A method for feedback-based digital qec correction for digital arrays

Abstract

This invention relates to the field of QEC correction technology for digital arrays, and more specifically, to a feedback-based digital QEC correction method for digital arrays. The method includes the following steps: S1: Constructing a distortion model for the transmit / receive channel and calculating the distortion model parameters; S2: Constructing a pre-distortion model for the transmitter based on the distortion model parameters and performing transmit-end QEC correction; S3: Constructing a post-distortion model for the receiver based on the distortion model parameters and performing receiver-end QEC correction. This solution digitally solves the problems of image and DC correction at the transmit and receive ends of digital array antennas. It is independent of hardware design and does not require external reference sources. It uses a feedback-based digital method for image QEC correction, which also achieves error correction for both image and local oscillator, with high accuracy and good portability.

Description

Technical Field

[0001] This invention relates to the field of QEC correction technology for digital arrays, and more specifically, to a feedback-based digital QEC correction method for digital arrays. Background Technology

[0002] Digital array antennas are commonly used in satellite communications, serving as satellite antennas to communicate with ground stations or mobile phones. They are a crucial component of satellite payloads and have a significant impact on the entire satellite communication system. Digital multi-beamforming is one of the key technologies in satellite communication systems, and accurate beamforming requires high RF channel quality. However, various errors caused by hardware non-ideals, environmental time-varying factors, and structural complexity in each RF channel of the array become sources of deterioration in channel quality. The resulting IQ imbalance can cause image errors and local oscillator leakage in the transmit or receive channels, which is a key problem that needs to be addressed.

[0003] Traditional methods rely on the design of the hardware circuitry itself, addressing the IQ imbalance problem from the hardware design perspective. This method places high demands on the hardware circuitry, leading to higher costs and slower product updates. Another approach is active calibration, which relies on known reference sources (such as calibration signals or spectrum analyzers). However, this requires additional hardware support and cannot be updated in real time, making it only suitable for static error environments and clearly unsuitable for satellite in-orbit environments.

[0004] This invention proposes a scheme for multi-channel QEC correction of digital array antennas that does not rely on hardware design and does not require the support of external reference sources. It uses a feedback-based digital method for mirror QEC correction, which also achieves error correction for both the mirror and local oscillator, with high accuracy and good portability. Summary of the Invention

[0005] The present invention aims to overcome at least one of the defects (deficiencies) of the prior art and provide a feedback-based digital QEC correction method for digital arrays, which is used to digitally solve the problems of image and DC correction at the transceiver end of digital array antennas.

[0006] The technical solution adopted in this invention is a feedback-based digital QEC correction method for digital arrays, the method comprising the following steps:

[0007] S1: Construct a distortion model for the transmit / receive channel and calculate the distortion model parameters;

[0008] S2: Construct a pre-distortion model for the transmitter based on the distortion model parameters, and perform QEC correction for the transmitter;

[0009] S3: Construct the receiver post-distortion model based on the distortion model parameters, and perform receiver QEC correction.

[0010] This proposed feedback-based digital QEC correction method accurately describes the error sources in the system by constructing a distortion model of the transmit and receive channels and calculating the distortion model parameters, providing a theoretical basis for subsequent correction. The method first performs QEC correction at the transmitter by constructing a pre-distortion model to eliminate image errors and local oscillator leakage caused by IQ imbalance, ensuring signal quality. Then, at the receiver, correction is performed by constructing a post-distortion model to restore the authenticity of the received signal and reduce the impact of errors. This method is independent of hardware design and external reference sources, employing a feedback mechanism to achieve real-time correction and adapt to dynamic environmental changes. Through high-precision digital correction, it not only improves system performance but also possesses good portability, adapting to different platforms and environments, with low system complexity and cost, and is widely applicable to satellite communication systems and other fields.

[0011] Preferably, in step S1, constructing the transceiver channel distortion model includes: converting the time-domain signal at the transmitting or receiving end... Input into the distortion model to obtain The functional formula for the distortion model is as follows:

[0012]

[0013] in, For channel transmission functions; This is a mirror transfer function; For channel delay; when For mirror delay, It is DC; The time-domain signal sequence is represented by the transmitting end. Let x be the independent variable of the time-domain sequence.

[0014] This application captures signal distortion caused by factors such as channel attenuation, image effect, and DC offset during transmission, providing accurate error modeling and a theoretical basis for subsequent QEC correction. It achieves high-precision distortion modeling, enabling real-time adaptation to signal changes under different environments and enhancing the stability and reliability of the correction. Simultaneously, mathematical modeling reduces dependence on external hardware, lowers system complexity and cost, and improves adaptability and scalability.

[0015] Preferably, in step S1, the calculation of distortion model parameters includes:

[0016] S11: Calculate DC by averaging ,in ;

[0017] S12: Will Perform circular shift Then, take multiple shifted versions and... Perform relevant calculations and find the delay at the point of maximum correlation as the channel delay. The relevant calculation formula is as follows: ;

[0018] S13: Will Delay The time-domain signal after delay is then obtained. Then, the channel transfer function is calculated using the LS algorithm. , It contains the amplitude and phase information of the channel;

[0019] S14: After calculating the channel delay and channel transfer function, based on the uncorrelated characteristics of the mirror signal, first subtract the system function of the signal used to calculate the mirror to obtain the image after distortion model. ,in, ;

[0020] S15: Circularly shift the mirror item Multiple delayed versions are obtained and correlated with the image after distortion modeling to obtain the image delay. Then, the LS algorithm is used to obtain the mirror transfer function. .

[0021] By progressively calculating the DC component, channel delay, channel transfer function, image signal, and image transfer function, accurate modeling of signal distortion is effectively achieved. Each calculation step improves the precision of signal processing, enabling comprehensive and accurate correction of various distortion factors during signal transmission, thus providing high-precision support for subsequent error correction and signal recovery.

[0022] Preferably, in step S13, the LS algorithm formula is: ; The calculation formula is: .

[0023] In this step, the channel transfer function is calculated using the least squares algorithm, enabling accurate estimation of the channel's amplitude and phase information. This algorithm effectively extracts channel characteristics by minimizing the sum of squared signal errors, exhibiting strong noise resistance and providing a relatively accurate transfer function estimate even when the signal is subject to noise interference. The matrix operation form of the LS algorithm offers high computational efficiency, making it suitable for real-time signal processing. It avoids complex nonlinear optimization calculations, thereby improving processing speed and simplicity. Accurate calculation of the channel transfer function effectively recovers distorted signals, enhancing the overall system performance and stability.

[0024] Preferably, step S2 includes:

[0025] S21: Obtain the original transmitted time-domain signal through a predistortion model. ;

[0026] S22: The result will be Obtained through the distortion model ,in ;

[0027] S23: According to and Solve for the mirror coefficients of the predistortion model DC correction term for predistortion model ;

[0028] S24: Based on the solution... and The input signal undergoes pre-distortion processing before being processed by the distortion model of the transmission channel to obtain a signal output with the image and local oscillator removed.

[0029] By progressively implementing pre-distortion and distortion correction of the signal, it is ensured that after the signal is processed by the distortion model, image and local oscillator interference can be effectively removed, resulting in a clearer and more realistic signal output. The optimization and correction at each step enable the pre-distortion processing to more accurately adapt to different signal characteristics, thereby improving the signal transmission quality and stability of the entire system.

[0030] Preferably, in step S21, the predistortion model formula is:

[0031]

[0032] in, Indicates mirror correction; The symbol for convolution; Indicates a mirrored item.

[0033] This predistortion model eliminates image interference through convolution operations and performs fine adjustments in conjunction with a DC correction term, thereby effectively optimizing signal quality, reducing errors, and improving the accuracy and robustness of signal processing.

[0034] Preferably, step S23 includes: substituting the predistortion model formula into... In the formula, the mirror term is then extracted to obtain the solution. Next, the DC term is extracted and its conjugate is taken to solve for... .

[0035] By accurately extracting and solving the image and DC terms, interference components in the signal can be effectively eliminated, and by optimizing the parameters... and This improves signal quality and processing accuracy. This process ensures the accuracy of subsequent signal processing and enhances the robustness and reliability of the system.

[0036] Preferably, step S3 includes:

[0037] S31: Obtain the original transmitted time-domain signal through a distortion model. ,in, ;

[0038] S32: The result will be Obtained through the post-distortion model ,in, ;

[0039] S33: According to and The mirror coefficients of the post-distortion model are obtained by solving. Then according to Solving for the DC correction term in the post-distortion model ;

[0040] S34: Obtained using the solution and ,according to The formula is used to obtain a signal by receiving the signal and then processing it to remove the image and local oscillator.

[0041] By employing precise distortion modeling, post-distortion processing, and correction, image and local oscillator interference in the time-domain signal are eliminated, optimizing signal quality and accuracy. This not only improves the accuracy of signal recovery but also ensures the signal processing system can operate stably under complex interference conditions.

[0042] Preferably, step S33 includes: taking Substitute Then, extract its mirror term and set it to 0 to obtain the solution. Then according to Solve .

[0043] By accurately removing the image term and solving for the image correction coefficient and DC correction term in this step, the signal quality is significantly improved, interference components are eliminated, and the signal recovery process becomes more accurate and reliable.

[0044] Preferably, the function formula for extracting its mirror term and setting it to 0 is:

[0045]

[0046] Therefore, based on the above formula, we can obtain... ;

[0047] Then, the solution is obtained from the DC term. , ,in This indicates a DC term mirror image.

[0048] By accurately extracting the image term and setting it to zero, and further solving for the image correction coefficient and the DC term, the entire signal recovery process is greatly optimized. This method effectively removes interference components from the signal, ensuring accurate recovery of the signal in both the frequency spectrum and the DC portion, ultimately improving the robustness, stability, and accuracy of the signal processing system.

[0049] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0050] This invention proposes a QEC correction scheme for digital array antennas based on digital feedback, which digitally solves the problems of image distortion and DC correction at the transceiver end of digital array antennas. This scheme is independent of hardware design and does not require external reference sources, offering good portability and high accuracy. It effectively eliminates interference and distortion in the signal, improves signal quality and recovery accuracy, and ensures efficient and stable system operation in variable environments. Attached Figure Description

[0051] Figure 1 The method flowchart provided by the present invention.

[0052] Figure 2 This is a schematic diagram of the distortion model provided by the present invention.

[0053] Figure 3 This is a schematic diagram illustrating the calculation of channel parameters provided by the present invention.

[0054] Figure 4 This is a schematic diagram of the transmitter predistortion model provided by the present invention.

[0055] Figure 5 This is a schematic diagram of the post-distortion model of the receiving end provided by the present invention.

[0056] Figure 6 This is a schematic diagram of the simulation results provided by the present invention.

[0057] Figure 7 This is a schematic diagram of the system structure provided by the present invention. Detailed Implementation

[0058] The accompanying drawings are for illustrative purposes only and should not be construed as limiting the invention. To better illustrate the following embodiments, some parts in the drawings may be omitted, enlarged, or reduced, and do not represent the actual product dimensions; it is understandable to those skilled in the art that some well-known structures and their descriptions may be omitted in the drawings.

[0059] Example 1

[0060] like Figure 1 As shown, this embodiment provides a feedback-based digital QEC correction method for digital arrays, the method comprising the following steps:

[0061] Step S1: Construct a distortion model for the transmit / receive channel and calculate the distortion model parameters;

[0062] Preferably, in step S1, as Figure 2 As shown, constructing the transceiver channel distortion model includes: converting the time-domain signal at the transmitting or receiving end... Input into the distortion model to obtain The functional formula for the distortion model is as follows:

[0063]

[0064] in, For channel transmission functions; This is a mirror transfer function; For channel delay; when For mirror delay, It is DC; The time-domain signal sequence is represented by the transmitting end. Let x be the independent variable of the time-domain sequence.

[0065] More preferably, such as Figure 3 As shown, in step S1, the parameters for calculating the distortion model include:

[0066] Step S11: Calculate DC by averaging. ,in ;

[0067] Step S12: Perform circular shift Then, take multiple shifted versions and... Perform relevant calculations and find the delay at the point of maximum correlation as the channel delay. The relevant calculation formula is as follows: ;

[0068] Step S13: [The text appears to be incomplete and contains several grammatical errors. A more accurate translation would require the full context.] Delay The time-domain signal after delay is then obtained. Then, the channel transfer function is calculated using the LS algorithm. , It contains the amplitude and phase information of the channel;

[0069] More preferably, in step S13, the LS algorithm formula is: ; The calculation formula is: ,in, It contains the amplitude and phase information of the channel. This indicates the conjugate transpose.

[0070] Step S14: After calculating the channel delay and channel transfer function, based on the uncorrelated characteristics of the mirror signal, first subtract the system function of the signal used to calculate the mirror to obtain the image after distortion model. ,in, ;

[0071] Step S15: Circularly shift the mirrored item. Multiple delayed versions are obtained and correlated with the image after distortion modeling to obtain the image delay. Then, the LS algorithm is used to obtain the mirror transfer function. .

[0072] By progressively calculating the DC component, channel delay, channel transfer function, image signal, and image transfer function, accurate modeling of signal distortion is effectively achieved. Each calculation step improves the precision of signal processing, enabling comprehensive and accurate correction of various distortion factors during signal transmission, thus providing high-precision support for subsequent error correction and signal recovery.

[0073] Step S2: Construct a transmitter pre-distortion model based on the distortion model parameters, and perform transmitter QEC correction, such as... Figure 4 As shown, To transmit the original time-domain signal, The predistorted signal at the transmitting end is a QEC compensation model.

[0074] Preferably, step S2 includes:

[0075] Step S21: Obtain the original transmitted time-domain signal through a predistortion model. ;

[0076] Preferably, in step S21, the predistortion model formula is:

[0077]

[0078] in, Indicates mirror correction; The symbol for convolution; Indicates a mirrored item.

[0079] Step S22: Obtain the Obtained through the distortion model ,in ;

[0080] Step S23: According to and Solve for the mirror coefficients of the predistortion model DC correction term for predistortion model ;

[0081] More preferably, step S23 includes: substituting the predistortion model formula into... In the formula, the mirror term is then extracted to obtain the solution. Next, the DC term is extracted and its conjugate is taken to solve for... .

[0082] Specifically, it includes:

[0083] Substituting the predistortion model formula into... From the formula, we can obtain:

[0084]

[0085]

[0086] Next, extract the mirror term and solve for it. :

[0087]

[0088] Then, extracting the DC term yields the following formula:

[0089]

[0090] Taking the conjugate of the above formula yields:

[0091]

[0092] Then, the formulas obtained by extracting the DC term and the formulas obtained by taking the conjugate are written in matrix form to obtain the DC correction term. ,

[0093]

[0094] Step S24: Based on the solution obtained and The input signal undergoes pre-distortion processing before being processed by the distortion model of the transmission channel to obtain a signal output with the image and local oscillator removed.

[0095] By progressively implementing pre-distortion and distortion correction of the signal, it is ensured that after the signal is processed by the distortion model, image and local oscillator interference can be effectively removed, resulting in a clearer and more realistic signal output. The optimization and correction of each step enable the pre-distortion processing to more accurately adapt to different signal characteristics, thereby improving the signal transmission quality and stability of the entire system.

[0096] Step S3: As Figure 5 As shown, a post-distortion model is constructed at the receiver based on the distortion model parameters, and QEC correction is performed at the receiver. x(n) represents the original transmitted signal in the time domain. For the received signal, The signal is post-distorted at the receiving end, where the post-distortion model is the QEC compensation model.

[0097] Preferably, step S3 includes:

[0098] Step S31: Obtain the original transmitted time-domain signal through a distortion model. ,in, ;

[0099] Step S32: Obtain the Obtained through the post-distortion model ,in, ;

[0100] Step S33: According to and The mirror coefficients of the post-distortion model are obtained by solving. Then according to Solving for the DC correction term in the post-distortion model ;

[0101] More preferably, step S33 includes: taking Substitute Then, extract its mirror term and set it to 0 to obtain the solution. Then according to Solve .

[0102] Specifically, Substitute From this, we can obtain:

[0103]

[0104] Next, its mirror item is extracted and set to 0:

[0105]

[0106] Therefore, based on the above formula, we can obtain... ;

[0107] Then, the solution is obtained from the DC term. , ,in This indicates a DC term mirror image.

[0108] Step S34: Using the solution obtained and ,according to The formula is used to obtain a signal by receiving the signal and then processing it to remove the image and local oscillator.

[0109] By accurately extracting the image term and setting it to zero, and further solving for the image correction coefficient and DC term, the entire signal recovery process is greatly optimized. This method effectively removes interference components from the signal, ensuring accurate recovery of the signal in both the frequency spectrum and the DC portion, ultimately improving the robustness, stability, and accuracy of the signal processing system.

[0110] Specifically, in this embodiment, a pair of standard transmit and receive ADDAs after external calibration is required.

[0111] For the transmission calibration scheme, a test signal (which can be loaded with a ZC sequence with good autocorrelation) is sequentially transmitted from each transmitter to be calibrated. A standard receiver connected to an RF line receives the digital signal. The parameters of each transmission channel are obtained according to the calculation scheme and then input into the transmission predistortion model to construct the transmission QEC and DC calibration. Continuing to transmit an in-band single-tone signal verifies whether the QEC and DC correction are effective under the predistortion model at this point.

[0112] For the receiver calibration scheme, firstly, a test signal is transmitted using a standard transmitter (ZC signal can also be used). Then, the receiver channels to be calibrated are sequentially connected to the RF lines to receive the sampled digital signals. The parameters of each receiver channel are obtained according to the above calculation scheme, and then substituted into the post-reception distortion model to construct the receiver QEC and DC calibration. After constructing the post-reception distortion model, it can be observed whether the QEC and DC calibration are effective.

[0113] The results obtained by simulation using simulation software according to the method described in this embodiment are as follows: Figure 6 As shown, the transmitted signal uses a multi-carrier signal, where the signal appears at intervals of one disk point, allowing for intuitive decomposition and image classification. A distortion channel is set, and models for delay, image, and DC are incorporated to obtain the spectrum of the received signal y. From... Figure 6 Looking at the transmitted signal spectrum x in the upper left figure and the received signal spectrum y in the upper right figure, the image rejection becomes 17dB, while the DC rejection is 27dB. Simulations using the aforementioned scheme yield pre-distortion and post-distortion results, as follows: Figure 6The results in the lower left and lower right corners show that both schemes can significantly improve the image and DC suppression of the channel, with suppression ratios of over 50dB.

[0114] Therefore, the feedback-based digital QEC correction method proposed in this embodiment accurately describes the error sources in the system by constructing a distortion model of the transmit and receive channels and calculating the distortion model parameters, providing a theoretical basis for subsequent correction. This method first performs QEC correction at the transmitting end by constructing a pre-distortion model to eliminate image errors and local oscillator leakage caused by IQ imbalance, ensuring signal quality. Then, at the receiving end, it performs correction by constructing a post-distortion model to restore the authenticity of the received signal and reduce the impact of errors. This method does not rely on hardware design or external reference sources, and uses a feedback mechanism to achieve real-time correction, adapting to dynamic environmental changes. Through high-precision digital correction, it not only improves system performance but also has good portability, adapting to different platforms and environments, with low system complexity and cost, and is widely applicable to satellite communication systems and other fields.

[0115] Example 2

[0116] like Figure 7 As shown, according to the method described in Embodiment 1, this embodiment provides a system for feedback-based digital QEC correction of digital arrays, the system comprising:

[0117] The parameter calculation module is used to construct the distortion model of the transmit and receive channel and calculate the distortion model parameters.

[0118] The transmitter QEC correction module is used to construct a transmitter pre-distortion model based on the distortion model parameters and perform transmitter QEC correction.

[0119] The receiver QEC correction module is used to construct the receiver post-distortion model based on the distortion model parameters and perform receiver QEC correction.

[0120] Therefore, in this system, by constructing a distortion model of the transmit and receive channels and calculating the distortion model parameters, the sources of error in the system are accurately described, providing a theoretical basis for subsequent correction. First, the transmitter's QEC correction module performs QEC correction at the transmitter end by constructing a pre-distortion model to eliminate image errors and local oscillator leakage caused by IQ imbalance, ensuring signal quality. Then, the receiver's QEC correction module performs correction at the receiver end by constructing a post-distortion model to restore the authenticity of the received signal and reduce the impact of errors. The system described in this embodiment does not rely on hardware design or external reference sources, and uses a feedback mechanism to achieve real-time correction, adapting to dynamic environmental changes. Through high-precision digital correction, not only is system performance improved, but it also has good portability, adapting to different platforms and environments, with low system complexity and cost, and is widely applicable to satellite communication systems and other fields.

[0121] Preferably, the parameter calculation module includes:

[0122] The distortion function calculation unit is used to calculate the time-domain signal at the transmitting or receiving end. The input is used to calculate the distortion model. The functional formula for the distortion model is:

[0123]

[0124] in, For channel transmission functions; This is a mirror transfer function; For channel delay; when For mirror delay, It is DC; The time-domain signal sequence is represented by the transmitting end. Let x be the independent variable of the time-domain sequence.

[0125] This unit captures signal distortion caused by factors such as channel attenuation, image effect, and DC offset during transmission, providing accurate error modeling and a theoretical basis for subsequent QEC correction. It achieves high-precision distortion modeling, enabling real-time adaptation to signal changes under different environments and enhancing the stability and reliability of the correction. Simultaneously, mathematical modeling reduces dependence on external hardware, lowers system complexity and cost, and improves adaptability and scalability.

[0126] More preferably, the parameter calculation module further includes:

[0127] Distortion model parameter calculation unit, used to calculate relevant parameters of the distortion model;

[0128] Specifically, it includes:

[0129] DC is calculated by averaging. ,in ;

[0130] Will Perform circular shift Then, take multiple shifted versions and... Perform relevant calculations and find the delay at the point of maximum correlation as the channel delay. The relevant calculation formula is as follows: ;

[0131] Will Delay The time-domain signal after delay is then obtained. Then, the channel transfer function is calculated using the LS algorithm. , It includes the amplitude and phase information of the channel; wherein, the LS algorithm formula is: ; The calculation formula is: .

[0132] By using the least squares algorithm to calculate the channel transfer function, the amplitude and phase information of the channel can be accurately estimated. This algorithm effectively extracts channel characteristics by minimizing the sum of squared signal errors and possesses strong noise resistance, achieving relatively accurate transfer function estimates even when the signal is subject to noise interference. The matrix operation form of the LS algorithm has high computational efficiency, making it suitable for real-time signal processing. It avoids complex nonlinear optimization calculations, thus improving processing speed and simplicity. Accurate calculation of the channel transfer function effectively recovers distorted signals, enhancing the overall system performance and stability.

[0133] After calculating the channel delay and channel transfer function, based on the uncorrelated characteristics of the mirror signal, the system function of the signal used to calculate the mirror is first subtracted to obtain the mirror image after distortion modeling. ,in, ;

[0134] Circularly shift the mirror item. Multiple delayed versions are obtained and correlated with the image after distortion modeling to obtain the image delay. Then, the LS algorithm is used to obtain the mirror transfer function. .

[0135] Therefore, by progressively calculating the DC component, channel delay, channel transfer function, image signal, and image transfer function, this unit effectively achieves accurate modeling of signal distortion. Each calculation step improves the accuracy of signal processing, enabling comprehensive and accurate correction of various distortion factors during signal transmission, thus providing high-precision support for subsequent error correction and signal recovery.

[0136] Preferably, the transmitter QEC correction module includes:

[0137] The predistortion model parameter processing unit is used to generate the predistortion model image coefficients and the predistortion model DC correction terms;

[0138] Specifically, this includes: obtaining the original transmission time-domain signal through a predistortion model. The formula for the predistortion model is:

[0139]

[0140] in, Indicates mirror correction; The symbol for convolution; Indicates a mirrored item;

[0141] The result Obtained through the distortion model ,in ;

[0142] according to and Solve for the mirror coefficients of the predistortion model DC correction term for predistortion model Specifically, this involves substituting the predistortion model formula into... In the formula, the mirror term is then extracted to obtain the solution. Next, the DC term is extracted and its conjugate is taken to solve for... .

[0143] The transmitter correction unit is used to perform transmit predistortion processing on the input signal based on the image coefficient and DC correction term of the predistortion model, and then process it through the distortion model of the transmit channel to obtain the signal output with the image and local oscillator removed.

[0144] By progressively implementing pre-distortion and distortion correction of the signal, it is ensured that after the signal is processed by the distortion model, image and local oscillator interference can be effectively removed, resulting in a clearer and more realistic signal output. The optimization and correction of each step enable the pre-distortion processing to more accurately adapt to different signal characteristics, thereby improving the signal transmission quality and stability of the entire system.

[0145] Preferably, the receiving end QEC correction module includes:

[0146] The post-distortion model parameter calculation unit is used to calculate the image coefficients and DC correction terms of the post-distortion model.

[0147] Specifically, it includes:

[0148] The original time-domain signal from transmission is obtained through a distortion model. ,in, ;

[0149] The result Obtained through the post-distortion model ,in, ;

[0150] according to and The mirror coefficients of the post-distortion model are obtained by solving. Then according to Solving for the DC correction term in the post-distortion model Specifically, by... Substitute Then, extract its mirror term and set it to 0 to obtain the solution. Then according to Solve The function formula for extracting its mirror term and setting it to 0 is as follows:

[0151]

[0152] Therefore, based on the above formula, we can obtain... ;

[0153] Then, the solution is obtained from the DC term. , ,in This indicates a DC term mirror image.

[0154] By accurately extracting the image term and setting it to zero, and further solving for the image correction coefficient and DC term, the entire signal recovery process is greatly optimized. This method effectively removes interference components from the signal, ensuring accurate recovery of the signal in both the frequency spectrum and the DC portion, ultimately improving the robustness, stability, and accuracy of the signal processing system.

[0155] The receiver correction unit is used to solve for the parameters obtained by the post-distortion model parameter calculation unit. and and according to The formula is used to obtain a signal by receiving the signal and then processing it to remove the image and local oscillator.

[0156] By employing precise distortion modeling, post-distortion processing, and correction, image and local oscillator interference in the time-domain signal are eliminated, optimizing signal quality and accuracy. This not only improves the accuracy of signal recovery but also ensures that the signal processing system can operate stably under complex interference conditions.

[0157] The system for feedback-based digital QEC correction of digital arrays provided in this embodiment is used to execute the feedback-based digital QEC correction method for digital arrays described above. Its implementation method is consistent with the implementation method for feedback-based digital QEC correction of digital arrays provided in this embodiment, and can achieve the same beneficial effects, so it will not be described again here.

[0158] This system for feedback-based digital QEC correction of digital arrays is used in the feedback-based digital QEC correction methods for digital arrays described in the foregoing embodiments. Therefore, the descriptions and definitions in the feedback-based digital QEC correction methods for digital arrays described in the foregoing embodiments can be used for understanding the execution modules in this embodiment.

[0159] Obviously, the above embodiments of the present invention are merely examples for clearly illustrating the technical solution of the present invention, and are not intended to limit the specific implementation of the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the claims of the present invention should be included within the protection scope of the claims of the present invention.

Claims

1. A feedback-based digital QEC correction method for digital arrays, characterized in that, The method includes the following steps: S1: Construct a distortion model for the transmit / receive channel and calculate the distortion model parameters; S2: Construct a pre-distortion model for the transmitter based on the distortion model parameters, and perform QEC correction for the transmitter; S3: Construct the receiver post-distortion model based on the distortion model parameters and perform receiver QEC correction; In step S1, constructing the transceiver channel distortion model includes: converting the time-domain signal at the transmitting or receiving end... Input into the distortion model to obtain The functional formula for the distortion model is as follows: ； in, For channel transmission functions; This is a mirror transfer function; For channel delay; when For mirror delay, It is DC; The time-domain signal sequence is represented by the transmitting end. Let x be the independent variable of the time-domain sequence; In step S1, the calculation of distortion model parameters includes: S11: Calculate DC by averaging ,in ; S12: Will Perform circular shift Then, take multiple shifted versions and... Perform relevant calculations and find the delay at the point of maximum correlation as the channel delay. The relevant calculation formula is as follows: ; S13: Will Delay The time-domain signal after delay is then obtained. Then, the channel transfer function is calculated using the LS algorithm. , It contains the amplitude and phase information of the channel; S14: After calculating the channel delay and channel transfer function, based on the uncorrelated characteristics of the mirror signal, first subtract the system function of the signal used to calculate the mirror to obtain the image after distortion model. ,in, ; S15: Circularly shift the mirror item Multiple delayed versions are obtained and correlated with the image after distortion modeling to obtain the image delay. Then, the LS algorithm is used to obtain the mirror transfer function. .

2. The method for feedback-based digital QEC correction of digital arrays according to claim 1, characterized in that, In step S13, the LS algorithm formula is: ; The calculation formula is: .

3. The method for feedback-based digital QEC correction of digital arrays according to claim 2, characterized in that, Step S2 includes: S21: Obtain the original transmitted time-domain signal through a predistortion model. ; S22: The result will be Obtained through the distortion model ,in ; S23: According to and Solve for the mirror coefficients of the predistortion model DC correction term for predistortion model ; S24: Based on the solution obtained and The input signal undergoes pre-distortion processing before being processed by the distortion model of the transmission channel to obtain a signal output with the image and local oscillator removed.

4. The method for feedback-based digital QEC correction of digital arrays according to claim 3, characterized in that, In step S21, the predistortion model formula is: ； in, Indicates mirror correction; The symbol for convolution; Indicates a mirrored item.

5. The method for feedback-based digital QEC correction of a digital array according to claim 4, characterized in that, Step S23 includes: substituting the predistortion model formula into... In the formula, we then extract the mirror term and solve for... Next, the DC term is extracted and its conjugate is taken to solve for... .

6. The method for feedback-based digital QEC correction of a digital array according to claim 2, characterized in that, Step S3 includes: S31: Obtain the original transmitted time-domain signal through a distortion model. ,in, ; S32: The result will be Obtained through the post-distortion model ,in, ; S33: According to and The mirror coefficients of the post-distortion model are obtained by solving. Then according to Solving for the DC correction term in the post-distortion model ; S34: Obtained using the solution and ,according to The formula is used to obtain a signal by receiving the signal and then processing it to remove the image and local oscillator.

7. A method for feedback-based digital QEC correction of a digital array according to claim 6, characterized in that, Step S33 includes: Substitute Then, extract its mirror term and set it to 0 to obtain the solution. Then according to Solve .

8. A method for feedback-based digital QEC correction of a digital array according to claim 7, characterized in that, The function formula for extracting its mirror term and setting it to 0 is: ； Therefore, based on the above formula, we can obtain... ; Then, the solution is obtained from the DC term. , ,in This indicates a DC term mirror image.

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