Title :
Discrete cosine transform filtering
Author :
Chitprasert, B. ; Rao, K.R.
Author_Institution :
Compression Labs. Inc., San Jose, CA, USA
Abstract :
Circular convolution-multiplication relationships for the discrete cosine transform (DCT) that are similar to those for the discrete Fourier transform (DFT) are developed. The relations are valid if the filter frequency response is real and even. Two fairly simple relations are developed. 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 can be used to filter an image in the frequency domain as an approximation of circular convolution in the spatial domain
Keywords :
filtering and prediction theory; picture processing; transforms; DCT filtering; DFT; approximation; circular convolution; discrete Fourier transform; discrete cosine transform; filter frequency response; filter sequence; frequency domain; image compression; multiplication; signal sequence; spatial domain; Convolution; Discrete Fourier transforms; Discrete cosine transforms; Filtering; Filters; Frequency domain analysis; Frequency response; Image coding; Low pass filters; Marine vehicles;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on
Conference_Location :
Albuquerque, NM
DOI :
10.1109/ICASSP.1990.115606
