CN108462960A - A kind of encipher-decipher method for electromagnetism vortex systems secret communication - Google Patents
A kind of encipher-decipher method for electromagnetism vortex systems secret communication Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W12/00—Security arrangements; Authentication; Protecting privacy or anonymity
- H04W12/02—Protecting privacy or anonymity, e.g. protecting personally identifiable information [PII]
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L63/00—Network architectures or network communication protocols for network security
- H04L63/04—Network architectures or network communication protocols for network security for providing a confidential data exchange among entities communicating through data packet networks
- H04L63/0428—Network architectures or network communication protocols for network security for providing a confidential data exchange among entities communicating through data packet networks wherein the data content is protected, e.g. by encrypting or encapsulating the payload
- H04L63/0442—Network architectures or network communication protocols for network security for providing a confidential data exchange among entities communicating through data packet networks wherein the data content is protected, e.g. by encrypting or encapsulating the payload wherein the sending and receiving network entities apply asymmetric encryption, i.e. different keys for encryption and decryption
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
- H04L9/0861—Generation of secret information including derivation or calculation of cryptographic keys or passwords
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
- H04L9/0861—Generation of secret information including derivation or calculation of cryptographic keys or passwords
- H04L9/0869—Generation of secret information including derivation or calculation of cryptographic keys or passwords involving random numbers or seeds
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Abstract
The present invention discloses a kind of encipher-decipher method for electromagnetism vortex systems secret communication, belongs to wireless communication field, mainly includes the following steps that：Key generation, public key are sent, and public key receives, link code, and encryption is sent, receiving and deciphering, and link decodes, communication link structure, message sink coding and encryption, and signal modulation and transmission, signal receives and demodulation, decryption and source decoding.Through the above steps, electromagnetism vortex systems secret communication is realized.Asymmetric encryption is used for the encryption in physical layer of communication link by this method, since private key is in receiving terminal, listener-in can not obtain private key, to which the non-zero topology charge values obtained selected by correct vortex antenna direction azimuth information and vortex modulation /demodulation can not be decrypted, communication link and vortex demodulation scheme can not be established.Therefore, this method provides the guarantee of safety of physical layer in terms of transmission mechanism and demodulation method two for the secret communication of electromagnetism vortex systems.
Description
Technical field
The invention belongs to wireless communication fields, and in particular to be directed toward azimuth information using the vortex antenna of electromagnetism vortex systems
Encryption and the decryption method of secret communication are carried out with the non-zero topology charge values selected by vortex modulation /demodulation.
Background technology
The fast development of wireless communication technique, capacity and safety to communication system propose new challenge.Utilize track angle
Momentum multiplexing promotes the electromagnetism vortex systems of message capacity, due to being presently limited to horizon communication, is easy stolen hearer's illicit reception
Information.Therefore, it is necessary to consider Communication Security Problem.Traditional communication security techniques focus primarily upon network layer, transport layer and answer
With layer, electromagnetism vortex systems equally can be in these layer of encrypting and decrypting.However as software radio and Intelligent hardware technology
Development, the encryption of network layer, transport layer and application layer are possible to be cracked, and therefore, it is necessary to consider to carry out in lower physical layer
Encryption, to further enhance confidentiality.The encryption in physical layer technology of wireless communication, can be to the data during wireless transmission
Information carries out effective protection, and listener-in is prevented illegally to obtain information by communication link.For communication link, traditional is wireless
It is plane wave signal used by communication system, receiving-transmitting sides are without the concern for antenna alignment problem.And electromagnetism vortex systems institute
The vortex signal with helical phase wavefront used, signal need receiving-transmitting sides to carry out vortex antenna alignment before receiving.Pass through
It encrypts vortex antenna and is directed toward azimuth information, listener-in can not receive letter because do not know vortex antenna due to being accurately directed to azimuth information
Breath, ensure that the safety of communication link；Moreover, electromagnetism vortex systems need to use absolute value due to vortex modulation /demodulation
Equal but positive and negative opposite non-zero topology charge values, by encrypting non-zero topology charge values, listener-in is because that can not establish the demodulation side that is vortexed
Case and information can not be received, further ensure the safety of communication link.Therefore, electromagnetism vortex systems can be utilized distinctive
Vortex signal method of reseptance and vortex modulation-demo-demodulation method carry out the encryption and decryption of physical layer, realize electromagnetism vortex systems
Secret communication.
The present invention proposes that a kind of method utilizes electromagnetism vortices on the basis of the wireless communication system of conventional cryptography mechanism
The vortex antenna of system is directed toward the non-zero topology charge values selected by azimuth information and vortex modulation /demodulation, carries out secret communication, realizes
The encryption and decryption of information.
Invention content
The invention mainly solves the technical problem of providing a kind of encryption and decryption sides for electromagnetism vortex systems secret communication
Method.Asymmetric encryption is used for the encryption in physical layer of communication link by this method, and since private key is in receiving terminal, listener-in can not obtain
Private key, to which the non-zero topology obtained selected by correct vortex antenna direction azimuth information and vortex modulation /demodulation can not be decrypted
Charge values can not establish communication link and vortex demodulation scheme.Therefore, this method is electricity in terms of transmission mechanism and demodulation method two
The secret communication of vortex system provides the guarantee of safety of physical layer.
In order to solve the above technical problems, one aspect of the present invention is：It provides a kind of for electromagnetism vortices
The encipher-decipher method of system secret communication, including two processes of link establishment and data transmission, as shown in Figure 1, including mainly following
Step：
Step 1 key generates：Receiving terminal generates a pair of of public key and private key at random by rivest, shamir, adelman.
Step 2 public key is sent：The public key be configured to topological charge after digital modulation zero vortex day by receiving terminal
Line or ordinary antennas are sent with traditional plane wave signal, which reaches transmitting terminal by conventional wireless channel, such as Fig. 2 institutes
Show.
Step 3 public key receives：Transmitting terminal is configured to zero vortex antenna with topological charge or ordinary antennas receives traditional put down
Surface wave signal obtains the public key and is preserved after digital demodulation.
Step 4 link code：Link configuration information is generated one ten by transmitting terminal by the encryption algorithm of communicating pair agreement
Binary value is formed in plain text.
Step 5 encryption is sent：Transmitting terminal is turned the plaintext using the public key received, by rivest, shamir, adelman
Be changed to ciphertext, after digital modulation, by the ciphertext with topological charge be configured to zero vortex antenna or ordinary antennas with tradition
Plane wave signal send.The signal reaches receiving terminal by conventional wireless channel, as shown in Figure 2.
Step 6 receiving and deciphering：Receiving terminal is configured to zero vortex antenna with topological charge or ordinary antennas receives traditional put down
Surface wave signal obtains the ciphertext for carrying public key, according to local private key, by asymmetric decipherment algorithm to ciphertext after digital demodulation
It is decrypted, obtains the plaintext.
Step 7 link decodes：Receiving terminal is by the decoding algorithm of communicating pair agreement by a decimal number of the plaintext
Value reverts to the link configuration information.
Step 8 communication link is built：Receiving terminal adjusts the orientation of receiving terminal vortex antenna according to link configuration information, real
Existing dual-mode antenna alignment makes receiving terminal establish communication link with transmitting terminal convenient for receiving vortex signal；Utilize non-zero topology charge values
Vortex demodulation scheme is established, the demodulation of vortex signal is used for.
Step 9 message sink coding and encryption：After transceiver communication both sides establish communication link, transmitting terminal by word to be transmitted,
The raw informations such as voice, image, video press certain encryption algorithm, carry out message sink coding, are formed in plain text.It is generated according to step 1
The plaintext is encrypted using rivest, shamir, adelman, is converted to ciphertext by public key.
Step 10 signal modulation and transmission：The ciphertext is carried out digital modulation and is vortexed to modulate by transmitting terminal, shape after modulation
At vortex signal sent using vortex antenna, by vortex channel reach receiving terminal, as shown in Figure 2.
Step 11 signal receives and demodulation：After receiving terminal is received vortex signal using vortex antenna, established using step 8
Vortex demodulation scheme, carry out vortex demodulation, then carry out digital demodulation again.
Step 12 is decrypted and source decoding：Receiving terminal is decrypted the ciphertext after digital demodulation by local private key, obtains
It obtains in plain text.Plaintext is obtained original into row decoding, i.e. source decoding after decoding by certain encryption algorithm corresponding decoding algorithm
The raw informations such as word, voice, image, video.
In a preferred embodiment of the present invention, the rivest, shamir, adelman including but not limited to：RSA Algorithm,
Elgamal algorithms, knapsack algorithm, Rabin algorithms, D-H algorithms, elliptic curve encryption algorithm.By taking RSA cryptographic algorithms as an example, connect
Receiving end generates public key and private key, and public key (e, N) is passed through conventional wireless channel (knWhen=0) it is sent to transmitting terminal.Public key and
Private key generating algorithm is as follows：
1) selection prime number p and q：Receiving terminal randomly selects two different big prime number p and q, or the direction using antenna
Azimuth information and non-zero topology charge values generate, and p and q are secrecy；
2) n is calculated：N=p × q, n are disclosed, and n generally takes 1024；Notice that the value of n needs to meet condition：n>m.m
The decimal value generated for transmitting terminal link configuration information encryption algorithm.
3) it calculates It is secrecy；
4) e is selected：Selection one is less than more than 1Natural number e, and e withIt is relatively prime；Meet
5) d is selected：The selection of d needs to meetThat is d × e divided by1 is remaininged, according to this
Part chooses some value as d.
6) by above-mentioned data, public key KU=(e, n), private key KR=(d, p, q) are determined.
In a preferred embodiment of the present invention, the encryption method is as follows：Transmitting terminal obtains the public key KU=of receiving terminal
(e, n) calculates C=meMod n, and ciphertext C is sent to receiving terminal.
In a preferred embodiment of the present invention, the decryption method is as follows：After receiving terminal receives ciphertext C, this is utilized
The private key KR=(d, p, q) that ground generates carries out following decryption oprerations：M=CdMod n to obtain decimal value m, then turn
Change binary code into.By corresponding interpretation method, the plaintext can be obtained.
In a preferred embodiment of the present invention, the link configuration information includes that vortex antenna is directed toward azimuth information and whirlpool
The non-zero topology charge values selected by modulation /demodulation are revolved, which is selected according to the needs of system within the scope of some at random by transmitting terminal
It is fixed.
In a preferred embodiment of the present invention, the digital modulation with demodulation including but not limited to：ASK、FSK、BPSK、
The common Digital Modulation Techniques such as QPSK, QAM.
In a preferred embodiment of the present invention, the message sink coding includes voice compression coding, all kinds of compression of images volume
Code and multimedia data compression coding.The source decoding is the reverse process of message sink coding.
In a preferred embodiment of the present invention, the vortex modulation and demodulation：Whirlpool can be sent by building one in transmitting terminal
The vortex antenna of signal is revolved, classical signal is exactly multiplied by a helical phase factor by the function of transmitting terminal vortex modulatorWherein topological charge kn(kn≠ 0) it is provided at random by transmitting terminal.By being vortexed, modulated signal is：
WhereinFor attitude, Sn(t) it is the signal used after traditional digital modulation,Believe to be vortexed
Number.
Receiving terminal vortex demodulator is exactly the reverse process process of modulator of being vortexed, i.e., the vortex that vortex antenna will receive
Signal is multiplied by topological charge knPhase factor corresponding to opposite numberObtain the signal after demodulating that is vortexed：
In a preferred embodiment of the present invention, as shown in figure 3, it includes antenna position that the vortex antenna, which is directed toward azimuth information,
The longitude LNG set, latitude LAT and height above sea level ASL；Two folders of three-dimensional coordinate are established using vortex antenna geometrical center by origin O
Angle：Angle α between projection and positive z-axis of the antenna boresight axis on the faces zOy, projection of the antenna boresight axis on the faces xOy
Angle β between positive x-axis.Longitude LNG and latitude LAT is used to determine the specific location of antenna；Height above sea level ASL is for determining day
The height of line；Angle α and β are used to determine that the vortex signal beam axis transmitted by vortex antenna to be directed toward.
The beneficial effects of the invention are as follows：A kind of encryption and decryption side for electromagnetism vortex systems secret communication provided by the invention
Method.Asymmetric encryption is used for the encryption in physical layer of communication link by this method, and since private key is in receiving terminal, listener-in can not obtain
Private key, to which the non-zero topology obtained selected by correct vortex antenna direction azimuth information and vortex modulation /demodulation can not be decrypted
Charge values can not establish communication link and vortex demodulation scheme.Therefore, this method is electricity in terms of transmission mechanism and demodulation method two
The secret communication of vortex system provides the guarantee of safety of physical layer.
Description of the drawings
To describe the technical solutions in the embodiments of the present invention more clearly, make required in being described below to embodiment
Attached drawing is briefly described, it should be apparent that, drawings in the following description are only some embodiments of the invention, for
For those of ordinary skill in the art, without creative efforts, it can also be obtained according to these attached drawings other
Attached drawing, wherein：
Fig. 1 is a kind of behaviour of a preferred embodiment of encipher-decipher method for electromagnetism vortex systems secret communication of the invention
Make flow chart；
Fig. 2 is that an a kind of preferred embodiment of encipher-decipher method for electromagnetism vortex systems secret communication of the invention is
System structure chart；
Fig. 3 is a kind of whirlpool of a preferred embodiment of encipher-decipher method for electromagnetism vortex systems secret communication of the invention
It revolves antenna and is directed toward azimuth information schematic diagram.
Specific implementation mode
The technical scheme in the embodiments of the invention will be clearly and completely described below, it is clear that described implementation
Example is only a part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, this field is common
All other embodiment that technical staff is obtained without making creative work belongs to the model that the present invention protects
It encloses.
As shown in Figs. 1-3, the embodiment of the present invention includes：
A kind of encipher-decipher method for electromagnetism vortex systems secret communication, including two mistakes of link establishment and data transmission
Journey, as shown in Figure 1, mainly including the following steps that：
Step 1 key generates：Receiving terminal generates a pair of of public key and private key at random by rivest, shamir, adelman.With rsa encryption
For algorithm, public key and private key generating algorithm are as follows：
1) receiving terminal randomly selects prime number p=17 and q=11 (practical to choose larger prime number), and p and q are secrecy；
2) n is calculated：N=p × q=17 × 11=187, n are disclosed, and n generally takes 1024；
3) it calculates It is secrecy；
4) e=7 is selected：7 is relatively prime with 160, meets gcd (7,160)=1；
5) d=23 is selected：
6) by above-mentioned data, public key KU=(7,187), private key KR=(23,17,11) are determined.
Step 2 public key is sent：Receiving terminal will be configured to after the public key KU=(7,187) progress BPSK modulation with topological charge
Zero (knWhen=0) vortex antenna sent with traditional plane wave signal.The signal reaches transmitting terminal by conventional wireless channel,
As shown in Figure 2.
Step 3 public key receives：Transmitting terminal is configured to zero vortex antenna with topological charge or ordinary antennas receives traditional put down
Surface wave signal obtains the public key KU=(7,187) and is preserved after BPSK is demodulated.
Step 4 link code：In the link configuration information of transmitting terminal, it is assumed that selected topological charge kn=2, it is assumed that be sent
Vortex antenna is directed toward the non-zero topology charge values k selected by azimuth information and vortex modulation /demodulationnThe coding arranged by communicating pair
It is m=88 that algorithm, which generates a decimal value, is formed in plain text.Meet n>M, i.e., 187>88.
Step 5 encryption is sent：Transmitting terminal is turned the plaintext m=88 using the public key KU=(7,187) received
It is changed to ciphertext C=887Mod 187=11 configure with topological charge ciphertext C=11 in zero vortex day after BPSK is modulated
Line is sent with traditional plane wave signal.The signal reaches receiving terminal by conventional wireless channel, as shown in Figure 2.
Step 6 receiving and deciphering：The vortex antenna that receiving terminal is configured to zero with topological charge receives traditional plane wave signal, warp
The ciphertext C=11 for carrying public key is obtained after crossing BPSK demodulation, according to local private key KR=(23,17,11), by RSA decipherment algorithms
Carry out following decryption oprerations：M=CdMod n=1123Mod 187=88, to obtain the plaintext m=88.
Step 7 link decodes：The decoding algorithm that receiving terminal is arranged by communicating pair reverts to the plaintext m=88 described
Link configuration information obtains topological charge kn=2 and vortex antenna be directed toward azimuth information.
Step 8 communication link is built：Receiving terminal is directed toward azimuth information, adjustment according to the vortex antenna in link configuration information
Dual-mode antenna alignment is realized in the orientation of receiving terminal vortex antenna, convenient for receiving vortex signal, so that receiving terminal is established with transmitting terminal logical
Believe link；According to the topological charge k in link configuration informationnVortex demodulation scheme is established, the demodulation of vortex signal is used for.
Step 9 message sink coding and encryption：After transceiver communication both sides establish communication link, transmitting terminal by word to be transmitted,
The raw informations such as voice, image, video press certain encryption algorithm, carry out message sink coding, are formed in plain text.It is generated according to step 1
The plaintext is encrypted using rivest, shamir, adelman, is converted to ciphertext by public key.Assuming that the ciphertext after coding encrypting is
01。
Step 10 signal modulation and transmission：The ciphertext is carried out BPSK modulation by transmitting terminal, in the case of not considering carrier wave,
Ciphertext 0 and 1 is expressed as -1 and 1, i.e., after BPSK is modulated, SnOr 1 (t)=- 1.Vortex modulation is carried out again, it is assumed that topology
Lotus kn=2, by being vortexed, modulated signal is：
The vortex signalIt is sent using vortex antenna, receiving terminal is reached by vortex channel, such as Fig. 2 institutes
Show.
Step 11 signal receives and demodulation：After receiving terminal is received vortex signal by vortex antenna, established using step 8
Vortex demodulation scheme, carry out vortex demodulation, i.e., the vortex signal that vortex antenna will receive It is multiplied by topological charge kn
Phase factor corresponding to=2 opposite numbers -2Obtain the signal after demodulating that is vortexed：
This -1 and 1 signal is subjected to corresponding BPSK demodulation again, you can obtain original data 01.
Step 12 is decrypted and source decoding：Receiving terminal is decrypted the ciphertext 01 after digital demodulation by local private key,
It obtains in plain text.Decryption method repeats no more.The corresponding decoding algorithm of certain encryption algorithm is pressed after decryption to plaintext into row decoding, i.e.,
Source decoding obtains the raw informations such as original word, voice, image, video after decoding.
Further, as shown in figure 3, the vortex antenna is directed toward the longitude LNG that azimuth information includes aerial position, latitude
LAT and height above sea level ASL；Two angles of three-dimensional coordinate are established using vortex antenna geometrical center by origin O：Antenna boresight axis exists
The angle α between projection and positive z-axis on the faces zOy, the folder between projection and positive x-axis of the antenna boresight axis on the faces xOy
Angle beta.Longitude LNG and latitude LAT is used to determine the specific location of antenna；Height above sea level ASL is used to determine the height of antenna；Angle α and β
For determining that the vortex signal beam axis transmitted by vortex antenna is directed toward.
In conclusion the present invention provides a kind of encipher-decipher methods for electromagnetism vortex systems secret communication.This method
Asymmetric encryption is used for the encryption in physical layer of communication link, since private key is in receiving terminal, listener-in can not obtain private key, to
The non-zero topology charge values obtained selected by correct vortex antenna direction azimuth information and vortex modulation /demodulation can not be decrypted, it can not
Establish communication link and vortex demodulation scheme.Therefore, this method is electromagnetism vortices in terms of transmission mechanism and demodulation method two
The secret communication of system provides the guarantee of safety of physical layer.
Example the above is only the implementation of the present invention is not intended to limit the scope of the invention, every to utilize this hair
Equivalent structure or equivalent flow shift made by bright description is applied directly or indirectly in other relevant technology necks
Domain is included within the scope of the present invention.
Claims (6)
1. a kind of encipher-decipher method for electromagnetism vortex systems secret communication, which is characterized in that include the following steps：
Step 1 key generates：Receiving terminal generates a pair of of public key and private key at random by rivest, shamir, adelman；
Step 2 public key is sent：Receiving terminal by the public key carry out digital modulation after with topological charge be configured to zero vortex antenna or
Ordinary antennas is sent with traditional plane wave signal；
Step 3 public key receives：Transmitting terminal is configured to zero vortex antenna with topological charge or ordinary antennas receives traditional plane wave
Signal obtains the public key and is preserved after digital demodulation；
Step 4 link code：Link configuration information is generated a decimal system by transmitting terminal by the encryption algorithm of communicating pair agreement
Numerical value is formed in plain text；
Step 5 encryption is sent：Transmitting terminal is converted to the plaintext by rivest, shamir, adelman using the public key received
Ciphertext is configured the ciphertext to zero vortex antenna or ordinary antennas with topological charge and is put down with traditional after digital modulation
Surface wave signal is sent；
Step 6 receiving and deciphering：Receiving terminal is configured to zero vortex antenna with topological charge or ordinary antennas receives traditional plane wave
Signal obtains the ciphertext for carrying public key after digital demodulation, according to local private key, is carried out to ciphertext by asymmetric decipherment algorithm
Decryption, obtains the plaintext；
Step 7 link decodes：Receiving terminal is extensive by a decimal value of the plaintext by the decoding algorithm of communicating pair agreement
It is the link configuration information again；
Step 8 communication link is built：Receiving terminal adjusts the orientation of receiving terminal vortex antenna according to link configuration information, realizes and receives
Antenna alignment is sent out, convenient for receiving vortex signal, receiving terminal is made to establish communication link with transmitting terminal；It is established using non-zero topology charge values
Vortex demodulation scheme is used for the demodulation of vortex signal；
Step 9 message sink coding and encryption：After transceiver communication both sides establish communication link, transmitting terminal by word to be transmitted, voice,
The raw informations such as image, video press certain encryption algorithm, carry out message sink coding, formed in plain text, according to step 1 generate public key,
The plaintext is encrypted using rivest, shamir, adelman, is converted to ciphertext；
Step 10 signal modulation and transmission：The ciphertext is carried out digital modulation and is vortexed to modulate by transmitting terminal, is formed after modulation
Vortex signal is sent using vortex antenna, and receiving terminal is reached by vortex channel；
Step 11 signal receives and demodulation：After receiving terminal is received the vortex signal by vortex antenna, established using step 8
Vortex demodulation scheme, carry out vortex demodulation, then carry out digital demodulation again；
Step 12 is decrypted and source decoding：Receiving terminal is decrypted the ciphertext after digital demodulation by local private key, obtains bright
Text obtains original text to plaintext by the corresponding decoding algorithm of certain encryption algorithm into row decoding, i.e. source decoding after decoding
The raw informations such as word, voice, image, video.
2. the encipher-decipher method according to claim 1 for electromagnetism vortex systems secret communication, which is characterized in that described
Link configuration information includes that vortex antenna is directed toward non-zero topology charge values selected by azimuth information and vortex modulation /demodulation, the value by
Transmitting terminal is selected according to the needs of system within the scope of some at random.
3. the encipher-decipher method according to claim 1 for electromagnetism vortex systems secret communication, which is characterized in that described
Digital modulation with demodulation including but not limited to：The common Digital Modulation Techniques such as ASK, FSK, BPSK, QPSK, QAM.
4. the encipher-decipher method according to claim 1 for electromagnetism vortex systems secret communication, which is characterized in that described
Message sink coding includes that voice compression coding, all kinds of image compression encodings and multimedia data compression coding, the source decoding are
It is the reverse process of message sink coding.
5. the encipher-decipher method according to claim 1 for electromagnetism vortex systems secret communication, which is characterized in that described
In step 10：A vortex antenna that can send vortex signal is built in transmitting terminal, is associated with classical signal by vortex antenna
One helical phase factor, the helical phase factor is related with topological charge and attitude, by the modulated signal that is vortexed
Meet following relationship：
WhereinFor the helical phase factor, topological charge kn(kn≠ 0) it is provided at random by transmitting terminal,For attitude, Sn
(t) it is the signal used after traditional digital modulation,Vortex signal；
In the step 11：Receiving terminal vortex demodulator is exactly the reverse process process of modulator of being vortexed, i.e. vortex antenna will
The vortex signal received is multiplied by topological charge knPhase factor corresponding to opposite numberThe signal obtained after vortex demodulation is full
The following relationship of foot：
6. the encipher-decipher method according to claim 2 for electromagnetism vortex systems secret communication, which is characterized in that described
Vortex antenna is directed toward the longitude that azimuth information includes aerial position, latitude and height above sea level；Using vortex antenna geometrical center as origin O institutes
Establish two angles of three-dimensional coordinate：Angle between projection and positive z-axis of the antenna boresight axis on the faces zOy, antenna beam
Angle between projection and positive x-axis of the axis on the faces xOy, longitude and latitude are used to determine the specific location of antenna；Height above sea level is used
In the height for determining antenna；Two angles are used to determine that the vortex signal beam axis transmitted by vortex antenna to be directed toward.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109768990A (en) * | 2019-03-04 | 2019-05-17 | 中国人民解放军国防科技大学 | Physical layer secure transmission method based on asymmetric key |
| CN113630591A (en) * | 2021-06-21 | 2021-11-09 | 上海师范大学 | Invisible vortex structured light three-dimensional imaging method based on asymmetric encryption |
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| CN109768990A (en) * | 2019-03-04 | 2019-05-17 | 中国人民解放军国防科技大学 | Physical layer secure transmission method based on asymmetric key |
| CN109768990B (en) * | 2019-03-04 | 2022-09-16 | 中国人民解放军国防科技大学 | Physical layer secure transmission method based on asymmetric key |
| CN113630591A (en) * | 2021-06-21 | 2021-11-09 | 上海师范大学 | Invisible vortex structured light three-dimensional imaging method based on asymmetric encryption |
| CN113630591B (en) * | 2021-06-21 | 2024-01-30 | 上海师范大学 | Invisible vortex structured light three-dimensional imaging method based on asymmetric encryption |
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