报告题目：Approximation of Analog Signals from Noisy and Blurry Data
时 间：2017年5月18日（星期四）上午10:30-12:00
报 告 人：杨建斌副教授
地 点：18-918（理学院会议室）
摘 要：We are now living in a digital world. Digital signals are usually sampled from analog signals and used to store and transmit information. Ideally, the accurate discrete values $\bold u_n$ are observed from an unknown analog signal $u^{\ast}$. However, due to sampling measurements and instruments, store and transmission equipment, sampling noise and degeneracy is inevitable. In fact, the noisy samples $\bold y_n:=\bold A_n \bold u_n+ \bm\epsilon_n$ are observed, where $\bold A_n$ represents degeneracy and $\bm{\epsilon}_n$ are the additive noise. We are interested in two problems. One is when given $\bold y_n$, how to find $\bold u_n$. The other is how to approximate and interpret $u^{\ast}$ from $\bold u_n$.
专家简介：杨建斌，浙江大学应用数学博士，新加坡国立大学数学系博士后。现为河海大学副教授，硕士生导师。目前研究兴趣主要集中在小波分析及应用、图像处理、采样理论、生物计算等领域。在Applied and Computational Harmonic Analysis，Journal of Approximation Theory，Inverse Problems and Imaging 等期刊发表多篇论文。
