幾種離散正、余弦變換的卷積乘積關(guān)系
THE CONVOLUTION-MULTIPLICATION RELATION FOR SEVERAL DISCRETE SINE AND COSINE TRANSFORMS
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摘要: 本文導(dǎo)出第Ⅰ、Ⅱ種奇、偶離散正、余弦變換的變換域乘積與時(shí)域卷積的嚴(yán)格關(guān)系,從而可用這些正弦族正交變換做數(shù)字濾波。
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關(guān)鍵詞:
- 數(shù)字信號(hào)處理; 離散余弦變換; 離散正弦變換; 卷積; 濾波
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. -
Zhongde Wang, B. R. Hunt, Appl. Math. Comput., E6(1985),19-48.[2]王中德,許生龍,電子學(xué)報(bào),13(1985)6,80-83.[3]吳樂(lè)南,成瑜,通信學(xué)報(bào),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]吳樂(lè)南, 關(guān)于幾種離散正、余弦變換的卷積定理,南京工學(xué)院校慶報(bào)告會(huì)論文集(數(shù)字信號(hào)處理研究室),1987.10, pp. 41-60. -
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