Accession Number : ADP006628

Title :   The Hyperbolic Transformations in Signal Processing and Control,

Corporate Author : CORNELL UNIV ITHACA NY DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Bojanczyk, Adam ; Steinhardt, Allan O.

Report Date : MAR 1992

Pagination or Media Count : 9

Abstract : The difference X = A1+A1 - A2+A2 of two matrix outer products Al+Al and A2+A2 arises in regression problems, in signal processing in the context of bearing estimation, and other applications. It is of practical interest to consider two problems related to the matrix X. The first problem is to find the triangular decomposition of X, the second problem is to find the eigendecomposition of X. For numerical reasons it is desirable not to form explicitly the products A1+A1 and A2+A2. In this paper we describe how these two problems can be solved with the help of hyperbolic type transformations.

Descriptors :   *SIGNAL PROCESSING, *TRANSFORMATIONS(MATHEMATICS), *ELECTRICAL ENGINEERING, BEARINGS, DECOMPOSITION, PAPER, PROCESSING, SIGNALS, TRANSFORMATIONS.

Subject Categories : Electricity and Magnetism
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE