Onchis Darian M, Zappalà Simone
Faculty of Mathematics and Computer Science, West University of Timişoara,Timişoara, Romania; Faculty of Mathematics, University of Vienna, Vienna, Austria.
Faculty of Mathematics, University of Vienna, Vienna, Austria.
Proc Int Symp Symb Numer Algorithms Sci Comput. 2017;19:99-104. doi: 10.1109/SYNASC.2017.00027.
In this paper, we present a constructive realizable procedure for obtaining a multiresolution wavelet-like system in the framework of stability for spline-type spaces, considering only the generators that prominently intersect the spectrum of the signal to be approximated and stable under deformations through frequency shifts. The realizable system constructed in this way, can analyse jointly three different features of a signal namely time, scale and frequency. We present numerical tests and a detailed complexity analysis to compare the performances of our method against standard constructions.
在本文中，我们提出了一种建设性的可实现程序，用于在样条型空间的稳定性框架内获得多分辨率类小波系统，仅考虑那些与待逼近信号的频谱显著相交且在频移变形下稳定的生成元。通过这种方式构建的可实现系统可以联合分析信号的三个不同特征，即时域、尺度和频率。我们进行了数值测试和详细的复杂度分析，以将我们方法的性能与标准构造方法进行比较。
