On stationarizability for nonstationary 2-D random fields using discrete wavelet transforms.
basic_science · Level V
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- Record sourced from PubMed, PMID 18276346.
- Also identified by DOI 10.1109/83.709667.
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Abstract
The emphasis in this article is on the study of nonstationary two-dimensional (2-D) random fields with wide-sense stationary increments, wide-sense stationary jumps, and 2-D fractional Brownian motion (fBm) fields. The effort made in this work is to develop a realizable method of stationarization provided for nonstationary 2-D random fields. We also present the correlation functions of the discrete wavelet transform relating to 2-D fBm fields that will decay hyperbolically fast.