CN110048974B - Half code block inversion diversity method of mixed carrier system - Google Patents
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- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
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Abstract
A half code block inversion diversity method of a mixed carrier system belongs to the technical field of wireless communication. The invention solves the problem that the diversity gain of a receiving end is limited due to the correlation between a time domain signal and a time domain reversal signal in a mixed carrier system. The method comprises the steps of carrying out four-item weighted fractional Fourier transform on a signal to be processed, dividing a code block consisting of a time domain signal and a time domain inversion signal into a front half code block and a rear half code block after the four-item weighted fractional Fourier transform, carrying out inversion combination on the rear half code block to form a new signal, and transmitting the new signal through an antenna; the receiving end carries out inverse transformation according to the inversion method of the transmitting end and then carries out demodulation to obtain a receiving signal; the invention can reduce the correlation of two time domain signals in the code block, reduce the probability of deep attenuation of the same position of the time domain signal and the time domain reversal signal, make two time domain components after weighted fractional Fourier transform approximate to independent attenuation, and achieve the purpose of improving the diversity gain of the receiving end. The invention can be applied to the technical field of wireless communication.
Description
Technical Field
The invention belongs to the technical field of wireless communication, and particularly relates to a half code block inversion diversity method of a mixed carrier system.
Background
The weighted fractional Fourier transform uniformly expresses a single carrier system and a multi-carrier system in a traditional communication system into a mixed carrier system, provides a theoretical basis for fusion of different carrier systems, and has a special property on a time-frequency plane, so that the weighted fractional Fourier transform is widely applied to the aspects of interception resistance and interference resistance of communication signals. In the classical four-term weighted transform (4-WFRFT), the signal is decomposed into a time domain signal, a time domain inverse signal, and a weighted sum of the frequency domain signal and the frequency domain inverse signal, wherein the correlation between the time domain signal and the time domain inverse signal shows a tendency to become gradually stronger from two ends to the middle. Under a mixed carrier system, a time domain signal and a time domain reversal signal are transmitted in a composite mode, if the correlation between the time domain signal and the time domain reversal signal is too high, the probability of deep attenuation at the same position is increased, and the phenomenon enables the diversity gain of a receiving end of the mixed carrier system to be limited.
Disclosure of Invention
The invention aims to solve the problem that the diversity gain of a receiving end is limited due to the correlation between a time domain signal and a time domain reversal signal in a mixed carrier system.
The technical scheme adopted by the invention for solving the technical problems is as follows: a half code block inversion diversity method of a mixed carrier system, the method comprising the steps of:
selecting four characteristic values of fractional Fourier transform according to a generation sequence of the fractional Fourier transform;
for the four-item weighted fractional Fourier transform, the four characteristic values of the four-item weighted fractional Fourier transform are respectively lambda0，λ1，λ2And λ3；
Step two, selecting four characteristic values lambda according to the step one0，λ1，λ2And λ3Calculating forward transform weighting coefficients w for a four-term weighted fractional Fourier transform0,w1,w2And w3；
Step three, modulating data to be transmitted to obtain modulated data; the modulated data is equivalent to a data block with the length of 2N, the data block with the length of 2N is recorded as g (x), and N is a positive integer;
step four, according to the positive transformation weighting coefficient w obtained in the step two0,w1,w2And w3Performing weighted fractional Fourier transform on the data block g (x) in the third step to obtain an additionThe data blocks after the Fourier transform are weighted;
step five, dividing the data block obtained in the step four into two half code blocks with equal length, namely the length of each half code block is N, and recording the two half code blocks as X respectively0And X1；
Will half code block X1Performing inverse transformation to obtain half code block X after inverse transformation1'; mixing X0And X1' combining into a new code block, which is transmitted over the antenna;
step six, the receiver receives the new code block and carries out half code block X in the new code block1Carrying out inverse transformation, recovering the normal sequence of the data blocks after the inverse transformation, and demodulating the data blocks recovered to the normal sequence to obtain a received signal r (x);
step seven, four characteristic values lambda of the fractional Fourier transform selected in the step one0，λ1，λ2And λ3Calculating inverse transform weighting coefficients for a four-weighted fractional Fourier transform
And
step eight, inverse transformation weighting coefficients of the four-item weighting fraction Fourier transform obtained according to the step seven
And
performing weighted fractional Fourier transform on the received signal r (x) in the step six to obtain a signal subjected to weighted fractional Fourier transform;
and step nine, judging the signals obtained in the step eight, and finally obtaining transmission information.
The invention has the beneficial effects that: the invention provides a mixed carrier system half code block inversion diversity method, which comprises the steps of subjecting a signal to be processed to classical four-item weighted fractional Fourier transform, dividing a code block which is obtained by the classical four-item weighted fractional Fourier transform and consists of a time domain signal and a time domain inversion signal into a front half code block and a rear half code block, performing inversion combination on the rear half code block according to an inversion rule to form a new signal, and transmitting the new signal through an antenna; the receiving end carries out inverse transformation according to the inversion method of the transmitting end after receiving the signal, and then carries out demodulation to obtain a received signal; the method can reduce the correlation of two time domain signals in the code block so as to reduce the probability of deep attenuation of the same position of the time domain signal and the time domain reversal signal, further ensure that two time domain components after weighted fractional Fourier transform are similar to independent attenuation, and finally achieve the purpose of improving the diversity gain of the receiving end.
Moreover, the method of the invention can reduce the error rate of the system by about 2 percent.
Drawings
Fig. 1 is a flow chart of a half-code block inversion diversity method of a hybrid carrier system of the present invention;
fig. 2 is a schematic diagram of a half code block inversion process of the present invention;
wherein: x is the number of0Is the first code symbol in block g (x), and so on;
fig. 3 is a simulation diagram of the bit error rate performance gain effect of the generalized mixed carrier transmission method according to the present invention.
Detailed Description
The first embodiment is as follows: the present embodiment will be described with reference to fig. 1, 2, and 3. The half code block inversion diversity method of the mixed carrier system according to the embodiment includes the following steps:
selecting four characteristic values of fractional Fourier transform according to a generation sequence of the fractional Fourier transform;
for the four-item weighted fractional Fourier transform, the four characteristic values of the four-item weighted fractional Fourier transform are respectively lambda0，λ1，λ2And λ3；
Step two, selecting four characteristic values lambda according to the step one0，λ1，λ2And λ3Calculating forward transform weighting coefficients w for a four-term weighted fractional Fourier transform0,w1,w2And w3；
Step three, modulating data to be transmitted to obtain modulated data; the modulated data is equivalent to a data block with the length of 2N, the data block with the length of 2N is recorded as g (x), and N is a positive integer;
step four, according to the positive transformation weighting coefficient w obtained in the step two0,w1,w2And w3Performing weighted score Fourier transform on the data block g (x) in the step three to obtain a data block after weighted score Fourier transform;
step five, dividing the data block obtained in the step four into two half code blocks with equal length, namely the length of each half code block is N, and recording the two half code blocks as X respectively0And X1；
Will half code block X1Performing inverse transformation to obtain half code block X after inverse transformation1'; mixing X0And X1' combining into a new code block, which is transmitted over the antenna;
since the frequency domain signal is symmetrical to the time domain signal, the effect of inverting only the time domain signal is the same as that of inverting the signal after all forward transformations, and the inversion process is shown in fig. 2.
Step six, the receiver receives the new code block and carries out half code block X in the new code block1Carrying out inverse transformation, recovering the normal sequence of the data blocks after the inverse transformation, and demodulating the data blocks recovered to the normal sequence to obtain a received signal r (x);
step seven, four characteristic values lambda of the fractional Fourier transform selected in the step one0，λ1，λ2And λ3Calculating inverse transform weighting coefficients for a four-weighted fractional Fourier transform
And
step eight, inverse transformation weighting coefficients of the four-item weighting fraction Fourier transform obtained according to the step seven
And
performing weighted fractional Fourier transform on the received signal r (x) in the step six to obtain a signal subjected to weighted fractional Fourier transform;
and step nine, judging the signals obtained in the step eight, and finally obtaining transmission information.
The four-weighted fractional fourier transform of the present embodiment belongs to one of the fractional fourier transforms.
According to the method, the time domain composite signal is subjected to half code block inversion and then reconstructed into a new code block for transmission, so that the correlation inside the code block is reduced, the probability of deep attenuation of the same position of the time domain signal and the time domain inversion signal is reduced, the transmission signal is approximate to two independent fading signals, and the purposes of reducing the system error rate and obtaining additional receiving end diversity gain can be achieved.
FIG. 3 shows: the semi-code block inversion method of the invention also has the gain in the aspect of bit error rate for the existing system and is applicable to all systems in the range of fractional Fourier transform.
The second embodiment is as follows: the first difference between the present embodiment and the specific embodiment is: the specific process of the step one is as follows:
selecting four characteristic values of fractional Fourier transform according to a generation sequence of the fractional Fourier transform; for the classical four-weighted fractional Fourier transform, the four eigenvalues λ of the four weighted fractional Fourier transform0，λ1，λ2And λ3Respectively as follows:
wherein: and alpha represents a modulation order.
Characteristic value lambda0，λ1，λ2And λ3Is asymmetrically distributed with 4 as period, i.e. satisfies lambda4r＝λ0And r is a non-negative integer.
The third concrete implementation mode: the second embodiment is different from the first embodiment in that: the specific process of the second step is as follows:
wherein, w0,w1,w2And w3All are forward transform weighting coefficients of four-term weighted fractional Fourier transform, i is an imaginary number unit, and e is a natural constant.
The fourth concrete implementation mode: the third difference between the present embodiment and the specific embodiment is that: the specific process of the step four is as follows:
according to the positive transformation weighting coefficient w obtained in the step two0,w1,w2And w3And (3) performing weighted fractional Fourier transform on the data block g (x) in the third step:
Fα[g(x)]＝w0g(x)+w1G(x)+w2g(-x)+w3G(-x)
in the formula: g (-x) is a time domain inversion signal, G (x) is a frequency domain signal corresponding to G (x), G (-x) is a frequency domain inversion signal corresponding to G (-x), Fα[g(x)]Representing a weighted fractional Fourier transformThe latter data block.
The fifth concrete implementation mode: the fourth difference between this embodiment and the specific embodiment is that: the concrete process of the seventh step is as follows:
wherein the content of the first and second substances,
and
all are inverse transform weighting coefficients of a four-way weighted fractional fourier transform.
The sixth specific implementation mode: the fifth embodiment is different from the fifth embodiment in that: the concrete process of the step eight is as follows:
wherein, R (x) is the received signal, R (x) is the frequency domain signal corresponding to R (x), R (-x) is the time domain reversal signal, R (-x) is the frequency domain reversal signal corresponding to R (-x), F-α[r(x)]Representing the signal after weighted fractional fourier inverse transformation.
The above-described calculation examples of the present invention are merely to explain the calculation model and the calculation flow of the present invention in detail, and are not intended to limit the embodiments of the present invention. It will be apparent to those skilled in the art that other variations and modifications of the present invention can be made based on the above description, and it is not intended to be exhaustive or to limit the invention to the precise form disclosed, and all such modifications and variations are possible and contemplated as falling within the scope of the invention.
Claims (6)
1. A half code block inversion diversity method for a hybrid carrier system, the method comprising:
selecting four characteristic values of fractional Fourier transform according to a generation sequence of the fractional Fourier transform;
for the four-item weighted fractional Fourier transform, the four characteristic values of the four-item weighted fractional Fourier transform are respectively lambda0，λ1，λ2And λ3；
Step two, selecting four characteristic values lambda according to the step one0，λ1，λ2And λ3Calculating forward transform weighting coefficients w for a four-term weighted fractional Fourier transform0,w1,w2And w3；
Step three, modulating data to be transmitted to obtain modulated data; the modulated data is equivalent to a data block with the length of 2N, the data block with the length of 2N is recorded as g (x), and N is a positive integer;
step four, according to the positive transformation weighting coefficient w obtained in the step two0,w1,w2And w3Performing weighted score Fourier transform on the data block g (x) in the step three to obtain a data block after weighted score Fourier transform;
step five, dividing the data block obtained in the step four into two half code blocks with equal length, namely the length of each half code block is N, and recording the two half code blocks as X respectively0And X1；
Will half code block X1Performing inverse transformation to obtain half code block X 'after inverse transformation'1(ii) a Mixing X0And X'1Combined into new code blocks, the new code blocks passing through the antennaSending is carried out;
the to-be-half code block X1Performing an inverse transformation, i.e. half code blocks X1The elements in (1) are arranged in a reverse order;
step six, the receiver receives a new code block and carries out half code block X 'in the new code block'1Carrying out reverse transformation, recovering the normal sequence of the data blocks after the reverse transformation, and demodulating the data blocks recovered to the normal sequence to obtain a received signal r (x);
step seven, four characteristic values lambda of the fractional Fourier transform selected in the step one0，λ1，λ2And λ3Calculating inverse transform weighting coefficients for a four-weighted fractional Fourier transform
And
step eight, inverse transformation weighting coefficients of the four-item weighting fraction Fourier transform obtained according to the step seven
And
performing weighted fractional Fourier transform on the received signal r (x) in the step six to obtain a signal subjected to weighted fractional Fourier transform;
and step nine, judging the signals obtained in the step eight, and finally obtaining transmission information.
2. The method as claimed in claim 1, wherein the specific procedure of the first step is as follows:
selecting four characteristic values of fractional Fourier transform according to a generation sequence of the fractional Fourier transform; for a four-weighted fractional Fourier transform, the four features of the four-weighted fractional Fourier transformValue of lambda0，λ1，λ2And λ3Respectively as follows:
wherein: and alpha represents a modulation order.
3. The half code block inversion diversity method of the hybrid carrier system according to claim 2, wherein the specific procedure of the second step is as follows:
wherein, w0,w1,w2And w3All are forward transform weighting coefficients of four-term weighted fractional Fourier transform, i is an imaginary number unit, and e is a natural constant.
4. The half code block inversion diversity method of the hybrid carrier system according to claim 3, wherein the specific procedure of the step four is as follows:
according to the positive transformation weighting coefficient w obtained in the step two0,w1,w2And w3And (3) performing weighted fractional Fourier transform on the data block g (x) in the third step:
Fα[g(x)]＝w0g(x)+w1G(x)+w2g(-x)+w3G(-x)
in the formula: g (-x) is a time domain inversion signal, G (x) is a frequency domain signal corresponding to G (x), G (-x) is a frequency domain inversion signal corresponding to G (-x), Fα[g(x)]Representing the data block after weighted fractional fourier transform.
5. The half code block inversion diversity method of mixed carrier system according to claim 4, wherein the specific procedure of the seventh step is as follows:
wherein the content of the first and second substances,
and
all are inverse transform weighting coefficients of a four-way weighted fractional fourier transform.
6. The half code block inversion diversity method of mixed carrier system according to claim 5, wherein the specific procedure of the step eight is as follows:
wherein, R (x) is the received signal, R (x) is the frequency domain signal corresponding to R (x), R (-x) is the time domain reversal signal, R (-x) is the frequency domain reversal signal corresponding to R (-x), F-α[r(x)]Representing the signal after weighted fractional fourier inverse transformation.
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