Low-PAPR OFDM navigation signal modulation method based on phase hopping and frequency hopping

Abstract

The invention provides a low PAPR OFDM navigation signal modulation method based on phase hopping and frequency hopping, and the method comprises the steps: determining a phase sequence selection matrix, and changing the subcarrier phase of an OFDM frequency domain signal matrix based on the phase sequence selection matrix to obtain a phase hopping signal matrix which comprises M phase hopping signals; respectively obtaining the balance of the M phase-hopping signals, and obtaining the corresponding phase-hopping signal when the balance is the best; copying M copies of the corresponding phase-hopping signal when the balance is the best to obtain a copied phase-hopping signal matrix; a frequency sequence selection matrix is determined, the sequence of the copied phase-hopping signal matrix is disrupted according to the rule of the frequency sequence selection matrix, and a phase-hopping frequency-hopping signal matrix is obtained, and the phase-hopping frequency-hopping signal matrix comprises M phase-hopping frequency-hopping signals; and respectively acquiring the PAPR values of the M phase-hopping frequency-hopping signals, and taking the corresponding phase-hopping frequency-hopping signal when the PAPR value is the lowest as a modulated phase-hopping frequency-hopping signal.

Description

Technical Field

[0001] The invention relates to the field of satellite navigation technology, and in particular to a low PAPR OFDM navigation signal modulation method based on phase hopping and frequency hopping. Background Art

[0002] Peak to Average Power Ratio (PAPR) is a problem that must be overcome when using Orthogonal Frequency Division Multiplexing (OFDM). When the signal is transmitted, it must pass through a power amplifier (PA) to amplify the signal amplitude to overcome the energy loss during wireless transmission. Under the condition of constant signal envelope, the power amplifier can maintain linear operation while maintaining power efficiency, but OFDM technology will cause the signal to produce peak superposition in the time domain, resulting in a peak power much higher than the average power, which will cause the power amplifier to enter a nonlinear working area, resulting in distortion. Summary of the invention

[0003] The present invention provides a low PAPR OFDM navigation signal modulation method based on phase hopping and frequency hopping, which can solve the technical problem that the peak power of the existing modulation method is higher than the average power, causing the power amplifier to enter a nonlinear working area, thereby generating distortion.

[0004] The present invention provides a low PAPR OFDM navigation signal modulation method based on phase hopping and frequency hopping, the method comprising:

[0005] Determine a phase sequence selection matrix, and change the subcarrier phase of the OFDM frequency domain signal matrix based on the phase sequence selection matrix to obtain a phase hopping signal matrix, wherein the phase hopping signal matrix includes M phase hopping signals;

[0006] The balance of M phase-hopping signals is obtained respectively, and the corresponding phase-hopping signal when the balance is the best is obtained;

[0007] The phase-hopping signal corresponding to the best balance is copied M times to obtain a copied phase-hopping signal matrix;

[0008] Determine a frequency sequence selection matrix, and shuffle the order of the copied phase-hopping signal matrix according to the rule of the frequency sequence selection matrix to obtain a phase-hopping frequency-hopping signal matrix, wherein the phase-hopping frequency-hopping signal matrix includes M phase-hopping frequency-hopping signals;

[0009] The PAPR values ​​of the M phase-hopping frequency-hopping signals are respectively obtained, and the phase-hopping frequency-hopping signal corresponding to the lowest PAPR value is used as the modulated phase-hopping frequency-hopping signal.

[0010] Preferably, the phase sequence selection matrix is ​​a matrix with a dimension of M×N, and the elements in each row vector of the matrix are the random phases of each subcarrier.

[0011] Preferably, the phase-hopping signal matrix is ​​obtained by the following formula:

[0012] C PH =C⊙B

[0013] In the formula, C PH is an M×N phase-hopping signal matrix, C is an M×N OFDM frequency domain signal matrix, B is an M×N frequency sequence selection matrix, M is the number of OFDM symbols, N is the number of subcarriers per OFDM symbol, and ⊙ is the Hadamard product operator symbol.

[0014] Preferably, the balance of the M phase-hopping signals is obtained by the following formula:

[0015]

[0016] In the formula, balance (k) is the balance of the kth phase-hopping signal, k represents the row vector index, k∈[1,M], is the nth element of the kth phase-hopping signal, where n represents the column vector index, n∈[1,N].

[0017] Preferably, the frequency sequence selection matrix is ​​a matrix with a dimension of M×N, and the elements in each row vector of the matrix are random numbers [0, N-1] and are not repeated in each row.

[0018] Preferably, M phase-hopping and frequency-hopping signals are obtained by the following formula:

[0019]

[0020] In the formula, is the nth element of the lth phase-hopping signal in the replicated phase-hopping signal matrix, D (l) is the lth phase-hopping signal in the replicated phase-hopping signal matrix, R (l) [n] is the nth element of the lth row vector of the frequency sequence selection matrix, l is the row vector index, l∈[1,M].

[0021] Preferably, respectively acquiring the PAPR values ​​of the M phase-hopping frequency-hopping signals comprises: respectively acquiring the PAPR values ​​of the M phase-hopping frequency-hopping signals by adopting an inverse Fourier transform method.

[0022] By applying the technical solution of the present invention, the subcarrier phase of the OFDM frequency domain signal matrix is ​​changed through the phase sequence selection matrix; the order of the copied phase-hopping signal matrix is ​​disrupted according to the rule of the frequency sequence selection matrix; the frequency of the subcarrier will jump therein according to the preset jumping rule. The frequency hopping modulation of the OFDM signal actually disrupts the order of the original subcarriers, so that the subcarriers of the OFDM signal are rearranged, and the spectrum efficiency will not be reduced, and the bandwidth overhead will not be increased. It has the ability to reduce the signal PAPR, and while improving the security performance of the OFDM navigation signal, the amount of sideband information required to be transmitted is reduced. BRIEF DESCRIPTION OF THE DRAWINGS

[0023] The included drawings are used to provide a further understanding of the embodiments of the present invention, which constitute a part of the specification, are used to illustrate the embodiments of the present invention, and together with the text description, explain the principles of the present invention. Obviously, the drawings in the following description are only some embodiments of the present invention, and for ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0024] Figure 1 A flow chart of a low PAPR OFDM navigation signal modulation method based on phase hopping and frequency hopping according to an embodiment of the present invention is shown;

[0025] Figure 2 A schematic diagram of frequency hopping modulation provided according to an embodiment of the present invention is shown;

[0026] Figure 3 A phase-hopping and frequency-hopping signal modulation flow chart provided according to an embodiment of the present invention is shown;

[0027] Figure 4 A phase-hopping modulation flow chart provided according to an embodiment of the present invention is shown;

[0028] Figure 5 A balance determination flow chart provided according to an embodiment of the present invention is shown;

[0029] Figure 6 An overall flow chart of phase-hopping modulation provided according to an embodiment of the present invention is shown;

[0030] Figure 7 A frequency hopping modulation flow chart provided according to an embodiment of the present invention is shown;

[0031] Figure 8 A PAPR determination flow chart provided according to an embodiment of the present invention is shown;

[0032] Fig. 9A general flow chart of frequency hopping modulation provided according to an embodiment of the present invention is shown;

[0033] Fig.10 A phase-hopping modulation signal constellation diagram provided according to an embodiment of the present invention is shown;

[0034] Fig.11 A diagram of demodulation gain against non-cooperative parties provided according to an embodiment of the present invention is shown;

[0035] Fig.12 A diagram showing the subcarrier situation before and after frequency hopping according to an embodiment of the present invention is shown. DETAILED DESCRIPTION

[0036] It should be noted that, in the absence of conflict, the embodiments in this application and the features in the embodiments can be combined with each other. The technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. The following description of at least one exemplary embodiment is actually only illustrative and is by no means intended to limit the present invention and its application or use. Based on the embodiments in the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0037] It should be noted that the terms used herein are only for describing specific embodiments and are not intended to limit the exemplary embodiments according to the present application. As used herein, unless the context clearly indicates otherwise, the singular form is also intended to include the plural form. In addition, it should be understood that when the terms "comprise" and / or "include" are used in this specification, it indicates the presence of features, steps, operations, devices, components and / or combinations thereof.

[0038] Unless otherwise specifically stated, the relative arrangement of the parts and steps described in these embodiments, numerical expressions and numerical values ​​do not limit the scope of the present invention. At the same time, it should be understood that, for ease of description, the sizes of the various parts shown in the accompanying drawings are not drawn according to the actual proportional relationship. The technology, method and equipment known to ordinary technicians in the relevant field may not be discussed in detail, but in appropriate cases, the technology, method and equipment should be regarded as a part of the authorization specification. In all examples shown and discussed here, any specific value should be interpreted as being merely exemplary, rather than as a limitation. Therefore, other examples of exemplary embodiments may have different values. It should be noted that similar reference numerals and letters represent similar items in the following drawings, so once a certain item is defined in an accompanying drawing, it does not need to be further discussed in subsequent drawings.

[0039] like Figure 1 As shown, the present invention provides a low PAPR OFDM navigation signal modulation method based on phase hopping and frequency hopping, the method comprising:

[0040] Determine a phase sequence selection matrix, and change the subcarrier phase of the OFDM frequency domain signal matrix based on the phase sequence selection matrix to obtain a phase hopping signal matrix, wherein the phase hopping signal matrix includes M phase hopping signals;

[0041] The balance of M phase-hopping signals is obtained respectively, and the corresponding phase-hopping signal when the balance is the best is obtained;

[0042] The phase-hopping signal corresponding to the best balance is copied M times to obtain a copied phase-hopping signal matrix;

[0043] Determine a frequency sequence selection matrix, and shuffle the order of the copied phase-hopping signal matrix according to the rule of the frequency sequence selection matrix to obtain a phase-hopping frequency-hopping signal matrix, wherein the phase-hopping frequency-hopping signal matrix includes M phase-hopping frequency-hopping signals;

[0044] The PAPR values ​​of the M phase-hopping frequency-hopping signals are respectively obtained, and the phase-hopping frequency-hopping signal corresponding to the lowest PAPR value is used as the modulated phase-hopping frequency-hopping signal.

[0045] The present invention changes the subcarrier phase of the OFDM frequency domain signal matrix through a phase sequence selection matrix; by disrupting the order of the copied phase-hopping signal matrix according to the rule of the frequency sequence selection matrix; according to the preset hopping rule, the frequency of the subcarrier will hop therein, and the frequency hopping modulation of the OFDM signal actually disrupts the order of the original subcarriers, so that the subcarriers of the OFDM signal are rearranged, and the spectrum efficiency will not be reduced, and the bandwidth overhead will not be increased. It has the ability to reduce the signal PAPR, and while improving the security performance of the OFDM navigation signal, the amount of sideband information required to be transmitted is reduced.

[0046] In the transmission process of each OFDM symbol, phase-hopping frequency-hopping modulation changes the phase on each subcarrier. According to the preset hopping rule, the frequency of the subcarrier will jump in it. Frequency-hopping modulation will rearrange the subcarriers of the OFDM frequency domain signal. The schematic diagram of frequency-hopping modulation is shown in Figure 2 shown.

[0047] Phase-hopping frequency-hopping OFDM signals are modulated based on the frequency domain signal of a single OFDM symbol as the basic unit. The generation of phase-hopping frequency-hopping OFDM signals is divided into two steps. The first step is phase-hopping modulation of the OFDM frequency domain signal, and the second step is frequency-hopping modulation to achieve the effect of reducing signal PAPR and improving security. The modulation process is as follows: Figure 3 shown.

[0048] First, the phase-hopping modulation method is introduced. Assume a matrix Β with a dimension of M×N, and use the row vector Β of the matrix to convert the subcarrier random phase vector (k) , where k represents the row vector index, k∈[1,M]. Each OFDM symbol has N subcarriers, so Β (k) The element B in (k) [n] is the random phase of the nth subcarrier, where n represents the column vector index, n∈[1,N]. The matrix B that changes the subcarrier phase in this phase-hopping modulation is named the phase sequence selection matrix.

[0049] Let the OFDM frequency domain signal vector be represented as a matrix C with a dimension of M×N. Phase hopping modulation is essentially the multiplication of the OFDM frequency domain signal with the corresponding elements of the phase sequence selection matrix, that is, let:

[0050] C PH =C⊙B

[0051] In the formula, C PH is an M×N phase-hopping signal matrix, C is an M×N OFDM frequency domain signal matrix, B is an M×N frequency sequence selection matrix, M is the number of OFDM symbols, N is the number of subcarriers per OFDM symbol, and ⊙ is the Hadamard product operator symbol. Figure 4 As shown in the figure, 1, 2...M are the row vector indices of the matrix, indicating that the operation and the result are both represented by row vectors, that is, after the phase-hopping modulation unit, a total of M phase-hopping signals are generated.

[0052] After passing through the phase-hopping modulation unit, the balance of the M generated phase-hopping signals needs to be judged. Balance is a standard for evaluating the properties of pseudo-random sequences. For binary pseudo-random sequences with excellent performance, such as m-sequences, the number of "1" and "0" in one cycle is basically equal. For multi-phase sequences, a very simple method of summing the sequence elements and then calculating the modulus value can be used to judge the balance of the sequence. The smaller the value, the better the balance of the sequence. For example, to evaluate (where k represents the row vector index, k∈[1,M]) balance only requires summing and modulo operations on the vector In the formula, balance (k ) is the balance of the kth phase-hopping signal, k represents the row vector index, k∈[1,M], is the nth element of the kth phase-hopping signal, where n represents the column vector index, n∈[1,N].

[0053] Balance judgment unit Figure 5 As shown, 1, 2...M in the figure are the row vector indices of the matrix. represents the selected phase-jump signal, that is, the phase-jump signal corresponding to the best balance, k bestis the selected phase-hopping signal index, that is, the row vector index corresponding to the best balance in the phase-hopping signal matrix.

[0054] Find the best balanced sequence among M phase-hopping signals by using the balance index Keep the sequence and enter the next module, and record the index k best At this point, the phase-hopping modulation module is completed. The overall process of the phase-hopping modulation module is as follows: Figure 6 shown.

[0055] Through the phase-hopping modulation module, a well-balanced phase-hopping signal with a known phase change is obtained. Next, the signal enters the frequency-hopping modulation module for frequency-hopping modulation processing.

[0056] Suppose a matrix R with dimension M×N, the row vector of the matrix is ​​represented by R (l) , where l represents the row vector index, l∈[1,M]. (l) The elements in are random numbers in the range [0, N-1] and will not be repeated in a row. In this way, the matrix for changing the subcarrier order in frequency hopping modulation is obtained, and the matrix R is named the frequency sequence selection matrix.

[0057] The phase-jump signal output by the phase-jump module After M copies, the signal becomes a matrix D with a dimension of M×N. The row vector of the matrix is ​​represented by D (l) , where l represents the row vector index, l∈[1,M]. Then let D pass through the frequency hopping modulation unit, let D (l) According to R (l) The rules are disrupted in order, and the way to disrupt the order is: in is the nth element of the lth phase-hopping signal in the replicated phase-hopping signal matrix, D (l) is the lth phase-hopping signal in the replicated phase-hopping signal matrix, R (l) [n] is the nth element of the lth row vector of the frequency sequence selection matrix, l is the row vector index, l∈[1,M], n represents the column vector index, n∈[1,N]. The disrupted phase-hopping frequency-hopping signal vector can be expressed as The phase-hopping frequency-hopping signal matrix is ​​C PH-FH .

[0058] Frequency hopping modulation unit such as Figure 7 As shown, 1, 2…M are the row vector indices of the matrix.

[0059] The inverse Fourier transform method is used to calculate M phase-hopping and frequency-hopping signals respectively. The PAPR value of , select the sequence with the lowest PAPR value to be transmitted, and let the sequence be expressed as And record the index lbest At this point, the frequency hopping module ends. The PAPR judgment unit is as follows Figure 8 As shown, This is the final selected phase-hopping frequency-hopping signal. The overall process of the frequency-hopping modulation module is as follows: Fig. 9 shown.

[0060] OFDM signal is a multi-carrier signal with orthogonal subcarriers. Its advantage is that it has high spectrum efficiency, so it is widely used. The frequency hopping processing of OFDM signal in the present invention is different from the traditional frequency hopping. It actually disrupts the order of the original subcarriers, does not reduce the spectrum efficiency, does not increase the bandwidth overhead, and has the ability to reduce the signal PAPR. The modulation method of the present invention has the following beneficial effects:

[0061] 1. It has lower sideband information while reducing PAPR:

[0062] Analyze the amount of sideband information of the phase-hopping frequency-hopping OFDM signal. In the phase-hopping frequency-hopping modulation process, the phase sequence selection matrix B and the frequency selection matrix R are both known to the transmitter, and the index of the optimal phase sequence for balance and the optimal frequency selection sequence for PAPR selected during transmission will be retained. In this way, the index can be sent to the receiver as sideband information.

[0063] 2. While reducing PAPR, it also has certain safety performance:

[0064] In the signal receiving stage, only the legitimate receiver can have the same phase sequence matrix and frequency selection matrix, and find the corresponding phase sequence and frequency selection sequence to de-frequency and de-phase according to the index in the sideband information. Although the illegal receiver can obtain the sideband information, it cannot decipher the modulation matrix used by the transmitter and cannot demodulate the signal normally. And for the phase-hopping frequency-hopping OFDM signal, compared with making complex frequency-hopping rules, the phase-hopping modulation module can easily improve the signal security performance by increasing the number of phase hopping.

[0065] For example, the constellation diagram of the OFDM frequency domain signal mapped using QPSK after eight phase hopping is as follows: Fig.10 As shown, it can be seen that for the frequency domain symbol mapped by QPSK, the Euclidean distance of its adjacent points is Among them A M is the maximum amplitude of the signal. The QPSK signal can actually be regarded as a quaternary phase-hopping signal, or a four-phase phase-hopping signal. 1 It represents the demodulation noise tolerance of the signal. For a multi-level phase-hopping signal, the Euclidean distance between adjacent points is Wherein L represents the phase number of the phase jump.

[0066] Therefore, for the non-cooperative party, demodulating the multi-phase phase-hopping signal requires a higher signal-to-noise ratio than the QPSK signal. The current navigation signals mostly use QPSK mapping, so the baseline mapping method can be set to QPSK mapping, that is, four-phase phase-hopping modulation. Assuming that the non-cooperative receiver can demodulate the baseline signal, the ratio of the signal-to-noise ratio required for the non-cooperative party to demodulate the multi-phase phase-hopping modulation signal to the signal-to-noise ratio required for the four-phase phase-hopping modulation signal can be derived (expressed in dB). This value is called the demodulation gain against non-cooperative parties. Fig.11 Demodulation gain G for non-cooperative parties Multi-PH / Quater-PH The relationship between the jump phase number L.

[0067] from Fig.11 It can be seen that as the phase-hopping number increases, the gain also increases. When the phase-hopping number is 4 to 100, the gain increases fastest, and the subsequent increase rate gradually slows down. Assuming that the sixty-four-digit phase hopping is adopted, the demodulation gain against non-cooperative parties is increased by about 35dB. It can be seen that the increase in the phase-hopping modulation number can significantly improve the safety performance of the signal.

[0068] Phase-hopping modulation can improve the safety performance of the signal by simply increasing the number of phase-hopping steps, but as the number of phase-hopping steps increases, the generation and transmission of the signal will also bring a greater load. Compared with phase-hopping modulation, frequency-hopping modulation can also improve the safety performance of the signal.

[0069] The frequency selection sequence in OFDM frequency hopping modulation is a frequency hopping rule formulated by the transmitter. Even if the sequence is generated by a random number generator, it can be regarded as an encryption of the signal. Fig.12 This is a schematic diagram of the subcarrier situation before and after OFDM frequency hopping. After frequency hopping, the frequency position of the subcarrier that originally carried information has changed.

[0070] Therefore, setting certain OFDM frequency hopping rules can also improve the security performance of the signal. Although frequency hopping modulation changes the signal in the frequency domain, it can also be regarded as encryption at the information level. Even if the non-cooperative party successfully demodulates the phase hopping sequence, it still has to face the signal that has been encrypted using the OFDM frequency hopping modulation module.

[0071] Therefore, both modules play a role in improving signal safety performance.

[0072] In summary, the present invention provides a low PAPR OFDM navigation signal modulation method based on phase hopping and frequency hopping, which changes the subcarrier phase of the OFDM frequency domain signal matrix through a phase sequence selection matrix; shuffles the order of the copied phase hopping signal matrix according to the rule of the frequency sequence selection matrix; and according to a preset hopping rule, the frequency of the subcarrier will hop therein. The frequency hopping modulation of the OFDM signal essentially disrupts the order of the original subcarriers, rearranges the subcarriers of the OFDM signal, does not reduce the spectrum efficiency, and does not increase the bandwidth overhead, and has the ability to reduce the signal PAPR. While improving the security performance of the OFDM navigation signal, it reduces the amount of sideband information required to be transmitted.

[0073] For ease of description, spatially relative terms such as "above", "above", "on the upper surface of", "above", etc. may be used here to describe the spatial positional relationship between a device or feature and other devices or features as shown in the figure. It should be understood that spatially relative terms are intended to include different orientations of the device in use or operation in addition to the orientation described in the figure. For example, if the device in the accompanying drawings is inverted, the device described as "above other devices or structures" or "above other devices or structures" will be positioned as "below other devices or structures" or "below other devices or structures". Thus, the exemplary term "above" can include both "above" and "below". The device can also be positioned in other different ways (rotated 90 degrees or in other orientations), and the spatially relative descriptions used here are interpreted accordingly.

[0074] In addition, it should be noted that the use of terms such as "first" and "second" to limit components is only for the convenience of distinguishing the corresponding components. If not otherwise stated, the above terms have no special meaning and therefore cannot be understood as limiting the scope of protection of the present invention.

[0075] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

Claims

1. A low PAPR OFDM navigation signal modulation method based on phase-hopping and frequency-hopping, characterized in that: The method comprises: Determine a phase sequence selection matrix, and change the subcarrier phase of the OFDM frequency domain signal matrix based on the phase sequence selection matrix to obtain a phase hopping signal matrix, wherein the phase hopping signal matrix includes M phase hopping signals; The balance of M phase-hopping signals is obtained respectively, and the corresponding phase-hopping signal when the balance is the best is obtained; The phase-hopping signal corresponding to the best balance is copied M times to obtain a copied phase-hopping signal matrix; Determine a frequency sequence selection matrix, and shuffle the order of the copied phase-hopping signal matrix according to the rule of the frequency sequence selection matrix to obtain a phase-hopping frequency-hopping signal matrix, wherein the phase-hopping frequency-hopping signal matrix includes M phase-hopping frequency-hopping signals; The PAPR values ​​of the M phase-hopping frequency-hopping signals are respectively obtained, and the phase-hopping frequency-hopping signal corresponding to the lowest PAPR value is used as the modulated phase-hopping frequency-hopping signal.

2. The method according to claim 1, characterized in that The phase sequence selection matrix is ​​a matrix with a dimension of M×N, and the element in each row vector of the matrix is ​​a random phase of each subcarrier.

3. The method according to claim 1, characterized in that The phase-hopping signal matrix is ​​obtained by the following formula: C PH =C⊙B In the formula, C PH is an M×N phase-hopping signal matrix, C is an M×N OFDM frequency domain signal matrix, B is an M×N frequency sequence selection matrix, M is the number of OFDM symbols, N is the number of subcarriers per OFDM symbol, and ⊙ is the Hadamard product operator symbol.

4. The method according to claim 1, characterized in that: The balance of M phase-hopping signals is obtained by the following formula: In the formula, balance (k) is the balance of the kth phase-hopping signal, k represents the row vector index, k∈[1,M], is the nth element of the kth phase-hopping signal, where n represents the column vector index, n∈[1,N].

5. The method according to claim 1, characterized in that The frequency sequence selection matrix is ​​a matrix with a dimension of M×N. The elements in each row vector of the matrix are random numbers [0, N-1] and are not repeated in each row.

6. The method according to claim 1, characterized in that M phase-hopping and frequency-hopping signals are obtained by the following formula: In the formula, is the nth element of the lth phase-hopping signal in the replicated phase-hopping signal matrix, D (l) is the lth phase-hopping signal in the replicated phase-hopping signal matrix, R (l) [n] is the nth element of the lth row vector of the frequency sequence selection matrix, l is the row vector index, l∈[1,M].

7. The method according to claim 1, characterized in that Respectively obtaining the PAPR values ​​of the M phase-hopping frequency-hopping signals includes: respectively obtaining the PAPR values ​​of the M phase-hopping frequency-hopping signals by adopting an inverse Fourier transform method.

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