention may further include: a directional transmitting module 404 and a directional jamming module 405;
the directional transmitting module 404 is configured to directionally transmit, according to the channel of the legal user estimated by the channel estimating module 403, the legal user by using a corresponding beamforming method.
The directional interference module 405 is configured to directionally interfere with the illegal user by using a corresponding beamforming method according to the channel of the illegal user estimated by the channel estimation module 403.
In the technical scheme of the invention, in a first time slot, pilot frequency transmitted by a legal user and an auxiliary user simultaneously is received; receiving pilot frequency transmitted by a legal user in a second time slot; receiving a pilot frequency transmitted by an auxiliary user in a third time slot; respectively carrying out channel estimation according to the pilot frequency received by the first time slot, the second time slot and the third time slot; and determining whether the illegal user transmits the interception pilot frequency according to the estimated channel. On one hand, because the analysis and detection are only needed according to the pilot frequency in the uplink communication process, the secondary fraud risk is avoided when the uplink and downlink cooperative detection is carried out. On the other hand, the channel estimation is carried out according to the pilot frequency of 3 time slots, so that the legal user channel information and the illegal user channel information can be accurately obtained, the directional communication of the legal user and the directional interference of the illegal user can be realized, and the secrecy capacity can be greatly improved compared with the traditional cooperative interference technology which does not know the specific channel information.
Those of skill in the art will appreciate that various operations, methods, steps in the processes, acts, or solutions discussed in the present application may be alternated, modified, combined, or deleted. Further, various operations, methods, steps in the flows, which have been discussed in the present application, may be interchanged, modified, rearranged, decomposed, combined, or eliminated. Further, steps, measures, schemes in the various operations, methods, procedures disclosed in the prior art and the present invention can also be alternated, changed, rearranged, decomposed, combined, or deleted.
Those of ordinary skill in the art will understand that: the discussion of any embodiment above is meant to be exemplary only, and is not intended to intimate that the scope of the disclosure, including the claims, is limited to these examples; within the idea of the invention, also features in the above embodiments or in different embodiments may be combined, steps may be implemented in any order, and there are many other variations of the different aspects of the invention as described above, which are not provided in detail for the sake of brevity. Therefore, any omissions, modifications, substitutions, improvements and the like that may be made without departing from the spirit and principles of the invention are intended to be included within the scope of the invention.

Claims (5)

1. A detection method for transmitting a wiretap pilot frequency by an illegal user comprises the following steps:
receiving pilot frequencies transmitted by a legal user and an auxiliary user in a first time slot, receiving the pilot frequency transmitted by the legal user in a second time slot, and receiving the pilot frequency transmitted by the auxiliary user in a third time slot;
calculating the reverse channel estimation result according to the pilot frequency received by the first time slot, the second time slot and the third time slot according to the following expressions I, II and III respectively;
determining the channel of the legal user according to the calculated channel reverse estimation result and the following expression six, and judging whether the illegal user transmits the interception pilot frequency or not according to the following expression five after the channel estimation of the illegal user is carried out according to the following expression four;
Figure FDA0002425442600000011
Figure FDA0002425442600000012
Figure FDA0002425442600000013
wherein, YA,N1、YA,N2、YA,N3Respectively representing the channel reverse estimation results calculated according to the pilot frequency received by the first time slot, the second time slot and the third time slot;
Figure FDA0002425442600000014
respectively representing the channel gains of a legal user, an auxiliary user and an illegal user; hBA、HPA、HEARespectively representing a channel between a legal user and a master user, a channel between an auxiliary user and the master user and a channel between an illegal user and the master user; xr,N1、Xr,N2、Xr,N3Respectively representing pilot signals received by a first time slot, a second time slot and a third time slot; u shapeN1、UN2、UN3Respectively representing the noise of the first time slot, the second time slot and the third time slot; h0Indicating channel estimation in the case where no illegal user transmits a fraudulent pilot; h1Indicating channel estimation under the condition that an illegal user transmits a fraudulent pilot frequency;
Figure FDA0002425442600000015
wherein the content of the first and second substances,
Figure FDA0002425442600000016
the estimated channels of the legal users;
Figure FDA0002425442600000017
wherein, UERepresenting a noise signal, Xr,EIndicating a received rogue pilot signal transmitted by an illegal user;
Figure FDA0002425442600000021
where γ is a set threshold value.
2. The method of claim 1, wherein the first, second, and third time slots are consecutive time slots; and
the sequence of the time slots is as follows: first, second and third time slots, or first, third and second time slots, or second, third and first time slots, or second, first and third time slots, or third, first and second time slots, or third, second and first time slots.
3. The method according to claim 1 or 2, after said determining the channel of the legitimate user according to the calculated channel reverse estimation result and whether there is the illegal user transmitting the eavesdropping pilot frequency, further comprising:
according to the estimated channel of the legal user, adopting a corresponding beam forming method to directionally transmit the legal user;
and according to the estimated channel of the illegal user, directionally interfering the illegal user by adopting a corresponding beam forming method.
4. A system for detecting transmission of a tapped pilot by an unauthorized user, comprising: a primary user, a legitimate user, and an auxiliary user; wherein the content of the first and second substances,
the legal user is used for transmitting pilot frequency to the master user in a first time slot and a second time slot;
the auxiliary user is used for transmitting pilot frequency to the main user in a first time slot and a third time slot;
the master user is used for respectively calculating the reverse channel estimation result according to the pilot frequency received by the first time slot, the second time slot and the third time slot according to the following expressions I, II and III; determining the channel of the legal user according to the calculated channel reverse estimation result and the following expression six, and judging whether the illegal user transmits the interception pilot frequency or not according to the following expression five after the channel estimation of the illegal user is carried out according to the following expression four;
Figure FDA0002425442600000031
Figure FDA0002425442600000032
Figure FDA0002425442600000033
wherein, YA,N1、YA,N2、YA,N3Respectively representing the channel reverse estimation results calculated according to the pilot frequency received by the first time slot, the second time slot and the third time slot;
Figure FDA0002425442600000034
respectively representing the channel gains of a legal user, an auxiliary user and an illegal user; hBA、HPA、HEARespectively representing a channel between a legal user and a master user, a channel between an auxiliary user and the master user and a channel between an illegal user and the master user; xr,N1、Xr,N2、Xr,N3Respectively representing pilot signals received by a first time slot, a second time slot and a third time slot; u shapeN1、UN2、UN3Respectively representing the noise of the first time slot, the second time slot and the third time slot; h0Indicating channel estimation in the case where no illegal user transmits a fraudulent pilot; h1Indicating channel estimation under the condition that an illegal user transmits a fraudulent pilot frequency;
Figure FDA0002425442600000035
wherein the content of the first and second substances,
Figure FDA0002425442600000036
the estimated channels of the legal users;
Figure FDA0002425442600000037
wherein, UERepresenting a noise signal, Xr,EIndicating a received rogue pilot signal transmitted by an illegal user;
Figure FDA0002425442600000038
where γ is a set threshold value.
5. A device for detecting an illegal user transmitting a tapped pilot, comprising:
the pilot frequency receiving module is used for receiving pilot frequencies transmitted by a legal user and an auxiliary user in a first time slot at the same time, the pilot frequencies transmitted by the legal user in a second time slot and the pilot frequencies transmitted by the auxiliary user in a third time slot;
the channel reverse estimation result calculation module is used for calculating the channel reverse estimation result according to the pilot frequency received by the first time slot, the second time slot and the third time slot according to the following expressions I, II and III;
the channel estimation module is used for determining the channel of the legal user according to the calculated reverse channel estimation result and the following expression six, and judging whether the illegal user transmits the interception pilot frequency or not according to the following expression five after the channel estimation of the illegal user is carried out according to the following expression four;
Figure FDA0002425442600000041
Figure FDA0002425442600000042
Figure FDA0002425442600000043
wherein, YA,N1、YA,N2、YA,N3Respectively representing the channel reverse estimation results calculated according to the pilot frequency received by the first time slot, the second time slot and the third time slot;
Figure FDA0002425442600000044
respectively representing the channel gains of a legal user, an auxiliary user and an illegal user; hBA、HPA、HEARespectively representing a channel between a legal user and a master user, a channel between an auxiliary user and the master user and a channel between an illegal user and the master user; xr,N1、Xr,N2、Xr,N3Respectively representing pilot signals received by a first time slot, a second time slot and a third time slot; u shapeN1、UN2、UN3Respectively representing the noise of the first time slot, the second time slot and the third time slot; h0Indicating channel estimation in the case where no illegal user transmits a fraudulent pilot; h1Indicating channel estimation under the condition that an illegal user transmits a fraudulent pilot frequency;
Figure FDA0002425442600000045
wherein the content of the first and second substances,
Figure FDA0002425442600000046
the estimated channels of the legal users;
Figure FDA0002425442600000047
wherein, UERepresenting a noise signal, Xr,EIndicating a received rogue pilot signal transmitted by an illegal user;
Figure FDA0002425442600000048
where γ is a set threshold value.
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