CN112327257B - Space domain compensation method of motion MIMO system based on transmission signal correction - Google Patents
Space domain compensation method of motion MIMO system based on transmission signal correction Download PDFInfo
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- CN112327257B CN112327257B CN202011179585.XA CN202011179585A CN112327257B CN 112327257 B CN112327257 B CN 112327257B CN 202011179585 A CN202011179585 A CN 202011179585A CN 112327257 B CN112327257 B CN 112327257B
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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
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/28—Details of pulse systems
- G01S7/282—Transmitters
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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
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/28—Details of pulse systems
- G01S7/2813—Means providing a modification of the radiation pattern for cancelling noise, clutter or interfering signals, e.g. side lobe suppression, side lobe blanking, null-steering arrays
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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
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/35—Details of non-pulse systems
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
Abstract
The space domain compensation method of the motion MIMO system based on the transmitted signal correction solves the problem of poor space domain compensation effect of the MIMO system under the motion platform in the prior art, and belongs to the technical field of communication of the MIMO system. The invention comprises the following steps: s1, doppler frequency shift caused by array elements in a MIMO system under platform motion is obtained: taking the central position of the array as a reference origin, and for each array element n on the left side of the reference origin, doppler frequency shift caused by platform movement is f DL (n) for each element n on the right side of the reference origin, the Doppler shift due to the platform motion is f DR (n); s2, constructing a phase compensation factor by using the Doppler frequency shift obtained in the S1, and correcting the transmitting signals of each array element n by using the phase compensation factor. The method is used for compensating the transmitting pattern of the MIMO system under the moving platform, so that the pattern distortion is controlled to a small enough degree compared with the situation of a static platform.
Description
Technical Field
The invention relates to a space-domain compensation technology of a MIMO system under a motion platform, and belongs to the technical field of application of MIMO systems.
Background
MIMO (Multiple-Input Multiple-Output) systems are emerging electronic systems with great advantages over conventional phased array systems, such as better detection performance, higher directional resolution and estimation accuracy, and greater robustness in electronic countermeasure and multipath environments.
Existing MIMO systems are generally studied without considering the motion problem of the system, i.e. the doppler sensitivity problem is avoided. However, in practical application, many MIMO systems are installed on a motion platform, and the platform speed is higher and the mobility is more flexible. Platform motion has a large impact on the performance of MIMO systems, with a large degradation compared to a stationary platform (ideal). For example, the target generates serious airspace crossing (divergence, offset and broadening) effect, so that the system transmission pattern generates larger wastage, and the system search-tracking performance is reduced.
Therefore, for the MIMO system installed under the motion platform, the motion effect is compensated, so that the spatial characteristics of the system are kept the same as those of the system under the static state. At present, little research is being conducted on the spatial compensation technology of the MIMO system under the motion platform, and no effective method is available.
Disclosure of Invention
Aiming at the problem of poor spatial compensation effect on a MIMO system under a motion platform in the prior art, the invention provides a motion MIMO system spatial compensation method based on transmission signal correction.
The invention discloses a motion MIMO system space-domain compensation method based on transmission signal correction, which comprises the following steps:
s1, doppler frequency shift caused by array elements in a MIMO system under platform motion is obtained:
taking the central position of the array as a reference origin, and for each array element n on the left side of the reference origin, doppler frequency shift caused by platform motion is as follows:
wherein C is the speed of light, f is the working frequency, the distance between the reference origin and the target is R, and the included angle between the connecting line of the reference origin and the target and the array is theta 0 The projection of the motion speed of the platform in the array direction is v,n is the number of array elements, N is an even number, and the intervals of the array elements are d;
for each array element n on the right side of the reference origin, the Doppler shift caused by the platform motion is as follows:
wherein U (N) = (N-2N-1) d/2;
s2, constructing a phase compensation factor by using the Doppler frequency shift obtained in the S1, and correcting the transmitting signals of each array element n by using the phase compensation factor.
Preferably, the corrected emission signal in S2 is:
s′ n (k)＝s n (k)c n (k)
wherein s is n (k) Representing the transmitted signal of array element n at the kth time, c n (k) As the phase compensation factor, the phase compensation factor corresponding to each array element n on the left side of the reference originPhase compensation factors corresponding to the array elements n on the right side of the reference origin>Each array element transmits signals at K different moments, wherein K is more than or equal to 1 and less than or equal to K.
Preferably, S2 further includes:
by s' n (k) Obtaining a cross-correlation function matrix R '(l) of the corrected transmitting signals, and obtaining R' (0);
obtaining a motion compensated transmit pattern F '(u) using R' (0):
F′(u)＝[a(u)] T R′(0)[a(u)] *
wherein, the liquid crystal display device comprises a liquid crystal display device, T representing a vector transpose operation, a (u) is an N-dimensional steering vector for a transmit array of a MIMO system, * representing a vector conjugate operation.
Preferably, the cross-correlation function matrix R' (l):
the value of the jth column element of row i of R '(l) is R' ij (l)：
Wherein s is i ' (m) represents the transmission signal of the ith array element at the mth moment after correction, i is more than or equal to 1 and less than or equal to N, s j And (m+l) represents the transmission signal of the jth array element at the mth+l moment after correction, wherein j is more than or equal to 1 and less than or equal to N.
Preferably, in S2, the element n transmits a signal at the kth time:
the invention has the beneficial effects that: the invention compensates the transmitting pattern of the MIMO system under the moving platform, so that the pattern distortion is controlled to a small enough degree compared with the situation of the static platform. The transmitting direction diagram of the MIMO system is determined by each transmitting number, and the invention realizes the motion compensation of the transmitting direction diagram by correcting each transmitting signal of the system. The method is easy to realize, can accurately correct the influence of the motion of the platform on the performance of the emission pattern, has smaller compensation residue, and can meet the practical application requirements. If there is a deviation in the known platform speed, the compensation remainder depends on the magnitude of the speed deviation.
Drawings
Fig. 1 is a schematic diagram of a transmitting array structure of a MIMO system;
FIG. 2 is a schematic diagram of the Doppler effect of array elements caused by platform motion;
fig. 3 is a flow chart of the spatial domain compensation method of the MIMO system according to the present invention.
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.
It should be noted that, without conflict, the embodiments of the present invention and features of the embodiments may be combined with each other.
The invention is further described below with reference to the drawings and specific examples, which are not intended to be limiting.
The spatial compensation method of the motion MIMO system based on the transmission signal correction in the embodiment is used for compensating the transmission pattern of the MIMO system under the motion platform, so that the pattern distortion is controlled to a small enough degree compared with the situation of a static platform. The invention models an array element in a MIMO system under a motion platform, takes the central position of the array as a reference origin, models the array element on the left side and the right side of the reference origin respectively, obtains Doppler frequency shift caused by the array element under the motion of the platform under the model, and specifically comprises the following steps:
taking the central position of the array as a reference origin, and for each array element N (N is more than or equal to 1 and less than or equal to N/2) on the left side of the reference origin, doppler frequency shift caused by platform motion is as follows:
wherein C is the speed of light, f is the working frequency, the distance between the reference origin and the target is R, and the included angle between the connecting line of the reference origin and the target and the array is theta 0 The projection of the motion speed of the platform in the array direction is v,n is the number of array elements, and the spacing of the array elements is d;
for each array element N (N/2+1 is not less than N is not more than N) on the right side of the reference origin, doppler frequency shift caused by platform movement is as follows:
wherein U (N) = (N-2N-1) d/2;
and constructing a phase compensation factor by using the obtained Doppler frequency shift, and correcting the transmitting signals of each array element n by using the phase compensation factor.
In this embodiment, the transmitting array of the MIMO system is a linear array, and the array structure is shown in fig. 1. The array element spacing is d, and N array elements are provided, wherein N is an even number. The sequence numbers of the array elements are shown in figure 1.
a (u) is an N-dimensional guiding vector of the transmitting array, wherein u=sinθ is a direction sine, θ is an included angle between the transmitting direction of the electromagnetic wave and the normal direction of the array, and
a(u)＝[1,e -j2πu/λ ,…,e -j2π(N-1)u/λ ] T (1)
where λ is the operating wavelength, and T represents the vector transpose operation.
In this embodiment, the transmission signal of the MIMO system is a phase-coded signal. Each array element transmits signals at K different moments, wherein K is a positive integer.
When the correction is not performed, the emission signal of the nth array element at the kth moment is
Wherein N is more than or equal to 1 and less than or equal to N, and K is more than or equal to 1 and less than or equal to K;
in the present embodiment, when motion compensation is not performed, the transmission pattern of the system is
F(u)＝[a(u)] T R(0)[a(u)] * (3)
Wherein, represents vector conjugation operation; r (0) is the value of the cross correlation function matrix R (l) of the N multiplied by N transmission signals when l=0, and the j-th element of the ith row of R (l) is R ij (l) Then
Wherein s is i (m) represents the transmission signal of the ith array element at the mth moment, i is not less than 1 and not more than N, s j And (m+l) represents the emission signal of the jth array element at the mth+l moment, wherein j is more than or equal to 1 and less than or equal to N.
In this embodiment, when the MIMO system moves, doppler shifts generated by different transmitting array elements are different, which is equivalent to introducing phase distortion, so that R (0) is disturbed, and the pattern is distorted. The doppler effect caused by the motion of the platform is shown in figure 2. Obtaining Doppler frequency shift f caused by each array element N (N is more than or equal to 1 and less than or equal to N/2) on the left side of a reference origin in the motion process of a platform DL (N) and obtaining Doppler frequency shift f caused by each array element N (N/2+1.ltoreq.n.ltoreq.N) on the right side of the reference origin in the motion process of the platform DR (n)；
In this embodiment, after the motion compensation, the transmission signal of the nth element at the kth time is corrected to
s′ n (k)＝s n (k)c n (k) (5)
Wherein c n (k) Is a phase compensation factor, and
when N is more than or equal to 1 and less than or equal to N/2,
when N/2+1 is not less than N and not more than N,
after the transmitting signals are corrected, doppler frequency difference of the transmitting signals of each array element caused by the motion of the platform can be counteracted, so that the motion compensation of the directional diagram can be realized.
The transmission pattern after motion compensation in this embodiment is
F′(u)＝[a(u)] T R′(0)[a(u)] * (6)
Where R '(0) is the value of the cross correlation function matrix R' (l) of the modified transmit signal in n×n dimensions when l=0. The value of the ith (1.ltoreq.i.ltoreq.N) row and the jth (1.ltoreq.j.ltoreq.N) column of R '(l) is R' ij (l) Then
Specific examples: as shown in fig. 3, the spatial compensation method of the motion MIMO system based on the transmission signal correction of the present embodiment includes the following steps:
step one: the transmitting array is an equidistant linear array, and the guiding vector of the transmitting array is obtained by a formula 1.
Step two: the transmitting signal used by the MIMO system is a phase coding signal, and the transmitting signal before correction is constructed by a formula 2;
step three: obtaining a cross-correlation function value of each array element transmitting signal according to a formula 4, and forming a cross-correlation function matrix R (l) to obtain an R (0) value;
step four, obtaining a transmitting direction diagram before motion compensation according to a formula 3;
fifthly, correcting the emission signal according to a formula 5;
step six, the cross-correlation function value of the corrected transmitting signals of each array element is obtained again by the formula 7 to form a corrected cross-correlation function matrix R '(l) to obtain R' (0), so that the disturbed R (0) is subjected to motion compensation;
and step seven, obtaining a transmission pattern after motion compensation according to a formula 6.
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 the different dependent claims and the features described herein may be combined in ways other than as described in the original claims. It is also to be understood that features described in connection with separate embodiments may be used in other described embodiments.
Claims (5)
1. The motion MIMO system space domain compensation method based on the transmission signal correction is characterized by comprising the following steps:
s1, doppler frequency shift caused by array elements in a MIMO system under platform motion is obtained:
taking the central position of the array as a reference origin, and for each array element n on the left side of the reference origin, doppler frequency shift caused by platform motion is as follows:
wherein C is the speed of light, f is the working frequency, the distance between the reference origin and the target is R, and the included angle between the connecting line of the reference origin and the target and the array is theta 0 The projection of the motion speed of the platform in the array direction is v,n is the number of array elements, N is set to be an even number, and the intervals of the array elements are d;
for each array element n on the right side of the reference origin, the Doppler shift caused by the platform motion is as follows:
wherein U (N) = (N-2N-1) d/2;
s2, constructing a phase compensation factor by using the Doppler frequency shift obtained in the S1, and correcting the transmitting signals of each array element n by using the phase compensation factor.
2. The spatial compensation method of a motion MIMO system based on transmission signal correction according to claim 1, wherein the corrected transmission signal in S2 is:
s′ n (k)＝s n (k)c n (k)
wherein s is n (k) Representing the transmitted signal of array element n at the kth time, c n (k) As the phase compensation factor, the phase compensation factor corresponding to each array element n on the left side of the reference originPhase compensation factors corresponding to the array elements n on the right side of the reference origin>Each array element transmits signals at K different moments, wherein K is more than or equal to 1 and less than or equal to K.
3. The method for spatial compensation of a motion MIMO system based on transmission signal correction according to claim 2, wherein S2 further comprises:
by s' n (k) Obtaining a cross-correlation function matrix R '(l) of the corrected transmitting signals, and obtaining R' (0);
the compensated emission pattern F '(u) is obtained using R' (0):
F′(u)＝[a(u)] T R′(0)[a(u)] *
wherein T represents a vector transpose operation, a (u) is an N-dimensional steering vector of a transmit array of the MIMO system, and x represents a vector conjugate operation.
4. A method for spatial compensation of a motion MIMO system based on correction of transmission signals as claimed in claim 3, wherein the cross-correlation function matrix R' (l):
the value of the jth column element of row i of R '(l) is R' ij (l)：
Wherein s is i ' (m) represents the transmission signal of the ith array element at the mth moment after correction, i is more than or equal to 1 and less than or equal to N, s j And (m+l) represents the transmission signal of the jth array element at the mth+l moment after correction, wherein j is more than or equal to 1 and less than or equal to N.
5. The spatial compensation method of a motion MIMO system based on transmission signal correction according to claim 4, wherein in S2, the transmission signal of element n at the kth time is:
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