Accession Number:

ADA229300

Title:

Estimation of the Time of Arrival of Underwater Acoustic Signals by Spline Functions. 1. An Introduction

Descriptive Note:

Memorandum rept.

Corporate Author:

TEXAS A AND M UNIV COLLEGE STATION

Personal Author(s):

Report Date:

1990-10-01

Pagination or Media Count:

40.0

Abstract:

The underwater acoustic signal is represented by a spline curve whose initial knot lies in the interval of measurement so that it may be used to determine the time-of-arrival of the acoustic signal. The first section is devoted to demonstrate a computational procedure of spline functions using the Bernstein representations, so that the coefficient matrices in the penalized least-squares problem can be determined much more efficiently. Since the coefficient matrices are usually singular when the discrete least-squares problem is considered. the second section discusses the singular value decomposition and Moore-Penroe inverses. The extremal problem that characterizes the time-of-arrival is discussed in Section 3, where existence, uniqueness, and characterization results are obtained. In particular, when linear splines are used, the extremal problem has a very elegant formulation that can be easily implemented in the computer. KR

Subject Categories:

  • Physical and Dynamic Oceanography
  • Statistics and Probability
  • Acoustic Detection and Detectors

Distribution Statement:

APPROVED FOR PUBLIC RELEASE