AI 中文总结
本文研究为Gabor框架找使L1范数最小的对偶窗口问题，因最小化L1范数常与最小化L0范数一致，所以还探究了实现最小L1范数的对偶Gabor窗口的支撑。
AI 中文摘要
众所周知，对于L2中的Gabor框架，规范对偶窗口是具有最小L2范数的对偶窗口。本文中，我们解决为Gabor框架寻找使L1范数最小化的对偶窗口的问题。由于已表明最小化L1范数通常与最小化L0范数一致，我们还研究了实现最小L1范数的对偶Gabor窗口的支撑。
英文摘要
It is well-known that for a Gabor frame in L2, the canonical dual window is the dual window with the minimal L2-norm. In this paper, we address the problem of finding dual windows for a Gabor frame that minimizes the L1-norm. Since it has been shown that minimizing the L1-norm often coincides with minimizing the L0-norm, we also investigate the support of the dual Gabor window that achieves the minimal L1-norm.
