Enhancement of Poles in Spectral Analysis

Fung I. Tseng, Tapan Kumar Sarkar

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper presents a new technique for detecting a small pole in the presence of a nearby strong pole. By simultaneously applying the chirp z-transform (CZT) and a recently developed window, the new technique is shown to be able to detect and resolve a small pole. The CZT is efficient since it employs the fast Fourier transform (FFT) to evaluate a convolution. But unlike the FFT which is limited to the evaluation of the spectrum on the jw-axis, the CZT can evaluate the z-transform on the whole complex plane. And with the use of the new window, which is designed to have a near-sidelobe level of any specified value, the CZT is shown to be able to resolve two closely spaced poles with a large difference in amplitudes. Unlike the Prony's method, the new technique does not require predetermining the system order. No matrix inversion or solution of polynomial roots is required. Further, the new technique is a linear operation. Thus even under noisy environments it yields accurate, stable results for extraction of poles from transient response data.

Original languageEnglish (US)
Pages (from-to)161-168
Number of pages8
JournalIEEE Transactions on Geoscience and Remote Sensing
VolumeGE-20
Issue number2
DOIs
StatePublished - 1982
Externally publishedYes

Fingerprint

Spectrum analysis
spectral analysis
spectrum analysis
Poles
chirp
poles
transform
Mathematical transformations
augmentation
Fast Fourier transforms
Fourier transform
sidelobes
transient response
Convolution
convolution integrals
Transient analysis
polynomials
Polynomials
inversions
matrix

ASJC Scopus subject areas

  • Earth and Planetary Sciences(all)
  • Electrical and Electronic Engineering
  • Computers in Earth Sciences
  • Geochemistry and Petrology
  • Geophysics

Cite this

Enhancement of Poles in Spectral Analysis. / Tseng, Fung I.; Sarkar, Tapan Kumar.

In: IEEE Transactions on Geoscience and Remote Sensing, Vol. GE-20, No. 2, 1982, p. 161-168.

Research output: Contribution to journalArticle

Tseng, Fung I. ; Sarkar, Tapan Kumar. / Enhancement of Poles in Spectral Analysis. In: IEEE Transactions on Geoscience and Remote Sensing. 1982 ; Vol. GE-20, No. 2. pp. 161-168.
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