摘要
离散余弦变换(DCT)具有优于傅里叶变换、哈尔变换等正交变换的高度解相关性,为了充分发挥DCT在信号滤波中的应用,提出基于DCT的严格零相位的一维全重叠频域滤波器(AOFD)的概念并给出与其对应的FIR滤波器结构.理论证明了滤波器零相位、对变换域抽样序列具有可加性和可形成严格互补子带的多分辨率分析等重要性质.实验中,通过对图像的多分辨率分析表明,AOFD可实现无波形失真的滤波效果.
Discrete cosine transform (DCT) is superior to Discrete Fourier Transform DFT,Harr Transfrom in decorrelation signals. In order to fully exploit the potential advantages of DCT in the field of signals filtering, a novel idea of 1-D all overlap frequency domain (AOFD) filter based on DCT which has strict zero phase, is proposed. The corresponding FIR model of AOFD is given. Several important characteristics as zero-phased,addictivity as to sampling sequence in frequency domain and formative multiresolution analysis with strict complementary subbands are proven in theory. Through the analysis of the image with multiresolutions, the experiment results show that AOFD is able to achieve favorable filtering effects without waveform distortion.
出处
《天津大学学报（自然科学与工程技术版）》
EI
CAS
CSCD
北大核心
2004年第12期1110-1114,共5页
Journal of Tianjin University：Science and Technology
基金
天津大学"教育振兴计划"资助项目.
