Title :
A note on the discrete wavelet transform of second-order processes
Author :
Averkamp, Roland ; Houdré, Christian
Author_Institution :
Inst. fur Math. Stochastik, Freiburg Univ., Germany
fDate :
7/1/2000 12:00:00 AM
Abstract :
Some properties of second-order random processes such as, stationarity and scaling, are characterized via corresponding (multiscale) properties of their discrete wavelet transform. The single scale characterizations valid in the continuous setting do not extend to the discrete setting. Some extensions of these results are also indicated
Keywords :
discrete wavelet transforms; random processes; signal processing; discrete wavelet transform; multiscale properties; scaling; second-order random processes; signal processing; stationary process; Array signal processing; Continuous wavelet transforms; Discrete Fourier transforms; Discrete wavelet transforms; Fourier transforms; Notice of Violation; Random processes; Sampling methods; Signal processing algorithms; Speech processing;
Journal_Title :
Information Theory, IEEE Transactions on