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在应用中通常希望正交小波滤波组在具有完美重建和一定阶消失矩的同时,也具备最优的频谱特征。为达到这双重目的,提出一种新的基于多项式优化理论的正交小波滤波器组设计方法,该方法可以保证计算出的滤波器组具有获得全局最优频率特征,并且设计出的滤波器与等长的Daubechies正交小波滤波器相比较具有更快速的过渡带滚降。
In application, it is usually hoped that Orthogonal Wavelet Filter (DWT) will have the best spectral characteristics while having perfectly reconstructed and certain order vanishing moments. In order to achieve this dual purpose, a new design method of orthogonal wavelet filter bank based on polynomial optimization theory is proposed, which can ensure that the calculated filter bank has global optimal frequency characteristics and the designed filter and Equal-length Daubechies orthogonal wavelet filters have a faster transition band roll-off.