W-band encryption transmission method and device based on double-frequency-point secret key following transmission
By using dual-frequency point key transfer technology and 3D Lorenz chaotic model for encryption processing in W-band communication systems, the security risks of key sharing methods are solved, and a high security and flexible communication system is realized.
Patent Information
- Application Number
- CN202411795492.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-09
- Publication Date
- 2025-04-11
AI Technical Summary
In the existing optical physical layer chaotic encryption technology, the key sharing method has the risk of key leakage and misappropriation, which is difficult to meet the high security requirements of W-band communication systems.
The W-band encryption transmission method based on dual-frequency point key transfer is adopted, bit masking, constellation point replacement and rotation are performed through the 3D Lorenz chaotic model to generate the encrypted ciphertext and ciphertext corresponding keys, and key transmission is performed based on the key transfer principle during transmission.
It improves the security and flexibility of the communication system, ensures the uniqueness and unpredictability of the key, adapts to complex and changeable environment needs, reduces operating costs and improves transmission performance.
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Figure CN119814266A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the field of optical transmission technology, and in particular to a W-band encryption transmission method and device based on dual-frequency key transmission. Background Art
[0002] As the era of big data evolves to the era of artificial intelligence, key technologies are booming, and global network traffic is showing an explosive growth trend. This trend has put forward more stringent transmission performance requirements for the optical transmission network at the physical layer, the cornerstone of the communication system, and there is an urgent need for faster broadband speeds and greater information carrying capacity. At present, backbone networks and metropolitan area networks widely use optical fiber communication systems to transmit information, mainly due to their ultra-bandwidth characteristics. However, the construction of optical fiber transmission systems faces the challenges of high laying costs, long deployment cycles, and difficulty in adapting to complex and rugged terrain. In order to overcome these limitations, exploring and applying new technologies such as the W band has become a potential solution, aiming to improve the flexibility and adaptability of communication systems while reducing deployment difficulty and cost. The millimeter wave in the W band has a very high frequency and rich bandwidth resources, which can meet the needs of large-capacity transmission of communication systems. However, the millimeter waves generated by traditional all-solid-state pure electronic methods have problems such as limited bandwidth and high frequency conversion loss, which limits the application of millimeter waves in high-speed data transmission, large-capacity communication, and high-precision measurement. Photon-assisted technology can give full play to the advantages of optical devices such as large bandwidth and low frequency conversion loss, and provide a new solution for the generation and application of millimeter waves. The W-band signal generated by photon-assisted beat frequency can match the ultra-bandwidth characteristics of fiber-optic communication, realize the seamless integration of fiber-wireless-fiber, and has broad application prospects in the next generation of wireless communication systems.
[0003] The W-band wireless communication system has shown wide application potential in many fields such as economy, medicine, and commerce with its high transmission rate, but it also faces a major risk of illegal information theft and leakage. Due to the massive and highly sensitive data transmitted by the system, network security issues are particularly prominent, and more stringent requirements are placed on the integrity and confidentiality of data transmission. Therefore, more stringent and comprehensive security measures must be taken to effectively prevent security threats such as network attacks and information theft. Given the large bandwidth and fast transmission rate of the W-band, traditional upper-layer encryption schemes are difficult to meet the needs, while physical layer chaotic encryption can match its ultra-bandwidth characteristics and can flexibly match a variety of transmission systems. The encryption methods are rich and diverse, which can ensure the security of data in W-band communications. Optical physical layer chaotic encryption technology has the modulation characteristics of the digital domain, which can change information such as amplitude, phase, and frequency to achieve data encoding and transmission. The technology also has synchronization characteristics, ensuring that the sender and receiver are highly consistent in time series and phase relationship. In addition, optical physical layer chaos encryption technology also incorporates the essence of chaos theory, showing unique advantages such as complexity, unpredictability, ergodicity, quasi-randomness, and extreme sensitivity to initial conditions. Optical physical layer chaos encryption technology, with its significant advantages of low cost and high flexibility, can effectively meet the high security requirements of modern communication technology. This technology not only has good compatibility with existing optical communication systems, but also achieves lower operating costs and higher flexibility without sacrificing the original transmission performance, thereby promoting further optimization of the transmission performance of optical communication systems.
[0004] At present, in terms of optical physical layer chaotic encryption, most of them still use key sharing for encryption or decryption, but this requires the communicating parties to share one or more keys in advance. Once leaked or stolen, it will pose a threat to the security of the communication system. Summary of the invention
[0005] In order to solve the deficiencies mentioned in the above background technology, the purpose of the present invention is to provide a W-band encryption transmission method and device based on dual-frequency key transmission.
[0006] In the first aspect, the purpose of the present invention can be achieved by the following technical solution: a W-band encrypted transmission method based on dual-frequency key transmission, the method comprising the following steps:
[0007] The transmitter generates raw data and inputs the raw data into the pre-established 3D Lorenz chaotic model for bit masking, constellation point permutation and rotation, and outputs the encrypted ciphertext and the key corresponding to the ciphertext;
[0008] The sending end transmits the encrypted ciphertext and the key corresponding to the ciphertext to the receiving end, and decrypts the encrypted ciphertext using the key corresponding to the ciphertext to obtain the decrypted original data, wherein the key corresponding to the ciphertext is based on the principle of key transmission during transmission.
[0009] In combination with the first aspect, in some implementations of the first aspect, the method further includes: the processing of the original data includes:
[0010] The original data is bit masked, converted from serial to parallel and mapped to 16QAM constellation. The constellation points are extracted and the perturbation factors are used to achieve data position replacement and constellation point rotation. The center point is used as the rotation axis to form a constellation point loop by performing random angle rotation. After inverse Fourier transformation and cyclic prefix addition, the constellation point loop is formed.
[0011] In combination with the first aspect, in some implementations of the first aspect, the method further includes: the equation of the pre-established 3D Lorenz chaos model is as follows:
[0012]
[0013] Wherein, parameter t represents time. Equation (1) is a set of partial differential equations derived from time t. When the system parameters are σ=10, ρ=28, β=8 / 3, the system will be in a chaotic state. The initial value is set in a specific interval x∈(-20,20), y∈(-20,20), z∈(10,40), and the key is updated in this dynamic interval.
[0014] In combination with the first aspect, in some implementations of the first aspect, the method further includes: after processing the x sequence with the partial differential equation group derived at the time t, formula (2) is obtained to obtain a sequence x' and x", wherein x' represents position information for identifying a position for inserting bit data, and x" is a masking information sequence to be inserted;
[0015]
[0016] Where mod(*) is the remainder function.
[0017] In combination with the first aspect, in certain implementations of the first aspect, the method further includes: when the constellation points are permuted, the constellation points are extracted after the constellation mapping and the data is randomly permuted, which does not cause disturbance to the overall position of the constellation points. It is only the data permutation of the constellation points, and the overall distribution of the constellation points does not change.
[0018] In combination with the first aspect, in some implementations of the first aspect, the method further includes: the constellation point rotation process:
[0019] The chaotic sequence z is used to realize the constellation point rotation. The z sequence is processed into a constellation point phase scrambling factor θ with a random value, where S is the constellation point before encryption and S' is the constellation point after encryption. Finally, the constellation point is rotated into a circular distribution. The formula is as follows:
[0020]
[0021] In combination with the first aspect, in some implementations of the first aspect, the method further includes: the key transmission principle is as follows:
[0022] The transmitter uses three wavelengths to beat the frequency and selects two signals of different frequencies to send the ciphertext and key respectively. The modulation format of the key used is QPSK, and the key is interpolated at the same time. Due to the sensitivity of the chaotic sequence to the initial value, the generated key is highly random and unpredictable. If the key is wrong, the receiving end cannot recover the data normally. In addition, the information needs to be re-authenticated at the receiving end to judge and recover the key. After the key is mapped to the bit data transmission, it needs to be corrected at the receiving end. The key and ciphertext are sent and transmitted at the same time. The two do not interfere with each other, and the key information cannot be obtained based on the ciphertext information.
[0023] In a second aspect, in order to achieve the above-mentioned object, the present invention discloses a W-band encryption transmission device based on dual-frequency key transmission, comprising:
[0024] The data processing module is used to generate raw data at the sending end, input the raw data into the pre-established 3DLorenz chaotic model for bit masking, constellation point permutation and rotation, and output the encrypted ciphertext and the key corresponding to the ciphertext;
[0025] The data transmission module is used for transmitting the encrypted ciphertext and the key corresponding to the ciphertext from the sending end to the receiving end, and decrypting the encrypted ciphertext using the key corresponding to the ciphertext to obtain the decrypted original data, wherein the key corresponding to the ciphertext is based on the principle of key transmission during transmission.
[0026] In another aspect of the present invention, in order to achieve the above-mentioned purpose, a terminal device is disclosed, including a memory, a processor, and a computer program stored in the memory and capable of running on the processor, wherein the memory stores a computer program capable of running on the processor, and when the processor loads and executes the computer program, a W-band encryption transmission method based on dual-frequency key transmission as described above is adopted.
[0027] In another aspect of the present invention, in order to achieve the above-mentioned purpose, a computer-readable storage medium is disclosed, in which a computer program is stored, and it is characterized in that when the computer program is loaded and executed by a processor, a W-band encryption transmission method based on dual-frequency key transmission as described above is adopted.
[0028] Beneficial effects of the present invention:
[0029] The present invention realizes W-band digital domain chaotic encryption and key transmission, which innovatively improves the security and flexibility of the communication system. The mapping generated by the chaotic model has the characteristics of internal unpredictability under certain conditions, showing high randomness and initial value sensitivity, and can ensure the uniqueness of the key. Dual-frequency key transmission can ensure that the ciphertext and key are sent separately, without interference and influence on each other. It can be appropriately adjusted according to the user needs of the transceiver and the experimental scenario, and can adapt to complex and changing environmental needs. In order to ensure the accuracy of key transmission, the key modulation format used is QPSK. The present invention interpolates the key, repeatedly transmits the key and adds a protection interval to ensure the correct transmission of the key. In addition, the signal is transmitted in a high-frequency carrier, with the advantages of high transmission rate, short wavelength, low energy, etc., and has obvious gains and effects on processing large amounts of data and long-distance communications, which can improve the efficiency of the system. BRIEF DESCRIPTION OF THE DRAWINGS
[0030] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, for those skilled in the art, other drawings can be obtained based on these drawings without creative work.
[0031] Figure 1 It is a schematic flow chart of the method of the present invention;
[0032] Figure 2 It is a schematic diagram of the ciphertext transmission process of the present invention;
[0033] Figure 3 It is a schematic diagram of the key transmission process of the present invention;
[0034] Figure 4 is the phase diagram of the Lorenz chaos model of the present invention;
[0035] Figure 5 It is a schematic diagram of the bit masking processing principle of the present invention;
[0036] Figure 6 Schematic diagram of the constellation point position replacement processing principle of the present invention;
[0037] Figure 7 This is a schematic diagram of the constellation point rotation processing principle of the present invention;
[0038] Figure 8 It is a schematic diagram of frequency division carrier information transmission of the present invention;
[0039] Fig. 9 It is a communication framework diagram of the experimental system of the present invention;
[0040] Fig.10 It is a schematic diagram of the structure of the device of the present invention. DETAILED DESCRIPTION
[0041] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
[0042] Embodiment 1:
[0043] like Figure 1 As shown, a W-band encrypted transmission method based on dual-frequency key transmission includes the following steps:
[0044] S101: The transmitter generates original data, inputs the original data into a pre-established 3D Lorenz chaotic model for bit masking, constellation point permutation and rotation, and outputs encrypted ciphertext and the key corresponding to the ciphertext;
[0045] The processing of the raw data includes:
[0046] The original data is bit masked, converted from serial to parallel and mapped to 16QAM constellation. The constellation points are extracted and the perturbation factors are used to achieve data position replacement and constellation point rotation. The center point is used as the rotation axis to form a constellation point loop by performing random angle rotation. After inverse Fourier transformation and cyclic prefix addition, the constellation point loop is formed.
[0047] The equations of the pre-established 3D Lorenz chaos model are as follows:
[0048]
[0049] Wherein, parameter t represents time. Equation (1) is a set of partial differential equations derived from time t. When the system parameters are σ=10, ρ=28, β=8 / 3, the system will be in a chaotic state. The initial value is set in a specific interval x∈(-20,20), y∈(-20,20), z∈(10,40), and the key is updated in this dynamic interval.
[0050] Specifically, Figure 4As shown in the figure, it can be seen that the three-dimensional Lorenz chaos model shows obvious chaotic characteristics, with complex motion trajectories and the characteristics of bifurcation dynamics. Due to the sensitivity of the chaotic system to the initial value, when the chaotic initial value has a slight change, it will bring a new complex chaotic trajectory. The initial value sensitivity of the chaotic model can ensure that the receiving end cannot decrypt and recover the information without an accurate key. The chaotic sequences x, y, and z generated in the chaotic model need to be processed into three-dimensional perturbation vectors for bit masking, constellation point position permutation, and constellation point rotation.
[0051] The partial differential equation group derived from the time t is used to process the x sequence to obtain formula (2), and the sequences x' and x", where x' represents the position information used to identify the position of the inserted bit data, x", is the masking information sequence to be inserted, and floor is a floor function that returns the largest integer value less than or equal to x;
[0052]
[0053] Where mod(*) is the remainder function.
[0054] When the constellation points are replaced, the constellation points are extracted after constellation mapping and the data are randomly replaced, which does not cause disturbance to the overall position of the constellation points. It is only the data replacement of the constellation points, and the overall distribution of the constellation points does not change.
[0055] The constellation point rotation process:
[0056] The chaotic sequence z is used to realize the constellation point rotation. The z sequence is processed into a constellation point phase scrambling factor θ with a random value, where S is the constellation point before encryption and S' is the constellation point after encryption. Finally, the constellation point is rotated into a circular distribution. The formula is as follows:
[0057]
[0058] S102: The sending end transmits the encrypted ciphertext and the key corresponding to the ciphertext to the receiving end, and decrypts the encrypted ciphertext using the key corresponding to the ciphertext to obtain the decrypted original data, wherein the key corresponding to the ciphertext is based on the principle of key transmission during transmission.
[0059] The key transmission principle of the present application can be explained as follows. At the transmitting end of the present patent, three wavelengths are beat and two signals of different frequencies are selected to send the ciphertext and key respectively. In order to ensure the accurate transmission of the key, the modulation format of the key adopted is QPSK, and the key is interpolated to ensure the consistency of the signal transmission at the transmitting and receiving ends. Due to the characteristics of the chaotic sequence's sensitivity to the initial value, a small disturbance will cause a large change, which can ensure the high randomness and unpredictability of the generated key. If the key is wrong, the receiving end cannot recover the data normally. In addition, the receiving end needs to re-authenticate the information, that is, judge and recover the key. After the key is mapped to the bit data transmission, it needs to be corrected at the receiving end. The key and ciphertext are sent and transmitted at the same time, and the two do not interfere with each other, and the key information cannot be obtained based on the ciphertext information.
[0060] Specifically, the present invention is further described below by way of embodiments: Fig. 9 As shown, an intensity modulation direct detection system is used. After the chaotic system is used at the transmitting end to perform bit masking, constellation point position permutation, and constellation point rotation operations to encrypt the data, the processed transmission data is imported into the arbitrary waveform generator to convert the digital signal into an analog signal for transmission in the channel. Laser 1 generates a continuous light source with a frequency of 193.100THz. The continuous light source generated by laser 1 and the RF signal generated by the arbitrary waveform generator are injected into the Mach-Zehnder modulator for photoelectric modulation, and are coupled with the modulated signal with a frequency of 193.015THz generated by laser 2 after photoelectric modulation in coupler 1. The two optical signals are coupled together with the continuous light source with a frequency of 193.000THz generated by laser 3 in coupler 2, and the coupled signal enters the erbium-doped fiber amplifier. The function of the erbium-doped fiber amplifier is to compensate for the damage in the transmission link. The optical attenuator is used to ensure the safe driving of the single-line carrier photodiode. In the system shown, the photon heterodyne technology (up-conversion) is used to beat the frequency to generate two W-band signals with a frequency range of 75-110GHz, 85 and 100GHz respectively. The obtained W-band signal is amplified by the low-noise amplifier 1, and the amplified signal is transmitted to the free space through the antenna for wireless transmission. The present invention realizes the wireless transmission of the W-band encrypted signal. At the receiver of the wireless transmission, the W-band signal in the free space is received and transmitted to the low-noise amplifier 2 through the antenna, maximizing the signal power of the received W-band. After passing through the envelope detector, the received signal can be received in the oscilloscope for signal decryption and recovery in the subsequent offline digital signal processing process. The receiving end can receive two signals, one is the ciphertext signal and the other is the key signal. At the receiving end, the key is used to perform the inverse operation of the sending end on the encrypted signal, and finally the original data is restored using the offline digital signal processing technology.
[0061] Embodiment 2: In the second aspect, as Fig.10 As shown, in order to achieve the above-mentioned purpose, the present invention discloses a W-band encryption transmission device based on dual-frequency key transmission, comprising:
[0062] The data processing module is used to generate raw data at the sending end, input the raw data into the pre-established 3DLorenz chaotic model for bit masking, constellation point permutation and rotation, and output the encrypted ciphertext and the key corresponding to the ciphertext;
[0063] The data transmission module is used for transmitting the encrypted ciphertext and the key corresponding to the ciphertext from the sending end to the receiving end, and decrypting the encrypted ciphertext using the key corresponding to the ciphertext to obtain the decrypted original data, wherein the key corresponding to the ciphertext is based on the principle of key transmission during transmission.
[0064] Based on the same inventive concept, the present invention also provides a computer device, which includes: one or more processors, and a memory for storing one or more computer programs; the program includes program instructions, and the processor is used to execute the program instructions stored in the memory. The processor may be a central processing unit (CPU), or other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASIC), field-programmable gate arrays (FPGA) or other programmable logic devices, discrete gates or transistor logic devices, discrete hardware components, etc. It is the computing core and control core of the terminal, which is used to implement one or more instructions, specifically used to load and execute one or more instructions in a computer storage medium to implement the above method.
[0065] It needs to be further explained that, based on the same inventive concept, the present invention also provides a computer storage medium, on which a computer program is stored, and the computer program is executed by a processor to execute the above method. The storage medium can adopt any combination of one or more computer-readable media. The computer-readable medium can be a computer-readable signal medium or a computer-readable storage medium. The computer-readable storage medium can be, for example, but not limited to, an electrical, magnetic, optical, electrical, magnetic, infrared, or semiconductor system, device or device, or any combination of the above. More specific examples (non-exhaustive list) of computer-readable storage media include: an electrical connection with one or more wires, a portable computer disk, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the above. In the present invention, a computer-readable storage medium can be any tangible medium containing or storing a program, which can be used by an instruction execution system, device or device or used in combination with it.
[0066] In the description of this specification, the description with reference to the terms "one embodiment", "example", "specific example", etc. means that the specific features, structures, materials or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present disclosure. In this specification, the schematic representation of the above terms does not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials or characteristics described can be combined in any one or more embodiments or examples in a suitable manner.
[0067] The above shows and describes the basic principles, main features and advantages of the present disclosure. Those skilled in the art should understand that the present disclosure is not limited by the above embodiments, and the above embodiments and descriptions are only for explaining the principles of the present disclosure. Without departing from the spirit and scope of the present disclosure, the present disclosure may have various changes and improvements, and these changes and improvements fall within the scope of the present disclosure to be protected.
Claims
1. A W-band encryption transmission method based on dual-frequency key transmission, characterized in that: The method comprises the following steps: The transmitter generates raw data and inputs the raw data into the pre-established 3D Lorenz chaotic model for bit masking, constellation point permutation and rotation, and outputs the encrypted ciphertext and the key corresponding to the ciphertext; The sending end transmits the encrypted ciphertext and the key corresponding to the ciphertext to the receiving end, and decrypts the encrypted ciphertext using the key corresponding to the ciphertext to obtain the decrypted original data, wherein the key corresponding to the ciphertext is based on the principle of key transmission during transmission.
2. According to claim 1, a W-band encryption transmission method based on dual-frequency key transmission is characterized in that: The processing of the raw data includes: The data is bit masked, converted from serial to parallel and mapped to the 16QAM constellation. The constellation points are extracted and the perturbation factors are used to achieve data position replacement and constellation point rotation. The center point is used as the rotation axis to form a constellation point loop by performing random angle rotation. After inverse Fourier transformation and cyclic prefix addition, the data is sent to the 16QAM constellation.
3. The W-band encryption transmission method based on dual-frequency key transmission according to claim 1, characterized in that: The equations of the pre-established 3D Lorenz chaos model are as follows: Wherein, parameter t represents time. Equation (1) is a set of partial differential equations derived from time t. When the system parameters are σ=10, ρ=28, β=8 / 3, the system will be in a chaotic state. The initial value is set in a specific interval x∈(-20,20), y∈(-20,20), z∈(10,40), and the key is updated in this dynamic interval.
4. The W-band encryption transmission method based on dual-frequency key transmission according to claim 3 is characterized in that: The partial differential equation group derived from the time t is used to process the x sequence to obtain formula (2), and the sequences x' and x", where x' represents the position information used to identify the position of the inserted bit data, x", is the masking information sequence to be inserted, and floor is a floor function that returns the largest integer value less than or equal to x; Where mod(*) is the remainder function.
5. The W-band encryption transmission method based on dual-frequency key transmission according to claim 1, characterized in that: When the constellation points are replaced, the constellation points are extracted after constellation mapping and the data are randomly replaced, which does not cause disturbance to the overall position of the constellation points. It is only the data replacement of the constellation points, and the overall distribution of the constellation points does not change.
6. A W-band encryption transmission method based on dual-frequency key transmission according to claim 5, characterized in that: The constellation point rotation process: The chaotic sequence z is used to realize the constellation point rotation. The z sequence is processed into a constellation point phase scrambling factor θ with a random value, where S is the constellation point before encryption and S' is the constellation point after encryption. Finally, the constellation point is rotated into a circular distribution. The formula is as follows:
7. The W-band encryption transmission method based on dual-frequency key transmission according to claim 1, characterized in that: The key transmission principle is as follows: The transmitter uses three wavelengths to beat and select two signals of different frequencies to send the ciphertext and key respectively. The modulation format of the key used is QPSK, and the key is interpolated at the same time. Due to the characteristics of the chaotic sequence's sensitivity to initial values, the generated key is highly random and unpredictable. If the key is wrong, the receiver cannot recover the data normally. In addition, the receiving end needs to re-authenticate the information to judge and recover the key. After the key is mapped to the bit data transmission, it needs to be corrected at the receiving end. The key and ciphertext are sent and transmitted at the same time. The two do not interfere with each other, and the key information cannot be obtained based on the ciphertext information.
8. A W-band encryption transmission device based on dual-frequency key transmission, characterized in that: include: The data processing module is used to generate raw data at the sending end, input the raw data into the pre-established 3D Lorenz chaotic model for bit masking, constellation point permutation and rotation, and output the encrypted ciphertext and the key corresponding to the ciphertext; The data transmission module is used for transmitting the encrypted ciphertext and the key corresponding to the ciphertext from the sending end to the receiving end, and decrypting the encrypted ciphertext using the key corresponding to the ciphertext to obtain the decrypted original data, wherein the key corresponding to the ciphertext is based on the principle of key transmission during transmission.
9. A terminal device, comprising a memory, a processor, and a computer program stored in the memory and capable of running on the processor, characterized in that: The memory stores a computer program that can be run on the processor. When the processor loads and executes the computer program, a W-band encryption transmission method based on dual-frequency key transmission as described in any one of claims 1 to 7 is adopted.
10. A computer-readable storage medium having a computer program stored therein, characterized in that: When the computer program is loaded and executed by the processor, a W-band encryption transmission method based on dual-frequency key transmission as described in any one of claims 1 to 7 is adopted.