Fractional OFDM Index Modulation Method Based on Golden Angle Modulation and Related Applications

Abstract

The present invention discloses a fractional OFDM index modulation method based on golden angle modulation and related applications, belonging to the field of wireless communication, including: performing the following steps for each sub-block: (S1) determining a transmission vector through golden angle modulation; (S2) establishing an edge between every two vertices with the transmission vector as the vertex, using PEP as the weight of the edge, and retaining the edges with weights greater than the PEP threshold to obtain a weighted subgraph; (S3) selecting the edge with the largest weight and related vertices in the weighted subgraph to obtain a mapping subgraph; (S4) mapping bit information to the vertices in the mapping subgraph that have not been mapped with bit information to minimize; P and D respectively represent the pairwise error probability matrix and the Hamming distance matrix; (S5) if there are still unmapped vertices, select the vertex with the most adjacent connections to the mapped vertices, update the mapping subgraph, and then transfer to (S4); otherwise, record the mapping relationship in the mapping subgraph. The present invention can improve the spectral efficiency and data reliability of the fractional OFDM system.

Description

Technical Field

[0001] The present invention belongs to the field of wireless communication, and more specifically, relates to a fractional OFDM index modulation method based on golden angle modulation and related applications. Background Art

[0002] With the pursuit of speed and capacity by people, mobile communication technology has experienced the development from the first generation of mobile communication to the fifth generation of mobile communication. On the one hand, the fifth generation of mobile communication increases the transmission information volume by adopting the large-scale multiple-input multiple-output (MIMO) technology by expanding the spatial dimension; on the other hand, it expands the spectrum resource by adopting millimeter-wave communication to increase the communication bandwidth. Now the research on the sixth generation of mobile communication technology has started, and the vision of the next-generation wireless communication is the integration of sky, land and sea to realize the interconnection of all things. In the future, the wireless communication channel environment will be more complex, the number of mobile users will be more massive and differentiated, and the time domain, frequency domain and spatial domain resources are limited. Therefore, it is urgent to develop new communication technologies and expand new dimensions to transmit information. In recent years, a new technology that expands the index dimension to modulate information - index modulation technology - has attracted the attention of many scholars. Specifically speaking, it was first applied to the antenna domain and named spatial modulation, mainly by the activated antenna index to additionally transmit information, and then this concept was widely applied to other fields of wireless communication such as carrier domain index modulation, code domain index modulation, beam domain index modulation, etc. Index modulation can effectively improve the spectral efficiency, save energy resources, reduce energy consumption and radio frequency implementation cost, and is a very promising physical layer transmission technology for future wireless communication.

[0003] Orthogonal frequency division multiplexing with index modulation (OFDM-IM) is an emerging technology. In addition to the traditional M-ary modulation symbols, it also uses the index of the active subcarriers to convey information. Specifically, N subcarriers are evenly divided into G blocks. For each sub-block, the transmitted information is divided into two parts: Bits are used to select K active subcarrier indices from N subcarriers, and the remaining klog2M bits are modulated into k M-ary amplitude and phase modulation (APM) constellation symbols. Compared with the traditional OFDM, the OFDM-IM system achieves higher energy efficiency (EE) and reliability. However, in this mapping process, since the modulation order M may not be a power of 2, some spectrum resources are not fully utilized, that is to say, the OFDM-IM system has a fractional bit problem. However, the traditional constellation space size based on APM must be equal to the power of 2, which cannot provide the flexibility of transmission rate adaptation and cannot effectively solve the fractional bit problem existing in the OFDM-IM system.

[0004] Through index modulation, a set of transmission vectors can be determined, as well as a one-to-one mapping relationship between information bits and transmission vectors. In the actual information transmission process, the corresponding information bits are transmitted by sending and receiving the transmission vectors. Specifically, the transmitter determines the transmission vector corresponding to the information bits according to this mapping relationship and sends the transmission vector to the receiver; after receiving the transmission vector, the receiver determines the information bits that actually need to be sent according to this mapping relationship to complete the information transmission. The result of index modulation directly determines the bit error rate performance of information transmission. In the invention patent CN111917678A, an index modulation mapping method is disclosed. This method uses graph theory knowledge to convert the selected index combinations into vertices in a graph theory model, and assigns weights to the edges corresponding to the vertices according to the number of different elements between bit information, that is, the Hamming distance. By minimizing the total weight of the edges in the graph, after mapping the bit information to the index combination, the Hamming distance between the original index modulation signals is minimized, thereby effectively reducing the bit error rate of the original signal estimator. However, the factors affecting the bit error rate performance of information transmission are relatively complex. Optimizing only from the Hamming distance has limited improvement on the bit error rate performance of information transmission. Summary of the Invention

[0005] In view of the defects and improvement requirements of the prior art, the present invention provides a fractional OFDM index modulation method based on golden angle modulation and related applications, aiming to improve the spectrum utilization rate and data reliability of the fractional OFDM system.

[0006] To achieve the above object, according to one aspect of the present invention, a fractional OFDM index modulation method based on golden angle modulation is provided, including: equally dividing N subcarriers into G sub-blocks, and for each sub-block, performing index modulation according to the following steps:

[0007] (S1) Determine M = 2 γ transmission vectors through golden angle modulation; γ is the transmission rate, and the length of each transmission vector is L = N / G;

[0008] (S2) Use the transmission vectors as vertices, establish an edge between every two vertices, use the pairwise error probability between the two transmission vectors connected by the edge as the weight of the edge, construct a weighted graph, and delete the edges with weights less than the preset PEP threshold to obtain a weighted subgraph;

[0009] (S3) Select the edge with the largest weight in the weighted subgraph and the two vertices it connects to obtain a mapping subgraph;

[0010] (S4) Map bit information for the vertices in the mapping subgraph with unmapped bit information, such that ∑P⊙D is minimized; P and D respectively represent the matrix composed of the pairwise error probabilities of the transmission vector pairs in the mapping subgraph and the matrix composed of the Hamming distances of the mapped bit information, and ⊙ represents dot product;

[0011] (S5) If there are still vertices with unmapped bit information in the weight subgraph, select the vertex with the most adjacent connections to the vertices with mapped bit information from these vertices, add this vertex and the related edges to the mapping subgraph, and transfer to step (S4); otherwise, transfer to step (S6);

[0012] (S6) Record the mapping relationship between the transmission vector and the bit information according to the mapping subgraph, and complete the index modulation of the current sub-block.

[0013] Further, step (S1) includes:

[0014] For the first n1 subcarriers among the L subcarriers in the sub-block, use M1-order modulation, and determine the modulation symbols through golden angle modulation as For the remaining subcarriers, use M2-order modulation, and determine the modulation symbols through golden angle modulation as Thus, the following transmission vector is obtained:

[0015]

[0016] where l = 1, 2, … 2 γ 。

[0017] Further, in step (S5), selecting the vertex with the most adjacent connections to the vertices with mapped bit information from the vertices with unmapped bit information includes:

[0018] Use the vertices with mapped bit information to form a vertex set;

[0019] Obtain the row vectors corresponding to each vertex with unmapped bit information from the pre-established adjacency matrix, calculate the number of common elements between each row vector and the vertex set, and determine the vertex corresponding to the largest number as the vertex with the most adjacent connections to the vertices with mapped bit information;

[0020] where the adjacency matrix is an M×M matrix; each row corresponds to a vertex in the weight subgraph and is used to represent the other vertices adjacent to this vertex.

[0021] According to another aspect of the present invention, there is provided a fractional OFDM index modulation device based on golden angle modulation, including:

[0022] A computer-readable storage medium for storing a computer program;

[0023] And a processor for reading the computer program stored in the computer-readable storage medium and executing the fractional OFDM index modulation method based on golden angle modulation provided by the present invention.

[0024] According to another aspect of the present invention, a sending method is provided, including:

[0025] Determine the transmission vector corresponding to the bit information to be sent according to the mapping relationship between the transmission vector and the bit information, and send the transmission vector to the receiving end, so that after receiving the transmission vector, the receiving end determines the transmitted bit information according to the mapping relationship;

[0026] Wherein, the mapping relationship between the transmission vector and the bit information is established by the fractional OFDM index modulation method based on golden angle modulation provided by the present invention.

[0027] According to another aspect of the present invention, a sending end is provided, including:

[0028] A computer-readable storage medium for storing a computer program;

[0029] And a processor for reading the computer program stored in the computer-readable storage medium and executing the sending method provided by the present invention.

[0030] According to another aspect of the present invention, a receiving method is provided, including:

[0031] After receiving the transmission vector from the sending end, determine the bit information corresponding to the received transmission vector according to the mapping relationship between the transmission vector and the bit information; the transmission vector sent by the sending end is obtained by converting the bit information to be sent by the sending end according to the mapping relationship.

[0032] Wherein, the mapping relationship between the transmission vector and the bit information is established by the fractional OFDM index modulation method based on golden angle modulation provided by the present invention.

[0033] According to another aspect of the present invention, a receiving end is provided, including:

[0034] A computer-readable storage medium for storing a computer program;

[0035] And a processor for reading the computer program stored in the computer-readable storage medium and executing the receiving method provided by the present invention.

[0036] According to another aspect of the present invention, a wireless communication system is provided, including: the sending end provided by the present invention and the receiving end provided by the present invention.

[0037] Generally speaking, through the above technical solutions conceived by the present invention, the following beneficial effects can be achieved:

[0038] (1) In the fractional OFDM system of the present invention, the golden angle modulation is adopted to determine the transmission vector of index modulation. Since the modulation order of the golden angle modulation may not be a power of 2, the present invention can enrich the selection of the number of bits of symbol mapping in the fractional orthogonal frequency division multiplexing system from the directions of the index bit and the modulation bit, provide the flexibility of adapting the transmission rate of the fractional orthogonal frequency division multiplexing system, and effectively improve the spectrum utilization rate of the fractional OFDM system. At the same time, the present invention completes the mapping from the transmission vector to the information bit by means of a graph model. The graph model takes the transmission vector as the vertex and the pairwise error probability (PEP) between the transmission vector pairs as the weight of the corresponding edge. In the mapping process, the sum of the products of the PEP between the transmission vector pairs and the Hamming distance (HD) between the mapped information bits (i.e., ∑P⊙D) is minimized as the mapping criterion. Since ∑P⊙D directly reflects the average bit error probability (ABEP) of the fractional OFDM system, the index modulation mapping scheme finally determined by the present invention can minimize the average bit error probability of the fractional OFDM system and improve the system reliability.

[0039] (2) Before performing bit mapping, the present invention will first delete the edges with lower PEP thresholds in the weight graph. Since the larger the PEP value, the greater the impact of the bit mapping result of the corresponding transmission vector pair on the average bit error probability, the present invention can effectively reduce the computational complexity while ensuring that the finally determined mapping relationship can minimize the average bit error probability.

[0040] (3) The present invention selects the vertex that has the most adjacent connections with the vertices of the mapped bit information among the unmapped bit information as the next vertex for bit mapping, which can ensure that there are more mapped bits to choose from, so that the transmission vector with a larger PEP can map the information bit with a small Hamming distance, and finally minimize the bit error rate. In its preferred embodiment, the vertex that has the most adjacent connections with the vertices of the mapped bit information among the unmapped bit information is determined by means of an adjacency matrix, which can be achieved by comparing the rows in the matrix with the set composed of the vertices of the mapped bits, which is efficient and fast. Description of the Drawings

[0041] Figure 1 It is a flowchart of the fractional OFDM index modulation method based on golden angle modulation provided by an embodiment of the present invention;

[0042] Figure 2 It is a schematic diagram of the weight graph provided by an embodiment of the present invention;

[0043] Figure 3 It is a schematic diagram of the weight sub-graph provided by an embodiment of the present invention. Detailed Embodiment

[0044] In order to make the objectives, technical solutions and advantages of the present invention more clear and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not used to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.

[0045] In the present invention, terms such as "first", "second", etc. (if any) in the present invention and the accompanying drawings are used to distinguish similar objects and do not necessarily need to describe a specific order or sequence.

[0046] Before explaining the technical solution of the present invention in detail, the following terms are briefly introduced as follows:

[0047] OFDM: Orthogonal Frequency Division Multiplexing, that is, orthogonal frequency division multiplexing technology, which is a kind of MCM (Multi Carrier Modulation, multi-carrier modulation). It realizes the parallel transmission of high-speed serial data through frequency division multiplexing, has good anti-multipath fading ability, and can support multi-user access.

[0048] OFDM-IM: Orthogonal frequency division multiplexing with index modulation (IM).

[0049] APM: Amplitude and Phase Modulation, amplitude and phase modulation.

[0050] ABEP: Average Binary Error Probabilities, average bit error probability.

[0051] PEP: Pairwise Error Probability, pairwise error probability.

[0052] HD: Hamming Distance, Hamming distance.

[0053] EE: Energy Efficiency, energy efficiency.

[0054] GAM: Golden Angle Modulation, golden angle modulation.

[0055] Compared with traditional APM, Golden Angle Modulation (GAM) provides a flexible solution to the fractional bit problem because it has a symmetric distribution even when the constellation size is not an integer power of 2. The nth constellation point of GAM is defined as:

[0056]

[0057] where r n is the radius of constellation point n, and N is the total number of constellation points; represents the golden angle in radians, and r n is a complex amplitude and can be expressed as the following formula:

[0058]

[0059]

[0060] where is the average power constraint.

[0061] To solve the technical problems of low spectral efficiency and low reliability of existing fractional OFDM systems, the present invention provides a fractional OFDM index modulation method with golden angle modulation and related applications. The overall idea is as follows: starting from the perspectives of both the index bit and the modulation bit, golden angle modulation is adopted in the fractional OFDM system to determine the transmission vector, and it is no longer required that the modulation order is an integer power of 2, which improves the utilization rate of spectral resources. When establishing the mapping relationship between the transmission vector and the information bits, information bits with a small Hamming distance are selected for the transmission vector pairs with a large pairwise error probability, so that the product cumulative sum of the PEP between the transmission vector pairs and the Hamming distance between the mapped information bits is minimized, thereby effectively reducing the average bit error probability and improving the system reliability.

[0062] The following are embodiments.

[0063] Embodiment 1:

[0064] A fractional OFDM index modulation method based on golden angle modulation includes: equally dividing N subcarriers into G sub-blocks, and for each sub-block, as Figure 1 shown, perform index modulation according to the following steps:

[0065] (S1) Determine M = 2 γ transmission vectors through golden angle modulation; γ is the transmission rate, and the length of each transmission vector is L = N / G;

[0066] In this embodiment, step (S1) specifically includes:

[0067] For the first n1 subcarriers among the L subcarriers in the sub-block, perform M1-order modulation, and determine the modulation symbol through golden angle modulation as For the remaining n2 subcarriers, perform M2-order modulation, and determine the modulation symbol through golden angle modulation as Thus, the following transmission vector is obtained:

[0068]

[0069] Among them, l = 1, 2, … 2 γ ;

[0070] Compared with traditional APM, golden angle modulation (GAM) provides a flexible solution for the fractional bit problem because it has a symmetric distribution even when the constellation size is not an integer power of 2; in this embodiment, golden angle modulation is used in a fractional OFDM system to determine a transmission vector, which is jointly composed of index bit information and modulation bit information. Among them, the index bit information represents which one or which subcarriers in a sub-block are selected to transmit information; the modulation information represents the bit information carried in the symbols transmitted by the selected subcarriers; therefore, this embodiment can start from the directions of the index bit and the modulation bit, enrich the selection of the number of bits of symbol mapping in the fractional orthogonal frequency division multiplexing system, provide the flexibility of adapting the transmission rate of the fractional orthogonal frequency division multiplexing system, and effectively improve the spectrum utilization rate of the fractional OFDM system;

[0071] (S2) Taking the transmission vector as a vertex, establish an edge between every two vertices, use the pairwise error probability between the two transmission vectors connected by the edge as the weight of the edge, construct a weight graph, and delete the edges with weights less than the preset PEP threshold to obtain a weighted subgraph;

[0072] In this embodiment, the constructed weight graph is as Figure 2 shown;

[0073] In this embodiment, golden angle modulation is used to determine the transmission vector. If traversal mapping optimization is adopted, for M transmission vectors, one mapping method needs to be selected from M! mapping methods for transmission. In high-order modulation, the implementation complexity makes this scheme impractical. At the same time, considering that the mapping results of transmission vectors with larger PEP values have a greater impact on the bit error rate, therefore, this embodiment will retain the edges between vector pairs with larger PEP values in the weight graph, and use the obtained weighted subgraph as the basis for bit mapping, which can effectively reduce the computational complexity while ensuring the optimized bit error rate performance; in practical applications, the PEP threshold can be determined according to the actual PEP distribution characteristics between the actual transmission vector pairs, or can be set as an empirical value;

[0074] In this embodiment, after deleting the edges with smaller PEP values in the weight graph, the obtained weighted subgraph is as Figure 3 shown;

[0075] (S3) Select the edge with the largest weight in the weighted subgraph and the two vertices it connects to obtain a mapping subgraph;

[0076] (S4) Map bit information to the vertices in the mapping subgraph that have not been mapped with bit information, such that ∑P⊙D is minimized; P and D respectively represent the matrix composed of the pairwise error probabilities of the transmission vector pairs in the mapping subgraph and the matrix composed of the Hamming distances of the mapped bit information, and ⊙ represents dot product;

[0077] In the mapping process of this embodiment, the minimization of the sum of products (i.e., ∑P⊙D) of the PEP values between transmission vector pairs and the Hamming distances (HD) between the mapped information bits is used as the mapping criterion. Since ∑P⊙D directly reflects the average bit error probability (ABEP) of the fractional OFDM system, therefore, the index modulation mapping scheme finally determined by the present invention can minimize the average bit error probability of the fractional OFDM system and improve the system reliability;

[0078] (S5) If there are still vertices in the weight subgraph that have not been mapped with bit information, then select the vertex with the most adjacent connections to the vertices with mapped bit information from these vertices, add this vertex and the related edges to the mapping subgraph, and transfer to step (S4); otherwise, transfer to step (S6);

[0079] In order to quickly determine the vertex among the vertices to be mapped with bit information that has the most adjacent connections to the vertices with mapped bit information, this embodiment specifically uses the adjacency matrix to determine this vertex, and the specific method is as follows:

[0080] Use the vertices with mapped bit information to form a vertex set;

[0081] Obtain the row vectors corresponding to each vertex with unmapped bit information from the pre-established adjacency matrix, calculate the number of common elements between each row vector and the vertex set, and determine the vertex corresponding to the largest number as the vertex with the most adjacent connections to the vertices with mapped bit information;

[0082] Among them, the adjacency matrix is an M×M matrix; each row corresponds to a vertex in the weight subgraph and is used to represent the other vertices adjacent to this vertex;

[0083] (S6) Record the mapping relationship between the transmission vector and the bit information according to the mapping subgraph, and complete the index modulation of the current sub-block.

[0084] Generally speaking, this embodiment uses golden angle modulation to determine the transmission symbol in the fractional OFDM system, and at the same time uses index modulation to select the transmission subcarriers, jointly constituting the transmission vector, and uses the minimization of the sum of products of the PEP values between the transmission vector pairs and the Hamming distances (HD) between the mapped information bits as the mapping criterion, which can effectively improve the spectrum utilization rate and reliability of the fractional OFDM system.

[0085] Embodiment 2:

[0086] A fractional OFDM index modulation device based on golden angle modulation, comprising:

[0087] A computer-readable storage medium for storing a computer program;

[0088] And a processor for reading the computer program stored in the computer-readable storage medium and executing the fractional OFDM index modulation method based on golden angle modulation provided in the above-mentioned Embodiment 1.

[0089] Embodiment 3:

[0090] A sending method, comprising:

[0091] According to the mapping relationship between the transmission vector and the bit information, determining the transmission vector corresponding to the bit information to be sent, and sending the transmission vector to the receiving end, so that after receiving the transmission vector, the receiving end determines the transmitted bit information according to the mapping relationship;

[0092] Wherein, the mapping relationship between the transmission vector and the bit information is established by the fractional OFDM index modulation method based on golden angle modulation provided in the above-mentioned Embodiment 1.

[0093] Embodiment 4:

[0094] A sending end, comprising:

[0095] A computer-readable storage medium for storing a computer program;

[0096] And a processor for reading the computer program stored in the computer-readable storage medium and executing the sending method provided in the above-mentioned Embodiment 3.

[0097] Embodiment 5:

[0098] A receiving method, comprising:

[0099] After receiving the transmission vector from the sending end, determining the bit information corresponding to the received transmission vector according to the mapping relationship between the transmission vector and the bit information; the transmission vector sent by the sending end is obtained by converting the bit information to be sent by the sending end according to the mapping relationship;

[0100] Wherein, the mapping relationship between the transmission vector and the bit information is established by the fractional OFDM index modulation method provided in Embodiment 1.

[0101] Embodiment 6:

[0102] A receiving end, comprising:

[0103] A computer-readable storage medium for storing a computer program;

[0104] And a processor, configured to read the computer program stored in the computer-readable storage medium and execute the receiving method provided in the above-mentioned Embodiment 5.

[0105] Embodiment 7:

[0106] A wireless communication system, comprising: the sending end provided in the above-mentioned Embodiment 4, and the receiving end provided in the above-mentioned Embodiment 6.

[0107] Those skilled in the art can easily understand that the above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent replacements, and improvements made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

Claims

1. A fractional OFDM index modulation method based on golden angle modulation, characterized in that Including: Dividing N subcarriers equally into G sub - blocks, and for each sub - block, performing index modulation according to the following steps: (S1) Determine M = 2 by golden angle modulation γ transmission vectors; γ is the transmission rate, and the length of each transmission vector is L = N / G; (S2) Taking the transmission vectors as vertices, establishing an edge between every two vertices, using the pairwise error probability between the two transmission vectors connected by the edge as the weight of the edge, constructing a weight graph, and deleting the edges with weights less than a preset PEP threshold to obtain a weighted sub - graph; (S3) Selecting the edge with the largest weight and the two vertices it connects in the weighted sub - graph to obtain a mapping sub - graph; (S4) Mapping bit information to the vertices in the mapping sub - graph that have no mapped bit information, such that ∑P⊙D is minimized; P and D respectively represent the matrix composed of the pairwise error probabilities of the transmission vector pairs in the mapping sub - graph and the matrix composed of the Hamming distances of the mapped bit information, and ⊙ represents dot - product; (S5) If there are still vertices with no mapped bit information in the weighted sub - graph, then select the vertex with the most adjacent connections to the vertices with mapped bit information from these vertices, add this vertex and the related edges to the mapping sub - graph, and transfer to step (S4); otherwise, transfer to step (S6); (S6) Recording the mapping relationship between the transmission vector and the bit information according to the mapping sub - graph to complete the index modulation of the current sub - block.

2. The fractional OFDM index modulation method based on golden angle modulation according to claim 1, wherein The step (S1) includes: For the first n1 sub - carriers among the L sub - carriers within the sub - block, M1 - order modulation is adopted, and the modulation symbols are determined by golden - angle modulation as For the remaining sub - carriers, M2 - order modulation is adopted, and the modulation symbols are determined by golden - angle modulation as Thus, the transmission vector obtained is as follows: Among them, 3. The fractional OFDM index modulation method based on golden angle modulation according to claim 1 or 2, characterized in that, In the step (S5), when selecting the vertex with the most adjacent connections to the vertices with mapped bit information from the vertices with no mapped bit information, it includes: Using the vertices with mapped bit information to form a vertex set; Obtaining the row vectors corresponding to each vertex with no mapped bit information from a pre - established adjacency matrix, calculating the number of common elements between each row vector and the vertex set, and determining the vertex corresponding to the largest number as the vertex with the most adjacent connections to the vertices with mapped bit information; Wherein, the adjacency matrix is an M×M matrix; each row corresponds to a vertex in the weighted sub - graph and is used to represent the other vertices adjacent to this vertex.

4. A fractional OFDM index modulation device based on golden angle modulation, characterized in that, Including: A computer - readable storage medium for storing a computer program; And a processor for reading the computer program stored in the computer - readable storage medium and executing the fractional OFDM index modulation method based on golden - angle modulation according to any one of claims 1 to 3.

5. A sending method, characterized in that, Including: According to the mapping relationship between the transmission vector and the bit information, determining the transmission vector corresponding to the bit information to be sent, and sending this transmission vector to the receiving end, so that after receiving this transmission vector, the receiving end determines the transmitted bit information according to the mapping relationship; Wherein, the mapping relationship between the transmission vector and the bit information is established by the fractional OFDM index modulation method based on golden - angle modulation according to any one of claims 1 to 3.

6. A transmitting end, characterized in that, Including: A computer - readable storage medium for storing a computer program; And a processor for reading the computer program stored in the computer - readable storage medium and executing the sending method according to claim 5.

7. A receiving method, characterized in that, Including: After receiving the transmission vector from the sending end, determine the bit information corresponding to the received transmission vector according to the mapping relationship between the transmission vector and the bit information; the transmission vector sent by the sending end is obtained by the sending end converting the bit information to be sent according to the mapping relationship. Among them, the mapping relationship between the transmission vector and the bit information is established by the fractional OFDM index modulation method based on golden angle modulation described in any one of claims 1 to 3.

8. A receiving end, characterized in that, It includes: A computer-readable storage medium for storing a computer program; And a processor for reading the computer program stored in the computer-readable storage medium and executing the receiving method described in claim 7.

9. A wireless communication system, characterized in that, It includes: The sending end described in claim 6 and the receiving end described in claim 8.

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