Park Yongsung, Seong Woojae, Choo Youngmin
Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul, 151-744, Korea
Department of Naval Architecture and Ocean Engineering and Research Institute of Marine System Engineering, Seoul National University, Seoul, 151-744, Korea
J Acoust Soc Am. 2017 Jun;141(6):EL585. doi: 10.1121/1.4985612.
This paper describes a time delay estimation (TDE) technique using compressive sensing (CS) off the grid, which estimates the channel impulse response in a continuous time domain. The TDE can be formulated into a sparse signal reconstruction problem where the CS technique can be applied. Previous works have used standard finite dimensional CS with evenly discretized grids. However, the actual time delays will not always lie on the discrete grid, and this mismatch between the actual and discretized time delays results in reconstruction degradation. To overcome the basis mismatch, a TDE technique using an off the grid CS framework is proposed by modifying the scheme in the off the grid direction of arrival (DOA) estimation [Xenaki and Gerstoft, J. Acoust. Soc. Am. 137(4), 1923-1935 (2015)]. The effectiveness of the suggested method is demonstrated on real data from a water tank experiment. The off the grid CS TDE is shown to have super-resolution, which enables close arrivals to be distinguished.
本文描述了一种使用离网格压缩感知（CS）的时延估计（TDE）技术，该技术在连续时域中估计信道冲激响应。TDE可被公式化为一个稀疏信号重构问题，在此可应用CS技术。先前的工作使用了具有均匀离散网格的标准有限维CS。然而，实际时延并非总是位于离散网格上，实际时延与离散化时延之间的这种不匹配会导致重构性能下降。为了克服基不匹配问题，通过修改离网格到达方向（DOA）估计[Xenaki和Gerstoft，《美国声学学会杂志》137(4)，1923 - 1935(2015)]中的方案，提出了一种使用离网格CS框架的TDE技术。在水箱实验的真实数据上验证了所提方法的有效性。结果表明，离网格CS TDE具有超分辨率，能够区分相近的到达信号。
