An improved pencil-of-functions method and comparisons with traditional methods of pole extraction

Mackay, Andrew J.; McCowen, A.

doi:10.1109/tap.1987.1144117

Cited by 51 publications

(20 citation statements)

References 5 publications

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“…It consists of comparing an unknown target with a set of targets stored in a library. A maximum correlation between two targets means that they are similar or identical depending on the correlation coefficient r u,s (11).…”

Section: A Identification By Correlationmentioning

confidence: 99%

UWB radar and leaky waveguide for fall on track object identification

Mroue¹,

Heddebaut²,

Elbahhar³

et al. 2010

2010 IEEE Radar Conference

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This paper presents a new system for detecting and identifying objects fallen onto railway tracks. The proposed solution is based on an ultra-wideband (UWB) radar technique combined with a slotted waveguide transmission line. A rectangular section, slotted waveguide is maintained all along the railway platform and used as a succession of monostatic radars. A design procedure is described. A procedure of extraction of target's electromagnetic signatures is discussed; simulation results are produced.

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Section: A Identification By Correlationmentioning

confidence: 99%

UWB radar and leaky waveguide for fall on track object identification

Mroue¹,

Heddebaut²,

Elbahhar³

et al. 2010

2010 IEEE Radar Conference

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“…A variety of other techniques for resonance extraction have been introduced, including the pencil-of-function methods [34,48,59] and several nonlinear [38,47,58] and combined linear-nonlinear (7,141 least square approaches. In addition, Ksienski [411 has outlined the benefits of using multiple data sets, while Baum has stressed the importance of incorporating a priori information about the scatterer [36].…”

Section: Extension To Scattered Far Fieldsmentioning

confidence: 99%

Radar Target Discrimination and Identification Using Extinction-Pulses and Single-Mode Extraction Pulses

Chen¹,

Nyquist²,

Rothwell³

1991

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“…2,3 Such characterization provides sufficient information about system damping when its transient response is analyzed. The main subcategories of SEM for extracting systems' complex poles and their associated residues are Prony method, 4 Jain's pencil-of-function (POF) method 5,6 and its improved version, 7 ESPRIT, 8 and generalized pencil-of-function (GPOF).…”

Section: Introductionmentioning

confidence: 99%

Sparse generalized pencil of function and its application to system identification and structural health monitoring

Mohammadi-Ghazi

Büyüköztürk

2016

SPIE Proceedings

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Singularity expansion method (SEM) is a system identification approach with applications in solving inverse scattering problems, electromagnetic interaction problems, remote sensing, and radars. In this approach, the response of a system is represented in terms of its complex poles; therefore, this method not only extracts the fundamental frequencies of the system from the signal, but also provides sufficient information about system's damping if its transient response is analyzed. There are various techniques in SEM among which the generalized pencil-of-function (GPOF) is the computationally most stable and the least sensitive one to noise. However, SEM methods, including GPOF, suffer from imposition of spurious poles on the expansion of signals due to the lack of apriori information about the number of true poles. In this study we address this problem by proposing sparse generalized pencil-of-function (SGPOF). The proposed method excludes the spurious poles through sparsity-based regularization with 1 -norm. This study is backed by numerical examples as well as an application example which employs the proposed technique for structural health monitoring (SHM) and compares the results with other signal processing methods.

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An improved pencil-of-functions method and comparisons with traditional methods of pole extraction

Cited by 51 publications

References 5 publications

UWB radar and leaky waveguide for fall on track object identification

UWB radar and leaky waveguide for fall on track object identification

Radar Target Discrimination and Identification Using Extinction-Pulses and Single-Mode Extraction Pulses

Sparse generalized pencil of function and its application to system identification and structural health monitoring

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