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arXiv 1503.05188physics.ins-det
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新型J-PET仪器中塑料闪烁体产生的信号的压缩传感

Compressive Sensing of Signals Generated in Plastic Scintillators in a Novel J-PET Instrument

L. Raczynski, P. Moskal, P. Kowalski, W. Wislicki, T. Bednarski, P. Bialas, E. Czerwinski, A. Gajos, L. Kaplon, A. Kochanowski, G. Korcyl, J. Kowal, T. Kozik, W… 展开作者

L. Raczynski, P. Moskal, P. Kowalski, W. Wislicki, T. Bednarski, P. Bialas, E. Czerwinski, A. Gajos, L. Kaplon, A. Kochanowski, G. Korcyl, J. Kowal, T. Kozik, W. Krzemien, E. Kubicz, Sz. Niedzwiecki, M. Palka, Z. Rudy, O. Rundel, P. Salabura, N. G. Sharma, M. Silarski, A. S lomski, J. Smyrski, A. Strzelecki, A. Wieczorek, M. Zielinski, N. Zon

摘要:

J-PET扫描仪允许对整个人体进行单床成像,目前正在Jagiellonian大学开发。讨论的检测器提供了飞行时间(TOF)分辨率的改善,由于使用快速塑料衰减器和专用电子允许采样的持续时间为几纳秒的信号的电压域。在本文中,我们表明仅基于几个样本就可以恢复整个信号。为了做到这一点,我们将训练信号合并到Tikhonov正则化框架中,并执行主成分分析分解,这是众所周知的压缩特性。该方法产生一个简单的封闭形式的解析解,不需要迭代处理。此外,从贝叶斯理论中可以很容易地导出正则解的性质,特别是其协方差矩阵。这是引入和证明信号恢复误差计算公式的关键。在本文中,我们表明,平均回收误差是近似成反比的采集样本的数量。

英文摘要:

The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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