Wide-interval frequency hopping communication method and device for synchronous networking, equipment and medium

Abstract

The invention discloses a wide-interval frequency hopping communication method and device for synchronous networking, equipment and a medium, and relates to the field of frequency hopping communication, and the main points of the technical scheme are that a first sequence with the length of q is selected from a finite field with the size of q; wherein the first sequence is an m sequence, q is prime power, and n is any positive integer; randomly selecting a first positive integer l and a second positive integer e, and when the first positive integer l meets the first relation and the second positive integer e meets the second relation, constructing a second sequence with the length of 1 according to the first positive integer l and the second positive integer e; performing operation on each element in the second sequence by adopting an operation function to obtain an operation result of each element; constructing a frequency hopping sequence based on the operation result of each element; and coding wide-interval frequency hopping communication of the synchronous networking according to the frequency hopping sequence.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of frequency hopping communication, more particularly, it relates to a wide interval frequency hopping communication method, device, equipment and medium of synchronous networking. BACKGROUND

[0002] Significance of wide interval frequency hopping: for the frequency hopping communication technology of evading interference, the frequency band is prone to be interfered if staying on a frequency gap for too long time, so the frequency hopping sequence needs to meet the requirement of wide interval, that is, the frequency points of two adjacent time slots need to be different by a certain interval, which is beneficial to resist such interference. The wide interval of the frequency hopping sequence has the following benefits: 1) beneficial to resist wideband blocking interference and narrowband interference. As long as the interval of the sequence is large enough, the frequency band of the wideband blocking interference can be quickly jumped out; when there is narrowband interference, only the information in one time slot interfered by the single frequency is lost, and the information in several time slots is not continuously lost. 2) beneficial to resist tracking interference. The wide interval of the frequency hopping sequence has large frequency band span, which increases the search time of the enemy jammer, so that the tuning time is lengthened and the threat to the frequency hopping radio is reduced. 3) beneficial to resist multipath fading. When the frequency interval is greater than the coherence bandwidth of the channel, frequency diversity can be achieved to resist multipath fading.

[0003] At present, although there are some constructions of frequency hopping sequence sets with wide interval characteristics, the Hamming correlation characteristics of the frequency hopping sequence sets obtained by these constructions are poor or the randomness is poor. For example, the most commonly used dual-band method selectsively hops between two frequency bands according to the interval, and such selective hopping actually disrupts the arrangement rule of the original sequence, losing the good Hamming correlation characteristics of the original sequence. For another example, the existing wide interval frequency hopping sequence based on prime number sequence concatenation can well guarantee the wide interval, but the regularity of the prime number sequence is too obvious, which loses the good random characteristics of the frequency hopping sequence. SUMMARY

[0004] The purpose of the present application is to provide a wide interval frequency hopping communication method, device, equipment and medium of synchronous networking, which solves the problem of poor randomness or correlation characteristics of the wide interval frequency hopping sequence constructed by the prior art.

[0005] The above technical purpose of the present application is realized by the following technical scheme:

[0006] In a first aspect of the present application, a wide interval frequency hopping communication method of synchronous networking is provided, and the method comprises:

[0007] selecting a first sequence with a length of n from a finite field with a size of q; wherein the first sequence is an m sequence, q is a prime power, and n is an arbitrary positive integer;

[0008] ​A first positive integer l and a second positive integer e are selected at random, the first positive integer l satisfies a first relationship, and the second positive integer e satisfies a second relationship, and a second sequence with a length of is constructed according to the first positive integer l, the second positive integer e and .

[0009] An operation function is used to operate on each element in the second sequence to obtain an operation result of each element.

[0010] A frequency hopping sequence is constructed based on the operation result of each element.

[0011] The wide interval frequency hopping communication of the synchronous networking is encoded according to the frequency hopping sequence.

[0012] In an implementation scheme, the first relationship includes that the first positive integer l is greater than or equal to 5, and a greatest common divisor between the first positive integer l and is 1.

[0013] The second relationship includes that the second positive integer e is greater than or equal to 1 and less than or equal to one half of the first positive integer l, and a greatest common divisor between the second positive integer e and the first positive integer l is 1.

[0014] In an implementation scheme, the second sequence with a length of is constructed according to the first positive integer, the second positive integer and an element of the first sequence, including:

[0015] A product of j and the second positive integer e is calculated, and a remainder of the product modulo the first positive integer l is taken as a first element.

[0016] A remainder of j modulo is taken as an element index of the first sequence, an element of the first sequence is determined based on the element index of the first sequence, the element of the first sequence is added to i, and a remainder of the addition result modulo q is taken as a second element.

[0017] The second sequence with a length of is constructed according to a Cartesian product of the first element and the second element.

[0018] In an implementation scheme, an expression of the second sequence is: ; wherein,

[0019] , wherein, represents the first element, represents the second element.

[0020] In an implementation scheme, the operation function is a Cartesian product operation function.

[0021] In an implementation scheme, an expression of the frequency hopping sequence is: ; wherein, ; wherein, f[] represents an operation function of Cartesian product, f[(x, y)] = qx + y, q represents a prime power, and (x, y) respectively represent , .

[0022] The second aspect of the application provides a wide interval frequency hopping communication device for synchronous networking, the device comprising:

[0023] A first sequence construction module is configured to select a first sequence with a length of n from a finite field with a size of q; wherein the first sequence is an m sequence, q is a prime power, and n is an arbitrary positive integer;

[0024] A second sequence construction module is configured to select an arbitrary first positive integer l and an arbitrary second positive integer e, and when the first positive integer l satisfies a first relationship and the second positive integer e satisfies a second relationship, construct a second sequence with a length of n based on the first positive integer l, the second positive integer e, and the first sequence; A frequency hopping element operation module is configured to operate each element in the second sequence using an operation function to obtain an operation result of each element;

[0025] A frequency hopping sequence construction module is configured to construct a frequency hopping sequence based on the operation result of each element;

[0026] An encoding module is configured to encode the wide interval frequency hopping communication for synchronous networking based on the frequency hopping sequence.

[0027] In an implementation scheme, the first relationship comprises that the first positive integer l is greater than or equal to 5, and the greatest common divisor between the first positive integer l and n is 1;

[0028] The second relationship comprises that the second positive integer e is greater than or equal to 1 and less than or equal to one half of the first positive integer l, and the greatest common divisor between the second positive integer e and the first positive integer l is 1.

[0029] The second relationship comprises that the second positive integer e is greater than or equal to 1 and less than or equal to one half of the first positive integer l, and the greatest common divisor between the second positive integer e and the first positive integer l is 1.

[0030] The third aspect of the application provides an electronic device comprising a memory and a processor;

[0031] The memory is configured to store a computer program, and the computer program comprises program instructions;

[0032] The processor is configured to execute the program instructions to enable the electronic device to perform the steps of the wide interval frequency hopping communication method for synchronous networking provided by the first aspect of the application.

[0033] ​​​In a fourth aspect, the present application provides a computer readable storage medium comprising a computer program which, when executed by one or more processors, implements a wide interval frequency hopping communication method for synchronous networking as provided in the first aspect of the present application.

[0034] Compared with the prior art, the present application has the following beneficial effects:

[0035] The present application adopts the idea of Cartesian product, and the randomness and correlation characteristics thereof are consistent with the original first sequence, that is, the first sequence is taken as the x part, and the interval characteristics are controlled by the y part of the Cartesian product, so that the frequency hopping sequence generated thereby not only guarantees good Hamming correlation characteristics and randomness, but also guarantees wide interval characteristics. Moreover, the wide interval frequency hopping sequence designed by the present application has orthogonality, and is suitable for frequency hopping communication for synchronous networking. BRIEF DESCRIPTION OF DRAWINGS

[0036] The accompanying drawings, which are included to provide a further understanding of the embodiments of the present application and are incorporated in and constitute a part of this application, illustrate embodiments of the present application and together with the description serve to explain the principles of the present application. In the drawings:

[0037] Figure 1 A flowchart of a wide interval frequency hopping communication method for synchronous networking provided by the present application;

[0038] Figure 2 A principle block diagram of a wide interval frequency hopping communication device for synchronous networking provided by the present application. DETAILED DESCRIPTION

[0039] In order to make the objectives, technical solutions and advantages of the present application clearer, further detailed description will be given to the present application in combination with embodiments and drawings, and the illustrative embodiments of the present application and the description thereof are only used to explain the present application, and do not limit the present application.

[0040] It should be noted that the term “include” or “may include” used in various embodiments of the present application indicates the existence of the claimed function, operation or element, and does not limit the addition of one or more functions, operations or elements. In addition, as used in various embodiments of the present application, the terms “include”, “have” and their synonyms only mean to indicate specific features, numbers, steps, operations, elements, components or combinations of the foregoing, and should not be understood as first excluding the existence or addition of one or more other features, numbers, steps, operations, elements, components or combinations of the foregoing, or as first excluding the possibility of adding one or more features, numbers, steps, operations, elements, components or combinations of the foregoing.

[0041] It should be understood that terms such as "first", "second", etc., are used herein only to describe an object and are not to be construed as indicating relative importance or a preferred item over another. Thus, a feature defined with "first", "second", etc., can explicitly or implicitly include one or more of the features. In the description of the present application, the meaning of "a plurality" is two or more, unless otherwise explicitly and specifically limited.

[0042] The frequency hopping sequence set of the synchronous networking needs to have orthogonality between two sequences, that is, the Hamming cross-correlation value between any two frequency hopping sequences is 0 when completely synchronized. The full-band orthogonal frequency hopping is applied to such a network, and by designing orthogonal frequency hopping sequences, the same channel interference can be avoided.

[0043] Let F = {f1, f2,..., f q} be a set of q frequency slots, and S be a set consisting of M frequency hopping sequences with length N on F. For any f1, f2∈F, let: .

[0044] For any two frequency hopping sequences x = (x0, x1,..., x N−1 ), y = (y0, y1,..., y N−1 )∈S and any positive integer τ, the period Hamming correlation function H(x, y;τ) of x and y at time delay τ is defined as: , where i+τ is calculated according to mod N, and only positive time delays are considered.

[0045] Definition of maximum Hamming autocorrelation and maximum Hamming cross-correlation: for a frequency hopping sequence set S with sequence length N, the maximum period Hamming autocorrelation value H a (S), the maximum period Hamming cross-correlation H c (S), and the maximum period Hamming correlation H m (S) are defined as

[0046]

[0047]

[0048]

[0049] If the period Hamming cross-correlation function H(x, y;0) of the frequency hopping sequence set S at time delay τ = 0 is always 0, then S is called an orthogonal frequency hopping sequence set. For simplicity, we let H a =H a (S), H c =H c (S), and H m =Hm (S).

[0050] Definition of wide-slot interval: Let F = {0, 1, ..., q−1} be a set of frequency slots of size q, where the size of the numbers represents the frequency level. S is a set of M frequency-hopping sequences of length N from F. For any x = (x0, x1, ..., x...) N−1 For any x ∈ S, i = 0, 1, ..., N−1, if |x i -x i+1 If |≥d+1, then the frequency hopping sequence set S is said to have a wide interval, where the interval is d. Here, the subscripts are operated modulo N. If the frequency hopping sequence set S has a wide interval, then S is called a wide-interval frequency hopping sequence set.

[0051] Currently, although some frequency hopping sequence sets with wide-interval characteristics have been constructed, the Hamming correlation properties or randomness of the resulting sets are poor. For example, the most commonly used dual-band method selectively hops between two frequency bands based on the interval. This selective hopping disrupts the original sequence's regularity, resulting in the loss of the original sequence's good Hamming correlation properties. Another example is the existing wide-interval frequency hopping sequence based on cascaded prime number sequences. While the wide interval is well guaranteed, the regularity of the prime number sequences is too obvious, thus losing the good randomness that frequency hopping sequences should possess. In practical frequency hopping communication systems, frequency hopping sequence sets should have good Hamming correlation properties (i.e., the maximum Hamming correlation should be as small as possible) and good randomness, which existing wide-interval frequency hopping sequence sets struggle to simultaneously possess.

[0052] Figure 1 This is a flowchart illustrating a wide-interval frequency hopping communication method for synchronous networking provided in an embodiment of the present invention, as shown below. Figure 1 As shown, the method includes:

[0053] S101, select a length of from a finite field of size q. The first sequence; where the first sequence is an m-sequence, q is a prime power, and n is any positive integer.

[0054] In this embodiment, let q be a prime power and n be any positive integer. We select an m-sequence on GF(q), i.e., the first sequence, as follows: , where GF(q) is a finite field of size q.

[0055] S102, arbitrarily select a first positive integer l and a second positive integer e. When the first positive integer l satisfies the first relation and the second positive integer e satisfies the second relation, according to the first positive integer l, the second positive integer e and... Construction length is of the second sequence.

[0056] In the embodiment, the first relationship includes: the first positive integer l is greater than or equal to 5, and the greatest common divisor between the first positive integer l and is 1;

[0057] The second relationship includes: the second positive integer e is greater than or equal to 1 and less than or equal to one half of the first positive integer l, and the greatest common divisor between the second positive integer e and the first positive integer l is 1;

[0058] Specifically, the first positive integer l is selected to satisfy the first relationship, that is, l ≥ 5 and The second positive integer e is selected to satisfy the second relationship, that is, and wherein, gcd(x, y) represents the greatest common divisor function of x and y

[0059] Specifically, a second sequence with a length of is constructed according to the first positive integer, the second positive integer and the elements of the first sequence, including the following steps:

[0060] First, the product of j and the second positive integer e is calculated, and the remainder of the product modulo the first positive integer l is taken as the first element;

[0061] Secondly, the remainder of modulo is taken as the element index of the first sequence, the element of the first sequence is determined based on the element index of the first sequence, the element of the first sequence is added to i, and the remainder of the addition result modulo q is taken as the second element;

[0062] Finally, the second sequence with a length of is constructed according to the Cartesian product of the first element and the second element.

[0063] Specifically, the calculation process of the steps of constructing the second sequence described above is as follows:

[0064] First, wherein, represents the remainder of je modulo l, represents the Cartesian product of and .

[0065] Then, the second sequence is constructed as follows: .

[0066] S103, each element in the second sequence is operated by using an operation function to obtain the operation result of each element.

[0067] In the embodiment, let the operation function f[(x, y)] = qx + y; q represents a prime power, (x, y) respectively represent 、 .

[0068] Then ; and according to the function, the operation result of each element of the second sequence with the length of is determined.

[0069] S104, based on the operation result of each element, a frequency hopping sequence is constructed.

[0070] In the embodiment, based on the operation structure of step S103, the frequency hopping sequence can be determined as follows: ; from which the frequency hopping sequence is determined.

[0071] The orthogonality of the frequency hopping sequence provided in the embodiment will be demonstrated as follows:

[0072] The frequency hopping sequence C is a wide interval frequency hopping sequence set with the size of the frequency slot set being ql and the interval being , the maximum Hamming autocorrelation being , the maximum Hamming cross-correlation being , and satisfying the orthogonality.

[0073] Proof: for any sequence , first prove its wide interval characteristic, for any ,

[0074] Since and , the value of or , so

[0075]

[0076] That is, the interval of the frequency hopping sequence C is . For any sequence , the Hamming autocorrelation of

[0077]

[0078] When and only when , holds, and since , so at this time, only when τ is a multiple of can make for all always holds. So when , according to the properties of m sequence For any sequence and If i1 ≠ i2, their Hamming cross-correlation under time delay τ is:

[0079] When τ = 0, because ,so That is, the sequences satisfy orthogonality. When At that time, similar to the discussion of Hamming autocorrelation, combined with the properties of m-sequences, we have .

[0080] The proof is complete.

[0081] Example: Choosing q = 3, n = 2, l = 5, e = 2, we can obtain the following sequence set:

[0082] C =

[0083] {(1,6,13,4,11,0,8,14,4,9,1,7,14,3,11,2,7,12,4,10,2,6,14,5,10,0,7,13,5,9,2,8,13,3,10,1,8,12,5,11),

[0084] (2,7,14,5,9,1,6,12,5,10,2,8,12,4,9,0,8,13,5,11,0,7,12,3,11,1,8,14,3,10,0,6,14,4,11,2,6,13,3,9),

[0085] (0,8,12,3,10,2,7,13,3,11,0,6,13,5,10,1,6,14,3,9,1,8,13,4,9,2,6,12,4,11,1,7,12,5,9,0,7,14,4,10)}.

[0086] It can be verified that the frequency hopping sequence C is a set of frequency hopping sequences with wide spacing characteristics, where the spacing is d = 3, the maximum Hamming autocorrelation is 10, the maximum Hamming cross-correlation is 15, and the sequences satisfy orthogonality, making it suitable for synchronous networking.

[0087] The advantages of this invention over existing wide-interval frequency hopping sequence generation schemes are summarized as follows:

[0088]

[0089] As can be seen, the wide-interval frequency hopping sequence set obtained by the present invention has good Hamming correlation characteristics and randomness, and is orthogonal, making it suitable for synchronous frequency hopping communication networks.

[0090] S105, encode the wide interval frequency hopping communication of the synchronous networking according to the frequency hopping sequence.

[0091] In the embodiment, how to encode the wide interval frequency hopping communication of the synchronous networking by the frequency hopping sequence after the frequency hopping sequence is determined is the common knowledge of those skilled in the art, so the embodiment will not be described in detail.

[0092] Figure 2 A principle block diagram of a wide interval frequency hopping communication device of the synchronous networking provided by the embodiment is shown in the figure, which comprises: Figure 2

[0093] The first sequence construction module 210 is configured to select a first sequence with a length of n from a finite field with a size of q; wherein the first sequence is an m sequence, q is a prime power, and n is an arbitrary positive integer.

[0094] The second sequence construction module 220 is configured to select an arbitrary first positive integer l and an arbitrary second positive integer e, and when the first positive integer l satisfies a first relationship and the second positive integer e satisfies a second relationship, construct a second sequence with a length of n according to the first positive integer l, the second positive integer e and the first sequence.

[0095] The frequency hopping element operation module 230 is configured to operate each element in the second sequence by using an operation function to obtain an operation result of each element.

[0096] The frequency hopping sequence construction module 240 is configured to construct a frequency hopping sequence based on the operation result of each element.

[0097] The encoding module 250 is configured to encode the wide interval frequency hopping communication of the synchronous networking according to the frequency hopping sequence.

[0098] In the wide interval frequency hopping communication device of the synchronous networking provided by the embodiment, the idea of Cartesian product is adopted, the randomness and correlation characteristics of which are consistent with the original first sequence, that is, the first sequence is used as the x part, and the interval characteristics are controlled by the y part of the Cartesian product, so that the frequency hopping sequence generated in this way not only guarantees good Hamming correlation characteristics and randomness, but also guarantees the wide interval characteristics. And the wide interval frequency hopping sequence designed by the embodiment has orthogonality, which is suitable for frequency hopping communication of synchronous networking.

[0099] In some embodiments, the first relationship comprises that the first positive integer l is greater than or equal to 5, and the greatest common divisor between the first positive integer l and q-1 is 1.

[0100] ​​​​​The second relationship includes: a second positive integer e is greater than or equal to 1 and less than or equal to one-half of the first positive integer l, and the greatest common divisor between the second positive integer e and the first positive integer l is 1.

[0101] The embodiment of the present application also provides an electronic device. The electronic device includes a processor, a memory, a communication interface and at least one communication bus for connecting the processor, the memory and the communication interface. The memory includes but is not limited to a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (PROM) or a compact disc read-only memory (CD-ROM), and the memory is used for storing relevant instructions and data.

[0102] The communication interface is used for receiving and sending data. The processor can be one or more CPUs, and in the case of one CPU, the CPU can be a single-core CPU or a multi-core CPU. The processor in the electronic device is used to read one or more programs stored in the memory, and perform the following operations: selecting a first sequence with a length of from a finite field with a size of q; wherein the first sequence is an m sequence, q is a prime number raised to a power, and n is an arbitrary positive integer; an arbitrary first positive integer l and a second positive integer e are selected, the first positive integer l satisfies a first relationship, and the second positive integer e satisfies a second relationship, and when the first positive integer l and the second positive integer e are selected, a second sequence with a length of is constructed according to the first positive integer l, the second positive integer e and Each element in the second sequence is operated by using an operation function to obtain an operation result of each element; a frequency hopping sequence is constructed based on the operation result of each element; and the frequency hopping sequence is used to encode a wide-interval frequency hopping communication of a synchronous networking.

[0103] It should be noted that the specific implementation of each operation can be described in the method embodiment of the above Figure 1 The electronic device can be used to perform a synchronous networking wide-interval frequency hopping communication method of the above method embodiment of the present application, and details are not repeated here.

[0104] The embodiment of the present application further provides a computer readable storage medium, which is a memory device in a computer device and is used for storing programs and data. It can be understood that the computer readable storage medium herein can include an internal storage medium in the computer device, and of course can include an extended storage medium supported by the computer device. The computer readable storage medium provides a storage space, which stores an operating system of the terminal. In addition, one or more instructions suitable for being loaded and executed by the processor are also stored in the storage space, and the instructions can be one or more computer programs (including program codes). It should be noted that the computer readable storage medium herein can be a high-speed RAM memory or a non-volatile memory, for example, at least one disk memory. The one or more instructions stored in the computer readable storage medium can be loaded and executed by the processor to implement the corresponding steps of the wide interval frequency hopping communication method in the synchronization networking mode in the above embodiment. It should be understood by those skilled in the art that the embodiment of the present application can be provided as a method, a system or a computer program product. Therefore, the present application can be in the form of a complete hardware embodiment, a complete software embodiment or an embodiment combining software and hardware aspects. In addition, the present application can be in the form of a computer program product implemented on one or more computer usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer usable program codes.

[0105] The embodiment of the present application further provides a computer program product containing program instructions. The computer program product can be a software or program product containing program instructions, which can be run on a computing device or stored in any available medium. When the computer program product is run on at least one electronic device, the at least one electronic device is caused to perform a wide interval frequency hopping communication method in the synchronization networking mode.

[0106] The above detailed description is further used to explain the purpose, technical scheme and beneficial effects of the present application. It should be understood that the above detailed description is only a specific embodiment of the present application and is not used to limit the protection scope of the present application. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application should be included in the protection scope of the present application.

Claims

1. A method of wide-spaced frequency hopping communication in a synchronized network, characterized in that, The method comprises: Choose a length of q from a finite field of size q. The first sequence; where the first sequence is an m-sequence, q is a prime power, and n is any positive integer; Any first positive integer l and second positive integer e are selected, the first positive integer l satisfies a first relationship, and the second positive integer e satisfies a second relationship; a second sequence with a length of is constructed according to the first positive integer l, the second positive integer e, and ​ performing operation on each element in the second sequence by using an operation function to obtain an operation result of each element; constructing a frequency hopping sequence based on the operation result of each element; encoding the wide-interval frequency hopping communication of the synchronous networking according to the frequency hopping sequence.

2. The method of claim 1, wherein, The first relationship includes: a first positive integer l is greater than or equal to 5, and a greatest common divisor between the first positive integer l and is 1. The second relationship comprises: a second positive integer e is greater than or equal to 1 and less than or equal to one-half of the first positive integer l, and the greatest common divisor between the second positive integer e and the first positive integer l is 1.

3. The method of claim 2, wherein, constructing a second sequence of length from the first positive integer, the second positive integer, and the elements of the first sequence, comprising: The product of j and the second positive integer e is calculated, and the remainder of the product modulo the first positive integer l is taken as the first element. j mod the remainder of the addition of i and the element of the first sequence as a second element; A second sequence of length is constructed according to the Cartesian product of the first and second elements.

4. The method of claim 3, wherein, The expression of the second sequence is: ; wherein, wherein, represents a first element, represents a second element.

5. The method of claim 1, wherein, The operation function is a Cartesian product operation function.

6. The method of claim 5, wherein, The expression of the frequency hopping sequence is: ; wherein, ; wherein, f[] represents an operation function of Cartesian product, f[(x, y)] = qx + y, q represents a prime number power, and (x, y) respectively represent , .

7. A wide-spaced frequency hopping communications apparatus for a synchronous networking, characterized by The device comprises: The first sequence construction module is used to select sequences of length from a finite field of size q. The first sequence; where the first sequence is an m-sequence, q is a prime power, and n is any positive integer; The second sequence construction module is configured to select a first positive integer l and a second positive integer e at random, and construct a second sequence with a length of when the first positive integer l satisfies a first relationship and the second positive integer e satisfies a second relationship, according to the first positive integer l, the second positive integer e and the first sequence. a frequency hopping element operation module configured to perform operation on each element in the second sequence by using an operation function to obtain an operation result of each element; a frequency hopping sequence construction module configured to construct a frequency hopping sequence based on the operation result of each element; an encoding module configured to encode the wide-interval frequency hopping communication of the synchronous networking according to the frequency hopping sequence.

8. The wide-spaced frequency hopping communication device of claim 7, wherein, The first relationship includes: a first positive integer l is greater than or equal to 5, and a greatest common divisor between the first positive integer l and is 1. The second relationship comprises: a second positive integer e is greater than or equal to 1 and less than or equal to one-half of the first positive integer l, and the greatest common divisor between the second positive integer e and the first positive integer l is 1.

9. An electronic device, comprising: The device comprises a memory and a processor. The memory is configured to store a computer program comprising program instructions. The processor is configured to execute the program instructions to enable the electronic device to perform the steps of the method for wide-interval frequency hopping communication of synchronous networking according to any one of claims 1 to 6.

10. A computer-readable storage medium, characterized in that, The computer readable storage medium comprises a computer program which, when executed by one or more processors, implements the method for wide-interval frequency hopping communication of synchronous networking according to any one of claims 1 to 6.

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