A method and system for encrypted communication based on probabilistic shaping and double single sideband modulation
By employing a probabilistic shaping and dual single-sideband modulation encryption communication method, and utilizing a hyperchaotic model to generate chaotic sequences and mask factor rotation encryption, combined with probabilistic shaping and QPSK modulation, the problems of low transmission efficiency and signal distortion in double-sideband modulation are solved, thus achieving efficient and secure encrypted communication.
Patent Information
- Application Number
- CN202411632983.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-11-15
- Publication Date
- 2025-11-07
- Estimated Expiration
- 2044-11-15
AI Technical Summary
Double-sideband modulation suffers from low transmission efficiency and signal distortion in encrypted communication, which prevents the communication signal from being decrypted properly, affecting communication efficiency and task execution.
The method employs probabilistic shaping and dual single-sideband modulation, using a hyperchaotic model to generate a chaotic sequence, rotating and encrypting the 16QAM constellation diagram through a masking factor, and superimposing the left and right sideband carrier signals. Combined with probabilistic shaping and QPSK modulation, a hybrid signal is generated. The receiver separates the encrypted signal and the key signal through demodulation.
It improves the security and reliability of signal transmission, increases spectral efficiency, reduces the bit error rate, and ensures the accuracy of key signal transmission and the stability of communication.
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Figure CN119449300B_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The application belongs to the technical field of encrypted communication, and particularly relates to an encrypted communication method and system based on probability shaping and double-single-sideband modulation. BACKGROUND
[0002] Now, double-sideband modulation is widely used in radio broadcasting, communication systems, radar systems and satellite communication systems in industrial production. Double-sideband modulation is a basic form of amplitude modulation, which transmits information based on a carrier signal. The spectrum of the double-sideband modulated signal is symmetrical, containing an upper sideband (USB) and a lower sideband (LSB). Because the signals carried by the two sidebands are the same, one of the carrier and the sideband information is redundant, which leads to low transmission efficiency.
[0003] Therefore, a new modulation method, double-single-sideband modulation (DSSB), is created on the basis of double-sideband modulation. Double-single-sideband signals can be generated based on an in-phase quadrature (I / Q) modulator, two sidebands can transmit different information, and higher spectral efficiency can be obtained. However, double-single-sideband modulation may have a large distortion problem in some cases; the encrypted communication signal cannot be normally decrypted, the overall communication efficiency is reduced, and even the execution and decision of the task are affected. SUMMARY
[0004] The application provides an encrypted communication method and system based on probability shaping and double-single-sideband modulation, which improves the security and reliability of key transmission while ensuring signal transmission efficiency.
[0005] To achieve the above purpose, the technical scheme adopted by the application is:
[0006] The first aspect of the application provides an encrypted communication method based on probability shaping and double-single-sideband modulation, comprising:
[0007] Receiving an original bit stream and an initial key, generating a chaotic sequence according to the initial key by using a hyper-chaotic model; calculating a mask factor according to the chaotic sequence;
[0008] Conducting constellation mapping processing on the original bit stream to obtain a 16QAM constellation diagram; encrypting the 16QAM constellation diagram by rotating according to the mask factor to obtain an encrypted signal; and conducting QPSK modulation on the encrypted signal to obtain a left sideband carrier signal;
[0009] Conducting constellation mapping on the initial key after repeating and superimposing to obtain a key signal; conducting probability shaping and QPSK modulation on the key signal to obtain a right sideband carrier signal;
[0010] Superimpose the left side carrier signal and the right side carrier signal to obtain a mixed signal, and send the mixed signal to a receiver through a transmitter;
[0011] In response to the receiver receiving the mixed signal, demodulate the mixed signal to obtain an encrypted signal and a key signal, and decrypt the encrypted signal according to the key signal to obtain an original bit stream.
[0012] Further, the chaotic sequence is generated according to the initial key by using the hyperchaotic model, and the process includes:
[0013] The hyperchaotic model adopts the Chua circuit model, and the initial key is input into the Chua circuit model to obtain state variables , state variable and state variable , and the expression formula is:
[0014]
[0015] In the formula, the initial key is the initial value of state variable , state variable and state variable ; a, b, c and d are set constants; is an intermediate variable; t represents a step length;
[0016] The four-dimensional fractional-order Xu hyperchaotic model is solved by a fourth-order Runge-Kutta algorithm to obtain state variables , state variable and state variable at each step length; and the state variables , state variable and state variable at each step length are taken as the chaotic sequence.
[0017] Further, the mask factor is calculated according to the chaotic sequence, and the process includes:
[0018]
[0019] In the formula, is a rounding function to negative infinity; is a remainder operation function; , and are mask factors.
[0020] Further, the encrypted signal is obtained by rotating and encrypting the 16QAM constellation diagram according to the mask factor, and the process includes:
[0021] The mask factor , the mask factor and the mask factor as a rotation angle; according to a mask factor rotating the 4th constellation point in 16QAM constellation around x axis; according to a mask factor rotating the 5th constellation point in 16QAM constellation around y axis; according to a mask factor rotating the 6th constellation point in 16QAM constellation around z axis; according to a mask factor rotating the 4th constellation point in 16QAM constellation around x axis; according to a mask factor rotating the 5th constellation point in 16QAM constellation around y axis; according to a mask factor rotating the 6th constellation point in 16QAM constellation around z axis.
[0022] Further, the encrypted signal is QPSK modulated to obtain a left sideband carrier signal, the process comprising:
[0023] The encrypted signal is quadrature phase shift keying mapped to obtain a first baseband signal, the first baseband signal is sequentially up-sampled, root raised cosine filtered and up-converted to obtain a first intermediate frequency signal; a frame header is inserted into the first intermediate frequency signal to obtain the left sideband carrier signal.
[0024] Further, the key signal is probability shaped and QPSK modulated to obtain a right sideband carrier signal, the process comprising:
[0025] Two bits in the key signal are taken as a single key symbol; the key symbol is mapped to four phases of QPSK modulation, and the probability of the key symbol is adjusted to obtain a second baseband signal, the second baseband signal is sequentially up-sampled, root raised cosine filtered and up-converted to obtain a second intermediate frequency signal; a frame header is inserted into the second intermediate frequency signal to obtain the right sideband carrier signal.
[0026] Further, the left sideband carrier signal and the right sideband carrier signal are superimposed to obtain a mixed signal, the process comprising:
[0027]
[0028] wherein, is a mixed signal; J -1 and J1 are the first kind of Bessel function, R is the resistance of the quadrature modulator IQ, is the quadrature modulator IQ modulation depth, and are the amplitudes of the left sideband carrier signal and the right sideband carrier signal; is the amplitude of the direct current component of the quadrature modulator IQ; and are the phases of the left sideband carrier signal and the right sideband carrier signal; and are the angular frequencies of the left sideband carrier signal and the right sideband carrier signal, t represents time.
[0029] Further, the mixed signal is demodulated to obtain the encrypted signal and the key signal, the process comprising:
[0030] After the received mixed signal is filtered by a band-pass filter to remove noise signals, the mixed signal is converted into a first baseband signal and a second baseband signal through frequency down-conversion; the amplitudes and phases of the first baseband signal and the second baseband signal are equalized through a constant modulus algorithm and a blind phase search, and the encrypted signal and the key signal are obtained through digital processing algorithm separation.
[0031] The second aspect of the application provides an encrypted communication system based on probability shaping and double single sideband modulation, comprising:
[0032] The acquisition module is configured to receive an original bit stream and an initial key, generate a chaotic sequence based on the initial key using a hyperchaotic model, and calculate a mask factor based on the chaotic sequence.
[0033] The encryption module is configured to perform constellation mapping on the original bit stream to obtain a 16QAM constellation diagram, rotate and encrypt the 16QAM constellation diagram based on the mask factor to obtain an encrypted signal, and perform QPSK modulation on the encrypted signal to obtain a left sideband carrier signal.
[0034] The transmission module is configured to perform constellation mapping on the initial key after repeating and superimposing to obtain a key signal, perform probability shaping and QPSK modulation on the key signal to obtain a right sideband carrier signal, superimpose the left sideband carrier signal and the right sideband carrier signal to obtain a mixed signal, and send the mixed signal to a receiver through a transmitter.
[0035] The decryption module is configured to demodulate the mixed signal to obtain the encrypted signal and the key signal in response to the receiver receiving the mixed signal, and decrypt the encrypted signal based on the key signal to obtain the original bit stream.
[0036] The third aspect of the application provides an electronic device comprising a storage medium and a processor; the storage medium is configured to store instructions; and the processor is configured to operate according to the instructions to execute the encrypted communication method of the first aspect.
[0037] Compared with the prior art, the application has the following advantages:
[0038] The chaotic sequence generated by the hyperchaotic model has high unpredictability and complexity, making the encryption process more secure and difficult to crack; the mask factor calculated from the chaotic sequence rotates and encrypts the 16QAM constellation diagram, increasing the randomness and concealment of the signal.
[0039] The initial key is repeatedly superimposed as a key signal in the application, the redundancy of the key signal is increased, and the reliability of the key signal transmission is preliminarily ensured; the right sideband carrier signal is obtained by probability shaping and QPSK modulation of the key signal, the probability shaping of the key signal can reduce the average power of the signal while maintaining the data transmission rate, and the spectrum efficiency is improved; the probability shaping technology is used to increase the occurrence probability of low-energy symbols and reduce the occurrence probability of high-energy symbols, thereby reducing the bit error rate of the key signal transmission, and further ensuring the accuracy of the key signal transmission. BRIEF DESCRIPTION OF DRAWINGS
[0040] Figure 1 is a flowchart of an encryption communication method based on probability shaping and double single sideband modulation provided by the embodiment 1 of the application;
[0041] Figure 2 is a flowchart of chaotic encryption provided by the embodiment 1 of the application;
[0042] Figure 3 is an attractor phase diagram of a hyperchaotic model provided by the embodiment 1 of the application;
[0043] Figure 4 is a flowchart of superimposing a left sideband carrier signal and a right sideband carrier signal to obtain a mixed signal provided by the embodiment 1 of the application;
[0044] Figure 5 is a schematic diagram of a mixed signal constellation diagram provided by the embodiment 1 of the application;
[0045] Figure 6 is a probability distribution diagram of a left sideband carrier signal provided by the embodiment 1 of the application;
[0046] Figure 7 is a probability distribution diagram of a right sideband carrier signal provided by the embodiment 1 of the application;
[0047] Figure 8 is a probability distribution diagram of a mixed signal provided by the embodiment 1 of the application. DETAILED DESCRIPTION
[0048] The application will be further described below in conjunction with the drawings. The following embodiments are only used to more clearly illustrate the technical solutions of the application, and cannot be used to limit the protection scope of the application.
[0049] Embodiment 1
[0050] As shown in Figure 1 , the present embodiment provides an encryption communication method based on probability shaping and double single sideband modulation, comprising:
[0051] receiving an original bit stream and an initial key, as Figure 2As shown, a hyperchaotic model is used to generate chaotic sequences based on the initial key. The process includes:
[0052] The hyperchaotic model employs the Chua's circuit model, and the initial key is input into the Chua's circuit model to obtain state variables. State variables and state variables The formula is as follows:
[0053]
[0054] In the formula, the initial key is a state variable. State variables and state variables The initial values are: a, b, c, and d are set constants; The variable is an intermediate variable; t represents the step size.
[0055] The state variables at each step size were obtained by solving the four-dimensional fractional-order Xu hyperchaotic model using the fourth-order Runge-Kutta algorithm. State variables and state variables ; the state variables at each step size State variables and state variables As a chaotic sequence;
[0056] Initial conditions in this implementation ( , , n) = (0.2, -0.1, 0.2), state variables State variables and state variables The values range are (-3,3), (-1,1), and (-5,5); the constants a, b, c, and d are 10, 14.87, -1.27, and -0.65, respectively; For example... Figure 3 The image shows the attractor phase diagram of the Chua's circuit model. Due to the sensitivity of the initial values in the hyperchaotic model, even a slight change in the initial chaotic values will produce almost entirely different complex chaotic trajectories.
[0057] The mask factor is calculated based on the chaotic sequence. The process includes:
[0058]
[0059] In the formula, This is a rounding function for negative infinity. This is the remainder operation function; , and is the mask factor.
[0060] The original bit stream is subjected to constellation mapping to obtain a 16QAM constellation diagram; the 16QAM constellation diagram is subjected to rotation encryption according to a mask factor to obtain an encrypted signal, and the process includes:
[0061] The mask factor , the mask factor , and the mask factor are taken as rotation angles; the first constellation point in the 16QAM constellation diagram is subjected to rotation around an x-axis according to the mask factor ; the first constellation point in the 16QAM constellation diagram is subjected to rotation around a y-axis according to the mask factor ; and the first constellation point in the 16QAM constellation diagram is subjected to rotation around a z-axis according to the mask factor .
[0062] The encrypted signal is subjected to QPSK modulation to obtain a left sideband carrier signal, and the process includes:
[0063] The encrypted signal is subjected to quadrature phase shift keying mapping to obtain a first baseband signal, and the first baseband signal is subjected to upsampling, root-raised cosine filtering, and up-conversion in sequence to obtain a first intermediate frequency signal; a frame header is inserted into the first intermediate frequency signal to obtain the left sideband carrier signal.
[0064] The initial key is subjected to repeated superposition and then subjected to constellation mapping to obtain a key signal; the key signal is subjected to probability shaping and QPSK modulation to obtain a right sideband carrier signal, and the process includes:
[0065] Two bits in the key signal are taken as a single key symbol; the key symbol is mapped to four phases of QPSK modulation, and the probability of the key symbol is adjusted to obtain a second baseband signal, and the second baseband signal is subjected to upsampling, root-raised cosine filtering, and up-conversion in sequence to obtain a second intermediate frequency signal; a frame header is inserted into the second intermediate frequency signal to obtain the right sideband carrier signal.
[0066] As shown in Figure 4 , the left sideband carrier signal and the right sideband carrier signal are superimposed to obtain a mixed signal, and the process includes:
[0067] The left sideband carrier signal and the right sideband carrier signal can be represented as:
[0068]
[0069]
[0070] In the formula, represents the left sideband carrier signal; represents the right sideband carrier signal; is a first baseband signal; is a second baseband signal; j is an imaginary unit; is a carrier frequency; is a circular constant; t is time;
[0071] The left side band carrier signal and the right side band carrier signal are input to an arbitrary waveform transmitter for signal addition to obtain a superposition signal , and the expression formula is:
[0072]
[0073] The superposition signal is input to a quadrature modulator IQ through an electrical amplifier to obtain an optical modulation signal, and the expression formula is:
[0074]
[0075] In the formula, is an optical modulation signal; is a guided wave light generated by a laser configured for the quadrature modulator IQ; j -1 and J1 are Bessel functions of the first kind; is a modulation depth of the quadrature modulator IQ, and are amplitudes of the left side band carrier signal and the right side band carrier signal; and are phases of the left side band carrier signal and the right side band carrier signal; and are angular frequencies of the left side band carrier signal and the right side band carrier signal;
[0076] The optical modulation signal is input to an optical attenuator and an optoelectronic converter to obtain a mixed signal, and the mixed signal will beat with each other and beat with itself at the optoelectronic converter, and the expression formula is:
[0077]
[0078] wherein, represents a mixed signal; R is a resistance of the quadrature modulator IQ, is an amplitude of a direct current component of the quadrature modulator IQ; t represents time.
[0079] As Figure 5 shown, the constellation point corresponding to the mixed signal in the constellation diagram is obtained by superimposing the left side band carrier signal and the right side band carrier signal, and satisfies the rule of phase addition and amplitude multiplication, and the mixed signal can be separated into the left side band carrier signal and the right side band carrier signal at a receiving end through a digital signal processing algorithm.
[0080] As Figure 6 to Figure 7The probability distribution of the left sideband signal and the right sideband signal is shown as follows: Figure 8 The probability distribution of the mixed signal is shown as follows: when the probability of (1, 0) in the right sideband signal is much higher than the other three points, the probability of the final superimposed mixed signal at the four central points will be higher than that at other points; in the probability shaping process of the key signal, different probabilities are assigned to the symbols according to the channel conditions, thereby improving the efficiency of information transmission. In the case of low signal-to-noise ratio, the channel capacity can be effectively utilized. Under the given channel conditions, the maximum transmission rate of the channel is approached, and the distribution of the symbols is adjusted, which can reduce the transmission probability of some symbols that are prone to errors and increase the transmission probability of some symbols that are more robust under the current channel conditions, thereby reducing the bit error rate, which is particularly important for optimizing the noise in the mixed signal. By probability shaping, the probability of points with small energy in the constellation diagram is improved, which can maximize the constellation figure merit factor and obtain the optimal signal.
[0081] The mixed signal is transmitted to the receiver by the transmitter; in response to the receiver receiving the mixed signal, the mixed signal is demodulated to obtain the encrypted signal and the key signal, and the process includes:
[0082] After the received mixed signal is filtered by a band-pass filter to remove the noise signal, the mixed signal is converted into a first baseband signal and a second baseband signal by frequency down-conversion; the amplitudes and phases of the first baseband signal and the second baseband signal are equalized by a constant modulus algorithm and a blind phase search, and the encrypted signal and the key signal are separated by a digital processing algorithm; the encrypted signal is decrypted according to the key signal to obtain the original bit stream.
[0083] Embodiment 2
[0084] The embodiment provides an encrypted communication system based on probability shaping and double single sideband modulation, and the encrypted communication system in the embodiment can be used to perform the encrypted communication method in embodiment 1, and the encrypted communication system comprises:
[0085] The acquisition module is configured to receive an original bit stream and an initial key, generate a chaotic sequence according to the initial key by using a hyperchaotic model, and calculate a mask factor according to the chaotic sequence;
[0086] The encryption module is configured to perform constellation mapping on the original bit stream to obtain a 16QAM constellation diagram, rotate and encrypt the 16QAM constellation diagram according to the mask factor to obtain an encrypted signal, and perform QPSK modulation on the encrypted signal to obtain a left sideband signal.
[0087] The transmission module superimposes the initial key repeatedly, performs constellation mapping to obtain a key signal, performs probability shaping and QPSK modulation on the key signal to obtain a right sideband carrier signal, superimposes a left sideband carrier signal and the right sideband carrier signal to obtain a mixed signal, and sends the mixed signal to the receiver through a transmitter.
[0088] The decryption module demodulates the mixed signal to obtain an encrypted signal and a key signal in response to the receiver receiving the mixed signal, and decrypts the encrypted signal according to the key signal to obtain an original bit stream.
[0089] In the embodiment, the probability shaping and QPSK modulation are performed on the key signal to obtain the right sideband carrier signal. The probability shaping performed on the key signal can reduce the average power of the signal while maintaining the data transmission rate and improving the spectral efficiency. Through the probability shaping technology, the occurrence probability of low-energy symbols is increased, and the occurrence probability of high-energy symbols is reduced, so as to reduce the bit error rate of the key signal transmission, and further ensure the accuracy of the key signal transmission.
[0090] Embodiment 3
[0091] The embodiment provides an electronic device including a storage medium and a processor. The storage medium is configured to store instructions. The processor is configured to operate according to the instructions to perform the encryption communication method of embodiment 1.
[0092] Those skilled in the art will understand that the embodiments of the present application can be provided as a method, a system, or a computer program product. Therefore, the present application can take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Moreover, the present application can take the form of a computer program product implemented on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROMs, optical storage, etc.) containing computer-usable program code.
[0093] The present application is described with reference to flowcharts and / or block diagrams according to the methods, devices (systems), and computer program products of the embodiments of the present application. It should be understood that each flow and / or block in the flowcharts and / or block diagrams, and the combination of flows and / or blocks in the flowcharts and / or block diagrams can be implemented by computer program instructions. These computer program instructions can be provided to a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing devices to produce a machine, so that the instructions executed by the computer or other programmable data processing devices produce a device that implements the functions specified in the flowcharts and / or block diagrams. Figure 1 The device that implements the functions specified in one flow or multiple flows and / or blocks Figure 1 The device that implements the functions specified in one flow or multiple flows and / or blocks
[0094] These computer program instructions can also be stored in a computer readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer readable memory produce an article of manufacture including instructions which implement the flow Figure 1 The flow or flows and / or blocks Figure 1 The flow or flows and / or blocks
[0095] These computer program instructions can also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions that are executed on the computer or other programmable apparatus provide steps for implementing the flow Figure 1 The flow or flows and / or blocks Figure 1 The flow or flows and / or blocks
[0096] The above description is only preferred embodiments of the present application, it should be pointed out that for those skilled in the art, without departing from the technical principles of the present application, a number of improvements and modifications can be made, these improvements and modifications should also be considered as the protection scope of the present application.
Claims
1. A method of encrypted communication based on probabilistic shaping and dual single sideband modulation, characterized in that, The method comprises the steps of: receiving an original bit stream and an initial key, and generating a chaotic sequence according to the initial key by using a hyperchaotic model; calculating a mask factor according to the chaotic sequence; performing constellation mapping on the original bit stream to obtain a 16QAM constellation diagram, and performing rotation encryption on the 16QAM constellation diagram according to the mask factor to obtain an encrypted signal; performing QPSK modulation on the encrypted signal to obtain a left sideband carrier signal; performing constellation mapping on the initial key after repeated superposition to obtain a key signal, and performing probability shaping and QPSK modulation on the key signal to obtain a right sideband carrier signal; superimposing the left sideband carrier signal and the right sideband carrier signal to obtain a mixed signal, and transmitting the mixed signal to a receiver through a transmitter; 2. The encrypted communication method of claim 1, wherein, in response to the receiver receiving the mixed signal, demodulating the mixed signal to obtain the encrypted signal and the key signal, and decrypting the encrypted signal according to the key signal to obtain the original bit stream. The super-chaotic model adopts a Chua circuit model, and initial keys are input into the Chua circuit model to obtain state variables , state variables , and state variables , and the expression formula is: ; In the formula, the initial key is a state variable , the initial value of the state variable and the state variable ; a, b, c and d are set constants; is an intermediate variable; t represents a step length; The state variables of each step length are obtained by solving the Chua's circuit model through the fourth-order Runge-Kutta algorithm , the state variable and the state variable ; the state variables of each step length , the state variable and the state variable are taken as chaotic sequences.
3. The encrypted communication method of claim 2, wherein, The process of generating a chaotic sequence according to the initial key by using a hyperchaotic model comprises the steps of: ; In the formula, is a floor function to negative infinity; is a remainder operation function; , and are mask factors.
4. The encrypted communication method of claim 3, wherein, calculating a mask factor according to the chaotic sequence, the process comprising the steps of: mask factor Mask factor and mask factor As the rotation angle; based on the mask factor The 16QAM constellation chart The constellation points are rotated around the x-axis; based on the mask factor... The 16QAM constellation chart Each constellation point rotates around the y-axis; based on the mask factor The 16QAM constellation chart Each constellation point rotates around the z-axis.
5. The encrypted communication method of claim 1, wherein, performing rotation encryption on the 16QAM constellation diagram according to the mask factor to obtain an encrypted signal, the process comprising the steps of: performing QPSK modulation on the encrypted signal to obtain a left sideband carrier signal, the process comprising the steps of:
6. The encrypted communication method of claim 1, wherein, performing quadrature phase shift keying mapping on the encrypted signal to obtain a first baseband signal, and sequentially performing upsampling, root raised cosine filtering and up-conversion on the first baseband signal to obtain a first intermediate frequency signal; inserting a frame header into the first intermediate frequency signal to obtain the left sideband carrier signal. performing probability shaping and QPSK modulation on the key signal to obtain a right sideband carrier signal, the process comprising the steps of:
7. The encrypted communication method of claim 1, wherein, taking two bits in the key signal as a single key symbol; mapping the key symbol to four phases of QPSK modulation, and adjusting the probability of the key symbol to obtain a second baseband signal; sequentially performing upsampling, root raised cosine filtering and up-conversion on the second baseband signal to obtain a second intermediate frequency signal; and inserting a frame header into the second intermediate frequency signal to obtain the right sideband carrier signal. ; wherein is represented as a mixed signal; J -1 and J1are the first kind Bessel functions, R is the resistance of the quadrature modulator IQ, is the quadrature modulator IQ modulation depth, and is the amplitude of the left and right sideband carrier signals; is the quadrature modulator IQ DC component amplitude; and is the phase of the left and right sideband carrier signals; and is the angular frequency of the left and right sideband carrier signals, t is represented as time.
8. The encrypted communication method of claim 1, wherein, superimposing the left sideband carrier signal and the right sideband carrier signal to obtain a mixed signal, the process comprising the steps of: demodulating the mixed signal to obtain the encrypted signal and the key signal, the process comprising the steps of:
9. A cryptographic communication system based on probabilistic shaping and dual single sideband modulation, characterized in that, after filtering the received mixed signal by using a band-pass filter to remove noise signals, converting the mixed signal into a first baseband signal and a second baseband signal by using down-conversion; equalizing the amplitudes and phases of the first baseband signal and the second baseband signal by using a constant modulus algorithm and a blind phase search; and separating the encrypted signal and the key signal by using a digital processing algorithm. The method comprises the steps of: an acquisition module, configured to receive an original bit stream and an initial key, and generate a chaotic sequence according to the initial key by using a hyperchaotic model; calculating a mask factor according to the chaotic sequence; an encryption module, configured to perform constellation mapping on the original bit stream to obtain a 16QAM constellation diagram; performing rotation encryption on the 16QAM constellation diagram according to the mask factor to obtain an encrypted signal; and performing QPSK modulation on the encrypted signal to obtain a left sideband carrier signal; The transmission module performs constellation mapping on the initial key after repeated superposition to obtain a key signal; performs probability shaping and QPSK modulation on the key signal to obtain a right sideband carrier signal; superimposes the left sideband carrier signal and the right sideband carrier signal to obtain a mixed signal, and transmits the mixed signal to the receiver through a transmitter; The decryption module, in response to the receiver receiving the mixed signal, demodulates the mixed signal to obtain an encrypted signal and a key signal, and decrypts the encrypted signal according to the key signal to obtain an original bit stream.
10. An electronic device comprising a storage medium and a processor; the storage medium is configured to store instructions; characterized in that, The processor is configured to operate according to the instructions to perform the encryption communication method of any one of claims 1 to 8.
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