CN111537948B - ESPRIT algorithm-based angle estimation method for separated long electric dipole - Google Patents
ESPRIT algorithm-based angle estimation method for separated long electric dipole Download PDFInfo
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- CN111537948B CN111537948B CN202010281954.XA CN202010281954A CN111537948B CN 111537948 B CN111537948 B CN 111537948B CN 202010281954 A CN202010281954 A CN 202010281954A CN 111537948 B CN111537948 B CN 111537948B
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- 238000000034 method Methods 0.000 title claims abstract description 15
- 239000013598 vector Substances 0.000 claims abstract description 9
- 230000010363 phase shift Effects 0.000 claims abstract description 4
- 230000010287 polarization Effects 0.000 abstract description 7
- 230000008878 coupling Effects 0.000 abstract 1
- 238000010168 coupling process Methods 0.000 abstract 1
- 238000005859 coupling reaction Methods 0.000 abstract 1
- 230000005855 radiation Effects 0.000 description 3
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO 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
- G01S3/00—Direction-finders for determining the direction from which infrasonic, sonic, ultrasonic, or electromagnetic waves, or particle emission, not having a directional significance, are being received
- G01S3/02—Direction-finders for determining the direction from which infrasonic, sonic, ultrasonic, or electromagnetic waves, or particle emission, not having a directional significance, are being received using radio waves
- G01S3/74—Multi-channel systems specially adapted for direction-finding, i.e. having a single antenna system capable of giving simultaneous indications of the directions of different signals
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- Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Radar, Positioning & Navigation (AREA)
- Remote Sensing (AREA)
- Geophysics And Detection Of Objects (AREA)
Abstract
The invention discloses an ESPRIT algorithm-based angle estimation method for a separated long electric dipole, which comprises the following steps: A. establishing a signal model; B. obtaining a high-precision estimation value of the y-axis direction by using ESPRIT; C. obtaining a high-precision estimated value of the x-axis direction by using the ratio of two identical polarized array elements in the x-axis direction; D. compensating the space phase shift factors of three array elements by utilizing the high-precision estimated fuzzy value so as to obtain three orthogonal concentric guide vectors, and further calculating to obtain rough estimated values of azimuth and pitching; E. fitting the coarse estimation value and the fine estimation value, and searching the minimum error value can obtain the real estimation value, and the invention has the following advantages: (1) There is no need to know a priori knowledge of angle or polarization in advance. (2) the influence of the separated mutual coupling is small. (3) the split array structure may be arbitrary. (4) The array element distance is far larger than half wavelength, namely the aperture is large and the estimation accuracy is high. And (5) search is not needed, and the calculated amount is small.
Description
Technical Field
The invention relates to the technical field of angle estimation algorithms, in particular to an ESPRIT algorithm-based angle estimation method for a separated long electric dipole.
Background
Most of the existing angle estimation algorithms are parameter estimation algorithms based on the conditions of short electric dipoles and small magnetic rings, but the radiation efficiency of the short electric dipoles and the small magnetic rings is low; the existing parameter estimation algorithm based on the conditions of a long electric dipole and a large magnetic ring needs to know polarization information in advance to estimate the two-dimensional angle of a target, and the implementation of the algorithm in the radar application field is seriously influenced.
The polarization diversity can be improved due to the polarization sensitive array, so that the parameter estimation precision of the target can be improved. The problem of estimating the polarization parameters based on the angle of the polarization sensitive array has been widely studied. The existing parameter estimation method based on the condition of the short electric dipole and the small magnetic ring comprises various estimation algorithms under the condition of a co-point electromagnetic vector sensor, various estimation algorithms under the condition of a separated electromagnetic vector sensor and various estimation algorithms based on sparse representation under the condition of the co-point type electromagnetic vector sensor and the separated electromagnetic vector sensor, but the radiation efficiency of the short electric dipole and the small magnetic ring is low.
Disclosure of Invention
The invention aims to provide an ESPRIT algorithm-based angle estimation method for a separated long electric dipole, so as to solve the problems in the prior art.
In order to achieve the above purpose, the present invention provides the following technical solutions:
an ESPRIT algorithm-based angle estimation method for a separated long electric dipole comprises the following steps:
A. establishing a signal model;
B. obtaining a high-precision estimation value of the y-axis direction by using ESPRIT;
C. obtaining a high-precision estimated value of the x-axis direction by using the ratio of two identical polarized array elements in the x-axis direction;
D. compensating the space phase shift factors of three array elements by utilizing the high-precision estimated fuzzy value so as to obtain three orthogonal concentric guide vectors, and further calculating to obtain rough estimated values of azimuth and pitching;
E. fitting the coarse estimation value and the fine estimation value, and searching the minimum error value can obtain the real estimation value.
As a further technical scheme of the invention: and B, obtaining an estimated value in the step which is a fuzzy estimated value.
As a further technical scheme of the invention: and C, obtaining an estimated value in the step which is a fuzzy estimated value.
As a further technical scheme of the invention: the signal model in the step A is a tri-orthogonal long electric dipole array.
As a further technical scheme of the invention: the three orthogonal long electric dipole array consists of 8 electric dipoles.
As a further technical scheme of the invention: the three-orthogonal long electric dipole array is provided with two groups of separated three-orthogonal electric dipoles, which are respectively marked as follows: ex, ey and Ez, wherein the first set of three couplesThe coordinates of the positions of the poles are as follows: ex= (0, y a ,0)，Ey＝(0,y b ,0)，Ez＝(0,y c ,0)。
Compared with the prior art, the invention has the beneficial effects that: the invention provides a method for estimating a two-dimensional angle of a target based on an ESPRIT algorithm aiming at an array formed by a long electric dipole and a large magnetic ring, so as to solve the problem that the existing algorithm can estimate the two-dimensional angle of the target only by knowing polarization information in advance. The array can be composed of 3 orthogonal long electric dipoles, or can be composed of three orthogonal large magnetic rings, or can be composed of mixed long electric dipoles and large magnetic rings. The array has eight array elements, 4 of which and the other 4 of which form rotation invariant characteristics, and can obtain precise estimation of two-dimensional direction cosine but with fuzzy values. And then the fuzzy rough estimation of the angle is obtained through back-pushing by a separated three-orthogonal vector sensor. Comparing the blurred fine estimation value with the blurred coarse estimation value to find a group of estimation values closest to the blurred fine estimation value and the blurred coarse estimation value, and taking out the fine estimation value as a two-dimensional angle estimation value of the target. The algorithm does not need searching, and the calculated amount is small. And the array element has high radiation efficiency.
Drawings
Fig. 1 is a block diagram of a tri-orthogonal long electric dipole array.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Referring to fig. 1, embodiment 1: an ESPRIT algorithm-based angle estimation method for a separated long electric dipole comprises the following steps:
A. establishing a signal model; the signal model is a tri-orthogonal long electric dipole array which consists of 8 electric dipoles, and the tri-orthogonal long electric dipole arrayTwo sets of separated three orthogonal electric dipoles are respectively marked as: ex, ey and Ez, wherein the first set of three electric dipoles has the following coordinates: ex= (0, y a ,0)，Ey＝(0,y b ,0)，Ez＝(0,y c ,0)；
B. Obtaining a high-precision estimation value of the y-axis direction by using ESPRIT;
C. obtaining a high-precision estimated value of the x-axis direction by using the ratio of two identical polarized array elements in the x-axis direction;
D. compensating the space phase shift factors of three array elements by utilizing the high-precision estimated fuzzy value so as to obtain three orthogonal concentric guide vectors, and further calculating to obtain rough estimated values of azimuth and pitching;
E. fitting the coarse estimation value and the fine estimation value, and searching the minimum error value can obtain the real estimation value.
Embodiment 2, based on embodiment 1, the split array structure is not limited to the structure of embodiment 1, and may be arbitrarily selected according to specific use requirements.
It will be evident to those skilled in the art that the invention is not limited to the details of the foregoing illustrative embodiments, and that the present invention may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. The present embodiments are, therefore, to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein. Any reference sign in a claim should not be construed as limiting the claim concerned.
Furthermore, it should be understood that although the present disclosure describes embodiments, not every embodiment is provided with a separate embodiment, and that this description is provided for clarity only, and that the disclosure is not limited to the embodiments described in detail below, and that the embodiments described in the examples may be combined as appropriate to form other embodiments that will be apparent to those skilled in the art.
Claims (6)
1. The split type long electric dipole angle estimation method based on the ESPRIT algorithm is characterized by comprising the following steps of:
A. establishing a signal model;
B. obtaining a high-precision estimation value of the y-axis direction by using ESPRIT;
C. obtaining a high-precision estimated value of the x-axis direction by using the ratio of two identical polarized array elements in the x-axis direction;
D. compensating the space phase shift factors of three array elements by utilizing the high-precision estimated fuzzy value so as to obtain three orthogonal concentric guide vectors, and further calculating to obtain rough estimated values of azimuth and pitching;
E. fitting the coarse estimation value and the fine estimation value, and searching the minimum error value can obtain the real estimation value.
2. The method for estimating the angle of the split long electric dipole based on the ESPRIT algorithm of claim 1, wherein the estimation obtained in the step B is a fuzzy estimation.
3. The method for estimating the angle of the split long electric dipole based on the ESPRIT algorithm of claim 1, wherein the estimation obtained in the step C is a fuzzy estimation.
4. The method for estimating the angle of the split type long electric dipole based on the ESPRIT algorithm of claim 1, wherein the signal model in the step a is a three orthogonal long electric dipole array.
5. The method for estimating the angle of split long electric dipoles based on the ESPRIT algorithm of claim 4 being characterized in that said tri-orthogonal long electric dipole array is comprised of 8 electric dipoles.
6. The method for estimating an angle of a split long electric dipole based on the ESPRIT algorithm of claim 4, wherein,the three-orthogonal long electric dipole array is provided with two groups of separated three-orthogonal electric dipoles, which are respectively marked as follows: ex, ey and Ez, wherein the first set of three electric dipoles has the following coordinates: ex= (0, y a ,0)，Ey＝(0,y b ,0)，Ez＝(0,y c ,0)。
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Citations (3)
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| WO2004049498A2 (en) * | 2002-11-22 | 2004-06-10 | Ben Gurion University | Smart antenna system with improved localization of polarized sources |
| CN103091671A (en) * | 2013-01-15 | 2013-05-08 | 西安电子科技大学 | Bidimensional wave arrival direction estimation method based on non-concentric electromagnetic vector array radar |
| CN103308884A (en) * | 2013-03-06 | 2013-09-18 | 西安电子科技大学 | Two-dimensional AoA (Angle of Arrival) estimation method based on separate electromagnetic vector sensor array |
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| WO2004049498A2 (en) * | 2002-11-22 | 2004-06-10 | Ben Gurion University | Smart antenna system with improved localization of polarized sources |
| CN103091671A (en) * | 2013-01-15 | 2013-05-08 | 西安电子科技大学 | Bidimensional wave arrival direction estimation method based on non-concentric electromagnetic vector array radar |
| CN103308884A (en) * | 2013-03-06 | 2013-09-18 | 西安电子科技大学 | Two-dimensional AoA (Angle of Arrival) estimation method based on separate electromagnetic vector sensor array |
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