CN113206811B - Multi-carrier differential chaotic shift keying demodulation method - Google Patents
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Abstract
The invention discloses a multi-carrier differential chaotic shift keying demodulation method, which comprises the following steps: completing multi-carrier demodulation to obtain 1 path of discrete DCSK reference signal sequence and M-1 path of discrete DCSK information signal sequence; dividing all discrete DCSK information signal sequences into two parts, respectively using the two parts for reference signal statistical average noise reduction estimation and information signal statistical average noise reduction estimation, and calculating a DCSK reference signal sequence after noise reduction and a DCSK information signal sequence after noise reduction; performing correlation operation on the DCSK reference signal sequence subjected to noise reduction and the DCSK information signal sequence subjected to noise reduction to obtain a decision variable; carrying out threshold judgment on the obtained judgment variable to recover M-1 paths of data bits; the M-1 data bits are combined into a 1-way serial demodulated data bit stream. The invention can reduce the noise component in the decision variable and improve the bit error rate performance of the system.
Description
Technical Field
The invention relates to the technical field of communication technology, in particular to a multi-carrier differential chaotic shift keying demodulation method.
Background
More than twenty years ago, researchers began researching basic theory of chaotic communication. Since then, researchers have been working on the practical application of chaos theory, and recently, designing a high-efficiency chaos digital modulation system has become a focus of attention of researchers. The chaotic digital modulation system utilizes the chaotic signal sequence to carry out spectrum spreading and digital modulation on data bits. Chaotic signals are very easy to generate and usually need to be generated by simple and low cost electronic circuits. In addition, the chaotic signal has unpredictability. These characteristics make chaotic digital modulation systems very attractive. The chaotic digital modulation system not only has all the advantages of the traditional spread spectrum system (for example, the chaotic digital modulation system is not easy to detect and has strong anti-interference and anti-multipath fading capabilities), but also has higher safety.
Among the existing chaotic digital modulation systems, a system called Differential Chaotic Shift Keying (DCSK) is considered as the most practical chaotic digital modulation system due to its low complexity, and a chaotic synchronization structure is not required to be adopted at a receiving end of the system. However, in the conventional DCSK scheme, half of the bit time is used to transmit a reference signal carrying no information, which reduces the information transmission rate and causes lower energy efficiency. Furthermore, DCSK is sensitive to noise in the channel. In order to achieve a high information transmission rate, researchers have proposed a system called multi-carrier differential chaotic shift keying (MC-DCSK), which simultaneously transmits 1 reference signal and a plurality of information signals using a plurality of subcarriers. Although MC-DCSK has higher energy efficiency and lower Bit Error Rate (BER) than DCSK, the problem of noise interference in the channel still exists. For example, in the Additive White Gaussian Noise (AWGN) channel, the BER performance of MC-DCSK is lower than that of the coherent Binary Phase Shift Keying (BPSK) scheme. To this end, researchers have proposed a differential chaotic shift keying (NR-DCSK) system that uses a repetitive reference signal for noise reduction by averaging all received replicas to reduce noise interference. Each reference signal may be shared by multiple data signals to further reduce noise interference and improve BER performance. In all existing noise reduction schemes, the repeated signals result in a high degree of similarity between the reference signal and the information signal, which can seriously degrade the security performance of the communication system. The authorization notice number CN 106161310B discloses a multi-carrier differential chaotic shift keying modulation and demodulation method and a modem, and particularly discloses a method for performing multi-carrier differential chaotic bit keying modulation on a signal at a transmitting end, so as to solve the problem of high bit error rate of a system caused by excessive noise component from the transmitting end. At present, no method for solving the problem of high bit error rate of a system caused by overlarge noise components from a receiving end exists.
Disclosure of Invention
The technical problem to be solved by the present invention is to overcome the defects of the prior art, and provide a multi-carrier differential chaotic shift keying demodulation method and a demodulator, so as to solve the problem of high bit error rate of a system caused by excessive noise component in a reference signal information signal in the existing MC-DCSK demodulation method.
In order to achieve the purpose, the invention is realized by the following technical scheme:
the invention relates to a multi-carrier differential chaotic shift keying demodulation method, which comprises the following steps:
step 1: the receiving party receives the multi-carrier differential chaotic shift keying signal with the frequency of f from the antenna 1 ,f 2 ,...,f M Multiplying the M synchronous sub-carriers respectively to obtain M paths of product signals;
step 2: respectively carrying out matched filtering on the M paths of product signals obtained in the step 1 through M paths of filters matched with the wave form of the pulse shaping filter of the sender, and carrying out time domain sampling on the output of the M paths of matched filters to respectively obtain 1 path of discrete DCSK reference signal sequence and M-1 path of discrete DCSK information signal sequence;
and step 3: storing the 1-path discrete DCSK reference signal sequence obtained in the step 2 in a reference signal matrix A = (y) 1 ,...,y β ) In the method, the M-1 path of discrete DCSK information signal sequences obtained in the step 2 are stored in an information signal matrix
Performing the following steps;
and 4, step 4: separately constructing a grouping matrix
And
storing the matrix A obtained in the step 3 in the 1 st row of the matrix C, storing the ith row in the matrix B obtained in the step 3 in the 1 st row of the matrix D, randomly and averagely dividing the rest M-2 rows except the ith row in the matrix B obtained in the step 3 into two parts, and respectively storing the two parts in the 2 nd row to the M/2 nd row of the matrix C and the matrix D;
and 5: calculating correlation values between lines 2 to M/2 and line 1 in the matrix C, finishing statistical average noise reduction estimation of the reference signal according to the correlation values, and calculating to obtain a DCSK reference signal sequence after noise reduction
Wherein, beta is the length of the chaotic sequence;
step 6: calculating correlation values between 2 nd to M/2 th rows and 1 st row in the matrix D, finishing statistical average noise reduction estimation of information signals according to the correlation values, and calculating to obtain an i-th channel DCSK information signal sequence after noise reduction
And 7: performing correlation operation on the noise-reduced DCSK reference signal sequence obtained in the step 5 and the noise-reduced ith path DCSK information signal sequence obtained in the step 6 to obtain an ith path decision variable;
and 8: comparing the ith path judgment variable obtained in the step 7 with a threshold value of '0', and recovering the ith path data bit according to the comparison result;
and step 9: repeating the step 4 to the step 8, and recovering the rest M-2 paths of data bits;
step 10: and combining the data bit of the ith path obtained in the step 8 and the data bit of the M-2 paths obtained in the step 9 into a serial demodulation data bit stream of 1 path.
The invention is further improved in that: the reference signal statistical average noise reduction estimation in the step 5 specifically includes:
wherein, j is the row number of the C matrix, g is the column number of the C matrix, and beta is the length of the chaotic sequence.
The invention is further improved in that: the information signal statistical average noise reduction estimation in step 6 specifically includes:
wherein, j is the row number of the D matrix, and g is the column number of the D matrix.
In the above method, MThe subcarrier simultaneously transmits M-1 paths of DCSK information signals and 1 path of DCSK reference signals; reference signal using frequency f 1 The M-1 path DCSK information signals are respectively transmitted at M-1 frequencies of f 2 ,f 3 ,...,f M Wherein M subcarriers are orthogonal to each other, and 1 DCSK signal is transmitted in every 1 subcarrier.
The invention relates to a multi-carrier differential chaotic shift keying demodulator which comprises 1 DSP chip, wherein the DSP chip stores 1 path of discrete DCSK reference signal sequence and M-1 path of discrete information signal sequence, stores grouping matrixes C and D, calculates and stores a de-noised DCSK reference signal sequence and a de-noised DCSK information signal sequence, and calculates and obtains M-1 path of decision variables.
The invention has the beneficial effects that: orthogonality between all DCSK reference signals and DCSK information signals is guaranteed by orthogonality between different subcarriers. During demodulation, dividing the received M-2 paths of information signals into two parts, respectively carrying out statistical average noise reduction estimation processing on a DCSK reference signal sequence and the DCSK information signals, carrying out correlation operation on the noise-reduced DCSK reference signal sequence and each path of noise-reduced DCSK information signals, and comparing an obtained decision variable with a threshold value of 0 so as to recover data bits. The method can ensure that the noise components of the reference signal and the information signal in the decision variable are greatly reduced, and the bit error performance of the system is obviously improved. Meanwhile, the method can avoid using time delay units in the receiving end and the transmitting end, effectively reduce the noise component in the decision variable of the receiving end, improve the bit error code performance of the system and obtain lower bit error code rate.
Drawings
Fig. 1 is a flow chart of a multi-carrier differential chaotic shift keying demodulation method according to the present invention.
Fig. 2 is a schematic structural diagram of a multi-carrier differential chaotic shift keying demodulator according to the present invention.
Fig. 3 is a graph comparing the error performance of the demodulation method of the present invention and the existing MC-DCSK system in the additive white gaussian noise channel.
Detailed Description
In the following description, for purposes of explanation, numerous implementation details are set forth in order to provide a thorough understanding of the embodiments of the invention. It should be understood, however, that these implementation details are not to be interpreted as limiting the invention. That is, in some embodiments of the invention, such implementation details are not necessary.
The technical scheme of the invention is further explained in detail by combining the drawings as follows:
the invention discloses a multi-carrier differential chaotic shift keying demodulation method which is characterized by comprising the following steps of:
step 1: the receiving party receives the multi-carrier differential chaotic shift keying signal with the frequency of f from the antenna 1 ,f 2 ,...,f M Multiplying the M synchronous sub-carriers respectively to obtain M paths of product signals;
step 2: respectively carrying out matched filtering on the M paths of product signals obtained in the step 1 through M paths of filters matched with the wave form of a pulse forming filter of a sender, and carrying out time domain sampling on the output of the M paths of matched filters to respectively obtain a 1 path of discrete DCSK reference signal sequence and an M-1 path of discrete DCSK information signal sequence;
and 3, step 3: storing the 1-path discrete DCSK reference signal sequence obtained in the step 2 in a reference signal matrix A = (y) 1 ,...,y β ) In the method, the M-1 path of discrete DCSK information signal sequences obtained in the step 2 are stored in an information signal matrix
Performing the following steps;
and 4, step 4: separately constructing a grouping matrix
And
storing the matrix A obtained in the step 3 in the 1 st row of the matrix C, and storing the ith row in the matrix B obtained in the step 3 in the 1 st row of the matrix DRandomly and averagely dividing the rest M-2 rows except the ith row in the matrix B obtained in the step 3 into two parts which are respectively stored in the 2 nd to the M/2 nd rows of the matrix C and the matrix D;
and 5: calculating correlation values between lines 2 to M/2 and line 1 in the matrix C, finishing statistical average noise reduction estimation of the reference signal according to the correlation values, and calculating to obtain a DCSK reference signal sequence after noise reduction
The statistical average noise reduction estimation of the reference signal specifically includes:
wherein j is the row number of the C matrix, g is the column number of the C matrix, and beta is the length of the chaotic sequence; step 6: calculating correlation values between the 2 nd to M/2 th rows and the 1 st row in the matrix D, finishing the statistical average noise reduction estimation of the information signal according to the correlation values, and calculating to obtain the ith channel DCSK information signal sequence after noise reduction
The statistical average noise reduction estimation of the information signal specifically comprises the following steps:
wherein, j is the row number of the matrix D, g is the column number of the matrix D;
and 7: performing correlation operation on the noise-reduced DCSK reference signal sequence obtained in the step 5 and the noise-reduced ith DCSK information signal sequence obtained in the step 6 to obtain an ith decision variable;
and 8: comparing the ith path judgment variable obtained in the step 7 with a threshold value of 0, and recovering the ith path data bit according to a comparison result;
and step 9: repeating the steps 4 to 8, and recovering the rest M-2 paths of data bits;
step 10: and combining the data bit of the ith path obtained in the step 8 and the data bit of the M-2 paths obtained in the step 9 into a serial demodulation data bit stream of 1 path.
For further explanation, the length β of the discrete chaotic signal sequence in 1 symbol period is 128, and the number of information subcarriers M =128. At the receiving side, the signal is received and demodulated, as shown in fig. 2, which specifically includes: step 1: the receiving party receives the multi-carrier differential chaotic shift keying signal with the frequency of f by the antenna 1 ,f 2 ,...,f 128 The 128 synchronous subcarriers are multiplied respectively to obtain 128 paths of product signals;
step 2: respectively carrying out matched filtering on the 128 paths of product signals obtained in the step 1 through 128 paths of filters matched with the wave form of the pulse shaping filter of the sender, and carrying out time domain sampling on the output of the 128 paths of matched filters to respectively obtain 1 path of discrete DCSK reference signal sequence and 127 paths of discrete DCSK information signal sequence;
and step 3: storing the 1-path discrete DCSK reference signal sequence obtained in the step 2 in a reference signal matrix A = (y) 1 ,...,y 128 ) In the method, 127 paths of discrete DCSK information signal sequences obtained in the step 2 are stored in an information signal matrix
Performing the following steps;
and 4, step 4: separately constructing a grouping matrix
And
storing the matrix A obtained in the step 3 in a first row of a matrix C; and storing the 1 st row in the matrix B obtained in the step 3 in the 1 st row of the D. Randomly and averagely dividing the rest 126 rows except the 1 st row in the matrix B obtained in the step 3 into two parts which are respectively stored in the 2 nd to 64 th rows of the matrix C and the matrix D;
and 5: calculating correlation values between the 2 nd to 64 th rows and the 1 st row in the matrix C according toThe correlation value completes the statistical average noise reduction estimation of the reference signal, and the DCSK reference signal sequence after noise reduction is obtained through calculation
Step 6: calculating correlation values between the 2 nd to 64 th rows and the 1 st row in the matrix D, finishing statistical average noise reduction estimation of the information signals according to the correlation values, and calculating to obtain the 1 st path DCSK information signal sequence after noise reduction
And 7: performing correlation operation on the noise-reduced DCSK reference signal sequence obtained in the step 5 and the noise-reduced 1 st path DCSK information signal sequence obtained in the step 6 to obtain a 1 st path decision variable;
and step 8: comparing the 1 st path judgment variable obtained in the step 7 with a threshold value of '0', and recovering a 1 st path data bit according to a comparison result;
and step 9: repeating the steps 4 to 8, and recovering the data bits from the 2 nd path to the 127 th path;
step 10: and combining the data bit of the 1 st path obtained in the step 8 and the data bits of the 2 nd to 127 th paths obtained in the step 9 into a 1-path serial demodulation data bit stream.
The invention adopts computer simulation to carry out transmission test on the multi-carrier differential chaotic shift keying modulation and demodulation method provided by the invention. In the experiment, the number of transmitted data bits was 10 8 The discrete chaotic signal sequence is mapped by a second order chebyshev polynomial
The sampling frequency of the chaotic signal is 1MHz, the symbol duration T =16 mus, the number of equivalent signal sampling points in each symbol time is 16, the roll-off coefficient alpha =0.25 of the square raised cosine roll-off filter, and the central frequency interval of all subcarriers satisfies delta f =1.25MHz.
FIG. 3 is a bit error rate of the method of the present invention simulated in an additive white Gaussian noise channel. In contrast, the bit error rate using the existing MC-DCSK demodulation method is also shown. As can be seen from the figure, compared with the existing MC-DCSK demodulation method, the method greatly reduces the bit error rate and shows better bit error performance.
The embodiments of the present invention have been described in detail with reference to the drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the gist of the present invention.
Claims (3)
1. A multi-carrier differential chaotic shift keying demodulation method is characterized by comprising the following steps:
step 1: the receiving party receives the multi-carrier differential chaotic shift keying signal with the frequency of f from the antenna 1 ,f 2 ,...,f M Multiplying the M synchronous sub-carriers respectively to obtain M paths of product signals;
step 2: respectively carrying out matched filtering on the M paths of product signals obtained in the step 1 through M paths of filters matched with the wave form of a pulse forming filter of a sender, and carrying out time domain sampling on the output of the M paths of matched filters to respectively obtain a 1 path of discrete DCSK reference signal sequence and an M-1 path of discrete DCSK information signal sequence;
and step 3: storing the 1-path discrete DCSK reference signal sequence obtained in the step 2 in a reference signal matrix A = (y) 1 ,…,y β ) In the method, the M-1 path of discrete DCSK information signal sequences obtained in the step 2 are stored in an information signal matrix
Performing the following steps;
and 4, step 4: separately constructing a grouping matrix
And
and combining the matrix obtained in step 3A is stored in the 1 st row of the matrix C, the ith row in the matrix B obtained in the step 3 is stored in the 1 st row of the D, and the rest M-2 rows except the ith row in the matrix B obtained in the step 3 are randomly and averagely divided into two parts which are respectively stored in the 2 nd to the M/2 nd rows of the matrix C and the matrix D;
and 5: calculating correlation values between lines 2 to M/2 and line 1 in the matrix C, finishing statistical average noise reduction estimation of the reference signal according to the correlation values, and calculating to obtain a DCSK reference signal sequence after noise reduction
Wherein, beta is the length of the chaotic sequence;
step 6: calculating correlation values between 2 nd to M/2 th rows and 1 st row in the matrix D, finishing statistical average noise reduction estimation of information signals according to the correlation values, and calculating to obtain an i-th channel DCSK information signal sequence after noise reduction
And 7: performing correlation operation on the noise-reduced DCSK reference signal sequence obtained in the step 5 and the noise-reduced ith path DCSK information signal sequence obtained in the step 6 to obtain an ith path decision variable;
and 8: comparing the ith path judgment variable obtained in the step 7 with a threshold value of '0', and recovering the ith path data bit according to the comparison result;
and step 9: repeating the step 4 to the step 8, and recovering the rest M-2 paths of data bits;
step 10: and combining the data bit of the ith path obtained in the step 8 and the data bit of the M-2 paths obtained in the step 9 into a serial demodulation data bit stream of 1 path.
2. The multi-carrier differential chaotic shift keying demodulation method according to claim 1, characterized in that: the reference signal statistical average noise reduction estimation in the step 5 specifically includes:
wherein, j is the row number of the C matrix, g is the column number of the C matrix, and beta is the length of the chaotic sequence.
3. The multi-carrier differential chaotic shift keying demodulation method according to claim 2, characterized in that: the information signal statistical average noise reduction estimation in step 6 specifically includes:
wherein, j is the row number of the D matrix, and g is the column number of the D matrix.
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