Title :
Transform coding with backward adaptive updates
Author :
Goyal, Vivek K. ; Zhuang, Jun ; Veiterli, M.
Author_Institution :
Math. of Commun. Res. Dept., Lucent Technol. Bell Labs., Murray Hill, NJ, USA
fDate :
7/1/2000 12:00:00 AM
Abstract :
The Karhunen-Loeve transform (KLT) is optimal for transform coding of a Gaussian source. This is established for all scale-invariant quantizers, generalizing previous results. A backward adaptive technique for combating the data dependence of the KLT is proposed and analyzed. When the adapted transform converges to a KLT, the scheme is universal among transform coders. A variety of convergence results are proven
Keywords :
Gaussian processes; Karhunen-Loeve transforms; adaptive codes; convergence of numerical methods; source coding; transform coding; Gaussian source; Karhunen-Loeve transform; backward adaptive coding structure; backward adaptive updates; convergence results; data dependence; quantization; scale-invariant quantizers; transform coders; transform coding; Adaptive filters; Convergence; Data compression; Decoding; Discrete transforms; Karhunen-Loeve transforms; Quantization; Source coding; Transform coding; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on