A method for generating a physical layer security non-stationary signal

Abstract

The application discloses a kind of physical layer security non-stationary signal generation methods, it is related to wireless communication physical layer security technical field, including the following steps: constructing prime multiple set and establishing mapping interval, generating symbol codebook and chip codebook using recursive mapping algorithm;Based on symbol codebook and chip codebook, respectively construct interleaving extension matrix and flatten, obtain extended chip sequence and extended symbol sequence;Using extended chip sequence point-by-point spread spectrum to extended symbol sequence, generate final transmission signal.The present application can greatly improve the anti-interception, anti-eavesdropping ability while ensuring that the legitimate user can receive reliably, and provides a new technical inspiration for the current physical layer security field.

Description

Technical Field

[0001] This invention relates to the field of next-generation information network technology, and more specifically, to a method for generating physical layer security non-stationary signals. Background Technology

[0002] Wireless communication is a communication method that uses electromagnetic waves to transmit information in free space. It enables long-distance exchange of voice, data, and images, and transmission of digital information without relying on physical cables. It modulates signals onto radio waves, which are then transmitted by an antenna at the transmitting end and captured and demodulated by an antenna at the receiving end to reconstruct the information. It is widely used in mobile communications, Wi-Fi, Bluetooth, satellite communications, and the Internet of Things (IoT), driving comprehensive connectivity in a smart society.

[0003] With the rapid development of wireless communication technology, the demand for communication security in the transmission of digital information is increasing. In the processes of wireless communication networks, internet security services, fiber optic broadband operation services, the construction and networking of next-generation mobile communication core networks and access networks, mobile telecommunications services such as mobile voice services and mobile data communication services, as well as other telecommunications services, and blockchain-related services such as parallel chains, relay chains, and Ethereum, the openness and broadcast characteristics of wireless channels mean that existing technologies have limited anti-interception capabilities and severely insufficient anti-interference capabilities for standard communication signals. This is especially true in high-speed mobile and non-stationary channel scenarios, where there is an urgent need to improve transmission reliability. Summary of the Invention

[0004] To address the aforementioned problems, the present invention aims to provide a method for generating physical layer security non-stationary signals, which significantly improves anti-interception and anti-eavesdropping capabilities while ensuring reliable reception by legitimate users.

[0005] To achieve the above technical objectives, this application provides a method for generating physical layer security non-stationary signals, comprising the following steps: Construct a prime multiset and establish a mapping interval, then use a recursive mapping algorithm to generate a symbol codebook and a chip codebook. Based on the symbol codebook and chip codebook, an interleaved extended matrix is ​​constructed and flattened to obtain the extended chip sequence and extended symbol sequence; The extended symbol sequence is spread point-by-point using the extended chip sequence to generate the final transmission signal.

[0006] Preferably, when constructing a prime multiset, the original multiset is generated by obtaining the number of repetitions of the i-th prime number based on the set of prime numbers, and the total number of permutations of the multiset is obtained to establish a mapping interval, where i represents any one of the prime numbers.

[0007] Preferably, when obtaining the total number of permutations of a multiset, the total number of permutations of the multiset is obtained based on the total length of the multiset and the number of repetitions of the i-th prime number.

[0008] Preferably, when obtaining the total length of the multiset, the total length of the multiset is obtained based on the number of repetitions of the i-th prime number.

[0009] Preferably, when establishing the mapping interval, based on the total number of permutations of the multiset, the interval is divided and integer indices are obtained by defining normalized input parameters.

[0010] Preferably, when acquiring the symbol codebook, the symbol codebook is generated based on integer indices, through... Each element is determined recursively in the next iteration, where the generation rules for the chip codebook and the symbol codebook are the same.

[0011] Preferably, when acquiring the extended symbol sequence, the number of local permutations is calculated to construct a decision threshold, the threshold interval is determined, and then element determination and updating are performed. Then, a symbol period matrix is ​​constructed by defining the symbol period and the period of the symbol period. Based on the symbol periodic matrix, an extended symbol sequence is obtained by constructing and flattening a symbol interleaving extension matrix. The extended chip sequence is generated under the same rules as the extended symbol sequence.

[0012] Preferably, when calculating the number of local permutations, the number of repetitions of each of the remaining prime numbers is obtained based on the current number of digits to determine the total number of remaining elements, and the number of local permutations is calculated by setting the Kronecker function.

[0013] Preferably, when performing element determination and updating, the element determination and updating are performed based on the constructed decision threshold and the size relationship between the decision threshold and the integer index.

[0014] Preferably, when generating the final transmission signal, the extended symbol sequence is spread point by point using the extended chip sequence to generate spread spectrum signal samples, so as to construct a sample set and form the final transmission signal as a non-stationary communication signal.

[0015] The present invention discloses the following technical effects: The method proposed in this invention achieves unique index mapping through a multiset permutation algorithm, which significantly improves anti-interception capabilities during the transmission of digital information, based on wireless communication networks, Internet security services, fiber optic broadband operation services, construction and networking of next-generation mobile communication core networks and access networks, mobile telecommunications services, mobile voice services, mobile data communication services and other telecommunications services, as well as blockchain-related services such as parallel chains, relay chains, and Ethereum.

[0016] This invention achieves non-stationary expansion by interleaving symbols and chips through matrix-based interleaving, which can reduce sequence correlation by utilizing the coprime property of prime numbers, and achieve unique index mapping by using multiset permutations.

[0017] After spreading the chip, the signal has stronger anti-interference, anti-multipath and anti-non-stationary degradation capabilities, which can significantly improve transmission reliability and synchronization performance in high-speed mobile and non-stationary channel scenarios. Attached Figure Description

[0018] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0019] Figure 1 This is a schematic diagram of the method described in this invention. Detailed Implementation

[0020] To make the objectives, technical solutions, and advantages of the embodiments of this application clearer, the technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. The components of the embodiments of this application described and shown in the accompanying drawings can generally be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of this application provided in the accompanying drawings is not intended to limit the scope of the claimed application, but merely represents selected embodiments of this application. All other embodiments obtained by those skilled in the art based on the embodiments of this application without inventive effort are within the scope of protection of this application.

[0021] like Figure 1 As shown, this invention provides a method for generating physical layer secure non-stationary signals. The physical layer of wireless communication, as the bottom layer of the OSI model (Open Systems Interconnection Reference Model), is the cornerstone of wireless communication. It is responsible for transparently transmitting the raw bit stream over the transmission medium. Its core tasks include signal modulation and demodulation, encoding, power control, and frequency management, ensuring that data can be reliably transmitted in the form of electrical signals, optical signals, or radio waves.

[0022] This invention constructs symbol codebooks and chip codebooks based on prime number multisets and multiset permutations, respectively, completing matrix-based interleaving and expansion of symbols and chips. Furthermore, it uses chips to perform non-stationary spreading on the symbols, generating communication signals suitable for non-stationary transmission. Specifically, this invention includes the following processes: S10: Construct a prime multiset and establish a mapping interval, and use a recursive mapping algorithm to generate a symbol codebook and a chip codebook.

[0023] Optionally, when constructing a prime multiset, the original multiset is generated by obtaining the repetition count of the i-th prime number based on the prime set, and the total length of the multiset and the total number of permutations of the multiset are obtained to establish the mapping interval.

[0024] In step 1 of one embodiment, a prime multiset can be constructed and a mapping interval can be established.

[0025] Right now:

[0026]

[0027] Optionally, when obtaining the total number of permutations of a multiset, the total number of permutations of the multiset is obtained based on the total length of the multiset and the number of repetitions of the i-th prime number.

[0028] For example, the total length and the number of permutations are:

[0029] In the formula, For the set of prime numbers, For the original multiset, Let be the number of times the i-th prime number is repeated. The total length of the multiset. The total number of permutations of a multiset. ! represents the total number of prime numbers, and ! represents factorial.

[0030] Optionally, when establishing the mapping interval, based on the total number of permutations of the multiset, the interval is divided and integer indices are obtained by defining normalized input parameters. Here, an integer index refers to a way of accessing elements in a sequence (such as an array, list, NumPy array, etc.) using integers as position identifiers.

[0031] Quantization mapping defines normalized input parameters. Divide the interval and obtain integer indices. .

[0032] To address the lack of a dedicated non-stationary signal generation mechanism for physical layer security in existing technologies, and the fact that most solutions simply add noise or random phase, resulting in limited security gains, this invention achieves unique index mapping through a multiset permutation algorithm, significantly improving anti-interception capabilities.

[0033] Optionally, when obtaining the symbol codebook, a symbol codebook is generated based on the integer index, and then... Each element is determined recursively in the next iteration, where the generation rules for the chip codebook and the symbol codebook are the same.

[0034] In step 2 of one embodiment, during the process of generating the symbol codebook based on the recursive mapping algorithm, based on the index... Generate symbol codebook ,pass The next iteration recursively determines each element. .

[0035] Optionally, when acquiring the extended symbol sequence, the number of local permutations is calculated to construct a decision threshold, determine the threshold interval, and then perform element determination and update. After that, a symbol period matrix is ​​constructed by defining the symbol period and the period of the symbol period. The decision threshold represents the critical value used to determine whether an event has occurred, whether an individual belongs to a certain category, or whether to take a certain action during the classification, diagnosis, or decision-making process. The symbol period matrix represents a matrix constructed with the symbol period as the time base.

[0036] Optionally, when calculating the number of local permutations, the number of repetitions of each of the remaining prime numbers is obtained based on the current number of digits to determine the total number of remaining elements, and the number of local permutations is calculated by setting the Kronecker function.

[0037] In step 2.1 of one embodiment, during the calculation of the local permutation number, the current position can be set as the nth position. The number of repetitions of the remaining prime numbers is . If the current position is a prime number. Then the number of permutations of the remaining digits is:

[0038] In the formula, The total number of remaining elements is the current total. The sum, It is the Kronecker function, when hour Otherwise , where n represents the total number of distinct primes in the current set of primes. This indicates that, at the current recursive step, the th... The number of times a prime number needs to appear in the remaining positions (i.e., the number of remaining repetitions).

[0039] In step 2.2 of one embodiment, during the threshold interval determination process, a decision threshold can be constructed. ,satisfy .

[0040] Optionally, when performing element determination and updating, the element determination and updating are performed based on the constructed decision threshold and the relationship between the decision threshold and the integer index.

[0041] In step 2.3 of one embodiment, during the element determination and update process, it is possible to find elements that satisfy... of ,make and update .

[0042] In step 2.4 of one embodiment, during the matrix-based interleaving extension process, a symbol period can be defined. Period with symbol period Construct a symbolic periodic matrix:

[0043] Optionally, based on the symbol periodic matrix, an extended symbol sequence is obtained by constructing and flattening a symbol interleaving extension matrix, wherein the extended chip sequence is generated according to the same rules as the extended symbol sequence.

[0044] For example, constructing and flattening the symbol interleaving extended matrix yields the extended symbol sequence:

[0045] In the formula, For symbol codebook, For symbol period, The period of the symbol period, For a symbol interleaving matrix, For extended symbol sequences.

[0046] In step 3 of one embodiment, the same mapping mechanism can be used to generate the chip codebook.

[0047] S20: Based on the symbol codebook and chip codebook, construct and flatten the interleaved extended matrix to obtain the extended chip sequence and extended symbol sequence.

[0048] For example, similarly after generating the chip codebook, in step 4 of one embodiment, the chip period is defined. Period with chip cycle Construct the chip periodic matrix:

[0049] Construct and flatten the symbol interleaving extended matrix to obtain the extended symbol sequence:

[0050] In the formula, For code chips and codebooks, For chip cycle, The period of the chip cycle, For chip interleaving matrix, For extended chip sequences.

[0051] To address the problems of complex and poorly controllable generation methods for non-stationary signals in existing technologies, which make it difficult to balance security, communication reliability, and implementation complexity, this invention employs a full permutation of prime number multisets to generate symbol and chip codebooks. The codebook consists of two parts: the first part is the periodic repetition rate, corresponding to the symbol period and chip period; the second part is the period length, corresponding to the period of the symbol period and the period of the chip period. Symbols and chips achieve non-stationary expansion through matrix interleaving, leveraging the coprime property of prime numbers to reduce sequence correlation, and simultaneously achieving unique index mapping through multiset permutations.

[0052] S30: The extended symbol sequence is spread point-by-point using the extended chip sequence to generate the final transmission signal.

[0053] Optionally, when generating the final transmission signal, the extended symbol sequence is spread point by point using the extended chip sequence to generate spread spectrum signal samples, so as to construct a sample set and form the final transmission signal as a non-stationary communication signal.

[0054] In step 5 of one embodiment, the extended symbol sequence is spread point-by-point using the extended chip sequence to generate the final transmission signal, i.e.:

[0055]

[0056] In the formula, For the first One spread spectrum signal sample This is the final output non-stationary communication signal.

[0057] To address the problem in existing technologies where the generated non-stationary signals are not optimized in conjunction with wireless channel characteristics and legitimate reception performance, which can easily lead to an increase in the legitimate reception bit error rate, this invention, after chip spread spectrum, provides signals with stronger anti-interference, anti-multipath, and anti-non-stationary degradation capabilities. In high-speed mobile and non-stationary channel scenarios, it can significantly improve transmission reliability and synchronization performance.

[0058] In traditional communication systems, symbols and chips often employ fixed-period or pseudo-random sequences, resulting in simple periodic structures and high correlations. These are prone to synchronization deviations and performance degradation in non-stationary channels. This invention, however, constructs a codebook using prime multisets and multiset permutations. It leverages the coprime property of prime numbers to eliminate sequence periodic redundancy and reduce the peak values ​​of sequence autocorrelation and cross-correlation. Simultaneously, a four-dimensional periodic system enables flexible configuration of non-stationary intensity, while matrix-based interleaving ensures provable regularity of the sequence structure. The resulting signal, after joint spread spectrum generation, maintains stable transmission characteristics in time-varying, frequency-selective, and fast-fading channels, effectively addressing the insufficient robustness of traditional methods in high-speed mobile scenarios.

[0059] In summary, the method disclosed in this invention pertains to a symbol-chip joint interleaving and spread spectrum signal generation method based on a multiset full permutation prime number book. This method constructs symbol and chip codebooks based on prime number multisets and multiset full permutations, respectively, and completes QAM modulation and matrix-based interleaving spread of symbols and chips. It then performs non-stationary spread spectrum on the symbol sequence using chip sequences to generate communication signals suitable for high-speed mobile and non-stationary channels. This invention achieves precise control of the non-stationary spread intensity and length by introducing a four-dimensional structure of symbol period, symbol period of period, chip period, and chip period of period. The interleaving spread of symbols and chips in matrix form transforms discrete periodic control into regular matrix operations, facilitating hardware implementation and mathematical analysis. After point-by-point spread spectrum of symbols using chips, the output signal exhibits low correlation, multipath resistance, and Doppler spread resistance, significantly improving transmission reliability and timing synchronization performance in high-speed mobile environments.

[0060] Example: This example targets short-distance non-stationary transmission scenarios (such as communication between IoT terminals). Based on prime number multisets and multiset permutations, it completes the construction of symbol codebooks and chip codebooks. Through matrix interleaving extension and non-stationary spread spectrum, it generates communication signals adapted to non-stationary channels. The specific implementation process is as follows: all parameters are selected to balance computational efficiency and transmission reliability, and the signal performance is guaranteed by relying on the coprime property of prime numbers and the uniqueness of multiset permutations.

[0061] 1. Implementation parameter preset: The number of communication symbols is set to 6 (to meet the requirements of short-distance low-speed transmission), the chip sequence length is 6, the spreading gain is 6, the non-stationary transmission bandwidth is adapted to a range of 100kHz-200kHz, the channel time-varying period is 0.1s, and small prime numbers are selected to construct multisets to reduce computational complexity.

[0062] 2. Symbol Codebook Construction: Select distinct small prime numbers to form a basic prime multiset M = {2, 3, 5} (no multiples, n = 3). Perform full permutations of M (since there are no multiples, the number of permutations is 3! = 6), resulting in 6 permutation sequences. Each sequence corresponds to a communication symbol, forming the symbol codebook. The specific correspondences are: symbol 0 → [2, 3, 5], symbol 1 → [2, 5, 3], symbol 2 → [3, 2, 5], symbol 3 → [3, 5, 2], symbol 4 → [5, 2, 3], symbol 5 → [5, 3, 2]. This codebook relies on the coprime property of 2, 3, and 5 to ensure that the sequences corresponding to any two symbols are orthogonal and there is no interference between symbols.

[0063] 3. Chip Codebook Construction: Select another set of small prime numbers to form a multiset of chip prime numbers N={2,3,7} (no multiplicity, m=3). Perform full permutation of the multiset on N to obtain 3!=6 chip sequences, which form the chip codebook. The sequence length is 6, matching the preset bandwidth requirement. The specific chip sequences are: chip 0→[2,3,7], chip 1→[2,7,3], chip 2→[3,2,7], chip 3→[3,7,2], chip 4→[7,2,3], chip 5→[7,3,2].

[0064] 4. Matrix-based interleaving extension of symbols and chips: Using the six symbol sequences in the symbol codebook as row vectors and the six chip sequences in the chip codebook as column vectors, a 6×6 interleaving matrix is ​​constructed. Interleaving extension is achieved through matrix dot product (multiplying corresponding elements of row and column vectors to obtain interleaving matrix elements). For example, multiplying the row vector [2,3,5] of symbol 0 with the column vector [2,3,7] of chip 0 yields the following interleaving matrix elements: (0,0) 2×2=4, (0,1) 3×3=9, (0,2) 5×7=35, and so on, ultimately resulting in a 6×6 symbol-chip interleaving matrix. This achieves deep fusion of symbols and chips, improves signal anti-interference capability, and adapts to the time-varying characteristics of non-stationary channels.

[0065] 5. Non-stationary Spread Spectrum and Communication Signal Generation: Each element in the interleaving matrix is ​​used as the spreading factor at its corresponding position. The symbol sequence is non-stationary spread using a chip sequence. Based on the time-varying characteristics of the non-stationary channel (spreading parameters are adjusted every 0.1s), the chip sequence and spreading gain are dynamically selected: when channel interference is low, chips 0-2 are selected, and the spreading gain is maintained at 6; when channel interference increases, chips 3-5 are switched, increasing the spreading gain to 12, causing the power spectrum of the spread spectrum signal to change dynamically over time. The final generated communication signal is a 6×6 dimensional spread spectrum signal, possessing orthogonality, anti-interference capabilities, and non-stationary adaptability. It can effectively address the time-varying interference and fading problems of non-stationary channels, meeting the non-stationary transmission requirements of short-range IoT.

[0066] In summary, the signal generation process of this invention is divided into three parts: symbol processing, chip processing, and joint spread spectrum. The method proposed in this invention achieves unique index mapping through a multiset permutation algorithm. In the transmission of digital information, based on wireless communication networks, internet security services, fiber optic broadband operation services, the construction and networking of next-generation mobile communication core networks and access networks, mobile telecommunications services such as mobile voice services and mobile data communication services, and other telecommunications services, as well as blockchain-related services such as parallel chains, relay chains, and Ethereum, it significantly improves anti-interception capabilities. It uses prime number multiset permutations to generate symbol and chip codebooks. The codebook consists of two parts: the first part is the periodic repetition degree, corresponding to the symbol period and chip period; the second part is the period length, corresponding to the period of the symbol period and the period of the chip period. Symbols and chips achieve non-stationary expansion through matrix interleaving, utilizing the coprime property of prime numbers to reduce sequence correlation, and simultaneously achieving unique index mapping through multiset permutations. After chip spread spectrum, the signal has stronger anti-interference, anti-multipath and anti-non-stationary degradation capabilities, which can significantly improve transmission reliability and synchronization performance in high-speed mobile and non-stationary channel scenarios.

[0067] This invention is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0068] In the description of this invention, it should be understood that the terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of indicated technical features. Therefore, a feature defined as "first" or "second" may explicitly or implicitly include one or more of that feature. In the description of this invention, "a plurality of" means two or more, unless otherwise explicitly specified.

[0069] Obviously, those skilled in the art can make various modifications and variations to this invention without departing from its spirit and scope. Therefore, if these modifications and variations fall within the scope of the claims of this invention and their equivalents, this invention also intends to include these modifications and variations.

Claims

1. A method for generating a physical layer security non-stationary signal, characterized in that, Includes the following steps: Construct a prime multiset and establish a mapping interval, then use a recursive mapping algorithm to generate a symbol codebook and a chip codebook. Based on the symbol codebook and chip codebook, an interleaved extended matrix is ​​constructed and flattened to obtain the extended chip sequence and extended symbol sequence; The extended symbol sequence is spread point-by-point using the extended chip sequence to generate the final transmission signal.

2. The method for generating a physical layer security non-stationary signal according to claim 1, characterized in that: When constructing a prime multiset, the original multiset is generated by obtaining the number of repetitions of the i-th prime number based on the set of prime numbers, and the total number of permutations of the multiset is obtained to establish the mapping interval, where i represents any one of the prime numbers.

3. The method for generating a physical layer security non-stationary signal according to claim 2, characterized in that: When obtaining the total number of permutations of a multiset, the total number of permutations of the multiset is obtained based on the total length of the multiset and the number of repetitions of the i-th prime number.

4. The method for generating a physical layer security non-stationary signal according to claim 2, characterized in that: When obtaining the total length of the multiset, the total length of the multiset is obtained based on the number of repetitions of the i-th prime number.

5. The method for generating a physical layer security non-stationary signal according to claim 2, characterized in that: When establishing the mapping interval, based on the total number of permutations of the multiset, the interval is divided and integer indices are obtained by defining normalized input parameters.

6. The method for generating a physical layer security non-stationary signal according to claim 5, characterized in that: When obtaining the symbol codebook, a symbol codebook is generated based on the integer index, through... Each element is determined recursively in the next iteration, where the generation rules for the chip codebook and the symbol codebook are the same.

7. The method for generating a physical layer security non-stationary signal according to claim 1, characterized in that: When acquiring the extended symbol sequence, the number of local permutations is calculated to construct a decision threshold, determine the threshold interval, and then perform element determination and update. After defining the symbol period and the period of the symbol period, a symbol period matrix is ​​constructed. Based on the symbol periodic matrix, an extended symbol sequence is obtained by constructing and flattening a symbol interleaving extension matrix. The extended chip sequence is generated under the same rules as the extended symbol sequence.

8. The method for generating a physical layer security non-stationary signal according to claim 7, characterized in that: When calculating the number of local permutations, the number of repetitions of each of the remaining prime numbers is obtained based on the current number of digits to determine the total number of remaining elements. The Kronecker function is then used to calculate the number of local permutations.

9. The method for generating a physical layer security non-stationary signal according to claim 8, characterized in that: When determining and updating elements, the determination and updating of elements are performed based on the constructed decision threshold and the relationship between the decision threshold and the integer index.

10. A method for generating a physical layer security non-stationary signal according to any one of claims 1-9, characterized in that: When generating the final transmission signal, the extended symbol sequence is spread point by point using the extended chip sequence to generate spread spectrum signal samples, so as to construct a sample set and form the final transmission signal as a non-stationary communication signal.

Images