Optimal Adaptive Nonparametric Denoising of Multidimensional - Time Signal

Details Optimal Adaptive Nonparametric Denoising of Multidimensional - Time Signal Optimal Adaptive Nonparametric Denoising of Multidimensional - Time Signal

2008-09-17

arxiv.org/abs/0809.3021v1

Physics

Data Analysis, Statistics and Probability

Scientific paper

We construct an adaptive asymptotically optimal in the classical norm of the space L(2) of square integrable functions non - parametrical multidimensional time defined signal regaining (adaptive filtration, noise canceller) on the background noise via multidimensional truncated Legendre expansion and optimal experience design. The two - dimensional case is known as a picture processing, picture analysis or image processing. We offer a two version of an confidence region building, also adaptive. Our estimates proposed by us have successfully passed experimental tests on problem by simulate of modeled with the use of pseudo-random numbers as well as on real data (of seismic signals etc.) for which our estimations of the different signals were compared with classical estimates obtained by the kernel or wavelets estimations method. The precision of proposed here estimations is better. Our adaptive truncation may be used also for the signal and image compression.

Affiliated with

Also associated with

No associations

Rating

Optimal Adaptive Nonparametric Denoising of Multidimensional - Time Signal does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Optimal Adaptive Nonparametric Denoising of Multidimensional - Time Signal, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal Adaptive Nonparametric Denoising of Multidimensional - Time Signal will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-280371