CN109884337A - A method of wind direction of ocean surface is detected using high-frequency ground wave radar - Google Patents

A method of wind direction of ocean surface is detected using high-frequency ground wave radar Download PDF

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CN109884337A
CN109884337A CN201910162632.0A CN201910162632A CN109884337A CN 109884337 A CN109884337 A CN 109884337A CN 201910162632 A CN201910162632 A CN 201910162632A CN 109884337 A CN109884337 A CN 109884337A
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wind direction
extra large
state unit
bragg peak
large state
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CN109884337B (en
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董英凝
杨春奇
李鸿志
邓维波
张鑫
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Harbin Institute of Technology
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Abstract

The present invention provides a kind of methods using high-frequency ground wave radar detection wind direction of ocean surface, belong to high-frequency ground wave radar detection technology field, include the following steps, according to the beam direction angle theta of the wind direction of extra large state unit and radar emissionwAbsolute value | θw|, calculate the absolute value wait seek extra large state unit and with the wind direction of the multiple extra large state units adjacent wait seek extra large same distance element of state unit or so and place beam direction angle | θw|i, i=1,2 ..., m, wherein m is the total number wait seek extra large state unit and with the multiple wave beam sea state units adjacent wait seek extra large same distance element of state unit or so;And constitute a set C;Seek the linear function approachedAndCalculate the wind direction wait seek extra large state unit According to the positive-negative relationship of the k value, the judgement wind direction wait seek extra large state unit, obtain the wind direction value wait seek extra large state unit, compared with the prior art, influence the invention avoids conventional method due to external interference to a certain extra large state unit and lead to ambiguity solution Problem-Error, method is more effective, anti-interference is stronger.

Description

A method of wind direction of ocean surface is detected using high-frequency ground wave radar
Technical field
The present invention relates to high-frequency ground wave radar detection technology fields, in particular to a kind of to detect sea using high-frequency ground wave radar The method of face wind direction.
Background technique
High-frequency ground wave radar can break through the limitation of earth curvature, sight target below be detected, in radar return Often adulterate a large amount of interference and noise.Sea return is one of most important interference in higher-frequency radar target acquisition, it Energy is often very high, seriously affects the detection of target, copes with it and is inhibited;But on the other hand, sea return includes A large amount of extra large state information, be that extra large state inverting predominantly detects object.
A large amount of observed result shows that the mechanism of production of sea return can be explained by Bragg resonance principle, that is, works as height When frequency electromagnetic waves are irradiated on coarse sea, electromagnetic wave can interact with sea occurs strong scattering, to generate one Rank sea return.Theoretically, single order sea return can be formed a pair of symmetrical about zero-frequency on the frequency axis that radar return RD is composed Energy spikes, i.e. Bragg (Prague) peak, by calculate left and right Bragg peak-to-peak amplitude ratio, available Ocean Wind-field Wind direction information.
The inverting of wind direction includes two parts, extracts wind direction and radar by the peak positive and negative single order Bragg of sea return spectrum first The absolute value of squint;Then the ambiguity of wind direction is eliminated.Extract at present the method for wind direction and radar beam angle relative at It is ripe, but the method effect for eliminating wind direction ambiguity is all undesirable.In the existing method for eliminating wind direction ambiguity, including multi-beam Minimal difference method, the difference for drafting the wind direction measured on adjacent several extra large state units should be equal to zero after summation or be approximately equal to zero, But this method is very likely by the wind direction while ambiguity solution mistake of adjacent several extra large state units;It further include using wait seek extra large state list The size relation of the angle of member and the extra large state unit in the adjacent beams of left and right and wind direction judges wait ask the wind direction of extra large state unit can It can be worth, but this method anti-interference is not strong, when wait ask extra large state unit and wind direction angle or adjacent beams sea state unit and wind Any one into angle, which is measured, staggers the time, it may appear that ambiguity solution Problem-Error.
Summary of the invention
In view of this, the present invention is directed to propose it is a kind of using high-frequency ground wave radar detection wind direction of ocean surface method, including with Lower step:
Step 1, according to the beam direction angle theta of the wind direction of extra large state unit and radar emissionwAbsolute value | θw|, calculate to Ask extra large state unit and with the wind direction of adjacent wait seek extra large same distance element of state unit or so multiple extra large state units and place wave beam side To the absolute value of angle | θw|i, i=1,2 ..., m, wherein m be wait ask extra large state unit and with wait seek the extra large same distance element of state unit The total number of the adjacent multiple wave beam sea state units in left and right;
Step 2, by step 1 obtain described in wait ask extra large state unit and with it is adjacent wait seek extra large same distance element of state unit or so Multiple extra large state units wind direction and place beam direction angle absolute value | θw|i, i=1,2 ..., m constitutes a set C;
Step 3, the set C obtained according to step 2, seeks the linear function approachedWherein For Wave beam number,For the wind direction of corresponding wave beam Shanghai state unit and the absolute value of beam direction angle, k is slope and k is not that 0, b is Intercept;
Step 4, the wind direction wait seek extra large state unit is calculatedAndWherein,To be described wait seek extra large state The wind direction of unit,For the direction wait wave beam where seeking extra large state unit, | θw|nFor the wind direction wait seek extra large state unit with The absolute value of place beam direction angle, ± represent the uncertainty of wind direction;;
Step 5, the positive-negative relationship of the k value obtained according to step 3, wait seek extra large state unit described in judgment step 4 Wind direction obtains the wind direction value wait seek extra large state unit.
Preferably, judging the wind direction wait seek extra large state unit in step 5 and obtaining the wind direction wait seek extra large state unit The method of value is as follows:
If k > 0, and when the angle of wave beam is sequentially increased, which isWork as wave beam Angle when being sequentially reduced, which is
If k < 0, when the angle of wave beam is sequentially increased, which isWhen wave beam When angle is sequentially reduced, judge that the sea state unit wind direction value is
Wherein the angle of the wave beam increases or reduces, with described wait ask the beam direction where extra large state unit for ginseng It examines, is to increase in the angle of its clockwise wave beam, be to reduce in the angle of its anticlockwise wave beam.
Preferably, the absolute value of the beam direction angle of the wind direction and radar emission of the unit of sea state described in step 1 | θw| Step obtains by the following method:
Step 11, according to the working frequency of radar, and theoretical Bragg frequency f is calculated by formula 2B, the formula 2 is
Wherein f0For the working frequency of radar;
Step 12, according to the wavelength of radar emission electromagnetic wave, and pass through the maximum value Δ f of the calculating frequency deviation of formula 3m, described Formula 3 is
Wherein λ is the wavelength of radar emission electromagnetic wave, VmFor the maximum value of ocean current radial flow speed;
Step 13, according to the maximum value Δ f of Prague frequency deviation acquired in step 12mWith theory cloth obtained in step 11 Glug frequency fB, determine the search range of single order bragg peak;
Step 14, positive single order bragg peak and negative one are determined in the search range of the single order bragg peak described in step 13 Rank bragg peak;
Step 15, positive single order bragg peak and negative one rank bragg peak amplitude ratio R, the formula 4 are calculated according to formula 4 For
Wherein B+Be positive the range value of single order bragg peak, B-Be negative the range value of single order bragg peak.
Step 16, the positive single order bragg peak and negative one rank bragg peak Amplitude Ratio obtained according to formula 5 and step 15 Value R, obtains | θw|=2arctan [10R/(10s)], the formula 5 is R=10lg [tans(|θw|/2)], wherein s be extension because Son, represents degree of scatter of the wave about wind direction, and the value range of s is [2,16].
Preferably, the maximum value V of ocean current radial flow speed described in step 12mIt is passed through by the extra large state data in radar detection sea area Test acquisition.
Preferably, the search range of single order bragg peak described in step 13, the search model including positive single order bragg peak The search range with negative one rank bragg peak is enclosed, and the search range of the positive single order bragg peak is [fB-Δfm,fB+Δ fm], the search range of the negative one rank bragg peak is [- fB-Δfm,-fB+Δfm]。
Preferably, positive single order bragg peak and negative one rank bragg peak described in step 14 determine in the following manner, Amplitude maxima is taken respectively in the search range of the positive single order bragg peak and the search range of the negative one rank bragg peak Point is used as the positive single order bragg peak and the negative one rank bragg peak.
Preferably, calculating the linear function approached described in step 4 according to formula 7In k value and b value, institute Stating formula 7 isWherein ajFor the coefficient of approximating function to be asked, and a1=k, a0=b.
Preferably, X in the formula 7jlAnd Yl, it is obtained by formula 8, the formula 8 is as follows:
WhereinWithFor selected linear independence function, xiFor the wave beam number where i-th of extra large state unit, yiFor xthiExtra large state list on wave beam The wind direction of member and the absolute value of beam direction angle | θw|i, XjlFor the linear independence function on m pointWith's The sum of products, YlFor on m pointAnd yiThe sum of products.
Compared with conventional method, the present invention solves wind direction value using the data information on the adjacent multiple extra large state units in left and right, A kind of method using high-frequency ground wave radar detection wind direction of ocean surface is provided, avoids conventional method since external interference is to a certain The influence of extra large state unit and lead to ambiguity solution Problem-Error, method is more effective, anti-interference is stronger.
Detailed description of the invention
The attached drawing for constituting a part of the invention is used to provide further understanding of the present invention, schematic reality of the invention It applies example and its explanation is used to explain the present invention, do not constitute improper limitations of the present invention.In the accompanying drawings:
Fig. 1 is a kind of method flow diagram that wind direction of ocean surface is detected using high-frequency ground wave radar in the present invention;
Fig. 2 is the doppler echo spectrogram of the 47th range gate of the 4th wave beam in the embodiment of the present invention 1;
Fig. 3 is that wind direction of the 4th wave beam the 47th apart from gate cell solves schematic diagram in the embodiment of the present invention 1;
Fig. 4 is wind direction inversion result schematic diagram in the embodiment of the present invention 1;
Fig. 5 is the doppler echo spectrogram of the 30th range gate of the 4th wave beam in the embodiment of the present invention 2;
Fig. 6 is that wind direction of the 4th wave beam the 30th apart from gate cell solves schematic diagram in the embodiment of the present invention 2;
Fig. 7 is wind direction inversion result schematic diagram in the embodiment of the present invention 2.
Specific embodiment
The present invention will be described in detail below with reference to the accompanying drawings and embodiments.
The present invention is based in a fritter sea area wind direction be this identical or gradual rule, provide and a kind of utilize high frequency The method that ground wave radar detects wind direction of ocean surface, will be wait seek the adjacent multiple wave beam sea state units of extra large state unit and same distance element or so The absolute value of upwind and beam direction angle constitutes a set, approximating function is sought, according to the changing rule of approximating function Wind direction is fuzzy to obtain true wind direction eliminating, specifically includes the following steps:
Step 1, according to the beam direction angle theta of the wind direction of extra large state unit and radar emissionwAbsolute value | θw|, calculate to Ask extra large state unit and with the wind direction of adjacent wait seek extra large same distance element of state unit or so multiple extra large state units and place wave beam side To the absolute value of angle | θw|i, i=1,2 ..., m, wherein m be wait ask extra large state unit and with wait seek the extra large same distance element of state unit The total number of the adjacent multiple wave beam sea state units in left and right;
Step 2, by step 1 obtain described in wait ask extra large state unit and with it is adjacent wait seek extra large same distance element of state unit or so Multiple extra large state units wind direction and place beam direction angle absolute value | θw|i, i=1,2 ..., m constitutes a set C;
Step 3, the set C obtained according to step 2, seeks the linear function approachedWherein For Wave beam number,For the wind direction of corresponding wave beam Shanghai state unit and the absolute value of beam direction angle, k is slope and k is not that 0, b is Intercept;
Step 4, the wind direction wait seek extra large state unit is calculatedAndWherein,To be described wait seek extra large state The wind direction of unit,For the direction wait wave beam where seeking extra large state unit, | θw|nFor the wind direction wait seek extra large state unit with The absolute value of place beam direction angle, ± represent the uncertainty of wind direction, i.e., when wind direction of ocean surface isWithWhen, radar observation to single order sea return be identical;
Step 5, the positive-negative relationship of the k value obtained according to step 3, wait seek extra large state unit described in judgment step 4 Wind direction obtains the wind direction value wait seek extra large state unit.
Wherein, the absolute value of the beam direction angle of the wind direction and radar emission of the unit of sea state described in step 1 | θw| it is logical Cross the acquisition of following methods step:
Step 11, according to the working frequency of radar, and theoretical Bragg frequency f is calculated by formula 2B, the formula 2 is
Wherein f0For the working frequency of radar;
Step 12, according to the wavelength of radar emission electromagnetic wave, and pass through the maximum value Δ f of the calculating frequency deviation of formula 3m, described Formula 3 is
Wherein λ is the wavelength of radar emission electromagnetic wave, VmFor the maximum value of ocean current radial flow speed, and the ocean current radial flow The maximum value V of speedmIt is obtained by the extra large state data experience in radar detection sea area;And frequency deviation represents practical bragg peak relative to reason Frequency deviation will not occur, when the radial velocity of ocean current is not 0 when the radial velocity of ocean current is 0 by the offset amplitude of bragg peak When, then frequency deviation can occur.
Step 13, according to the maximum value Δ f of Prague frequency deviation acquired in step 12mWith theory cloth obtained in step 11 Glug frequency fB, determine the search range of single order bragg peak, and the search range of the single order bragg peak includes positive single order The search range of bragg peak and the search range of negative one rank bragg peak, the search range of the positive single order bragg peak are [fB-Δfm,fB+Δfm], the search range of the negative one rank bragg peak is [- fB-Δfm,-fB+Δfm];
Step 14, positive single order bragg peak and negative one are determined in the search range of the single order bragg peak described in step 13 Rank bragg peak divides that is, in the search range of the positive single order bragg peak and the search range of the negative one rank bragg peak Do not take Amplitude maxima point as the positive single order bragg peak and the negative one rank bragg peak;The wherein positive single order Bradley Lattice peak correspond to towards radar direction wave, the negative one rank bragg peak correspond to far from radar direction wave, two The size of the intensity of bragg peak reflects wind direction, when the intensity of positive single order bragg peak is greater than the intensity of negative one rank bragg peak When, wind direction is shown as backwards to beam direction, then shows as wind direction on the contrary along beam direction, when the intensity at two peaks is identical, wind direction Perpendicular to wave beam.
Step 15, positive single order bragg peak and negative one rank bragg peak amplitude ratio R are calculated according to formula 4, wherein R is dB Format, the formula 4 are
Wherein B+Be positive the range value of single order bragg peak, B-Be negative the range value of single order bragg peak.
Step 16, the positive single order bragg peak and negative one rank bragg peak Amplitude Ratio obtained according to formula 5 and step 15 Value R, obtains | θw|=2arctan [10R/(10s)], the formula 5 is R=10lg [tans(|θw|/2)], wherein s be extension because Son represents degree of scatter of the wave about wind direction, and the value range of s is [2,16], and preferred value is 4 in the present embodiment.
The linear function wherein approached described in step 3In k value and b value obtained by formula 7, the public affairs Formula 7 isWherein ajFor the coefficient of approximating function to be asked, and a1=k, a0=b, in the formula 7 XjlAnd Yl, it is obtained by formula 8, the formula 8 is as follows:
WhereinWithFor selected linear independence function, xiFor the wave beam number where i-th of extra large state unit, yiFor xthiExtra large state list on wave beam The wind direction of member and the absolute value of beam direction angle | θw|i, XjlFor the linear independence function on m pointWith's The sum of products, YlFor on m pointAnd yiThe sum of products.
To sum up, if k > 0, angle absolute value between true wind direction and each wave beam | θw|i, i=1,2 ..., m present by Cumulative big trend, when the angle of wave beam is sequentially increased, which isI.e.When the angle of wave beam is sequentially reduced, which is I.e.
If k < 0, angle absolute value between true wind direction and each wave beam | θw|i, i=1,2 ..., m presentation gradually subtracts Small trend, when the angle of wave beam is sequentially increased, which isI.e.When the angle of wave beam is sequentially reduced, which isI.e.
Wherein the angle of the wave beam increases or reduces, with described wait ask the beam direction where extra large state unit for ginseng It examines, is to increase in the angle of its clockwise wave beam, be to reduce in the angle of its anticlockwise wave beam.
Therefore, the present invention solves wind direction value using the data information on the adjacent multiple extra large state units in left and right, provides one kind Using the method for high-frequency ground wave radar detection wind direction of ocean surface, conventional method is avoided since external interference is to a certain extra large state unit It influences and leads to ambiguity solution Problem-Error, method is more effective, anti-interference is stronger.
Embodiment 1
Certain batch data that the data source Mr. Yu's radar experiment centre used in the present embodiment was acquired on November 2nd, 2018, Wherein the tranmitting frequency of radar is 8.4MHz, and wave number is 7.
In the doppler echo spectrogram of the 47th range gate of the 4th wave beam of Fig. 2, * point is labelled with the position at the peak Bragg, while can Obtain the range value at the positive and negative peak Bragg.
Shadow region unit B represents the 4th wave beam the 47th apart from gate cell in Fig. 3, i.e., wait seek extra large state unit, shadow region is single First A represents the 3rd wave beam the 47th apart from gate cell, and shadow region unit C represents the 5th wave beam the 47th apart from gate cell, wave beam a, b and The angular dimension relationship of c isAnd acquire the positive and negative single order p-ratio R of A, B and C tri- extra large state unitsA、RBAnd RC Respectively -6.4, -8.9, -10.6, the angle absolute value of the wind direction and wave beam a, b and c of A, B and C tri- extra large state units | θA|、|θB |、|θC| it is respectively 69.4 degree, 61.6 degree, 57.1 degree, thus obtained approximating function isK < 0 at this time, Illustrate that the angle absolute value between the extra large state unit wind directions of A, B and C tri- and wave beam a, b and c is presented the trend being gradually reduced, and wave Beam angle degreeThe wind direction value for obtaining the sea state unit is
Usual wind direction refers to the direction of wind, as seen in Figure 4, the resulting wind direction of different sea state unit invertings it is identical or Close, substantially southwester is also consistent with the weather forecast on the same day.
Embodiment 2
Certain batch data that the data source Mr. Yu's radar experiment centre used in the present embodiment was acquired on November 5th, 2018, Wherein the tranmitting frequency of radar is 5.1MHz, and wave number is 7.
In the doppler echo spectrum of the 30th range gate of the 4th wave beam of Fig. 5, * point is labelled with the position at the peak Bragg, while can obtain To the range value at the positive and negative peak Bragg.
The shadow region Fig. 6 unit B represents the 4th wave beam the 30th apart from gate cell, i.e., wait ask extra large state unit, shadow region unit A represents the 3rd wave beam the 30th apart from gate cell, and shadow region unit C represents the 5th wave beam the 30th apart from gate cell, wave beam a, b and c Angular dimension relationship beAnd acquire the positive and negative single order p-ratio R of A, B and C tri- extra large state unitsA、RBAnd RC Respectively 14.5,16.6,20.7, A, the angle absolute value of the wind direction and wave beam a, b and c of B and C tri- extra large state units | θA|、|θB |、|θC| it is respectively 133.1 degree, 137.8 degree, 146.2 degree, thus obtained approximating function isK > at this time 0, illustrate that the angle absolute value of the extra large state unit wind directions of A, B and C tri- and wave beam a, b and c are presented the trend being gradually increased, and wave beam AngleThe wind direction value for obtaining the sea state unit is
Usual wind direction refers to the direction of wind, as seen in Figure 7, the resulting wind direction of different sea state unit invertings it is identical or Close, substantially north wind is also consistent with the weather forecast on the same day.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention Within mind and principle, any modification, equivalent replacement, improvement and so on be should all be included in the protection scope of the present invention.

Claims (8)

1. a kind of method using high-frequency ground wave radar detection wind direction of ocean surface, which comprises the following steps:
Step 1, according to the beam direction angle theta of the wind direction of extra large state unit and radar emissionwAbsolute value | θw|, it calculates wait ask sea It state unit and is pressed from both sides with the wind direction of adjacent wait seek extra large same distance element of state unit or so multiple extra large state units and place beam direction The absolute value at angle | θw|i, i=1,2 ..., m, wherein m be wait ask extra large state unit and with wait seek extra large same distance element of state unit or so The total number of adjacent multiple wave beam sea state units;
Step 2, by step 1 obtain described in wait seek extra large state unit and with described wait ask extra large same distance element of state unit or so adjacent Multiple extra large state units wind direction and place beam direction angle absolute value | θw|i, i=1,2 ..., m constitutes a set C;
Step 3, the set C obtained according to step 2, seeks the linear function approachedWherein For wave beam Number,For the wind direction of corresponding wave beam Shanghai state unit and the absolute value of beam direction angle, k is slope and k be not 0, b is to cut Away from;
Step 4, the wind direction wait seek extra large state unit is calculated Wherein,To be described wait seek extra large state unit Wind direction,For the direction wait wave beam where seeking extra large state unit, | θw|nFor the wind direction wait seek extra large state unit and place wave The absolute value of beam angular separation, ± represent the uncertainty of wind direction;
Step 5, the positive-negative relationship of the k value obtained according to step 3, wait seek the wind direction of extra large state unit described in judgment step 4, Obtain the wind direction value wait seek extra large state unit.
2. the method according to claim 1 using high-frequency ground wave radar detection wind direction of ocean surface, which is characterized in that step 5 Wait seek the wind direction of extra large state unit and obtain described wait ask the method for the wind direction value of extra large state unit as follows described in middle judgement:
If k > 0, and when the angle of wave beam is sequentially increased, which isWhen the angle of wave beam When degree is sequentially reduced, which is
If k < 0, when the angle of wave beam is sequentially increased, which isWhen the angle of wave beam When being sequentially reduced, judge that the sea state unit wind direction value is
Wherein the angle of the wave beam increases or reduces, with described wait ask the beam direction where extra large state unit for reference, The angle of its clockwise wave beam is to increase, and is to reduce in the angle of its anticlockwise wave beam.
3. the method according to claim 1 using high-frequency ground wave radar detection wind direction of ocean surface, which is characterized in that step 1 Described in sea state unit wind direction and radar emission beam direction angle absolute value | θw| step obtains by the following method:
Step 11, according to the working frequency of radar, and theoretical Bragg frequency f is calculated by formula 2B, the formula 2 is
Wherein f0For the working frequency of radar;
Step 12, according to the wavelength of radar emission electromagnetic wave, and pass through the maximum value Δ f of the calculating frequency deviation of formula 3m, the formula 3 For
Wherein λ is the wavelength of radar emission electromagnetic wave, VmFor the maximum value of ocean current radial flow speed;
Step 13, according to the maximum value Δ f of Prague frequency deviation acquired in step 12mWith theory Prague obtained in step 11 Frequency fB, determine the search range of single order bragg peak;
Step 14, positive single order bragg peak and negative one rank cloth are determined in the search range of the single order bragg peak described in step 13 Glug peak;
Step 15, positive single order bragg peak and negative one rank bragg peak amplitude ratio R are calculated according to formula 4, the formula 4 is
Wherein B+Be positive the range value of single order bragg peak, B-Be negative the range value of single order bragg peak.
Step 16, the positive single order bragg peak and negative one rank bragg peak amplitude ratio R obtained according to formula 5 and step 15, Obtain | θw|=2arctan [10R/(10s)], the formula 5 is R=10lg [tans(|θw|/2)], wherein s is spreading factor, generation Degree of scatter of the table wave about wind direction, the value range of s are [2,16].
4. the method according to claim 3 using high-frequency ground wave radar detection wind direction of ocean surface, which is characterized in that step 12 Described in ocean current radial flow speed maximum value VmIt is obtained by the extra large state data experience in radar detection sea area.
5. the method according to claim 4 using high-frequency ground wave radar detection wind direction of ocean surface, which is characterized in that step 13 Described in single order bragg peak search range, search range and negative one rank bragg peak including positive single order bragg peak are searched Rope range, and the search range of the positive single order bragg peak is [fB-Δfm,fB+Δfm], the negative one rank bragg peak Search range is [- fB-Δfm,-fB+Δfm]。
6. the method according to claim 5 using high-frequency ground wave radar detection wind direction of ocean surface, which is characterized in that step 14 Described in positive single order bragg peak and negative one rank bragg peak determine in the following manner, in searching for the positive single order bragg peak Take Amplitude maxima point as described positive single order Prague in the search range of rope range and the negative one rank bragg peak respectively Peak and the negative one rank bragg peak.
7. the method according to claim 1 using high-frequency ground wave radar detection wind direction of ocean surface, which is characterized in that according to public affairs Formula 7 calculates the linear function approached described in step 3In k value and b value, the formula 7 isWherein ajFor the coefficient of approximating function to be asked, and a1=k, a0=b.
8. the method according to claim 7 using high-frequency ground wave radar detection wind direction of ocean surface, which is characterized in that the public affairs X in formula 7jlAnd Yl, it is obtained by formula 8, the formula 8 is as follows:
WhereinWithFor selected linear independence function, xiFor the wave beam number where i-th of extra large state unit, yiFor xthiExtra large state list on wave beam The wind direction of member and the absolute value of beam direction angle | θw|i,XjlFor the linear independence function on m pointWith's The sum of products, YlFor on m pointAnd yiThe sum of products.
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CN113391287A (en) * 2021-06-10 2021-09-14 哈尔滨工业大学 High-frequency ground wave radar sea state data fusion method based on time sequence
CN113466854A (en) * 2021-06-29 2021-10-01 哈尔滨工业大学 High-frequency ground wave radar inversion vector flow velocity method based on ocean power model
CN115267717A (en) * 2022-07-29 2022-11-01 哈尔滨工业大学 Wind direction included angle inversion method, ambiguity resolution method, storage medium and equipment

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