离散余弦列率滤波器的设计及应用

为在信号滤波领域发挥离散余弦变换（ＤＣＴ）潜在的优良特性，提出了离散余弦列率滤波的时域卷积算法，引入一种新型的线性相位数字滤波器－离散余弦率滤波器（ＤＣＳＦ）导出了任意长度一维和二维ＤＣＳＦ的设计公式，讨论了这种滤波器在广义标量维纳滤波和倍频程于带滤波中的应用，实验结果表明，ＤＣＳＦ可实现无形波失真的良好滤波效果，ＤＣＳＦ滤波算法简单，其计算量（乘法和加法）仅为采用快速ＤＣＴ（ＦＣＴ）的算法的１／

DESIGN AND APPLICATION OF THE DISCRETE COSINE SEQUENCY FILTERS

In order to fully develop potential advantages of the discrete cosine transform (DCT) in the field of signal filtering as well,a convolution algorithm in temporal domain for the discrete cosine sequency filtering is proposed and a new linear phase digital filter discrete cosine sequency filter (DCSF) is introduced.The formulas for designing the one and two dimensional DCSFs with arbitrary length are derived.Its applications in generalized scalar Wiener filtering and octave sub band filtering are discussed.The experimental results show that the DCSF is able to achieve favorable filtering effects without waveform distortion.Due to simple algorithm,the number of operations (multiplications and additions) for the DCSF filtering is only about one fourth of which using the fast DCT(FCT) algorithm.Form the concept of DCSF a new method for designing linear phase digital filters is deduced on the basis of the sequency analysis.It is much more simpler and forthright than the common design based on the discrete Fourier transform (DFT).It will be extensively adopted in the digital signal processing field including digital filtering,data compression,feature selection and so on.