On the shift property of DCT's and DST's
Patrick C. Y. Yip, K.R. Rao · IEEE Transactions on Acoustics Speech and Signal Processing · 1987
The relationship between the family of DCT's and DST's of original sequence and shifted sequences is developed. While these properties are not as simple as the case for the DFT, they are still useful for processing long streams of data sequences where time-varying filtering is required.