CN114740432B - Composite multi-factor high-frequency ground wave radar comprehensive frequency selection method - Google Patents

Composite multi-factor high-frequency ground wave radar comprehensive frequency selection method Download PDF

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CN114740432B
CN114740432B CN202210426846.6A CN202210426846A CN114740432B CN 114740432 B CN114740432 B CN 114740432B CN 202210426846 A CN202210426846 A CN 202210426846A CN 114740432 B CN114740432 B CN 114740432B
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radar
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CN114740432A (en
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杨强
罗军
张鑫
王永军
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Harbin Institute of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/41Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00 using analysis of echo signal for target characterisation; Target signature; Target cross-section
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Abstract

A composite multi-factor high-frequency ground wave radar comprehensive frequency selection method belongs to the technical field of ground wave radar frequency management. The invention aims to solve the problem that the performance of the existing high-frequency ground wave radar is reduced because the working frequency is selected according to the silence principle and the selection result is higher. The method mainly comprises the following steps: processing an electromagnetic environment frequency spectrum of the high-frequency ground wave radar to obtain corresponding noise average power; calculating to obtain a frequency set of radio station interference based on the average power of the noise, and further obtaining a silent frequency set of the high-frequency ground wave radar; calculating an evaluation value set corresponding to the silence frequency set according to a selected optimization principle, and selecting the corresponding silence frequency when the evaluation value is maximum as the optimal working frequency of the high-frequency ground wave radar; the evaluation value is an evaluation result of each silence frequency value based on radar scattering area characteristics, short wave electromagnetic wave attenuation characteristics along sea surface propagation along distance and noise average power. The invention can obtain the optimal working frequency of the high-frequency ground wave radar through optimization and selection.

Description

Composite multi-factor comprehensive frequency selection method for high-frequency ground wave radar
Technical Field
The invention relates to a composite multi-factor high-frequency ground wave radar comprehensive frequency selection method, and belongs to the technical field of ground wave radar frequency management.
Background
The high-frequency ground wave radar has obvious over-the-horizon remote sensing capability, can observe remote ocean surface current change and sea surface targets, and becomes a typical over-the-horizon remote sensing means in the twenty-first century. Compared with a microwave radar, the influence of the working frequency on the working performance of the high-frequency ground wave radar is more important. Since high frequency radar operates at crowded short wave frequencies, early high frequency radar frequency management typically employed the selection of relatively "silent" operating frequencies. By "silent" is meant that the radar operating frequency is at a frequency that is free of short wave radio interference, free of short wave communications, and low ambient noise. Research on frequency selection methods of high-frequency ground wave radars has been continuously conducted. Most of the existing methods are based on the characteristics of silence frequency statistics to carry out prediction, evaluation and the like, and then frequency selection is carried out according to prediction results.
However, in the actual operation of high frequency ground wave radar, the ambient noise has the characteristic of decreasing significantly with increasing operating frequency, so the relative "silence" frequency selected by the "silence" principle is higher. However, the higher the radar operating frequency is, the greater the sea surface attenuation of the radio wave propagation is, so that the frequency selection result is performed by taking whether interference exists in the frequency spectrum as a criterion, which easily causes the frequency to be too high, thereby reducing the radar performance. At short wave frequency, the radar scattering area characteristic of the sea surface target presents a resonance characteristic which is a function of frequency, and the radar scattering area characteristic of different frequencies fluctuates violently. Therefore, the single "silent" principle is not fully applicable to high frequency ground wave radar under the influence of electromagnetic propagation, target electromagnetic properties, etc.
At present, high-frequency ground wave radar is developed through software and regulation, and in the actual use process, the requirements of automation and optimization are very urgent, so in order to obtain the optimal performance of the high-frequency ground wave radar, multiple factors such as silent frequency, radio wave propagation characteristics, target radar scattering characteristics and the like are considered in a combined mode, and an automation and optimization principle is established, so that the automatic and comprehensive frequency selection of multiple factors is realized.
Disclosure of Invention
The invention provides a comprehensive frequency selection method of a high-frequency ground wave radar, which is compounded with multiple factors and aims to solve the problem that the performance of the radar is reduced because the working frequency of the existing high-frequency ground wave radar is selected purely according to a silence principle and the selection result is higher.
The invention relates to a method for selecting the comprehensive frequency of a composite multi-factor high-frequency ground wave radar, which comprises the following steps,
processing an electromagnetic environment frequency spectrum of the high-frequency ground wave radar to obtain corresponding noise average power; calculating to obtain a frequency set of radio station interference based on the average noise power so as to obtain a silence frequency set of the high-frequency ground wave radar;
selecting an optimization principle, wherein the optimization principle comprises an optimization principle of the farthest distance range and an optimization principle of the optimal target discovery;
calculating an evaluation value set corresponding to the silence frequency set according to a selected optimization principle, and selecting the corresponding silence frequency when the evaluation value is maximum as the optimal working frequency of the high-frequency ground wave radar;
the evaluation value is an evaluation result of each silence frequency value based on radar scattering area characteristics, short wave electromagnetic wave attenuation characteristics along sea surface propagation along distance and noise average power.
According to the comprehensive frequency selection method of the composite multi-factor high-frequency ground wave radar, the electromagnetic environment frequency spectrum is obtained after the high-frequency ground wave radar passively receives the environmental electromagnetic signals in the working frequency range.
According to the comprehensive frequency selection method of the composite multi-factor high-frequency ground wave radar, the method for obtaining the noise average power comprises the following steps:
obtaining a logarithmic power spectrum { P after logarithm is taken on the electromagnetic environment frequency spectrum dB (f)},{f}∈[f min ,f max ]Where { f } is the set of operating frequencies, f min At minimum operating frequency, f max Is the maximum operating frequency;
logarithmic power spectrum P using equiripple chebyshev low pass filter dB (f) Carry out low-pass filtering to obtain the average power X of the noise n (f):
X n (f)=H(P dB (f)),
Where H (-) denotes an equiripple Chebyshev low-pass filter.
According to the comprehensive frequency selection method of the composite multi-factor high-frequency ground wave radar, the method for obtaining the silence frequency set of the high-frequency ground wave radar comprises the following steps:
setting the interference threshold of the radio station as T, then the frequency set of the radio station interference { f i The method is as follows:
{f i }={f i :P dB (f i )≥X n (f i )+T},f i ∈[f min ,f max ],
frequency set { f) interfered by radio station i The complement of the working frequency set f obtains the silent frequency set f j }:
{f j }={f}\{f i }。
Composite multifactor high frequency ground wave radar complex frequency according to the inventionRate selection method, when the optimization principle of the farthest distance range is selected, the obtained optimal working frequency f optimal Comprises the following steps:
Figure BDA0003609975490000021
in the formula { eta (f) } j ) Is the set of silence frequencies f j The corresponding evaluation value set, R is the distance, R max At the maximum distance, σ (f) j ) Const represents a constant for the radar scattering area characteristic.
According to the method for selecting the comprehensive frequency of the composite multi-factor high-frequency ground wave radar, when an optimization principle for finding the optimal target is selected, the obtained optimal working frequency f optimal Comprises the following steps:
Figure BDA0003609975490000031
in the formula R 0 To set the optimal distance.
According to the composite multi-factor high-frequency ground wave radar comprehensive frequency selection method, the evaluation value set { eta (f) j ) The obtaining method comprises the following steps:
η(f j )=4E(f j ,R)-20log 10 (f j )+σ(f j )-X n (f j ),
in the formula E (f) j And R) is the attenuation characteristic of short-wave electromagnetic wave along sea surface propagation along distance.
According to the composite multi-factor high-frequency ground wave radar comprehensive frequency selection method, parameters of the equal-ripple Chebyshev low-pass filter comprise the following steps: the cut-off frequency of the pass band is 2Hz, the attenuation of the stop band is 20dB, and the ripple in the band is 1dB.
According to the comprehensive frequency selection method of the composite multi-factor high-frequency ground wave radar, the interference threshold T of a radio station is selected to be 5dB.
According to the comprehensive frequency selection method of the composite multi-factor high-frequency ground wave radar, the radar scattering area characteristic sigma (f) j ) By usingUser settings or by calculation of electromagnetic modeling of the selected target.
The invention has the beneficial effects that: the working performance of the high-frequency ground wave radar is a nonlinear fluctuation function of the working frequency of the high-frequency ground wave radar, and how to select the working frequency is always the core problem of the high-frequency ground wave radar. In order to obtain the optimal working frequency, the method firstly calculates and obtains the relatively stable silence frequency information according to the electromagnetic spectrum of the current frequency band obtained by the high-frequency ground wave radar; setting two optimization principles of a farthest distance range and an optimal target discovery according to needs; and selecting the optimal frequency according to the optimization principle, the silence frequency band information and the frequency selection evaluation formula result to serve as the optimal working frequency of the high-frequency ground wave radar. The method can further select according to the actual requirement on the basis of determining the silence frequency set, thereby avoiding the problem that the selection result is higher when the working frequency is selected purely according to the silence principle; the optimal working frequency selected based on the method of the invention considers the actual use requirement, and can ensure that the radar works under the optimal performance.
The invention can synthesize silent frequency, radar scattering area of the target and short wave electromagnetic wave propagation characteristics to carry out optimized working frequency selection, simultaneously supports the optimization principle of farthest distance range and optimal target discovery, has the advantages of directly utilizing electromagnetic environment data and target radar scattering area results, is simple and convenient to implement, can calculate in real time to obtain results, and can also be suitable for high-frequency sky wave radars and other occasions with optimized working frequency of short wave frequency band radars.
The method of the invention considers a plurality of factors to select the frequency, is suitable for occasions needing to enable the high-frequency ground wave radar to work under the optimal performance, and can be used for perfecting a frequency management system of the high-frequency ground wave radar, guiding the design of a health management system of the high-frequency ground wave radar and the like.
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FIG. 1 is a flow chart of a composite multi-factor high-frequency ground wave radar comprehensive frequency selection method according to the invention;
FIG. 2 is a graph of the coefficients of an equiripple Chebyshev low-pass filter;
FIG. 3 is a graph of the average power of noise obtained by low-pass filtering the electromagnetic environment spectrum with an equiripple Chebyshev low-pass filter;
FIG. 4 is a graph of the attenuation characteristic of short wave electromagnetic waves propagating along the surface of the sea as a function of distance;
fig. 5 is a diagram showing calculation results of frequency evaluation values in the embodiment;
FIG. 6 shows the radar scattering area property σ (f) j ) A calculation result graph of the frequency evaluation value when the constant is 25 dB;
FIG. 7 is a graph of evaluation values calculated according to the optimization principle of the farthest distance range as a function of frequency according to an embodiment;
FIG. 8 is a graph of the ranked evaluation values obtained by ranking the silence frequency evaluation values in FIG. 7 from large to small;
FIG. 9 is a graph of evaluation values calculated according to the optimization principle of optimal target discovery versus frequency in an embodiment;
fig. 10 is a graph of the evaluation values after sorting by sorting the silence frequency evaluation values in fig. 9 from large to small.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that the embodiments and features of the embodiments may be combined with each other without conflict.
The invention is further described with reference to the following drawings and specific examples, which are not intended to be limiting.
First embodiment, referring to fig. 1, the present invention provides a method for selecting a composite multi-factor high-frequency ground wave radar integrated frequency, including,
processing an electromagnetic environment frequency spectrum of the high-frequency ground wave radar to obtain corresponding noise average power; calculating to obtain a frequency set of radio station interference based on the average noise power so as to obtain a silence frequency set with relatively stable high-frequency ground wave radar;
selecting an optimization principle, wherein the optimization principle comprises an optimization principle of the farthest distance range and an optimization principle of the optimal target discovery;
calculating an evaluation value set corresponding to the silence frequency set according to the selected optimization principle, and selecting the silence frequency corresponding to the maximum evaluation value as the optimal working frequency of the high-frequency ground wave radar; the optimal working frequency meets the optimization principle;
the evaluation value is an evaluation result of each silence frequency value based on radar scattering area characteristics, short wave electromagnetic wave attenuation characteristics along sea surface propagation along distance and noise average power.
Further, the electromagnetic environment frequency spectrum is obtained after the high-frequency ground wave radar passively receives the environment electromagnetic signal in the working frequency range.
Still further, the method of obtaining the noise average power includes:
obtaining a logarithmic power spectrum { P after logarithm is taken on the electromagnetic environment frequency spectrum dB (f)},{f}∈[f min ,f max ]Where { f } is the set of operating frequencies, f min At minimum operating frequency, f max Is the maximum operating frequency;
table 1 below gives a piece of electromagnetic environment spectrum data:
TABLE 1
frequency/MHz Log power spectrum magnitude/dB frequency/MHz Log power spectrum amplitude/dB
3.10 51.2 4.60 45.0
3.15 50.0 4.65 44.8
3.20 49.8 4.70 46.2
3.25 50.6 4.75 45.4
3.30 51.2 4.80 46.8
3.35 50.6 4.85 45.7
3.40 65.6 4.90 45.0
3.45 51.1 4.95 45.3
3.50 51.0 5.00 71.2
3.55 50.4 5.05 45.2
3.60 48.5 5.10 45.5
3.65 50.2 5.15 44.5
3.70 49.0 5.20 44.8
3.75 49.2 5.25 44.3
3.80 55.6 5.30 44.7
3.85 47.6 5.35 43.8
3.90 48.8 5.40 43.8
3.95 48.0 5.45 43.5
4.00 47.5 5.50 43.9
4.05 47.2 5.55 43.5
4.10 46.8 5.60 44.1
4.15 46.5 5.65 42.6
4.20 48.2 5.70 62.4
4.25 47.3 5.75 42.1
4.30 46.2 5.80 42.5
4.35 46.0 5.85 42.0
4.40 45.8 5.90 43.1
4.45 45.9 5.95 42.5
4.50 45.2 6.00 44.5
4.55 46.1
The minimum operating frequency in Table 1 is 3.1MHz and the maximum operating frequency is 6.0MHz.
Firstly, at a sampling rate of 10Hz, according to empirical values, the parameters of the equal ripple chebyshev low-pass filter can be selected as: the cut-off frequency of the pass band is 2Hz, the attenuation of the stop band is 20dB, and the ripple in the band is 1dB. The filter coefficients are shown in fig. 2.
Then, the electromagnetic environment spectrum is low-pass filtered by using an equiripple Chebyshev low-pass filter, and the average power of noise is obtained as shown by a dotted line in FIG. 3.
Logarithmic power spectrum { P ] using equiripple Chebyshev low-pass filter dB (f) Carry out low-pass filtering to obtain the average power X of the noise n (f):
X n (f)=H(P dB (f)),
Where H (-) denotes an equiripple Chebyshev low-pass filter.
In the embodiment, considering that the environmental electromagnetic noise presents a slowly-changing characteristic along with the frequency and radio station communication and other interferences present a burst characteristic, the burst data can be effectively filtered by using the low-pass filter, so that the average power of the noise at different frequencies is obtained.
Still further, the method for obtaining a silent frequency set of a high frequency ground wave radar comprises:
setting the interference threshold of the radio station as T, then the frequency set of the radio station interference { f i The method is as follows:
{f i }={f i :P dB (f i )≥X n (f i )+T},f i ∈[f min ,f max ],
frequency set { f) interfered by radio station i Supplementing the working frequency set { f } to obtain a silence frequency set { f } j }:
{f j }={f}\{f i }。
As an example, letThe fixed station interference threshold T is 5dB. From Table 1, the frequency set of station interference { f i The method is as follows: 3.4MHz, 3.8MHz, 5MHz, 5.7MHz. Silence frequency set f j The frequencies of the non-station interference frequencies in table 1 are included in the symbol.
Still further, when the optimization principle of the farthest distance range is selected, the obtained optimal working frequency f optimal Comprises the following steps:
Figure BDA0003609975490000061
in the formula { eta (f) } j ) Is the set of silence frequencies f j The corresponding evaluation value set, R is the distance, R max At the maximum distance, σ (f) j ) Const represents a constant for the radar scattering area characteristic.
The maximum distance R in the present embodiment max As a set value, the radar scattering area characteristic σ (f) j ) For fixing constant, searching the frequency for maximizing evaluation value in the silence frequency set to obtain the optimal working frequency f optimal
Still further, when an optimization principle for optimal target discovery is selected, the optimal operating frequency f is obtained optimal Comprises the following steps:
Figure BDA0003609975490000071
in the formula R 0 To set the optimum distance.
In this embodiment, the set optimal distance R may be determined according to a radar scattering area electromagnetic modeling calculation result curve of the specific target or a radar scattering area curve of the actually measured specific target 0
Still further, the evaluation value set { η (f) } is j ) The obtaining method comprises the following steps:
η(f j )=4E(f j ,R)-20log 10 (f j )+σ(f j )-X n (f j ),
in the formula E (f) j R) is short wave electromagnetic wave coastalSurface propagation attenuation characteristics with distance.
Attenuation characteristic E (f) of short wave electromagnetic wave along sea surface along distance j R) may be from the ground wave propagation attenuation curve provided by ITU report ITU-R P.368-9-200702. Figure 4 shows the ground wave propagation attenuation curves for different distance, silent frequency sets. The curves in fig. 4 correspond from top to bottom to 3.1MHz up to 6.0MHz.
In the present embodiment, the radar scattering area characteristic σ (f) of the target j ) Determined by user settings or by calculation of the results of electromagnetic modeling of the selected target. The relation between the radar scattering area and the silence frequency obtained after electromagnetic modeling and calculation of a certain target is given in table 2.
TABLE 2
Figure BDA0003609975490000072
/>
Figure BDA0003609975490000081
Attenuation characteristic E (f) of short wave electromagnetic wave along sea surface along distance j R), noise average power for the silence frequency and radar scattering area characteristic σ (f) provided in table 2 j ) Fig. 5 shows the result of calculating the frequency evaluation value by substituting the evaluation value calculation formula.
Obviously, although the lower the frequency is, the more helpful for detection, after integrating the noise power of the silent frequency and the scattering area of the target radar, the optimal working frequency is neither the lowest silent frequency nor the highest silent frequency.
Radar scattering area property sigma (f) under different frequencies when selecting target j ) The calculation result of the frequency evaluation value at this time is shown in fig. 6 with a constant of 25 dB. Obviously, the optimum operating frequency is not the lowest silent frequency, nor the highest silent frequency, subject to the noise power of the silent frequencies.
The method of the invention is used for selecting an optimization principle for each silence frequency f in the silence frequency set j Selecting and evaluating to obtain an evaluation value set { eta (f) j ) And selecting the frequency corresponding to the best result from the evaluation results, namely, sequencing the evaluation value sets from large to small to obtain the sequenced evaluation value sets
Figure BDA0003609975490000082
The sorted set of rating values +>
Figure BDA0003609975490000083
The silence frequency corresponding to the middle first evaluation value is the optimal working frequency, and the frequency is the optimal working frequency of the high-frequency ground wave radar meeting the optimization principle, namely: />
Figure BDA0003609975490000084
Corresponding to two optimization principles, the calculation steps are respectively as follows:
1) Optimization principle of farthest distance range:
the farthest distance is set to be 100km, and the scattering area of the target radar is selected to be 25dBm 2 From the set of silence frequencies { f j F corresponding to 100km is selected from the silence frequency evaluation value curve in fig. 6 j Calculating to obtain an evaluation value set { eta (f) j ) As shown in fig. 7.
Sorting the evaluation values in the evaluation value set from large to small to obtain a sorted evaluation value set
Figure BDA0003609975490000085
As shown in dashed lines in fig. 8. The solid line in fig. 8 is a silence frequency curve corresponding to the evaluation value, and silence frequency values are marked with "x" in the figure; in FIG. 8, X corresponds to sequence 1, and Y is the silence frequency corresponding to sequence 1.
Sorted set of evaluation values
Figure BDA0003609975490000091
The silence frequency corresponding to the first evaluation value of (2) is the optimal working frequency under the constraint of the optimization principle, and then: />
Figure BDA0003609975490000092
Obviously, the above evaluation value set
Figure BDA0003609975490000093
The silence frequency corresponding to the first evaluation value in (2) is 3.15MHz.
2) Optimization principle of best target discovery:
according to the radar scattering area result of the specific target provided in table 2, the radar scattering area curve of the specific target is set or actually measured, and the optimal distance R is set 0 100km, in terms of the set of silence frequencies f j F corresponding to 100km is selected from the silence frequency evaluation value curve in fig. 5 j Calculating to obtain an evaluation value set { eta (f) j ) As shown in fig. 9.
Ranking the evaluation values in the evaluation value set from large to small to obtain a ranked evaluation value set
Figure BDA0003609975490000094
As shown by the broken line in fig. 10, the solid line in the figure is a silence frequency value curve corresponding to each evaluation value, and the silence frequency value corresponding to each evaluation value is marked with "o" in the figure.
Sorted evaluation value set
Figure BDA0003609975490000095
The silence frequency corresponding to the first evaluation value of (2) is the optimal working frequency under the constraint of the optimization principle, and then: />
Figure BDA0003609975490000096
Obviously, the above evaluation value set
Figure BDA0003609975490000097
The silence frequency corresponding to the first evaluation value in (2) is 4.6MHz, and is marked in the figure.
In summary, the invention can synthesize the electromagnetic environment information, the target radar scattering area information and the propagation characteristic of the high-frequency electromagnetic wave along the sea surface around the radar, and obtain the optimal working frequency meeting the principle from the aspects of meeting the farthest distance range and the optimal target discovery principle.
Although the invention herein has been described with reference to particular embodiments, it is to be understood that these embodiments are merely illustrative of the principles and applications of the present invention. It is therefore to be understood that numerous modifications may be made to the illustrative embodiments and that other arrangements may be devised without departing from the spirit and scope of the present invention as defined by the appended claims. It should be understood that various dependent claims and the features described herein may be combined in ways different from those described in the original claims. It is also to be understood that features described in connection with individual embodiments may be used in other described embodiments.

Claims (10)

1. A method for selecting the comprehensive frequency of a composite multi-factor high-frequency ground wave radar is characterized by comprising the following steps,
processing an electromagnetic environment frequency spectrum of the high-frequency ground wave radar to obtain corresponding noise average power; calculating and obtaining a frequency set of radio station interference based on the noise average power, and further obtaining a silent frequency set of the high-frequency ground wave radar;
selecting an optimization principle, wherein the optimization principle comprises an optimization principle of the farthest distance range and an optimization principle of the optimal target discovery;
calculating an evaluation value set corresponding to the silence frequency set according to the selected optimization principle, and selecting the silence frequency corresponding to the maximum evaluation value as the optimal working frequency of the high-frequency ground wave radar;
the evaluation value is an evaluation result of each silence frequency value based on radar scattering area characteristics, short wave electromagnetic wave attenuation characteristics along sea surface propagation along distance and noise average power.
2. The composite multifactor high frequency ground wave radar synthesis frequency selection method of claim 1,
the electromagnetic environment frequency spectrum is obtained after the high-frequency ground wave radar passively receives the environment electromagnetic signals in the working frequency range.
3. The method for selecting synthetic frequency of a composite multifactor high frequency ground wave radar according to claim 2, wherein the method for obtaining the noise mean power comprises:
obtaining a logarithm power spectrum { P) after taking logarithm of the electromagnetic environment frequency spectrum dB (f)},{f}∈[f min ,f max ]Where { f } is the set of operating frequencies, f min At minimum operating frequency, f max Is the maximum operating frequency;
logarithmic power spectrum { P ] using equiripple Chebyshev low-pass filter dB (f) Carry out low-pass filtering to obtain the average power X of the noise n (f):
X n (f)=H(P dB (f)),
Where H (-) denotes an equiripple Chebyshev low-pass filter.
4. The composite multifactor high frequency ground wave radar synthesis frequency selection method of claim 3,
the method for obtaining the silent frequency set of the high-frequency ground wave radar comprises the following steps:
setting the interference threshold of the radio station as T, then the frequency set of the radio station interference { f i The method is as follows:
{f i }={f i :P d B (f i )≥X n (f i )+T},f i ∈[f min ,f max ],
frequency set { f) interfered by station i Supplementing the working frequency set { f } to obtain a silence frequency set { f } j }:
{f j }={f}\{f i }。
5. The composite multifactor high frequency ground wave radar integrated frequency selection method of claim 4,
when the optimization principle of the farthest distance range is selected, the obtained optimal working frequency f optimal Comprises the following steps:
Figure FDA0003609975480000021
in the formula { eta (f) j ) Is the set of silence frequencies f j The corresponding evaluation value set, R is the distance, R max At the maximum distance, σ (f) j ) Const represents a constant for the radar scattering area characteristic.
6. The composite multifactor high frequency ground wave radar synthesis frequency selection method of claim 4,
the optimal operating frequency f obtained when the optimization principle of the optimal target finding is selected optimal Comprises the following steps:
Figure FDA0003609975480000022
in the formula R 0 To set the optimum distance.
7. The composite multifactor high frequency ground wave radar complex frequency selection method of claims 5 or 6 characterized by a set of evaluation values { η (f) j ) The obtaining method comprises the following steps:
η(f j )=4E(f j ,R)-20log 10 (f j )+σ(f j )-X n (f j ),
in the formula E (f) j And R) is the attenuation characteristic of short-wave electromagnetic wave along sea surface propagation along distance.
8. The composite multifactor high frequency ground wave radar synthesis frequency selection method of claim 3,
the parameters of the equal ripple Chebyshev low-pass filter include: the cut-off frequency of the pass band is 2Hz, the attenuation of the stop band is 20dB, and the ripple in the band is 1dB.
9. The composite multifactor high frequency ground wave radar synthesis frequency selection method of claim 4,
the station interference threshold T is chosen to be 5dB.
10. The method as claimed in claim 5 or 6, wherein the radar scattering area characteristic σ (f) is j ) Determined by user settings or by calculation of the results of electromagnetic modeling of the selected target.
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CN103033797A (en) * 2012-12-17 2013-04-10 西安电子工程研究所 Metrewave radar self-adaption frequency selection method based on spatial filtering
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