Analysis of multipath channel delay estimation using subspace fitting

Tarik Kazaz; Jac Romme; Gerard J.M. Janssen; Alle-Jan van der Veen

doi:10.1109/IEEECONF51394.2020.9443360

Analysis of multipath channel delay estimation using subspace fitting

Tarik Kazaz, Jac Romme, Gerard J.M. Janssen, Alle-Jan van der Veen

Signal Processing Systems

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

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Abstract

The presence of rich scattering in indoor and urban radio propagation scenarios may cause a high arrival density of multipath components (MPCs). Often the MPCs arrive in clusters at the receiver, where MPCs within one cluster have similar angles and delays. The MPCs arriving within a single cluster are typically unresolvable in the delay domain. In this paper, we analyze the effects of unresolved MPCs on the bias of the delay estimation with a multiband subspace fitting algorithm. We treat the unresolved MPCs as a model error that results in perturbed subspace estimation. Starting from the first-order approximation of the perturbations, we derive the bias of the delay estimate of the line-of-sight (LOS) component. We show that it depends on the power and relative delay of the unresolved MPCs in the first cluster compared to the LOS component. Numerical experiments are included to show that the derived expression for the bias well describes the effects of unresolved MPCs on the delay estimation.

Original language	English
Title of host publication	2020 54nd Asilomar Conference on Signals, Systems, and Computers
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	1070-1074
Number of pages	5
ISBN (Electronic)	978-0-7381-3126-9
ISBN (Print)	978-1-6654-4707-2
DOIs	https://doi.org/10.1109/IEEECONF51394.2020.9443360
Publication status	Published - 2021
Event	54th Asilomar Conference on Signals, Systems, and Computers - Virtual/online event at Pacific Grove, United States Duration: 1 Nov 2020 → 4 Nov 2020 Conference number: 54 https://www.asilomarsscconf.org/PastConferences.html

Conference

Conference	54th Asilomar Conference on Signals, Systems, and Computers
Abbreviated title	ACSSC 2020
Country/Territory	United States
City	Virtual/online event at Pacific Grove
Period	1/11/20 → 4/11/20
Internet address	https://www.asilomarsscconf.org/PastConferences.html

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care

Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

time-of-arrival
channel estimation
superresolution
subspace fitting
error analysis
bias
super-resolution

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10.1109/IEEECONF51394.2020.9443360

Analysis_of_Multipath_Channel_Delay_Estimation_Using_Subspace_FittingFinal published version, 2.09 MB

Cite this

@inproceedings{e2ca2d5286454fe5b6dc58594c8caeee,

title = "Analysis of multipath channel delay estimation using subspace fitting",

abstract = "The presence of rich scattering in indoor and urban radio propagation scenarios may cause a high arrival density of multipath components (MPCs). Often the MPCs arrive in clusters at the receiver, where MPCs within one cluster have similar angles and delays. The MPCs arriving within a single cluster are typically unresolvable in the delay domain. In this paper, we analyze the effects of unresolved MPCs on the bias of the delay estimation with a multiband subspace fitting algorithm. We treat the unresolved MPCs as a model error that results in perturbed subspace estimation. Starting from the first-order approximation of the perturbations, we derive the bias of the delay estimate of the line-of-sight (LOS) component. We show that it depends on the power and relative delay of the unresolved MPCs in the first cluster compared to the LOS component. Numerical experiments are included to show that the derived expression for the bias well describes the effects of unresolved MPCs on the delay estimation.",

keywords = "time-of-arrival, channel estimation, superresolution, subspace fitting, error analysis, bias, super-resolution",

author = "Tarik Kazaz and Jac Romme and Janssen, {Gerard J.M.} and {van der Veen}, Alle-Jan",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.; 54th Asilomar Conference on Signals, Systems, and Computers, ACSSC 2020 ; Conference date: 01-11-2020 Through 04-11-2020",

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doi = "10.1109/IEEECONF51394.2020.9443360",

language = "English",

isbn = "978-1-6654-4707-2",

pages = "1070--1074",

booktitle = "2020 54nd Asilomar Conference on Signals, Systems, and Computers",

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Kazaz, T, Romme, J , Janssen, GJM & van der Veen, A-J 2021, Analysis of multipath channel delay estimation using subspace fitting. in 2020 54nd Asilomar Conference on Signals, Systems, and Computers ., 9443360, IEEE, Piscataway, NJ, pp. 1070-1074, 54th Asilomar Conference on Signals, Systems, and Computers, Virtual/online event at Pacific Grove, United States, 1/11/20. https://doi.org/10.1109/IEEECONF51394.2020.9443360

Analysis of multipath channel delay estimation using subspace fitting. / Kazaz, Tarik; Romme, Jac ; Janssen, Gerard J.M. et al.
2020 54nd Asilomar Conference on Signals, Systems, and Computers . Piscataway, NJ: IEEE, 2021. p. 1070-1074 9443360.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Analysis of multipath channel delay estimation using subspace fitting

AU - Kazaz, Tarik

AU - Romme, Jac

AU - Janssen, Gerard J.M.

AU - van der Veen, Alle-Jan

N1 - Conference code: 54

PY - 2021

Y1 - 2021

N2 - The presence of rich scattering in indoor and urban radio propagation scenarios may cause a high arrival density of multipath components (MPCs). Often the MPCs arrive in clusters at the receiver, where MPCs within one cluster have similar angles and delays. The MPCs arriving within a single cluster are typically unresolvable in the delay domain. In this paper, we analyze the effects of unresolved MPCs on the bias of the delay estimation with a multiband subspace fitting algorithm. We treat the unresolved MPCs as a model error that results in perturbed subspace estimation. Starting from the first-order approximation of the perturbations, we derive the bias of the delay estimate of the line-of-sight (LOS) component. We show that it depends on the power and relative delay of the unresolved MPCs in the first cluster compared to the LOS component. Numerical experiments are included to show that the derived expression for the bias well describes the effects of unresolved MPCs on the delay estimation.

AB - The presence of rich scattering in indoor and urban radio propagation scenarios may cause a high arrival density of multipath components (MPCs). Often the MPCs arrive in clusters at the receiver, where MPCs within one cluster have similar angles and delays. The MPCs arriving within a single cluster are typically unresolvable in the delay domain. In this paper, we analyze the effects of unresolved MPCs on the bias of the delay estimation with a multiband subspace fitting algorithm. We treat the unresolved MPCs as a model error that results in perturbed subspace estimation. Starting from the first-order approximation of the perturbations, we derive the bias of the delay estimate of the line-of-sight (LOS) component. We show that it depends on the power and relative delay of the unresolved MPCs in the first cluster compared to the LOS component. Numerical experiments are included to show that the derived expression for the bias well describes the effects of unresolved MPCs on the delay estimation.

KW - time-of-arrival

KW - channel estimation

KW - superresolution

KW - subspace fitting

KW - error analysis

KW - bias

KW - super-resolution

UR - http://www.scopus.com/inward/record.url?scp=85107785700&partnerID=8YFLogxK

U2 - 10.1109/IEEECONF51394.2020.9443360

DO - 10.1109/IEEECONF51394.2020.9443360

M3 - Conference contribution

SN - 978-1-6654-4707-2

SP - 1070

EP - 1074

BT - 2020 54nd Asilomar Conference on Signals, Systems, and Computers

PB - IEEE

CY - Piscataway, NJ

T2 - 54th Asilomar Conference on Signals, Systems, and Computers

Y2 - 1 November 2020 through 4 November 2020

ER -

Analysis of multipath channel delay estimation using subspace fitting

Abstract

Conference

Bibliographical note

Keywords

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