By Topic

Detection and estimation using the third moment matrix

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Swindlehurst, A.L. ; Inf. Syst. Lab., Stanford Univ., CA, USA ; Kailath, T.

The third moment matrix R3 is proposed as a tool for use in the detection and estimation of phase-coupled sine waves. The advantages of such an approach are that the structure of R3 can be exploited by means of the singular value decomposition (SVD) to estimate directly the number of coupled sine waves and their frequencies. After a brief introduction to the bispectrum and the phase coupling problem, the following key results are presented: (1) The rank of R3 is (asymptotically) equal to the number of coupled sine waves. (2) A pseudobispectrum can be generated using a MUSIC-like algorithm with vectors orthogonal to the (column) signal subspace. (3) The coupled frequencies can be directly estimated from the (row) signal subspace using techniques such as Root-MUSIC or ESPRIT. Examples of simulations using this approach are given

Published in:

Acoustics, Speech, and Signal Processing, 1989. ICASSP-89., 1989 International Conference on

Date of Conference:

23-26 May 1989