Analysis and Optimization of Signal Reconstruction Modeling Based on Mixed Analog-digital Subband Division
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摘要: 为了应对宽带阻塞式干扰，通信干扰对消系统通常应用基于子带划分的干扰对消技术来提升宽带干扰抑制能力，同时为了兼顾通信性能，将子带信号重构恢复为通信信号，保障通信质量。该文采用模拟电路与数字处理相结合的方式，搭建了子带划分与信号重构框架，通过模拟滤波器实现第1级宽滤波，减小信号处理带宽，利用数字滤波器完成第2级窄滤波，进一步提高信号信噪比。针对通信信号在子带划分过程中，存在跨子带重构失真的问题，建立了子带划分与信号重构系统时频域模型，分析子带间幅相不一致对信号重构的影响。为了解决重构信号的幅相不一致问题，提出了相位校准方法与滤波器幅频优化方法，从幅度和相位两方面同时保证跨子带信号的近似无失真重构。仿真与实验结果表明，该文所设计的滤波器幅频响应具有良好的重构精度，并且解决了跨子带信号重构的相位失真问题，有效降低了重构通信信号的误码率。Abstract: In order to cope with broadband blocking interference, the integrated communication and interference cancellation system usually applies the interference cancellation technology based on subband division to improve the broadband interference suppression capability. To guarantee the communication performance meanwhile, it is required to reconstruct the subband signal to communication signal. In this paper, the combination of analog circuits and digital processing is used to build a subband division and signal reconstruction framework. The wide filtering in the first-stage is realized through analog filters to reduce the signal processing bandwidth. The narrow filtering in the second-stage is completed by digital filters to improve further the signal-to-noise ratio. This paper focusses on the problem of cross-subband reconstruction distortion in the communication signals’ subband division process. The time-frequency domain model of the subband division and signal reconstruction system is established to analyze the influence of the amplitude and phase inconsistency between subbands. To solve the inconsistency problem, the phase calibration method and the filter amplitude-frequency optimization method are proposed. The methods are to ensure the approximately distortion-free reconstruction of the cross-subband signal. Simulation and experiment results show that the amplitude-frequency response of the filter designed in the paper has good reconstruction accuracy. The phase calibration method solves the phase distortion problem of cross-subband signal reconstruction, and reduces effectively the bit error rate of reconstructed communication signals.
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算法1 相位校准方法 目的：求解相位补偿量，配平相邻子带的相位 输入：校准信号 输出：相位补偿项 步骤： (1) 令 $ i = 1 $； (2) 子带 $ i $的中心频点为 $ {f_i} $，相邻子带 $ i + 1 $的中心频点为 $ {f_{i + 1}} $，产生一个频率为 $ {f_0} = ({f_i} + {f_{i + 1}})/2 $的校准信号，即校准信号既可以划分
到子带 $ i $，又可以划分到子带 $ i + 1 $；(3) 将校准信号注入到射频调理电路前端，进入子带划分与信号重构链路； (4) 在信号合成前，通过快速傅里叶变换得到子带 $ i $与 $ i + 1 $的校准信号频谱； (5) 抽取频谱中频率为 $ {f_0} $的复数分量，计算其相位 $ {\varphi _i} $, $ {\varphi _{i + 1}} $，作差后得到相邻子带的相位差 $ \Delta \varphi = {\varphi _{i + 1}} - {\varphi _i} $； (6) 计算出相位补偿量 $ {{\text{e}}^{{\text{j}}\Delta \varphi }} $配平 $ i + 1 $子带的相移； (7) 令 $ i = i + 1 $； (8) 重复步骤(2)～(7)，直到 $ i = K \times M - 1 $(其中 $ K $为模拟子带数， $ M $为每个模拟子带中包含的数字子带数)。 
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表 1 预选滤波器组通带范围与中心频率(MHz)
预选滤波器组 预选滤波器① 预选滤波器② 预选滤波器③ 预选滤波器④ 起始频率 458 498 538 578 截止频率 502 542 582 622 中心频率 480 520 560 600
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