The Morlet Wavelet Density Degree of the Linear Regress Processes with Random Coefficient
Xuewen Xia · 2010
With the rapid development of computerized scientific instruments comes a wide variety of interesting problems for data analysis and signal processing.In fields ranging from Extragalactic Astronomy to Molecular Spectroscopy to Medical Imaging to computer vision,One must recover a signal,curve,image,spectrum,or density from incomplete,indirect,and noisy data .Wavelets have contributed to this already intensely developed and rapidly advancing field . Wavelet analysis is a remarkable tool for analyzing function of one or several variables that appear in mathematics or in signal and image processing. With hindsight the wavelet transform can be viewed as diverse as mathematics, physics and electrical engineering .The basic idea is to use a family of building blocks to represent the object at hand in an efficient and insightful way, the building blocks come in different sizes, and are suitable for describing features with a resolution commensurate with their sizes. Recently some persons have studied wavelet problems of stochastic process or stochastic system (see[1]-[12]).In this paper,we study a class of random processes using wavelet analysis methods.