【摘要】：現(xiàn)代化的衛(wèi)星導(dǎo)航信號要求在星上高功率放大器之前恒包絡(luò)復(fù)用同頻點甚至臨近的雙頻點/三頻點的多個導(dǎo)航信號分量。最優(yōu)相位恒包絡(luò)發(fā)射(POCET)技術(shù)能夠恒包絡(luò)復(fù)用任意路數(shù)信號且達到最高復(fù)用效率。已見諸報道的POCET最優(yōu)相位搜索的數(shù)值算法存在計算量大、收斂速度慢、當?shù)c遠離最優(yōu)解或要求提高計算精度時難以收斂到局部最優(yōu)解等問題。針對導(dǎo)航信號最優(yōu)恒包絡(luò)復(fù)用論證的需求,首先在優(yōu)化目標函數(shù)中引入增廣拉格朗日乘子法以解決當終止誤差減小無法收斂到局部最優(yōu)解的問題;其次對于搜索步長的確定擯棄了已有的精確線搜索算法而采用基于Armijo準則的非精確線搜索算法,并比較研究了最速下降法、共軛梯度法、擬牛頓法(包括BFGS法和對稱秩1法)等多種搜索方向優(yōu)化算法的優(yōu)缺點和適用性;最后通過對BDS B1頻點不同功率分配下的最優(yōu)相位搜索和合成損耗評估,驗證了改進后算法的精度高、計算量小、收斂性強等優(yōu)點,為導(dǎo)航信號調(diào)制復(fù)用方案的設(shè)計和優(yōu)化提供參考。
[Abstract]:Modern satellite navigation signals require constant envelope multiplexing of multiple navigation signal components at the same frequency point or even adjacent dual-frequency / three-frequency points before the on-board high-power amplifier. Optimal phase constant envelope transmit (POCET) technique is capable of multiplexing any number of signals with constant envelope and achieving the highest multiplexing efficiency. The reported numerical algorithm for POCET optimal phase search has many problems, such as large computational complexity, slow convergence speed and difficulty in converging to local optimal solution when iteration points are far away from the optimal solution or when the computational accuracy is required to be improved. Aiming at the demand of optimal constant envelope multiplexing for navigation signal, an augmented Lagrangian multiplier method is introduced into the optimization objective function to solve the problem that when the termination error is reduced, it can not converge to the local optimal solution. Secondly, the inexact line search algorithm based on Armijo criterion is adopted to determine the search step size, and the steepest descent method and conjugate gradient method are compared. Quasi-Newton method (including BFGS method and symmetric rank 1 method) and other search direction optimization algorithms have their advantages and disadvantages and applicability. Finally, through the optimal phase search and synthesis loss evaluation of BDS B1 frequency points with different power distribution, the advantages of the improved algorithm are verified, such as high accuracy, low computational complexity, strong convergence, and so on. It provides a reference for the design and optimization of the modulation and multiplexing scheme of navigation signal.
【作者單位】： 北京航空航天大學(xué)電子信息工程學(xué)院;
【基金】：國家自然科學(xué)基金(61271197)~~
【分類號】：TN967.1

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