M-带插值小波包

M- Band Interpolatory Wavelet Packets

中文关键词:  M-带小波  基插值函数  小波包  采样定理

英文关键词:M-band wavelet  cardinal interpolation function  wavelet packets  sampling theorem .

中文摘要:

      本文给出M-带插值小波包的构造.M-带插值小波包是根据基插值函数建立的迭代函数序列进行伸缩平移的空间序列.这种小波包可使信号分解更为精细,并具有更好的局部性.由此建立了这种小波包子空间上的近似采样定理.

英文摘要:

      In this paper, we present a construction of M-band interpolatory wavelet packets. M-band interpolatory wavelet packets is a sequence space spanned by dilation translates of a iterate function sequence obtained by a cardinal interpolation function. The wavelet packets provide a finer decomposition for a given signal and give a better localization. Hence approximated sampling theorem in the wavelet packets space is obtained.