几种离散正、余弦变换的卷积乘积关系
THE CONVOLUTION-MULTIPLICATION RELATION FOR SEVERAL DISCRETE SINE AND COSINE TRANSFORMS
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摘要: 本文导出第Ⅰ、Ⅱ种奇、偶离散正、余弦变换的变换域乘积与时域卷积的严格关系,从而可用这些正弦族正交变换做数字滤波。Abstract: Strict relations between the multiplication in transform domain and the convolution in time domain are derived for odd and even discrete sine and cosine transforms of version I and II, thus it is possible to use these orthogonal transforms of the sinusoidal family in digital filtering.
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Zhongde Wang, B. R. Hunt, Appl. Math. Comput., E6(1985),19-48.[2]王中德,许生龙,电子学报,13(1985)6,80-83.[3]吴乐南,成瑜,通信学报,9(1988)1,61-68.[4]W. H. Chen, S. C. Fralick, Image Enhancement Using Cosine Transform Filtering, in Proc. of the Symposium on Current Mathematical Problems in Image Science, Monterey, Ca., Nov.1976, pp. 186-192.[5]吴乐南, 关于几种离散正、余弦变换的卷积定理,南京工学院校庆报告会论文集(数字信号处理研究室),1987.10, pp. 41-60. -
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