Signal reconstruction in the presence of side information: The impact of projection kernel design
Signal reconstruction in the presence of side information: The impact of projection kernel design
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DOI：
10.1109/icassp.2016.7472552
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发表时间：
2016-03
期刊：
影响因子：
--
通讯作者：
Meng-Yang Chen;F. Renna;M. Rodrigues
中科院分区：
文献类型：
--
作者：
Meng-Yang Chen;F. Renna;M. Rodrigues
本文研究了投影设计对边信息存在下从低维测量重构高维信号的影响。特别地，我们假设感兴趣的信号和边信息都由联合高斯混合模型（GMM）分布描述。尖锐的必要和充分条件的测量需要保证的平均重建误差接近零，在低噪声制度的数量推导出，对于这两种情况下，当侧信息是在解码器或在解码器和编码器。数值结果也展示了投影设计的应用程序与真实的成像数据的边信息的存在下的影响。
This paper investigates the impact of projection design on the reconstruction of high-dimensional signals from low-dimensional measurements in the presence of side information. In particular, we assume that both the signal of interest and the side information are described by a joint Gaussian mixture model (GMM) distribution. Sharp necessary and sufficient conditions on the number of measurements needed to guarantee that the average reconstruction error approaches zero in the low-noise regime are derived, for both cases when the side information is available at the decoder or at the decoder and encoder. Numerical results are also presented to showcase the impact of projection design on applications with real imaging data in the presence of side information.