In this paper, improved channel gain delay estimation strategies are investigated when practical pulse shapes with finite block length and transmission bandwidth are employed. Pilot-aided channel estimation with an augmented atomic norm based approach is proposed to promote the low rank structure of the time-varying narrowband leaked channel. All the channel parameters, i.e., delays, Doppler shifts, and channel gains are recovered. Design choices which ensure unique estimates of channel parameters for rectangular, Gaussian, and root-raised-cosine pulse shapes are examined in the noiseless case, respectively. Furthermore, a perturbation analysis is conducted to measure the impact of noise and further design choices for parameters are proposed to mitigate the effects of noise. Finally, numerical results verify the theoretical analysis and show performance improvements over the previously proposed method.

中文翻译：

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改进的基于原子范数的时变多径信道估计


在本文中，当采用具有有限块长度和传输带宽的实际脉冲形状时，研究了改进的信道增益延迟估计策略。提出了基于增强原子范数的导频辅助信道估计，以促进时变窄带泄漏信道的低秩结构。所有信道参数，即延迟、多普勒频移和信道增益都被恢复。分别在无噪声情况下检查确保对矩形、高斯和根升余弦脉冲形状的通道参数进行独特估计的设计选择。此外，还进行了扰动分析来测量噪声的影响，并提出了进一步的参数设计选择以减轻噪声的影响。最后，数值结果验证了理论分析，并显示出相对于先前提出的方法的性能改进。