Daublets及其谱的近似方法
Close Approximations for Daublets and their Spectra
AI总结：
本文提出了一种新的方法，用于近似由FIR滤波器衍生出的紧支撑小波及其谱，通过分析这些近似小波的频谱特性，为小波合成和连续小波系统应用提供了新的工具。
摘要：
本文提供了一种新的视角，用于研究由FIR滤波器衍生出的紧支撑小波。尽管这些小波是连续小波，但它们的分析表达式却缺乏。本文引入了Daublets（Daubechies小波）及其谱的近似方法。通过利用这些新分析表达式生成的scalograms来研究Daublets的频率检测特性。这些近似Daublets已在Matlab小波工具箱中实现，并展示了几个scalograms。这种方法对于从硬件合成小波或应用于基于连续小波系统的应用，如小波OFDM，具有重要价值。
英文摘要：
This paper offers a new regard on compactly supported wavelets derived from FIR filters. Although being continuous wavelets, analytical formulation are lacking for such wavelets. Close approximations for daublets (Daubechies wavelets) and their spectra are introduced here. The frequency detection properties of daublets are investigated through scalograms derived from these new analytical expressions. These near-daublets have been implemented on the Matlab wavelet toolbox and a few scalograms presented. This approach can be valuable for wavelet synthesis from hardware or for application involving continuous wavelet-based systems, such as wavelet OFDM.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
