Direct recursive structures for computing radix-r two-dimensional DCT/IDCT/DST/IDST

Che Hong Chen, Bin Da Liu, Jar Ferr Yang

研究成果: Article

21 引文 斯高帕斯(Scopus)

摘要

In this paper, new recursive structures for computing radix-r two-dimensional (2-D) discrete cosine transform (DCT) and 2-D inverse DCT (IDCT) are proposed. The 2-D DCT/IDCT are first decomposed into cosine-cosine and sine-sine transforms. Based on indexes of transform bases, the regular pre-addition preprocess is established and the recursive structures for 2-D DCT/IDCT, which can be realized in a second-order infinite-impulse response (IIR) filter, are derived without involving any transposition procedure. For computation of 2-D DCT/IDCT, the recursive loops of the proposed structures are less than that of one-dimensional DCT/IDCT recursive structures, which require data transposition to achieve the so-called row-column approach. With advantages of fewer recursive loops and no transposition, the proposed recursive structures achieve more accurate results and less power consumption than the existed methods. The regular and modular properties are suitable for very large-scale integration (VLSI) implementation. By using similar procedures, the recursive structures for 2-D DST and 2-D IDST are also proposed.

原文English
頁(從 - 到)2017-2030
頁數14
期刊IEEE Transactions on Circuits and Systems I: Regular Papers
51
發行號10
DOIs
出版狀態Published - 2004 十月 1

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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