TY - JOUR
T1 - In search of "better-than-DCT" unitary transforms for encoding of residual signals
AU - Zhu, Shuyuan
AU - Yeung, Siu Kei Au
AU - Zeng, Bing
N1 - Funding Information:
Manuscript received July 06, 2010; revised September 01, 2010; accepted September 14, 2010. Date of publication September 27, 2010; date of current version October 07, 2010. This work was supported in part by an RGC research grant of the HKSAR government. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Athanassios Sko-dras.
PY - 2010
Y1 - 2010
N2 - It is well known that the discrete cosine transform (DCT) closely approximates the optimal KarhunenLove transform (KLT) under the first-order stationary Markov condition with a strong inter-pixel correlation. However, if the inter-pixel correlation is weak or becomes negative, transforms other than the DCT would possibly become better. In this letter, we present a design framework for finding new unitary transforms according to two principles: 1) they are indeed more efficient than the DCT in encoding of signals with a weak or negative inter-pixel correlation (e.g., the residual signals after motion-compensation or intra- prediction) and 2) each has a fixed transform matrix (i.e., signal-independent) and can be implemented as efficiently as the DCT. Some of the new transforms will be used to demonstrate an improved RD performance in the video coding scenario.
AB - It is well known that the discrete cosine transform (DCT) closely approximates the optimal KarhunenLove transform (KLT) under the first-order stationary Markov condition with a strong inter-pixel correlation. However, if the inter-pixel correlation is weak or becomes negative, transforms other than the DCT would possibly become better. In this letter, we present a design framework for finding new unitary transforms according to two principles: 1) they are indeed more efficient than the DCT in encoding of signals with a weak or negative inter-pixel correlation (e.g., the residual signals after motion-compensation or intra- prediction) and 2) each has a fixed transform matrix (i.e., signal-independent) and can be implemented as efficiently as the DCT. Some of the new transforms will be used to demonstrate an improved RD performance in the video coding scenario.
KW - Discrete cosine transform
KW - KarhunenLove transform
KW - RD coding performance
UR - http://www.scopus.com/inward/record.url?scp=77957920010&partnerID=8YFLogxK
U2 - 10.1109/LSP.2010.2080266
DO - 10.1109/LSP.2010.2080266
M3 - Article
AN - SCOPUS:77957920010
SN - 1070-9908
VL - 17
SP - 961
EP - 964
JO - IEEE Signal Processing Letters
JF - IEEE Signal Processing Letters
IS - 11
M1 - 5585717
ER -