CN115688598A - Method and system for solving offset frequency strategy by Seed pre-generation genetic algorithm - Google Patents
Method and system for solving offset frequency strategy by Seed pre-generation genetic algorithm Download PDFInfo
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Abstract
The invention provides a method for solving an offset frequency strategy by a Seed pre-generation genetic algorithm, which is used for solving the offset frequency strategy in a space-based gravitational wave detector; the space-based gravitational wave detector comprises three satellites; each satellite comprises two laser interference optical platforms; the method comprises the following steps: establishing a feasible phase-locking scheme switching sequence; setting an initial beat frequency upper limit according to experience; solving the offset frequency solved under the phase-locked scheme switching sequence by adopting a Seed pre-generation genetic algorithm, wherein the offset frequency can not reach the set solving termination time, so that the minimum beat frequency upper limit and a corresponding offset frequency strategy which can be supported under the phase-locked scheme switching sequence are obtained; the offset frequency strategy comprises the offset frequency between two optical platforms in each satellite and the offset frequency between two adjacent optical platforms between two adjacent satellites. The invention has the advantages that: unnecessary operation is avoided, and the defect of low solving efficiency of the traditional genetic algorithm is overcome.
Description
Technical Field
The invention belongs to the technical field of computers, and particularly relates to a method and a system for solving an offset frequency strategy by a Seed pre-generation genetic algorithm.
Background
In recent years, space-based gravitational wave detection has become a hot issue in the physics community. In the sky-based gravitational wave detection task with the ultra-long arm length, due to the existence of the inter-satellite Doppler frequency shift, a beat frequency signal for measuring a gravitational wave signal fluctuates in a certain range. Due to the limitation of the bandwidth of the phase meter, the uncontrolled beat frequency exceeds the detection bandwidth of the phase meter, thereby causing the interruption of the scientific detection signal. In order to make the beat frequency fall within a reasonable measurement range, a method of adding an artificial offset frequency in a weak light phase-locked loop is generally adopted, so that the beat frequency can be detected by a phase meter. In addition, because heterodyne interference is adopted to measure the beat frequency signal, the homodyne interference phenomenon needs to be avoided. In addition, interference of low-frequency laser relative intensity noise on the beat frequency signal needs to be avoided. Therefore, the lower limit of the beat frequency also needs to be limited. The selection of the phase-locking scheme affects the setting of the artificial offset frequency and affects the duration of the offset frequency. At present, the space-based gravitational wave detection tasks include an LISA plan, a Taiji plan, a celestial organ plan and the like. In the tai chi project, 5MHz is currently used as the lower limit of the beat frequency, but in practice the lowest beat frequency lower limit may reach 3MHz. The upper limit of the beat frequency is usually set to 25MHz, but in practice, although it is already possible to manufacture a high-bandwidth phase meter, the increase of the bandwidth of the phase meter inevitably brings about a larger readout noise, and therefore, it is necessary to lower the upper limit of the beat frequency of the phase meter from the viewpoint of reducing the noise and improving the accuracy. On the other hand, a beat frequency upper limit that is too low will often result in the offset frequency needing to be changed frequently in the mission and thus in interruption of scientific observations. Therefore, a reasonable phase locking scheme is set in each stage of the task, and on the basis, the upper limit of the beat frequency is reasonably planned to balance the two optimization goals of reducing noise and minimizing the change times of the offset frequency.
Since the space-based gravitational wave detector is generally composed of a plurality of satellites, there are the following problems: 1. the method comprises the steps of 1, making a selectable phase-locking scheme, 2, selecting an optimal phase-locking scheme in each stage, 3, setting the upper limit of the lowest beat frequency and the offset frequency in each weak light phase-locking loop based on the selected phase-locking scheme, or called as an offset frequency strategy, and 4, adopting which algorithm to efficiently solve the corresponding offset frequency strategy. Both the phase-locking scheme and the offset frequency are replaced, which results in an interruption of the scientific probe signal, so that the phase-locking scheme and the offset frequency should be as constant as possible or at least meet the minimum duration of the actual operating conditions. In addition, since a higher upper beat frequency limit results in greater phase readout noise, it is necessary to find the lowest upper beat frequency limit satisfying the lowest offset frequency duration by solving.
Disclosure of Invention
The invention aims to overcome the defects that the calculation efficiency is not high when the upper limit of the minimum beat frequency and the offset frequency in each weak optical phase-locked loop are set in the prior art.
In order to achieve the purpose, the invention provides a method for solving an offset frequency strategy by using a Seed pre-generation genetic algorithm, which is used for solving the offset frequency strategy in a space-based gravitational wave detector; the space-based gravitational wave detector comprises three satellites, and the three satellites are placed in an equilateral triangle; each satellite comprises two laser interference optical platforms;
the method comprises the following steps:
step 1: establishing a phase-locking scheme switching sequence;
step 2: setting an initial beat frequency upper limit;
and step 3: according to the phase-locked scheme switching sequence, according to a set target function, circularly solving offset frequency planning results meeting different moments under dynamic constraint conditions in all time slices by adopting a Seed pre-generated genetic algorithm; repeating the step for multiple times, and calculating to obtain the lowest beat frequency upper limit and the corresponding offset frequency strategy which can be supported under the phase-locking scheme switching sequence;
the offset frequency strategy comprises the offset frequency between two optical platforms in each satellite and the offset frequency between two adjacent optical platforms between two adjacent satellites.
As an improvement of the above method, the step 1 specifically includes:
the phase-locking scheme switching sequence comprises 3 phase-locking sequences and 6 phase-locking main optical platforms, and 18 phase-locking schemes are formed in total;
setting 3 satellites as a satellite 1, a satellite 2 and a satellite 3 respectively; the six optical platforms A, B, C, D, E and F are placed anticlockwise;
the three phase-locked sequences are respectively marked as Seq1, seq2 and Seq3;
the first phase-locked sequence Seq1 is to select one optical platform as a master optical platform, and the other 5 optical platforms are slave optical platforms; in the phase locking process, 2 slave optical platforms are arranged on one side of a main optical platform, and the other 3 optical platforms are arranged on the other side of the main optical platform; the laser frequency of the main optical platform is kept constant, and the lasers of the auxiliary optical platforms on the two sides of the main optical platform are sequentially phase-locked to the received lasers emitted by the adjacent optical platforms from near to far;
the second phase-locked sequence Seq2 is to select one optical platform as a master optical platform, and the other 5 optical platforms are slave optical platforms; in the phase locking process, 1 secondary optical platform is arranged on one side of the primary optical platform, and the other 4 optical platforms are arranged on the other side of the primary optical platform; the laser frequency of the main optical platform is kept constant, and the two sides of the main optical platform are sequentially phase-locked to the received laser emitted by the adjacent optical platform from near to far;
the third phase-locked sequence Seq3 is to select one optical platform as a master optical platform, and the other 5 optical platforms are slave optical platforms; in the phase locking process, 0 slave optical platforms are arranged on one side of the master optical platform, and the other 5 optical platforms are arranged on the other side of the master optical platform; the laser frequency of the main optical platform keeps constant, and one side of the main optical platform is sequentially phase-locked to the received laser emitted by the adjacent optical platform from near to far from the laser of the optical platform;
the 18 phase-locking schemes are < Seq1, < primary optical platform a >, < Seq1, < primary optical platform B >, < Seq1, < primary optical platform C >, < Seq1, < primary optical platform D >, < Seq1, < primary optical platform E >, < Seq1, < primary optical platform F >, < Seq2, < primary optical platform a >, < Seq2, < primary optical platform B >, < Seq2, < primary optical platform C >, < Seq2, < primary optical platform D >, < Seq2, < primary optical platform E >, < Seq2, < primary optical platform F >, < Seq3, primary optical platform a >, < Seq3, < primary optical platform B >, < Seq3, primary optical platform C >, < q3, < primary optical platform D >, < 3, < primary optical platform E >, < Seq3, primary optical platform F.
As an improvement of the method, a satellite where the main optical platform is located is set as a satellite 1, and the other two satellites are respectively a satellite 2 and a satellite 3; wherein the satellite adjacent to one side of the main optical platform is a satellite 3, and the other satellite is a satellite 2;
the beat frequency of the phase-locked sequence Seq1 is calculated as follows:
wherein t represents time;
respectively representing the calculation of 4 beat signals varying with time,
5 beat frequency signal calculation modes which do not change along with time are shown; MOB represents the selected primary optical platform; Δ f (1,2) Represents the offset frequency between the optical platforms adjacent satellite 1 and satellite 2; Δ f (1,3) To representOffset frequency between optical platforms adjacent to satellite 1 and satellite 3; Δ f (3,3) Represents the offset frequency between the two optical platforms inside the satellite 3; Δ f (1,1) Represents the offset frequency between two optical platforms inside the satellite 1; Δ f (2,2) Represents the offset frequency between the two optical platforms inside the satellite 2; f. of d1 (t) represents the doppler shift between satellite 1 and satellite 2 over time; f. of d2 (t) represents the doppler shift between satellite 3 and satellite 2 over time; f. of d3 (t) represents the doppler shift between satellite 1 and satellite 3 over time.
The beat frequency of the phase-locked sequence Seq2 is calculated as follows:
wherein, Δ f (2,3) Represents the offset frequency between the satellite 2 and the optical platform adjacent to the satellite 3;
the beat frequency of the phase-locked sequence Seq3 is calculated as follows:
as an improvement of the above method, the initial upper beat frequency limit f upper Set to 25MHz.
As an improvement of the above method, the step 3 specifically includes:
step 3-1: setting a time slice starting time Start =1 and an ending time End = Start;
step 3-2: selecting a phase-locked main optical platform at the current stage according to the phase-locked scheme switching sequence adopted in the step 1;
step 3-3: selecting a phase locking sequence of the current stage according to the phase locking scheme switching sequence adopted in the step 1;
step 3-4: constructing a dynamic constraint condition for Seed generation according to the current Start time and End time;
step 3-5: solving the current offset frequency planning scheme by adopting a linear programming algorithm;
3-6: judging whether a feasible solution can be obtained or not, if so, turning to the step 3-7; otherwise, turning to the step 3-10;
step 3-7: saving the current Start time, end time and offset frequency solving Result to the End row of the matrix Result;
step 3-8: judging whether the current End time End is the End time EOF or not, and if so, turning to the step 3-9; if not, turning to the step 3-17;
step 3-9: saving the planning result of the current offset frequency and setting the upper limit f of the beat frequency upper Decreasing by 1 unit, and turning to step 3-1;
step 3-10: setting the End time End to be reduced by 1 unit;
step 3-11: setting an initial Seed of a genetic algorithm as each offset frequency solving Result in the End row of a Result matrix;
step 3-12: constructing a dynamic constraint condition for the genetic algorithm according to the starting time Start and the ending time End;
step 3-13: solving by adopting a genetic algorithm according to a set objective function;
step 3-14: judging whether a feasible solution exists, and if so, turning to the step 3-15; otherwise, go to step 3-18;
step 3-15: saving the current Start time, end time and offset frequency solving Result in a matrix Result;
step 3-16: judging whether the current End time End is the End time EOF or not, and if so, turning to the step 3-9; otherwise, turning to the step 3-19;
3-17, setting the ending time End to be increased by 1 unit, and turning to the step 3-4;
step 3-18: judging whether the Start time Start and the End time End are equal, if so, turning to the step 3-21; otherwise, turning to the step 3-20;
step 3-19: setting an End time End to be increased by 1 unit, and turning to the step 3-12;
step 3-20: setting a Start time Start = End, and setting an End time End = Start; turning to step 3-2;
step 3-21: and sorting all results, including the phase-locking scheme adopted in each time slice and the corresponding offset frequency planning result, to obtain the lowest beat frequency upper limit and the corresponding offset frequency strategy which can be supported under the condition of setting the switching sequence of the phase-locking scheme.
As an improvement of the above method, the step 3-4 specifically includes:
the dynamic constraints for Seed generation specifically include:
wherein LB and UB represent the lower and upper beat frequency limits, respectively;
(Start, end) represents the number of all beat frequencies 1 from t = Start to t = End;
(Start, end) represents the number of all beat frequencies 2 from t = Start to t = End;
(Start, end) represents all the beat frequencies 3 from t = Start to t = End;
(Start, end) represents all beat frequency 4 values from t = Start to t = End;
(Start, end) represents all the beat frequencies 5 from t = Start to t = End;
(Start, end) represents the value of all beat frequencies 6 from t = Start to t = End;
(Start, end) represents the value of all beat frequencies 7 from t = Start to t = End;
(Start, end) represents the value of all beat frequencies 8 from t = Start to t = End;
(Start, end) represents the value of all beat frequencies 9 from t = Start to t = End.
As a modification of the above method, the steps 3 to 12 specifically include:
the dynamic constraints for genetic algorithms include in particular:
wherein LB and UB represent the lower and upper beat frequency limits, respectively;
represents the absolute value of all beat frequencies 1 from t = Start to t = End;
represents the absolute value of all beat frequencies 2 from t = Start to t = End;
represents the absolute value of all beat frequencies 3 from t = Start to t = End;
represents the absolute value of all beat frequencies 4 from t = Start to t = End;
represents the absolute value of all beat frequencies 5 from t = Start to t = End;
represents the absolute value of all beat frequencies 6 from t = Start to t = End;
represents the absolute value of all beat frequencies 7 from t = Start to t = End;
represents the absolute value of all beat frequencies 8 from t = Start to t = End;
the absolute value of all beat frequencies 9 from t = Start to t = End is indicated.
As an improvement of the above method, the objective function is:
Max T
where T denotes the duration of the offset frequency, T = End-Start.
As a modification of the above method, the end time EOF is set to 1825 days.
The invention also provides a system for solving the offset frequency strategy by the genetic algorithm, which comprises the following components:
the phase-locking scheme switching sequence module is used for making a feasible phase-locking scheme switching sequence;
the initial beat frequency upper limit setting module is used for setting an initial beat frequency upper limit according to experience;
the calculation offset frequency measurement module is used for switching sequences according to a phase-locked scheme, and circularly solving offset frequency planning results meeting different moments under dynamic constraint conditions in all time slices by adopting a Seed pre-generation genetic algorithm according to a set target function; repeating the step for multiple times, and calculating to obtain the lowest beat frequency upper limit and the corresponding offset frequency strategy which can be supported under the phase-locking scheme switching sequence;
the offset frequency strategy comprises the offset frequency between two optical platforms in each satellite and the offset frequency between two adjacent optical platforms between two adjacent satellites.
Compared with the prior art, the invention has the advantages that:
1. the solution space is too large due to the excessive number of alternative phase-locking schemes. The existing algorithm is adopted, and the solving efficiency is low. By adopting the Seed pre-generation method, the solving time can be reduced to a certain extent, the solving efficiency is improved, unnecessary operation is avoided, and the defect of low solving efficiency of the traditional genetic algorithm is avoided.
2. The invention constructs all possible phase-locking sequences and a phase-locking main optical platform, has high completeness, can obtain all feasible optimization results through algorithm solution, and provides a comprehensive phase-locking scheme strategy and an offset frequency strategy for related researchers.
3. And dynamic constraint conditions are adopted, so that the solving efficiency in the early stage in the solving process is ensured.
Drawings
FIG. 1 is a flowchart illustrating a method for solving an offset frequency strategy based on a Seed pre-generated genetic algorithm according to the present invention;
FIG. 2 is a schematic diagram of three different phase-locked sequences according to the present invention; wherein, fig. 2 (a) is a phase-locked sequence Seq1, fig. 2 (b) is a phase-locked sequence Seq2, and fig. 2 (c) is a phase-locked sequence Seq3;
fig. 3 is a schematic diagram of 6 different phase-locked main optical platforms according to the present invention, wherein a phase-locked sequence Seq3 is adopted in the schematic diagram, where fig. 3 (a) adopts a phase-locked main optical platform, fig. 3 (B) adopts a phase-locked main optical platform, fig. 3 (C) adopts a phase-locked main optical platform, fig. 3 (D) adopts a phase-locked main optical platform, fig. 3 (E) adopts a phase-locked main optical platform, and fig. 3 (F) adopts a phase-locked main optical platform;
FIG. 4 illustrates 1825-day inter-satellite Doppler shift data as used by the present invention; wherein, fig. 4 (a) shows the inter-satellite doppler shift between the satellite 1 and the satellite 2 when the optical platform a is selected as the main optical platform; fig. 4 (b) shows inter-satellite doppler shift between satellite 2 and satellite 3 when optical platform a is selected as the primary optical platform; fig. 4 (c) shows the inter-satellite doppler shift between satellite 1 and satellite 3 when the a optical bench is selected as the primary optical bench.
Detailed Description
The technical solution of the present invention will be described in detail below with reference to the accompanying drawings.
The invention provides a method and a system for solving an offset frequency strategy by a Seed pre-generation genetic algorithm, which are used for solving the offset frequency strategy in a space-based gravitational wave detector.
The space-based gravitational wave detector usually includes three satellites, and the three satellites are placed in an equilateral triangle. The distance between satellites can reach several million kilometers. Each satellite comprises two laser interference optical platforms.
Each of the three satellites includes two laser interference optical platforms, which are numbered as satellite 1, satellite 2, and satellite 3. Satellite 1 includes laser interference optical platforms a and B, satellite 2 includes laser interference optical platforms C and D, and satellite 3 includes laser interference optical platforms E and F.
The laser interference optical platform is used for transmitting and receiving laser to an adjacent optical platform in the same satellite and simultaneously transmitting and receiving laser to a far-end optical platform in another satellite adjacent to the satellite.
The invention discloses a method for solving an offset frequency strategy by a Seed pre-generation genetic algorithm, which comprises the following steps:
and a feasible phase-locking scheme switching sequence is established in advance, namely, the adopted phase-locking sequence and the phase-locking main optical platform are used in each time slice of task operation. And after the time slices are switched, switching the phase locking sequence and the phase locking main optical platform according to the sequence.
The time slice refers to a time slice from the beginning time to the end time of one setting of the offset frequency during the task running process.
And setting an initial beat frequency upper limit according to experience.
According to the starting time of a certain time slice and the selected phase locking scheme, according to a set objective function (the objective function comprises the duration of the maximum offset frequency and the change times of the minimum offset frequency), a Seed pre-generation genetic algorithm is adopted to solve the planning result of the offset frequency at different moments within the time slice under the condition of meeting the dynamic constraint condition, and the ending time of the time slice and the starting time of the next time slice are obtained until the certain time can not meet the dynamic constraint condition by adjusting the offset frequency. According to a phase-locking scheme sequence established in advance, selecting a phase-locking scheme of the next time slice in the sequence, and repeating the step to obtain the offset frequency planning results of different time slices; if the set solving termination time can be reached, outputting the offset frequency planning results of different time slices, reducing the initial beat frequency upper limit, and repeating the steps; and until the set beat frequency upper limit makes the offset frequency solved under the phase-locked scheme switching sequence unable to reach the set solving termination time, thereby obtaining the lowest beat frequency upper limit and the corresponding offset frequency strategy which can be supported under the phase-locked scheme switching sequence.
The objective function is:
Max T
where T denotes the duration of the offset frequency, T = End-Start.
As shown in fig. 1, the process of solving the offset frequency policy specifically includes:
step 1) generating all possible phase-locking scheme switching sequences;
the switching sequence of the phase-locking scheme comprises 3 phase-locking sequences and 6 phase-locking main optical platforms, and the phase-locking scheme comprises 18 types.
The three phase-locked sequences are respectively marked as Seq1, seq2 and Seq3; the six optical platforms A, B, C, D, E and F are placed anticlockwise.
The first phase-locked sequence Seq1 is to select one optical platform as a master optical platform, and the other 5 optical platforms are slave optical platforms; in the phase locking process, 2 slave optical platforms are arranged on one side of a main optical platform, and the other 3 optical platforms are arranged on the other side of the main optical platform; the laser frequency of the main optical platform keeps constant, and the two sides of the main optical platform are sequentially phase-locked to the received laser emitted by the adjacent optical platform from near to far.
The second phase-locked sequence Seq2 is to select one optical platform as a master optical platform, and the other 5 optical platforms are slave optical platforms; in the phase locking process, 1 secondary optical platform is arranged on one side of the primary optical platform, and the other 4 optical platforms are arranged on the other side of the primary optical platform; the laser frequency of the main optical platform keeps constant, and the two sides of the main optical platform are sequentially phase-locked to the received laser emitted by the adjacent optical platform from near to far.
The third phase-locked sequence Seq3 is to select one optical platform as a master optical platform, and the other 5 optical platforms are slave optical platforms; in the phase locking process, 0 secondary optical platforms are arranged on one side of the primary optical platform, and the other 5 optical platforms are arranged on the other side of the primary optical platform; the laser frequency of the main optical platform keeps constant, and one side of the main optical platform is phase-locked to the received laser emitted by the adjacent optical platform from near to far.
The 18 phase-locking schemes are generated for the primary optical platform using six optical platforms a, B, C, D, E, F, respectively, < Seq1, < primary optical platform a >, < Seq1, primary optical platform B >, < Seq1, primary optical platform C >, < Seq1, primary optical platform D >, < Seq1, primary optical platform E >, < Seq1, primary optical platform F >, < Seq2, primary optical platform a >, < Seq2, primary optical platform B >, < Seq2, primary optical platform C >, < Seq2, primary optical platform D >, < Seq2, primary optical platform E >, < Seq2, primary optical platform F >, < Seq3, primary optical platform a >, < 3, primary optical platform B >, < 3, primary optical platform C >, < 3, primary optical platform D, < 3, primary optical platform F > and primary optical platform F.
Fig. 2 shows that the three phase-locked sequences uniformly adopt the optical platform a as the main optical platform, and six optical platforms a, B, C, D, E, and F are placed counterclockwise.
Fig. 3 shows a phase-locked scheme using six optical stages a, B, C, D, E, and F as the main optical stage. Wherein black indicates that the current optical bench is the primary optical bench. FIG. 3 (a) shows selection A as the primary optical platform, with the phase lock sequence Seq1; FIG. 3 (B) shows selection B as the primary optical platform, with the phase lock sequence Seq1; FIG. 3 (C) shows the main optical stage selected as C, with the phase lock sequence Seq1; FIG. 3 (D) shows that D is selected as the primary optical stage and the phase lock sequence is Seq1; FIG. 3 (E) shows that E is selected as the primary optical stage and the phase lock sequence is Seq1; FIG. 3 (F) shows that F is selected as the main optical stage and the phase-lock sequence is Seq1.
The beat frequency of the phase-locked sequence Seq1 is calculated as follows:
wherein, the first and the second end of the pipe are connected with each other,
respectively representing the calculation of 4 time-varying beat signals,
5 beat frequency signal calculation modes which do not change along with time are shown. Wherein MOB represents the selected primary optical platform. For the sake of generality, the satellite where the main optical platform is located is set as satellite 1, and the other two satellites are set as satellite 2 and satellite 3, respectively. Wherein the satellite adjacent to one side of the primary optical platform is satellite 3 and the other satellite is satellite 2. Wherein, Δ f (1,2) Represents the offset frequency between the adjacent optical platforms of satellite 1 and satellite 2; Δ f (1,3) Represents the offset frequency between the optical platforms adjacent to satellite 1 and satellite 3; Δ f (3,3) Represents the offset frequency between the two optical platforms inside the satellite 3; Δ f (1,1) Represents the offset frequency between the two optical platforms inside the satellite 1; Δ f (2,2) Represents the offset frequency between the two optical platforms inside the satellite 2; f. of d1 (t) represents the doppler shift between satellite 1 and satellite 2 over time; f. of d2 (t) represents the doppler shift between satellite 3 and satellite 2 over time; f. of d3 (t) represents the doppler frequency shift between satellite 1 and satellite 3 over time.
The beat frequency of the phase-locked sequence Seq2 is calculated as follows:
wherein, the first and the second end of the pipe are connected with each other,
respectively representing the calculation of 4 time-varying beat signals,
showing 5 beat signal calculation modes which do not change with time. Wherein MOB represents the selected primary optical platform. For the sake of generality, the satellite where the main optical platform is located is set as satellite 1, and the other two satellites are set as satellite 2 and satellite 3, respectively. Wherein the satellite adjacent to one side of the primary optical platform is satellite 3 and the other satellite is satellite 2. Wherein, Δ f (1,2) Represents the offset frequency between the optical platforms adjacent to satellite 1 and satellite 2; Δ f (1,3) Represents the offset frequency between the optical platforms adjacent to satellite 1 and satellite 3; Δ f (2,3) Represents the offset frequency between satellite 2 and the optical platform adjacent to satellite 3; Δ f (3,3) Represents the offset frequency between the two optical platforms inside the satellite 3; Δ f (2,2) Represents the offset frequency between the two optical platforms inside the satellite 2; f. of d1 (t) represents the doppler shift between satellite 1 and satellite 2 over time; f. of d2 (t) represents the doppler shift between satellite 3 and satellite 2 over time; f. of d3 (t) represents the doppler shift between satellite 1 and satellite 3 over time.
The beat frequency of the phase-locked sequence Seq3 is calculated as follows:
wherein the content of the first and second substances,
respectively representing the calculation of 4 time-varying beat signals,
5 beat frequency signal calculation modes which do not change along with time are shown. Wherein MOB represents the selected primary optical platform. Is composed ofThe generality of the expression is set, the satellite where the main optical platform is located is the satellite 1, and the rest two satellites are the satellite 2 and the satellite 3 respectively. Wherein the satellite adjacent to one side of the primary optical platform is satellite 3 and the other satellite is satellite 2. Wherein, Δ f (1,1) Represents the offset frequency between the two optical platforms inside the satellite 1; Δ f (1,3) Represents the offset frequency between the optical platforms adjacent to satellite 1 and satellite 3; Δ f (2,3) Represents the offset frequency between satellite 2 and the optical platform adjacent to satellite 3; Δ f (3,3) Represents the offset frequency between the two optical platforms inside the satellite 3; Δ f (2,2) Represents the offset frequency between the two optical platforms inside the satellite 2; f. of d1 (t) represents the doppler shift between satellite 1 and satellite 2 over time; f. of d2 (t) represents the doppler shift between satellite 3 and satellite 2 over time; f. of d3 (t) represents the doppler shift between satellite 1 and satellite 3 over time.
Step 2) setting an initial beat frequency upper limit f upper ；
Initial beat frequency ceiling f upper Typically set at 25MHz.
Step 3) setting a time slice starting time Start =1 and an ending time End = Start;
step 4) selecting a phase-locked main optical platform at the current stage according to the phase-locked scheme switching sequence adopted in the step 1);
step 5) selecting a phase locking sequence of the current stage according to the phase locking scheme switching sequence adopted in the step 1);
step 6) constructing a dynamic constraint condition for Seed generation according to the current Start time and End time;
the dynamic constraints for Seed generation specifically include:
wherein LB and UB represent the lower and upper beat frequency limits, respectively;
(Start, end) represents the number of all beat frequencies 1 from t = Start to t = End;
(Start, end) represents the number of all beat frequencies 2 from t = Start to t = End;
(Start, end) represents the number of all beat frequencies 3 from t = Start to t = End;
(Start, end) represents all beat frequency 4 values from t = Start to t = End;
(Start, end) represents the value of all beat frequencies 5 from t = Start to t = End;
(Start, end) represents the value of all beat frequencies 6 from t = Start to t = End;
(Start, end) represents the value of all beat frequencies 7 from t = Start to t = End;
(Start, end) represents the value of all beat frequencies 8 from t = Start to t = End;
(Start, end) represents the value of all beat frequencies 9 from t = Start to t = End. As the algorithm iterates, the value of End changes continuously, so the dynamic constraint needs to be reconstructed before each solution.
Taking the phase-locking scheme < Seq1, main optical platform a > as an example, when Start =1, end =2, the dynamic constraint conditions for Seed generation are as follows
Step 7) solving the current offset frequency planning scheme by adopting a linear programming algorithm;
step 8) judging whether a feasible solution can be obtained or not, and if so, turning to step 9); otherwise go to step 12)
Step 9) storing the current Start time, end time and offset frequency solving Result into the End row of the matrix Result; the offset frequency solution includes Δ f (1,1) 、Δf (2,2) 、Δf (3,3) 、Δf (1,2) 、 Δf (1,3) And Δ f (2,3) 。
The Result matrix Result stores the calculation Result of the offset frequency in the current time slice, and stores the calculation Result in a queue mode, wherein the last row of the latest calculation Result scheme matrix.
Step 10) judging whether the current End time End is the End time EOF or not, and if yes, turning to the step 11); if not, go to step 19); the end time EOF is typically set to 1825 days.
Step 11) saving the planning result of the current offset frequency and updating the upper limit f of the beat frequency upper ＝f upper -1, go to step 3)
Step 12) setting an End time End = End-1;
step 13) setting the initial Seed of the genetic algorithm as each offset frequency solving Result in the End row of the Result matrix Result;
step 14) constructing a dynamic constraint condition for the genetic algorithm according to the Start time Start and the End time End.
The dynamic constraints for genetic algorithms include in particular:
wherein LB and UB represent the lower and upper beat frequency limits, respectively;
represents the absolute value of all beat frequencies 1 from t = Start to t = End;
represents the absolute value of all beat frequencies 2 from t = Start to t = End;
represents the absolute value of all beat frequencies 3 from t = Start to t = End;
represents the absolute value of all beat frequencies 4 from t = Start to t = End;
represents the absolute value of all beat frequencies 5 from t = Start to t = End;
represents the absolute value of all beat frequencies 6 from t = Start to t = End;
represents the absolute value of all beat frequencies 7 from t = Start to t = End;
represents the absolute value of all beat frequencies 8 from t = Start to t = End;
the absolute value of all beat frequencies 9 from t = Start to t = End is indicated. As the algorithm iterates, the value of End changes continuously, so the dynamic constraint needs to be reconstructed before each solution.
Taking the phase-locking scheme < Seq1, the main optical platform a > as an example, when Start =1, end =2, the dynamic constraint conditions for the genetic algorithm are as follows
Step 15) solving by adopting a genetic algorithm;
step 16) judging whether a feasible solution exists, and if so, turning to the step 17); otherwise, go to step 20)
Step 17) storing the current Start time, end time and offset frequency solving Result into a matrix Result;
step 18) judging whether the current End time End is the End time EOF or not, if yes, turning to the step 11); if not, go to step 21);
step 19) set End = End +1, go to step 6)
Step 20) judging whether the Start time Start and the End time End are equal, if so, turning to step 23); if not, go to step 22);
step 21) set End = End +1, go to step 14)
Step 22) setting a Start time Start = End, and setting an End time End = Start; go to step 4);
and step 23) finishing all results including the phase locking scheme adopted in each time slice and the corresponding offset frequency planning result, and finishing the solution.
In one example, using 5 years of inter-satellite doppler shift data already 300 kilo-kilometers of arm length, as shown in fig. 4, the abscissa represents time and the ordinate represents the doppler shift at that time in MHz. The solution result by the above method is as follows:
TABLE 1 results of solution
As can be seen from table 1, when the upper beat frequency limit is set to 21MHz, the phase-locking scheme needs to be changed 1 time in total: in the phase 1, a main satellite is selected as A, the phase locking sequence is Seq3, and the duration is 1477 days; phase 2 the master star is C, the phase lock sequence is Seq3, duration 328 days.
The offset frequency is set as follows:
TABLE 2 offset frequency settings
The present invention also provides a computer apparatus, comprising: at least one processor, memory, at least one network interface, and a user interface. The various components in the device are coupled together by a bus system. It will be appreciated that a bus system is used to enable the communication of the connections between these components. The bus system comprises, in addition to a data bus, a power bus, a control bus and a status signal bus.
The user interface may comprise, among other things, a display, a keyboard or a pointing device. Such as a mouse, track ball, touch sensitive pad or touch screen, etc.
It will be appreciated that the memory in the embodiments disclosed herein may be either volatile memory or nonvolatile memory, or may include both volatile and nonvolatile memory. The non-volatile Memory may be a Read-Only Memory (ROM), a Programmable ROM (PROM), an Erasable PROM (EPROM), an Electrically Erasable PROM (EEPROM), or a flash Memory. The volatile Memory may be a Random Access Memory (RAM) which serves as an external cache. By way of example, and not limitation, many forms of RAM are available, such as Static Random Access Memory (SRAM), dynamic Random Access Memory (DRAM), synchronous Dynamic Random Access Memory (SDRAM), double Data Rate Synchronous Dynamic Random Access Memory (DDRSDRAM), enhanced Synchronous SDRAM (ESDRAM), synchronous Link Dynamic Random Access Memory (SLDRAM), and Direct Rambus RAM (DRRAM). The memory described herein is intended to comprise, without being limited to, these and any other suitable types of memory.
In some embodiments, the memory stores elements, executable modules or data structures, or a subset thereof, or an expanded set thereof: an operating system and an application program.
The operating system includes various system programs, such as a framework layer, a core library layer, a driver layer, and the like, and is used for implementing various basic services and processing hardware-based tasks. The application programs include various application programs such as a Media Player (Media Player), a Browser (Browser), and the like, and are used to implement various application services. The program for implementing the method of the embodiment of the present disclosure may be included in the application program.
In the above embodiment, the processor is further configured to call a program or an instruction stored in the memory, specifically, a program or an instruction stored in the application program, and is configured to:
the steps of the above method are performed.
The above method may be applied in or implemented by a processor. The processor may be an integrated circuit chip having signal processing capabilities. In implementation, the steps of the above method may be performed by integrated logic circuits of hardware in a processor or instructions in the form of software. The Processor may be a general purpose Processor, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field Programmable Gate Array (FPGA) or other Programmable logic device, discrete Gate or transistor logic device, or discrete hardware components. The methods, steps, and logic blocks disclosed above may be implemented or performed. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like. The steps of the method disclosed in connection with the above disclosure may be embodied directly in a hardware decoding processor, or in a combination of hardware and software modules within the decoding processor. The software modules may be located in ram, flash, rom, prom, or eprom, registers, etc. as is well known in the art. The storage medium is located in a memory, and the processor reads information in the memory and completes the steps of the method in combination with hardware of the processor.
It is to be understood that the embodiments described herein may be implemented in hardware, software, firmware, middleware, microcode, or any combination thereof. For a hardware implementation, the Processing units may be implemented within one or more Application Specific Integrated Circuits (ASICs), digital Signal Processors (DSPs), digital Signal Processing Devices (DSPDs), programmable Logic Devices (PLDs), field Programmable Gate Arrays (FPGAs), general purpose processors, controllers, micro-controllers, microprocessors, other electronic units designed to perform the functions described herein, or a combination thereof.
For a software implementation, the techniques of the present invention may be implemented by executing the functional blocks (e.g., procedures, functions, and so on) of the present invention. The software codes may be stored in a memory and executed by a processor. The memory may be implemented within the processor or external to the processor.
The present invention may also provide a non-volatile storage medium for storing a computer program. The computer program may realize the respective steps of the above-described method embodiments when executed by a processor.
Finally, it should be noted that the above embodiments are only used for illustrating the technical solutions of the present invention and are not limited. Although the present invention has been described in detail with reference to the embodiments, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted without departing from the spirit and scope of the invention as defined in the appended claims.
Claims (10)
1. A method for solving an offset frequency strategy by using a Seed pre-generation genetic algorithm is used for solving the offset frequency strategy in a space-based gravitational wave detector; the space-based gravitational wave detector comprises three satellites, and the three satellites are placed in an equilateral triangle; each satellite comprises two laser interference optical platforms;
the method comprises the following steps:
step 1: establishing a phase-locking scheme switching sequence;
step 2: setting an initial beat frequency upper limit;
and step 3: according to the phase-locked scheme switching sequence, according to a set target function, circularly solving offset frequency planning results at different moments in all time slices under the condition of meeting dynamic constraint conditions by adopting a Seed pre-generation genetic algorithm; repeating the step for multiple times, and calculating to obtain the lowest beat frequency upper limit and the corresponding offset frequency strategy which can be supported under the phase-locking scheme switching sequence;
the offset frequency strategy comprises the offset frequency between two optical platforms in each satellite and the offset frequency between two adjacent optical platforms between two adjacent satellites.
2. A method for solving an offset frequency strategy according to a Seed pre-generated genetic algorithm as defined in claim 1, wherein the step 1 specifically comprises:
the phase-locking scheme switching sequence comprises 3 phase-locking sequences and 6 phase-locking main optical platforms, and 18 phase-locking schemes are formed in total;
setting 3 satellites as a satellite 1, a satellite 2 and a satellite 3 respectively; the six optical platforms A, B, C, D, E and F are placed anticlockwise;
the three phase-locked sequences are respectively marked as Seq1, seq2 and Seq3;
the first phase-locked sequence Seq1 is to select one optical platform as a master optical platform, and the other 5 optical platforms are slave optical platforms; in the phase locking process, 2 slave optical platforms are arranged on one side of a main optical platform, and the other 3 optical platforms are arranged on the other side of the main optical platform; the laser frequency of the main optical platform is kept constant, and the two sides of the main optical platform are sequentially phase-locked to the received laser emitted by the adjacent optical platform from near to far;
the second phase-locked sequence Seq2 is to select one optical platform as a master optical platform, and the other 5 optical platforms are slave optical platforms; in the phase locking process, 1 secondary optical platform is arranged on one side of a primary optical platform, and the other 4 optical platforms are arranged on the other side of the primary optical platform; the laser frequency of the main optical platform is kept constant, and the two sides of the main optical platform are sequentially phase-locked to the received laser emitted by the adjacent optical platform from near to far;
the third phase-locked sequence Seq3 is to select one optical platform as a master optical platform, and the other 5 optical platforms are slave optical platforms; in the phase locking process, 0 slave optical platforms are arranged on one side of the master optical platform, and the other 5 optical platforms are arranged on the other side of the master optical platform; the laser frequency of the main optical platform keeps constant, and one side of the main optical platform is sequentially phase-locked to the received laser emitted by the adjacent optical platform from near to far from the laser of the optical platform;
the 18 phase-lock schemes are < Seq1, < main optical platform a >, < Seq1, < main optical platform B >, < Seq1, < main optical platform C >, < Seq1, < main optical platform D >, < Seq1, < main optical platform E >, < Seq1, < main optical platform F >, < Seq2, < main optical platform a >, < Seq2, < main optical platform B >, < Seq2, < main optical platform C >, < Seq2, < main optical platform D >, < Seq2, < main optical platform E >, < Seq2, < optical platform F >, < Seq3, < main optical platform a >, < Seq3, < main optical platform B >, < Seq3, < main optical platform C >, < q3, < main optical platform D >, < q3, < main optical platform E >, < q3, < q > and main optical platform F.
3. The method of solving an offset frequency strategy of a Seed pre-generated genetic algorithm of claim 2, wherein:
setting a satellite where a main optical platform is located as a satellite 1, and setting the rest two satellites as a satellite 2 and a satellite 3 respectively; wherein the satellite adjacent to one side of the main optical platform is a satellite 3, and the other satellite is a satellite 2;
the beat frequency of the phase-locked sequence Seq1 is calculated as follows:
wherein t represents time;
respectively representing the calculation of 4 beat signals varying with time,
5 beat frequency signal calculation modes which do not change along with time are shown; MOB represents the selected primary optical platform; Δ f (1,2) Represents the offset frequency between the optical platforms adjacent to satellite 1 and satellite 2; Δ f (1,3) Represents the offset frequency between the optical platforms adjacent to satellite 1 and satellite 3; Δ f (3,3) Represents the offset frequency between the two optical platforms inside the satellite 3; Δ f (1,1) Represents the offset frequency between the two optical platforms inside the satellite 1; Δ f (2,2) Represents the offset frequency between the two optical platforms inside the satellite 2; f. of d1 (t) represents the doppler shift between satellite 1 and satellite 2 over time; f. of d2 (t) represents the doppler shift between satellite 3 and satellite 2 over time; f. of d3 (t) represents the doppler shift between satellite 1 and satellite 3 over time;
the beat frequency of the phase-locked sequence Seq2 is calculated as follows:
wherein, Δ f (2,3) Represents the offset frequency between satellite 2 and the optical platform adjacent to satellite 3;
the beat frequency of the phase-locked sequence Seq3 is calculated as follows:
4. a method for solving an offset frequency strategy according to a Seed pre-generation genetic algorithm as defined in claim 1, wherein the initial upper beat frequency limit f upper Set to 25MHz.
5. A method for solving an offset frequency strategy according to a Seed pre-generated genetic algorithm as defined in claim 3, wherein the step 3 specifically comprises:
step 3-1: setting a time slice starting time Start =1 and an ending time End = Start;
step 3-2: selecting a phase-locked main optical platform at the current stage according to the phase-locked scheme switching sequence adopted in the step 1;
step 3-3: selecting a phase locking sequence of the current stage according to the phase locking scheme switching sequence adopted in the step 1;
step 3-4: constructing a dynamic constraint condition for Seed generation according to the current Start time and End time;
step 3-5: solving the current offset frequency planning scheme by adopting a linear programming algorithm;
3-6: judging whether a feasible solution can be obtained or not, if so, turning to the step 3-7); otherwise, turning to the step 3-10;
step 3-7: saving the current Start time, end time and offset frequency solving Result to the End row of the matrix Result;
step 3-8: judging whether the current End time End is the End time EOF or not, and if so, turning to the step 3-9; otherwise, turning to the step 3-17;
step 3-9: saving the planning result of the current offset frequency and setting the upper limit f of the beat frequency upper Decreasing by 1 unit, and turning to step 3-1;
step 3-10: setting the End time End to be reduced by 1 unit;
step 3-11: setting an initial Seed of a genetic algorithm as each offset frequency solving Result in the End row of a Result matrix Result;
step 3-12: constructing a dynamic constraint condition for the genetic algorithm according to the Start time Start and the End time End;
step 3-13: solving by adopting a genetic algorithm according to a set target function;
step 3-14: judging whether a feasible solution exists, and if so, turning to the step 3-15; otherwise, go to step 3-18;
step 3-15: saving the current Start time, end time and offset frequency solving Result in a matrix Result;
step 3-16: judging whether the current End time End is the End time EOF or not, and if so, turning to the step 3-9; otherwise, turning to the step 3-19;
step 3-17: setting an End time End to be increased by 1 unit, and turning to the step 3-4;
step 3-18: judging whether the Start time Start and the End time End are equal, if so, turning to the step 3-21; otherwise, turning to the step 3-20;
step 3-19: setting an End time End to be increased by 1 unit, and turning to the step 3-12;
step 3-20: setting a Start time Start = End, and setting an End time End = Start; turning to step 3-2;
step 3-21: and sorting all results, including the phase locking scheme adopted in each time slice and the corresponding offset frequency planning result, to obtain the lowest beat frequency upper limit and the corresponding offset frequency strategy which can be supported under the condition of setting the switching sequence of the phase locking scheme.
6. The method for solving the offset frequency strategy according to the Seed pre-generated genetic algorithm of claim 5, wherein the steps 3-4 comprise:
the dynamic constraints for Seed generation specifically include:
wherein LB and UB represent the lower and upper beat frequency limits, respectively;
a numerical value representing all beat frequencies 1 from t = Start to t = End;
a value representing all beat frequencies 2 from t = Start to t = End;
a numerical value representing all beat frequencies 3 from t = Start to t = End;
a numerical value representing all beat frequencies 4 from t = Start to t = End;
a value representing all beat frequencies 5 from t = Start to t = End;
a numerical value representing all beat frequencies 6 from t = Start to t = End;
a value representing all beat frequencies 7 from t = Start to t = End;
a value representing all beat frequencies 8 from t = Start to t = End;
all beat frequencies 9 from t = Start to t = End are indicated.
7. A method for solving an offset frequency strategy according to a Seed pre-generated genetic algorithm as defined in claim 5, wherein said steps 3-12 specifically comprise:
the dynamic constraints for genetic algorithms include in particular:
wherein LB and UB representA beat frequency lower and upper limit;
| represents the absolute value of all beat frequencies 1 from t = Start to t = End;
| represents the absolute value of all beat frequencies 2 from t = Start to t = End;
represents the absolute value of all beat frequencies 3 from t = Start to t = End;
| represents the absolute value of all beat frequencies 4 from t = Start to t = End;
represents the absolute value of all beat frequencies 5 from t = Start to t = End; non-viable cells
| represents the absolute value of all beat frequencies 6 from t = Start to t = End;
| represents the absolute value of all beat frequencies 7 from t = Start to t = End;
represents the absolute value of all beat frequencies 8 from t = Start to t = End;
the absolute value of all beat frequencies 9 from t = Start to t = End is indicated.
8. A method for solving an offset frequency strategy according to a Seed pre-generated genetic algorithm as claimed in claim 5, wherein the objective function is:
Max T
where T denotes the duration of the offset frequency, T = End-Start.
9. A method for solving an offset frequency strategy according to a Seed pregeneration genetic algorithm as defined in claim 5, wherein the end time EOF is set to 1825 days.
10. A system for solving an offset frequency strategy for a Seed pre-generated genetic algorithm, the system comprising:
the phase-locking scheme switching sequence module is used for making a feasible phase-locking scheme switching sequence;
the initial beat frequency upper limit setting module is used for setting an initial beat frequency upper limit according to experience;
the calculation offset frequency measurement module is used for switching sequences according to a phase-locked scheme, and circularly solving offset frequency planning results meeting different moments under dynamic constraint conditions in all time slices by adopting a Seed pre-generation genetic algorithm according to a set target function; repeating the step for multiple times, and calculating to obtain the lowest beat frequency upper limit and the corresponding offset frequency strategy which can be supported under the phase-locking scheme switching sequence;
the offset frequency strategy comprises the offset frequency between two optical platforms in each satellite and the offset frequency between two adjacent optical platforms between two adjacent satellites.
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