A high-resolution algorithm for complex spectrum search

I-Tai Lu, Robert C. Qiu, Jaeyoung Kwak

Research output: Contribution to journalArticle

Abstract

The principal aim of this work is to estimate, or to approximate, the complex k-space spectrum of the wave field arriving on a linear array. First, using linear approximation, the location-dependent effect of the wave field magnitudes is modeled as an extra 'loss' factor in the complex spectral variable. This complex spectrum model may provide a better description of the physical process and require less sensor elements than the real spectrum model because of the additional degree of freedom provided by the 'loss' factor. A high-resolution algorithm combining the singular value decomposition method and the eigen-matrix pencil method is then employed to find the complex spectra representing the incoming real spectrum and the location dependent factors of multipath and multimode arrivals. Five key features (noise immunity, robustness, resolution, accuracy, and physical insight) of the proposed algorithm are studied using numerical examples.

Original languageEnglish (US)
Pages (from-to)288-299
Number of pages12
JournalJournal of the Acoustical Society of America
Volume104
Issue number1
DOIs
StatePublished - 1998

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high resolution
immunity
linear arrays
arrivals
degrees of freedom
decomposition
sensors
estimates
matrices
approximation
Physical
Waves
Pencil
Immunity
Spectrality
Robustness
Singular Value Decomposition
Approximation
Sensor

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

A high-resolution algorithm for complex spectrum search. / Lu, I-Tai; Qiu, Robert C.; Kwak, Jaeyoung.

In: Journal of the Acoustical Society of America, Vol. 104, No. 1, 1998, p. 288-299.

Research output: Contribution to journalArticle

Lu, I-Tai ; Qiu, Robert C. ; Kwak, Jaeyoung. / A high-resolution algorithm for complex spectrum search. In: Journal of the Acoustical Society of America. 1998 ; Vol. 104, No. 1. pp. 288-299.
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