2D Sinusoidal Parameter Estimation with Offset Term

We consider the parameter estimation of a 2D sinusoid. Although sinusoidal parameter estimation has been extensively studied, our model differs from those examined in the available literature by the inclusion of an offset term. We derive both the maximum likelihood estimation (MLE) solution and the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2017-02
Hauptverfasser: A Pasha Hosseinbor, Zhdanov, Renat
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator A Pasha Hosseinbor
Zhdanov, Renat
description We consider the parameter estimation of a 2D sinusoid. Although sinusoidal parameter estimation has been extensively studied, our model differs from those examined in the available literature by the inclusion of an offset term. We derive both the maximum likelihood estimation (MLE) solution and the Cramer-Rao lower bound (CRLB) on the variance of the model's estimators.
format Article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2074521816</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2074521816</sourcerecordid><originalsourceid>FETCH-proquest_journals_20745218163</originalsourceid><addsrcrecordid>eNqNyrEKwjAUQNEgCBbtPwScC8lL03bXipuC3UvAF0xpEs1L8fd18AOc7nDuihWglKy6GmDDSqJJCAFNC1qrgik48psLC0V3NzO_mmQ8Zky8p-y8yS4G_nb5wS_WEmY-YPI7trZmJix_3bL9qR8O5-qZ4mtByuMUlxS-NIJoaw2yk4367_oA5Ngzyg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2074521816</pqid></control><display><type>article</type><title>2D Sinusoidal Parameter Estimation with Offset Term</title><source>Free E- Journals</source><creator>A Pasha Hosseinbor ; Zhdanov, Renat</creator><creatorcontrib>A Pasha Hosseinbor ; Zhdanov, Renat</creatorcontrib><description>We consider the parameter estimation of a 2D sinusoid. Although sinusoidal parameter estimation has been extensively studied, our model differs from those examined in the available literature by the inclusion of an offset term. We derive both the maximum likelihood estimation (MLE) solution and the Cramer-Rao lower bound (CRLB) on the variance of the model's estimators.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Cramer-Rao bounds ; Estimating techniques ; Lower bounds ; Mathematical models ; Maximum likelihood estimation ; Parameter estimation ; Two dimensional models</subject><ispartof>arXiv.org, 2017-02</ispartof><rights>2017. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>780,784</link.rule.ids></links><search><creatorcontrib>A Pasha Hosseinbor</creatorcontrib><creatorcontrib>Zhdanov, Renat</creatorcontrib><title>2D Sinusoidal Parameter Estimation with Offset Term</title><title>arXiv.org</title><description>We consider the parameter estimation of a 2D sinusoid. Although sinusoidal parameter estimation has been extensively studied, our model differs from those examined in the available literature by the inclusion of an offset term. We derive both the maximum likelihood estimation (MLE) solution and the Cramer-Rao lower bound (CRLB) on the variance of the model's estimators.</description><subject>Cramer-Rao bounds</subject><subject>Estimating techniques</subject><subject>Lower bounds</subject><subject>Mathematical models</subject><subject>Maximum likelihood estimation</subject><subject>Parameter estimation</subject><subject>Two dimensional models</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqNyrEKwjAUQNEgCBbtPwScC8lL03bXipuC3UvAF0xpEs1L8fd18AOc7nDuihWglKy6GmDDSqJJCAFNC1qrgik48psLC0V3NzO_mmQ8Zky8p-y8yS4G_nb5wS_WEmY-YPI7trZmJix_3bL9qR8O5-qZ4mtByuMUlxS-NIJoaw2yk4367_oA5Ngzyg</recordid><startdate>20170207</startdate><enddate>20170207</enddate><creator>A Pasha Hosseinbor</creator><creator>Zhdanov, Renat</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20170207</creationdate><title>2D Sinusoidal Parameter Estimation with Offset Term</title><author>A Pasha Hosseinbor ; Zhdanov, Renat</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20745218163</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Cramer-Rao bounds</topic><topic>Estimating techniques</topic><topic>Lower bounds</topic><topic>Mathematical models</topic><topic>Maximum likelihood estimation</topic><topic>Parameter estimation</topic><topic>Two dimensional models</topic><toplevel>online_resources</toplevel><creatorcontrib>A Pasha Hosseinbor</creatorcontrib><creatorcontrib>Zhdanov, Renat</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>A Pasha Hosseinbor</au><au>Zhdanov, Renat</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>2D Sinusoidal Parameter Estimation with Offset Term</atitle><jtitle>arXiv.org</jtitle><date>2017-02-07</date><risdate>2017</risdate><eissn>2331-8422</eissn><abstract>We consider the parameter estimation of a 2D sinusoid. Although sinusoidal parameter estimation has been extensively studied, our model differs from those examined in the available literature by the inclusion of an offset term. We derive both the maximum likelihood estimation (MLE) solution and the Cramer-Rao lower bound (CRLB) on the variance of the model's estimators.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2017-02
issn 2331-8422
language eng
recordid cdi_proquest_journals_2074521816
source Free E- Journals
subjects Cramer-Rao bounds
Estimating techniques
Lower bounds
Mathematical models
Maximum likelihood estimation
Parameter estimation
Two dimensional models
title 2D Sinusoidal Parameter Estimation with Offset Term
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T15%3A32%3A42IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=2D%20Sinusoidal%20Parameter%20Estimation%20with%20Offset%20Term&rft.jtitle=arXiv.org&rft.au=A%20Pasha%20Hosseinbor&rft.date=2017-02-07&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2074521816%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2074521816&rft_id=info:pmid/&rfr_iscdi=true