对于一对对偶框架多尺度分析,借助于滤波器,我们构造一对对偶框架小波和一对拟双正交框架小波,并且指出一对对偶框架小波和一对拟双正交框架小波的滤波器所满足的充分必要条件.

For a pair of dual frame multiresolution analyses,we construct a pair of dual frame wavelets and a pair of quasi-biorthogonal frame wavelets with the help of filter banks.Furthermore,we show necessary and sufficient conditions satisfied by filter bands of a pair of dual frame wavelets and a pair of quasi-biorthogonal frame wavelets.