A UNITARILY CONSTRAINED TOTAL LEAST-SQUARES PROBLEM IN SIGNAL-PROCESSING

被引：18

作者：

ARUN, KS ^{[1
]}

机构：

[1] UNIV ILLINOIS, DEPT ELECT & COMP ENGN, URBANA, IL 61801 USA

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1992年 / 13卷 / 03期

关键词：

TOTAL LEAST SQUARES; ORTHOGONAL PROCRUSTES PROBLEM; SINUSOID RETRIEVAL; TOEPLITZ APPROXIMATION; MOTION PARAMETER ESTIMATION; ROTATION MATRICES; NARROW BAND DIRECTION FINDING; UNITARY CONSTRAINT;

D O I：

10.1137/0613046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem addressed here is the determination of the total least squares solution, subject to a unitary constraint, of an overdetermined, inconsistent, linear system of equations. The problem arises in many signal processing applications, three of which are briefly presented and studied here. The solution to the constrained total least squares problem is seen to be the same as the solution to the orthogonal Procrustes problem.

引用

页码：729 / 745

页数：17

共 24 条

[1]

[Anonymous], 1980, LINEAR SYSTEMS

[2] LEAST-SQUARES FITTING OF 2 3-D POINT SETS [J].

ARUN, KS ;

HUANG, TS ;

BLOSTEIN, SD .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1987, 9 (05) :699-700

[3]

ARUN KS, 1988, 1988 P IEEE INT C AS, P2352

[4] OPTIMALITY OF HIGH-RESOLUTION ARRAY-PROCESSING USING THE EIGENSYSTEM APPROACH [J].

BIENVENU, G ;

KOPP, L .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1983, 31 (05) :1235-1248

[5]

Blostein S. D., 1984, First Conference on Artificial Intelligence Applications (Cat. No. 84CH2107-1), P246

[6]

Chamberlain J., 1979, PRINCIPLES INTERFERO

[7] RADIO INTERFEROMETRY AT ONE-THOUSANDTH SECOND OF ARC [J].

COHEN, MH ;

JAUNCEY, DL ;

KELLERMANN, KI ;

CLARK, BG .

SCIENCE, 1968, 162 (3849) :88-+

[8] APPLICATIONS OF TENSOR THEORY TO OBJECT RECOGNITION AND ORIENTATION DETERMINATION [J].

CYGANSKI, D ;

ORR, JA .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1985, 7 (06) :662-673

[9]

Gantmacher, 1959, THEORY MATRICES, V2

[10]

Golub G.H., 1983, MATRIX COMPUTATIONS

← 1 2 3 →