CN113141202A - MIMO space non-stationary channel estimation method based on image contour extraction - Google Patents
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Abstract
A space non-stationary channel estimation method based on image contour extraction is characterized in that under a large-scale MIMO space non-stationary channel moving scene, after a received signal with a sparse angle delay domain is represented in an image form, the number of estimated paths, the angle and the time delay of each path are obtained by using an estimation algorithm of image contour extraction, after the received signal with the sparse space delay domain is represented in the image form, an effective visible region estimation corresponding to each channel path is obtained by using the estimation algorithm of image contour extraction, and therefore path gain and channel reconstruction are achieved; the invention utilizes the image contour extraction technology and the sparsity of the channel in the angle delay domain and the space delay domain to estimate the angle and the time delay of each path of the channel and the visual area which is not divided by subarrays, and replaces the traditional iterative optimization method to solve the problem of estimating the non-stationary channel in the space.
Description
Technical Field
The invention relates to a technology in the field of wireless communication, in particular to large-scale MIMO space non-stationary channel estimation based on an image contour extraction technology.
Background
Most of the existing channel estimation technologies proposed for the non-stationary characteristics of the space only relate to the situation that both ends of a receiving terminal and a transmitting terminal are stationary, but the calculation complexity of an algorithm and the scene of terminal movement are less concerned, and a method design capable of achieving a good balance between the performance and the calculation complexity is lacked. Meanwhile, in the prior art, for the non-stationary characteristic of the space, namely, the consideration of the visual area mostly depends on the sub-array division, and improper division setting inevitably causes matching errors, thereby causing the performance loss of the reconstructed channel.
Disclosure of Invention
The invention provides an MIMO space non-stationary channel estimation method based on image contour extraction, aiming at the problems that the performance and complexity of the prior art are unbalanced, the calculation time delay required by an actual mobile scene is difficult to meet, and the space non-stationary characteristic and the matching error are neglected, in a large-scale MIMO OFDM system, the angle and the time delay of each path of a channel and a visual area which is not dependent on sub-array division are estimated by using the image contour extraction technology and the sparsity of the channel in an angle time delay domain and a space time delay domain, and the traditional iterative optimization method is replaced to solve the problem of space non-stationary channel estimation.
The invention is realized by the following technical scheme:
the invention relates to a space non-stationary channel estimation method based on image contour extraction, which is characterized in that under a large-scale MIMO space non-stationary channel moving scene, after a received signal with a sparse angle delay domain is represented in an image form, the number of estimated paths, the angle and the time delay of each path are obtained by utilizing an estimation algorithm of the image contour extraction, after the received signal with the sparse space delay domain is represented in the image form, an effective visible region estimation corresponding to each channel path is obtained by utilizing the estimation algorithm of the image contour extraction, and therefore path gain and channel reconstruction are achieved.
The estimation algorithm for extracting the image contour specifically comprises the following steps:
1) when the two-dimensional coordinates (i, j) of any point pixel on the imageWhen the value is the outer boundary starting point, a marker NBD is set to NBD +1, the value of (i, j) and the updated NBD value are recorded, and a point (i, j-1) on the left of (i, j) is recorded as (i, j)2,j2) (ii) a Otherwise jump to step 6).
2) To (i)2,j2) Taking (i, j) as a center of a circle as a starting point, and detecting clockwise: when there is a non-zero pixel point in the upper, lower, left, and right neighborhoods, it is recorded as (i)1,j1) And update (i)2,j2)=(i1,j1) (i, j) is denoted as (i)3,j3) (ii) a Otherwise the point binarizes the pixel valueAnd jumps to step 6).
3) To (i)3,j3) As the center of circle, in (i)2,j2) The previous point which is the starting point is detected anticlockwise: center point (i)3,j3) When there are non-zero pixels above, below, left and right, it is recorded as (i)4,j4)。
4) When (i)3,j3+1) is the zero pixel point detected in step 3), then the binary pixel value of the pointWhen (i)3,j3+1) zero pixels not detected in step 3) and satisfyingThenOtherwiseThe value of (c) does not change.
5) When the outer boundary starting point of the current contour is searched, i4,j4) (ii) and (i, j)3,j3)=(i1,j1) If yes, jumping to the step 6); otherwise update (i)2,j2)=(i3,j3),(i3,j3)=(i4,j4) And jumps to step 3).
6) When the pixel value is binarized at the pointWhen it is time, the marker is updatedAnd starting to continue raster scanning detection from the pixel point (i, j +1) until the vertex of the lower right corner of the image is scanned.
Technical effects
The invention integrally solves the defects that the calculation complexity is too high in the prior art, the method cannot be suitable for a mobile scene and the matching error exists in the estimation of a visual area due to the dependence on sub-array division; compared with the prior art, the method has the advantages that the contour extraction algorithm in the image processing and the low-complexity pixel domain processing adopted by the contour extraction algorithm are utilized, so that the estimation and tracking of the spatial non-stationary channel in the mobile scene can be realized with low calculation complexity while the estimation performance is ensured.
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FIG. 1 is a diagram of a large-scale MIMO spatial non-stationary channel model scenario;
FIG. 2 is a color image and a gray scale image of a spatial non-stationary angular time-delay domain received signal;
FIG. 3 is a color image and a gray scale image of a spatially non-stationary spatial time delay domain received signal;
FIG. 4 is a flow chart of a spatial non-stationary channel estimation implementation based on image contour extraction;
FIG. 5 is a comparison of channel estimation mean square error performance and processing delay based on image contour extraction and baseline algorithms;
figure 6 is a comparison of channel tracking mean square error performance and processing delay based on image contour extraction and baseline algorithms.
Detailed Description
As shown in FIG. 4, the present embodiment is based on a massive MIMO OFDM system with spatially non-stationary characteristicsBase station receiving end configuration NrThe transmitting antennas form a uniform linear array with antenna spacing ofλ is a transmission signal wavelength, a transmitting end is a single antenna terminal, and then a received signal Y in a spatial frequency domain after fourier transform is H + N, where: from Nr×NsThe complex matrix H composed of elements is the large-scale MIMO fading correlation coefficient, NsIs the number of frequency domain subcarriers.
For convenience of illustration, all 1 pilots are transmitted in this embodiment, so the transmission signal is omitted here, and N is additive white gaussian noise with zero mean unit variance, and the wireless channel model of the spatial non-stationary state at the transmitting end and the receiving end is:wherein: l is the number of paths, glFor the gain of the path/to be, andare respectively asAnd mul= ΔfτlCorresponding airspace and frequency domain rudder vector, thetalAnd τlAnd f is a subcarrier interval, namely a signal starting angle and time delay corresponding to the path l. PhilThe visible area representing the path/is,effective antenna index selection for the visible region if the mth antenna belongs to the set ΦlThen 1 is placed at the mth position of the vector p, otherwise 0 is placed.
The embodiment relates to an MIMO space non-stationary channel estimation method based on image contour extraction, which comprises the steps of representing received signals with sparse angular time delay domains in an image form in a large-scale MIMO space non-stationary channel moving scene, obtaining the number of estimated paths, the signal departure angle of each path and propagation time delay by using an image contour extraction estimation algorithm, representing the received signals with sparse spatial time delay domains in the image form, and obtaining effective visible region estimation corresponding to each channel path by using the image contour extraction estimation algorithm, so that path gain and channel reconstruction are realized.
The estimated path number, the signal departure angle of each path and the propagation delay are obtained by the following modes:
firstly, in a large-scale MIMO channel, when the number of paths is far less than that of antennas, the received signals corresponding to the channel and the all-1 pilot frequency sequence have sparse characteristics in an angle time delay domain, and the received signals are converted from a space frequency domain to the angle time delay domain Then the received signal with sparse angular time delay domain is represented in the form of image, namely, the received signal is represented in the form of imageEach element ofFurther scaled to fit the pixel value range of images 0-255:based on scaled received signalsAnd Image and Mat2gray functions in MATLAB, the corresponding angular time delay domain sparse received signal color Image and gray scale Image can be generated, as shown in fig. 2(a) and (b), where: daAnd DSRespectively being front NrLine and first NsN of a linerDimension and η NsThe discrete fourier transform matrix of the dimension, η is the oversampling ratio, and the function max (-) is used to obtain the maximum element modulus value in the input matrix.
Secondly, on the basis of the gray image of the original received signal, setting a threshold delta to the pixel value f of each pixel point (i, j) in the gray imagei,jPerforming binarization processing, namely:setting markers NBD-1 and LNBD-0, wherein NBD and LNBD are a New boundary (New Border) and a previous New boundary (Last New Border), respectively, traversing each pixel point of the image in a raster scanning manner, resetting LNBD-0 when scanning to a start position of a New line, and resetting LNBD-0 when and only detecting that the pixel point (i, j) is an outer boundary start pointAnd is) And when the current LNBD is less than or equal to 0, extracting the outline of the image.
The contour extraction specifically comprises the following steps:
1) when (i, j) is the starting point of the outer boundary and NBD is NBD +1, (i, j) and the updated NBD value are recorded, and the point (i, j-1) on the left side of (i, j) is recorded as (i, j)2,j2) (ii) a If (i, j) is not the outer boundary starting point, jump to step 6).
2) To (i)2,j2) As a starting point, clockwise detecting whether non-zero pixel points exist around (i, j) or not, if so, recording as (i)1,j1) And update (i)2,j2)=(i1,j1) (i, j) is denoted as (i)3,j3) (ii) a Otherwise, thenAnd jumps to step 6).
3) Around (i)3,j3) To (i) with2,j2) Detecting the center point (i) counterclockwise as the previous point of the start point3,j3) If there is a non-zero pixel point at the top, bottom, left, and right, then it is recorded as (i)4,j4)。
4) Judgment (i)3,j3+1) whether the detected zero pixel point is detected in step 3), thenIf not, and satisfyThenOtherwise, the next step is executed.
5) Judging whether (i) is satisfied when the algorithm has searched the outer boundary starting point of the current contour4,j4) (ii) and (i, j)3,j3)=(i1,j1) If yes, jumping to the step 6); otherwise, updating (i)2,j2)=(i3,j3),(i3,j3)=(i4,j4) And jumps to step 3).
6) If it isThen updateAnd starting to continue raster scanning detection from the pixel point (i, j +1) until the vertex of the lower right corner of the image is scanned.
Thirdly, after all the outlines are extracted, the pixel value of the starting point of the outer boundary of the last outline is the estimated path numberThen, taking the starting point (i, j) of the outer boundary of each contour as the initial point, calculating the current second pointThe number of pixels occupied by each contour in the transverse and longitudinal directions is used for obtaining the height h of the contourlAnd width wlCombining the coordinates of the starting point of the outer boundary to obtain the coordinates of the central point of the rectangle surrounded by the current contourObtaining a signal starting angle corresponding to the ith channel path according to the central coordinate And delay estimation results
The estimation of the effective visible area corresponding to each channel path is obtained by the following method:
i) converting the received signal from the spatial frequency domain to the spatial time delay domain:and toEach element ofFurther scaling to fit the pixel value range of images 0-255:based on scaled received signalsAnd generating corresponding space time delay domain sparse received signal color Image and gray Image with Image and Mat2gray function in MATLAB3(a) and (b).
And ii) setting a threshold delta to complete binarization preprocessing on the pixel value of each pixel point of the image, and performing contour extraction on the image after the execution condition of a contour extraction algorithm is met.
iii) after all the contours are extracted, taking the starting point (i, j) of the outer boundary of each contour as the initial point, calculating the current second contourThe horizontal and vertical pixel points of the profile are used to obtain the height h of the profilelAnd width wl(ii) a Then combining the coordinates of the starting point of the outer boundary to obtain the coordinates of the transverse center point of the rectangle surrounded by the current contourFrom the close image center coordinate xlObtaining the time delay information corresponding to the first channel path with the longitudinal coordinate j of the start point of the first outer boundaryVisual area
iv) based on the obtained time delayThe estimated angle and time delay information can be matched with the visual area to obtain the corresponding parameter information of each channel path
The path gain refers to: and obtaining the gain of each path by a least square method according to the angle and the time delay of each path and the effective visible area corresponding to each channel path:wherein: and vec (-) represents the operator of the pseudo-inverse of the matrix and vectorizing the matrix by columns.
The channel estimation refers to: substituting the total path number obtained by estimation and channel parameters of each path into a wireless channel model to reconstruct a space non-stationary channel:wherein:in order to estimate the number of paths, andand a (-) and q (-) are airspace and frequency domain rudder vectors corresponding to the angle and the time delay, and p (-) is used for selecting effective antenna indexes in the corresponding visual area.
The channel parameters of each path refer to: signal departure angle, signal propagation delay, effective visible area estimation and path gain.
Preferably, after reconstructing the channel, the present invention further performs channel tracking by: changing channel space parameters, namely an angle, a time delay and a visual area, of a corresponding updated current time slot t according to whether the visual area is changed or not, specifically comprising the following steps: when channel reconstruction is carried out on the time slot t, channel visible region estimation based on image contour extraction is carried out, and when channel reconstruction is carried out on the time slot tWhen the channel estimation is established, path gain and channel estimation are directly carried out, so that the processing time delay required by the channel estimation is shortened; otherwise, complete channel space parameter and path gain updating estimation are carried out, so that the space non-stationary wireless channel of the time slot t is reconstructed.
The Channel data used in the embodiment for verifying the performance of the algorithm is generated from a moving scene space Non-Stationary Channel Model [ J ]. IEEE Transactions on Communications,2018,66(7): 3065:. J.: 3065:. 3078.) in the literature (Wu S, Wang C X, Aggoune E, et al. A General 3-D Non-Stationary 5G Wireless Channel Model [ J ]. the embodiment uses the most advanced Newton orthogonal matching Based Channel estimation algorithm mentioned in the literature (Han Y, Li M, Jin S, et al. deep standing FDD Non-Stationary Mass MIMO Downlink Channel reconstruction. IEEE Journal on Selected Areas in Communications,2020.) as a baseline for performance comparison. The specific parameters used in this example are shown in table 1:
table 1 relevant parameters used in this example
Parameter(s) | Value taking | Parameter(s) | Value taking |
Number of base station antennas Nr | 64 | CPU | Intel i7 |
Carrier frequency | 2.6GHz | Memory capacity | 16GB |
Number of subcarriers Ns | 56 | Hard disk capacity | 256GB |
Terminal moving speedDegree of rotation | 3m/s | Operating system | Windows 10 |
The present embodiment compares the spatial non-stationary channel estimation and baseline method based on image contour extraction to show the superiority of the architecture proposed in the present embodiment in terms of performance and computational complexity. As shown in fig. 5, the channel estimation algorithm based on contour extraction is significantly better than the baseline with 4 subarray numbers in terms of mean square error performance, mainly because the estimation of the visible region in this embodiment does not depend on subarrays, so that the matching error between the subarray division and the visible region can be eliminated, and the visible region estimation and final channel estimation performance is more excellent than the baseline. Compared with the baseline with 64 subarrays, although the channel estimation method based on contour extraction still has a space for improving the accuracy, the embodiment has a significant advantage in terms of computational complexity, so that the method can be applied to a moving scene with a limit on processing time delay.
As shown in fig. 6, the present embodiment expands the above experiment to the channel scenario after 2 seconds to show the performance of the spatially unstable channel tracking of the present embodiment. Because the processing delay is short, the present embodiment can estimate the channel state after 2 seconds in real time, and thus has reliable mean square error performance compared with a baseline method that cannot track the channel in real time due to high computational complexity.
Compared with the prior art, the method has the advantages that on the basis of the problem of space non-stationary channel estimation, the sparse characteristics of the channel in the angle delay domain and the space delay domain and the image contour extraction algorithm are utilized, and the high-complexity traditional iterative optimization method is replaced by the pixel processing with low calculation amount, so that the difficulty and the defect that the traditional method is unbalanced in performance and calculation complexity and is difficult to use for mobile scene channel tracking are avoided.
Secondly, in an actual wireless system, the estimation of the visible region based on the division of the antenna subarrays usually has a matching error compared with the actual situation, so in order to avoid the error, the invention extracts the visible region by taking each antenna as a unit for each path channel in a spatial domain, and obtains superior estimation precision on the premise of low calculation complexity.
The method provides significant performance gain in the aspect of mean square error, simultaneously benefits from the low calculation complexity of the algorithm, can better realize channel tracking in a mobile scene on the premise of ensuring the precision, and has high feasibility applied to an actual system.
The foregoing embodiments may be modified in many different ways by those skilled in the art without departing from the spirit and scope of the invention, which is defined by the appended claims and all changes that come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein.
Claims (7)
1. A space non-stationary channel estimation method based on image contour extraction is characterized in that under a large-scale MIMO space non-stationary channel moving scene, after a received signal with a sparse angle delay domain is represented in an image form, the number of estimated paths, the angle and the time delay of each path are obtained by using an estimation algorithm of image contour extraction, after the received signal with the sparse space delay domain is represented in the image form, an effective visible region estimation corresponding to each channel path is obtained by using the estimation algorithm of image contour extraction, and therefore path gain and channel reconstruction are achieved;
the estimation algorithm for extracting the image contour specifically comprises the following steps:
1) when the two-dimensional coordinate (i, j) of any point pixel on the image is the outer boundary starting point, setting a marker NBD to be NBD +1, recording (i, j) and the updated NBD value, and recording a point (i, j-1) on the left of (i, j) as (i, j)2,j2) (ii) a Otherwise, jumping to the step 6);
2) to (i)2,j2) Taking (i, j) as a center of a circle as a starting point, and detecting clockwise: when there are non-zero pixels in the upper, lower, left and right four neighborhoods, it is recorded as (i)1,j1) And update (i)2,j2)=(i1,j1) (i, j) is denoted as (i)3,j3) (ii) a Otherwise the point binary imageElemental valueAnd jumping to step 6);
3) to (i)3,j3) As the center of circle, in (i)2,j2) The previous point which is the starting point is detected anticlockwise: center point (i)3,j3) When there are non-zero pixels above, below, left and right, it is recorded as (i)4,j4);
4) When (i)3,j3+1) is the zero pixel point detected in step 3), then the binary pixel value of the pointWhen (i)3,j3+1) zero pixels not detected in step 3) and satisfyingWhen it is, thenOtherwiseThe value of (a) does not change;
5) when the outer boundary starting point of the current contour is searched, i4,j4) (ii) and (i, j)3,j3)=(i1,j1) If yes, jumping to the step 6); otherwise update (i)2,j2)=(i3,j3),(i3,j3)=(i4,j4) And jumping to the step 3);
2. The method for estimating the spatial non-stationary channel based on the image contour extraction as claimed in claim 1, wherein the estimated number of paths, the signal departure angle of each path, and the propagation delay are obtained by:
firstly, in a large-scale MIMO channel, when the number of paths is far less than that of antennas, the received signals corresponding to the channel and the all-1 pilot frequency sequence have sparse characteristics in an angle time delay domain, and the received signals are converted from a space frequency domain to the angle time delay domainThen the received signal with sparse angular time delay domain is represented in the form of image, namely, the received signal is represented in the form of imageEach element ofIs further scaled toBased on scaled received signalsGenerating corresponding angle time delay domain sparse received signal color images and gray level images, wherein: daAnd DSRespectively being front NrLine and first NsN of a linerDimension and η NsA dimensional discrete Fourier transform matrix, η being the oversampling ratio, the function max (-) being used to obtain the maximum element modulus value in the input matrix;
secondly, setting a threshold 6 to the pixel value f of each pixel point (i, j) in the gray image on the basis of the gray image of the original received signali,jThe binary processing is carried out, and the binary processing,namely:setting markers NBD ═ 1 and LNBD ═ 0, wherein NBD and LNBD are respectively a new boundary and a previous new boundary, traversing each pixel point of the image in a raster scanning mode, resetting LNBD ═ 0 when a new line starting position is scanned, and only when the pixel point (i, j) is detected to be an outer boundary starting point, namely the pixel point (i, j) is detected to be an outer boundary starting pointAnd isWhen the current LNBD is less than or equal to 0, extracting the outline of the image;
thirdly, after all the outlines are extracted, the pixel value of the starting point of the outer boundary of the last outline is the estimated path numberThen, taking the starting point (i, j) of the outer boundary of each contour as the initial point, calculating the current second pointThe horizontal and vertical pixel points of the profile are used to obtain the height h of the profilelAnd width wlCombining the coordinates of the starting point of the outer boundary to obtain the coordinates of the central point of the rectangle surrounded by the current contourObtaining a signal starting angle corresponding to the ith channel path according to the central coordinates And delay estimation results
3. The method as claimed in claim 1, wherein the estimation of the spatially non-stationary channel based on the image contour extraction is obtained by the following steps:
i) converting the received signal from the spatial frequency domain to the spatial time delay domain:and toEach element ofFurther scaling to:based on scaled received signalsGenerating a corresponding space time delay domain sparse received signal color image and a corresponding gray image;
ii) setting a threshold value delta to complete binarization preprocessing on the pixel value of each pixel point of the image, and performing contour extraction on the image after the execution condition of a contour extraction algorithm is met;
iii) after all the contours are extracted, taking the starting point (i, j) of the outer boundary of each contour as the initial point, calculating the current second contourThe horizontal and vertical pixel points of the profile are used to obtain the height h of the profilelAnd width wl(ii) a Then combining the coordinates of the starting point of the outer boundary to obtain the coordinates of the transverse center point of the rectangle surrounded by the current contourFrom the close image center coordinate xlObtaining the time delay information corresponding to the ith channel path according to the longitudinal coordinate j of the starting point of the ith outer boundaryVisual area Further matching the estimated angle and time delay information with the visible region to obtain the corresponding parameter information of each channel path
4. The method as claimed in claim 1, wherein the path gain is: and obtaining the gain of each path by a least square method according to the angle and the time delay of each path and the effective visual area corresponding to each channel path:wherein: and vec (-) represents the operator of the pseudo-inverse of the matrix and vectorizing the matrix by columns.
5. The method as claimed in claim 1, wherein the channel estimation method is based on image contour extractionThe estimation means that: substituting the total path number obtained by estimation and channel parameters of each path into a wireless channel model to reconstruct a space non-stationary channel:wherein:in order to estimate the number of paths,andand a (-) and q (-) are airspace and frequency domain rudder vectors corresponding to the angle and the time delay, and p (-) is used for selecting effective antenna indexes in the corresponding visual area.
6. The method as claimed in claim 5, wherein the channel parameters of each path are: signal departure angle, signal propagation delay, effective visible area estimation and path gain.
7. The method as claimed in claim 1, wherein after reconstructing the channel, the method further comprises following steps: the method includes that whether channel space parameters, namely angles, time delays and visual areas, of a current time slot t are changed and updated correspondingly according to the visual areas, specifically: when channel reconstruction is carried out on the time slot t, channel visible region estimation based on image contour extraction is carried out, and when channel reconstruction is carried out on the time slot tOr directly performing path gain and channel estimation in real time, thereby reducing the processing time delay required by channel estimation; otherwise, the complete channel space parameter is carried outAnd the path gain update estimate to reconstruct the spatially non-stationary wireless channel for time slot t.
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