DISCRETE COSINE TRANSFORM FILTERING

被引：53

作者：

CHITPRASERT, B

RAO, KR

机构：

[1] Department of Electrical Engineering, The University of Texas at Arlington, Arlington

来源：

SIGNAL PROCESSING | 1990年 / 19卷 / 03期

关键词：

DCT; filtering; image compression;

D O I：

10.1016/0165-1684(90)90115-F

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The circular convolution-multiplication relationships for the discrete cosine transform (DCT) similar to that for the discrete Fourier transform (DFT) are developed. The relations are valid only if the filter frequency response is real and even. Two fairly simple relations are developed in this paper. The second relation is simpler than the first one. The multiplication of the DCT of signal sequence and the DFT of filter sequence results in circular convolution of the folded signal sequence and the filter sequence. Thus, it may be used to filter an image in frequency domain as an approximation of the circular convolution in spatial domain. © 1990.

引用

页码：233 / 245

页数：13

共 5 条

[1]

Ahmed, Natarajan, Rao, Discrete cosine transform, IEEE Transactions on Computers, 100-123, pp. 90-93, (1974)

[2]

Chen, Fralick, Image enhancement using cosine transform filtering, Image Sci. Math. Symp., (1976)

[3]

Mannos, Sakrison, The effects of a visual fidelity criterion on the encoding of images, IEEE Transactions on Information Theory, 20 IT, pp. 525-536, (1974)

[4]

Ngan, Clarke, Lowpass filtering in the cosine transform domain, Internat. Conf. on Communi, pp. 31.7.1-31.7.5, (1980)

[5]

Sorensen, Et al., Real-valued fast Fourier transform algorithms, IEEE Trans. Acoust. Speech Signal Process, 35 ASSP, pp. 849-863, (1987)

← 1 →