Sequential phase feeding algorithm with minimal beam pointing error for centrosymmetric planar array antenna

Zhang, Renli; Wu, Yixin; Bian, Ziyi; Sheng, Weixing

doi:10.1002/mmce.22241

Cited by 4 publications

(9 citation statements)

References 15 publications

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“…In this section, the beam-pointing accuracy and computation load of the PTC method are evaluated and compared with those of the rounding, GA [18], SPFA [23], and APAM [13] methods. Then the experiment results from an X-band phased array radar system are given to demonstrate the efficiency of the PTC method.…”

Section: Performance Evaluationmentioning

confidence: 99%

“…A two‐dimensional quantisation method independently adjusts the phase of each element in a plane perpendicular to the scan plane [22], this method improves the beam‐pointing accuracy but lacks generality for planar arrays. A sequential phase feeding algorithm (SPFA) sequentially quantifies the phase shift of each element through truncating or carrying to achieve a smaller beam pointing error, and improves the beam pointing accuracy for the centrosymmetric planar array antennas [23].…”

Section: Introductionmentioning

confidence: 99%

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Periodic template compensation phase feeding method for phased array antenna

Zhang

Qiu

2022

IET Microwaves Antenna & Prop

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To minimise the beam‐pointing error caused by the digital phase shifter in phased array antenna systems, a periodic template compensation (PTC) phase feeding algorithm is proposed in this study. In the PTC, the phase quantisation error period of the rounding method in the u‐v dimension is derived as Pu and Pv. Then, the beam‐pointing area is divided into multiple regions with a size of Pu × Pv. In the phase quantisation error period of {u,v}∈{[0,Pu), [0,Pv)}, a sequential phase feeding method is derived to minimise the beam‐pointing error and a compensation matrix template is constructed. The phase feeding code of the PTC is the summation of that of the rounding method and corresponding compensation vector selected periodically from the compensation matrix template. Simulation results show that the maximal beam‐pointing error of the PTC method is 26% of that of the rounding method for a 16 × 16 rectangular array. Azimuth measurement results from a phased array radar system verify the efficiency of the proposed method. Involving only integer multiplication, addition and shift processing, implementing the PTC algorithm in phased array systems is very easy.

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Section: Performance Evaluationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Periodic template compensation phase feeding method for phased array antenna

Zhang

Qiu

2022

IET Microwaves Antenna & Prop

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“…The phase feedings of phase shifters were optimised in Refs. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] to improve the beam steering accuracy.…”

Section: Introductionmentioning

confidence: 99%

“…The intelligent optimisation methods [12][13][14][15], ILP methods [17,18], SCCPFM [21] and SPF method [22] can only optimise the phase shifts in each steering direction offline and store the phase control codes in the memory of the beam controller due to the high computational complexity. During the working process of the phased array radar, the beam controller searches the memory to obtain the corresponding phase control code of the beam steering direction and assigns it to the phase shifter.…”

Section: Introductionmentioning

confidence: 99%

Random symmetric phase feeding compensation method for phased array radar based on equivalent monopulse model

Qiu

Zhang

et al. 2023

IET Microwaves Antenna & Prop

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In a phased array radar, the phase quantisation error of phase shifters can lead to the beam steering error (BSE) between the predetermined and the actual directions. Existing researches on phase feeding optimisation suffer from high computational complexity and large storage space. In this study, an equivalent monopulse method is first proposed to yield the BSE with O(N) complexity by formulating the equation between the phase quantisation error and BSE. Further, a symmetric phase feeding compensation (SPFC) method is developed on the basis of the proposed scheme to cancel the phase quantisation error employing a symmetric planar array. Subsequently, a random phase compensation method is formulated to further reduce the residual quantisation errors of SPFC, and a random symmetric phase feeding compensation (RSPFC) method is proposed. The proposed SPFC and RSPFC methods possess O(N) complexities and allow for parallel calculation of element phase feedings, thus making the proposed methods more applicable on the embedded beam controller of a phased array radar. Based on computer simulations and phased array radar experiments, the proposed SPFC and RSPFC methods are validated to yield superior beam pointing accuracies and can improve the fluctuations in angle tracking.

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“…They established an accurate gain prediction model based on the improved extreme gradient boosting algorithm and transfer learning method, and proposed a compensation method to control the error [20]. Aiming at the beam pointing error of phased arrays, Zhang et al proposed a sequential phase feeding algorithm with the minimum beam pointing error for centrally symmetric planar array antennas, and deduced the theoretical expression of the beam pointing error caused by phase quantization errors [21]. Lee and Song conducted a detailed mathematical analysis of the array antennas with the quantization error and interval error, and theoretically obtained the statistical characteristics of the radiation pattern, which is in good agreement with the simulation results [22].…”

Section: Introductionmentioning

confidence: 99%

Anti-Error Robust Pattern Synthesis Algorithm in Time-Modulated Array Antenna

et al. 2022

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Compared with the traditional antenna array, the time-modulated array can increase the flexibility of the array by adding time switches. However, due to the introduction of time switches, the timemodulated array antenna is more sensitive to random errors than the traditional array. Besides random errors caused by unavoidable factors such as array deformation and defects of processing and assembly in the traditional array, time-modulation parameter errors will be introduced by time switches. As errors in the traditional array can degrade the performance of the array, time-modulation parameter errors can lower the performance of the array pattern as well, which will lift the side-lobe and increase the dynamic range of the side-lobe. Aiming at the time-modulation parameter errors in the time-modulated array, an anti-error robust pattern synthesis algorithm (AERPS) based on the convex optimization (CVX) is proposed in this paper. In the algorithm, the optimization model for the pattern synthesis of the time-modulated array is established and analyzed. Then the model is divided into two sub-models of the center frequency and the first sideband, and the convex optimization solution is first performed on the center frequency model. After the center frequency model is solved, the convex optimization solution is used to solve the first-order sideband model to obtain the final results. The simulation results of the time-modulated array in this paper show that the algorithm can reduce the average value and the dynamic range of the normalized side-lobe level, thus verifying the effectiveness and the robustness of the algorithm.

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Sequential phase feeding algorithm with minimal beam pointing error for centrosymmetric planar array antenna

Cited by 4 publications

References 15 publications

Periodic template compensation phase feeding method for phased array antenna

Periodic template compensation phase feeding method for phased array antenna

Random symmetric phase feeding compensation method for phased array radar based on equivalent monopulse model

Anti-Error Robust Pattern Synthesis Algorithm in Time-Modulated Array Antenna

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