Study of harmonic analysis and applications to multidimensional signal processing

本研究计画的主题为谐波分析及其在多维讯号处理上的应用。我建造了新的框架（与S.Arai）。应用它们，我们成功地发现了新井分形螺旋错觉中的错觉成分，并从错觉中去除了错觉成分（新井和新井（1），出版中）。Kakenhi News（2009，vol.1）报道了这一结果。此外，还得到了与框架算子和多维多相矩阵有关的一些结果。

The main theme of this research project is harmonic analysis and its applications to multidimensional signal processing. I constructed new framelets (with S.Arai). Applying them, we succeeded in the discovery of illusory components in Arai's fractal spiral illusion, and in the removal of illusory components from the illusion (Arai and Arai (1), in press). This result was reported by Kakenhi News (2009, vol.1). Moreover, I obtained some results related to frame operators and multidimensional polyphase matrices.