Authors' Reply to Comments on “The Inverse S-Transform in Filters With Time-Frequency Localization”
Authors' Reply to Comments on “The Inverse S-Transform in Filters With Time-Frequency Localization”
复制标题
DOI：
10.1109/tsp.2007.896053
复制
发表时间：
2005-11
影响因子：
5.4
通讯作者：
M. Schimmel;J. Gallart
中科院分区：
文献类型：
--
作者：
M. Schimmel;J. Gallart
Pinnegar点在他的评论中的一个错误，在我们的论文的逆S变换。事实上，误差似乎主要应归因于S变换的离散化，而不是我们的逆S变换。Pinnegar的方法基于离散S变换，使用其在频域中的表示。西蒙在一篇附带的论文中指出，无论是使用时域还是频域表达式来离散S变换，都存在差异。因此，两个逆S变换都遭受不同的小伪影。我们出版物的物理学、理解和结论没有变化。
Pinnegar points in his comment to a mistake in our paper on the inverse S-transform. It seems, in fact, that the error should mainly be attributed to the discretization of the S-transform, not to our inverse S-transform. Pinnegar bases his approach on the discrete S-transform by using its representation in the frequency domain. It is shown in an accompanying paper by Simon that there are differences whether one discretizes the S-transform using the time-domain or the frequency-domain expression. As a consequence, both inverse S-transforms suffer from different small artifacts. There are no changes in the physics, understanding, and conclusions of our publication.