Statistical Signal Analysis Using Wavelets. Year 1 Report,

Abstract

This report discusses the research on "Statistical Signal Analysis Using Wavelets" performed by the Statistical Sciences Division of MathSoft, Inc. for contract N00014- 93-C-0106 with the Office of Naval Research. The overall goals of the research are: Application of wavelets and related transforms to data analysis; Using wavelets as the basis for statistical problems, such as signal extraction, spectral density estimation, isotonic regression, and classification; Research into new transforms and algorithms tailored to meet the needs of data analysis and statistical estimation. The first year of research focused on six specific areas: (1) Applications of wavelets to data of interest to the Navy; (2) Noise removal using wavelets, wavelet packets, and cosine packets; (3) Investigation into new wavelet transforms which are outlier resistant and edge preserving; (4) Development of a framework and tools for the "wavelet approach" towards analysis of signals, images, and other data; (5) Exploration of the use of wavelets as a dimension reduction tool for statistical analysis of very large data sets; (6) Development of algorithms for wavelet analysis. AN

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 17, 1995
Accession Number
ADA298917

Entities

People

  • R. D. Martin

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programs
  • Data Analysis
  • Data Compression
  • Detection
  • Dimensionality Reduction
  • Estimators
  • Gaussian Processes
  • Image Processing
  • Information Processing
  • Information Science
  • Information Theory
  • Inverse Problems
  • Probability
  • Signal Processing
  • Statistical Analysis
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Computer Vision.
  • Regression Analysis.
  • Technical Research and Report Writing.