Estimation of the Time of Arrival of Underwater Acoustic Signals by Spline Functions. 2. Algorithms for Noisy Data

Abstract

The spline model in the previous report with the same title but a different subtitle (I: An Introduction) is modified by introducing a stacked initial knot, to represent the time-of-arrival, so that higher order splines with possibly non-zero derivatives at the initial knot can be used to represent acoustic signals with sharp increase in magnitude at the time-of-arrival. The main objective of this report is to provide two useful algorithms for determining the time-of-arrival using this modified (adaptive) spline model, when the acoustic signal to be measured is contaminated with noise. All relevant matrices in the penalized least-squares optimization model are analyzed so that the method of generalized cross-validation can be modified and extended for our study. Algorithms base on SVD and tridiagonalization with illustrative flow charts are given. (kr)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1990
Accession Number
ADA227859

Entities

People

  • Charles K. Chui

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustic Signals
  • Algorithms
  • Coefficients
  • Computations
  • Eigenvalues
  • Equations
  • Estimators
  • Heuristic Methods
  • Low Noise
  • Military Research
  • Numbers
  • Optimal Estimators
  • Square Roots
  • Time Intervals
  • Two Dimensional
  • Universities
  • Validation

Fields of Study

  • Engineering

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