Statistical trade-offs in modern time-frequency kernel design.

When dealing with random processes, reduced spectrum estimate variance becomes an important property which augments the list of desired time-frequency properties of modern distributions. In this paper, the degrees of freedom left in the two-dimensional kernel after satisfying the support, the marginal, and the instantaneous frequency requirements are used to yield a kernel of minimum variance. The average variance over the Nyguist interval of the spectrum estimate of a white noise process is used as the measure to be minimized. We prove that the Born-Jordan kernel [1] has the lowest possible average variance. It is also shown that the cone-shape of the modern t-f kernels is primarily responsible for their high variance. A comparison of the statistical performance of different shapes of kernels is provided.

Main Author: Hearon, Steven.
Other Authors: Amin, Moeness.
Format: Villanova Faculty Authorship
Language: English
Published: 1991
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:173669
PID vudl:173669
id vudl:173669
modeltype_str_mv vudl-system:CoreModel
vudl-system:CollectionModel
vudl-system:ResourceCollection
datastream_str_mv DC
PARENT-QUERY
PARENT-LIST-RAW
PARENT-LIST
MEMBER-QUERY
MEMBER-LIST-RAW
LEGACY-METS
LICENSE
AGENTS
PROCESS-MD
THUMBNAIL
STRUCTMAP
RELS-EXT
hierarchytype
sequence_vudl_173023_str 0000000216
has_order_str no
hierarchy_top_id vudl:641262
hierarchy_top_title Villanova faculty author
hierarchy_parent_id vudl:173023
hierarchy_parent_title Amin Moeness
hierarchy_sequence 0000000216
hierarchy_first_parent_id_str vudl:173669
hierarchy_sequence_sort_str 0000000216
hierarchy_all_parents_str_mv vudl:172968
vudl:641262
vudl:173023
first_indexed 2014-01-11T21:57:28Z
last_indexed 2021-04-12T19:35:18Z
recordtype vudl
fullrecord <root> <url> http://digital.library.villanova.edu/files/vudl:173669/DC </url> <thumbnail> http://digital.library.villanova.edu/files/vudl:173669/THUMBNAIL </thumbnail> </root>
spelling
institution Villanova University
collection Digital Library
language English
dc_source_str_mv Proceedings of the Asilomar Conference on Signals, Systems, and Computers, November 1991.
author Hearon, Steven.
author_facet_str_mv Hearon, Steven.
Amin, Moeness.
author_or_contributor_facet_str_mv Hearon, Steven.
Amin, Moeness.
author_s Hearon, Steven.
spellingShingle Hearon, Steven.
Statistical trade-offs in modern time-frequency kernel design.
author-letter Hearon, Steven.
author_sort_str Hearon, Steven.
author2 Amin, Moeness.
author2Str Amin, Moeness.
dc_title_str Statistical trade-offs in modern time-frequency kernel design.
title Statistical trade-offs in modern time-frequency kernel design.
title_short Statistical trade-offs in modern time-frequency kernel design.
title_full Statistical trade-offs in modern time-frequency kernel design.
title_fullStr Statistical trade-offs in modern time-frequency kernel design.
title_full_unstemmed Statistical trade-offs in modern time-frequency kernel design.
collection_title_sort_str statistical trade-offs in modern time-frequency kernel design.
title_sort statistical trade-offs in modern time-frequency kernel design.
format Villanova Faculty Authorship
description When dealing with random processes, reduced spectrum estimate variance becomes an important property which augments the list of desired time-frequency properties of modern distributions. In this paper, the degrees of freedom left in the two-dimensional kernel after satisfying the support, the marginal, and the instantaneous frequency requirements are used to yield a kernel of minimum variance. The average variance over the Nyguist interval of the spectrum estimate of a white noise process is used as the measure to be minimized. We prove that the Born-Jordan kernel [1] has the lowest possible average variance. It is also shown that the cone-shape of the modern t-f kernels is primarily responsible for their high variance. A comparison of the statistical performance of different shapes of kernels is provided.
publishDate 1991
normalized_sort_date 1991-01-01T00:00:00Z
dc_date_str 1991
license_str protected
REPOSITORYNAME FgsRepos
REPOSBASEURL http://hades.library.villanova.edu:8088/fedora
fgs.state Active
fgs.label Statistical trade-offs in modern time-frequency kernel design.
fgs.ownerId diglibEditor
fgs.createdDate 2013-01-22T03:04:07.702Z
fgs.lastModifiedDate 2021-04-12T19:09:03.091Z
dc.title Statistical trade-offs in modern time-frequency kernel design.
dc.creator Hearon, Steven.
Amin, Moeness.
dc.description When dealing with random processes, reduced spectrum estimate variance becomes an important property which augments the list of desired time-frequency properties of modern distributions. In this paper, the degrees of freedom left in the two-dimensional kernel after satisfying the support, the marginal, and the instantaneous frequency requirements are used to yield a kernel of minimum variance. The average variance over the Nyguist interval of the spectrum estimate of a white noise process is used as the measure to be minimized. We prove that the Born-Jordan kernel [1] has the lowest possible average variance. It is also shown that the cone-shape of the modern t-f kernels is primarily responsible for their high variance. A comparison of the statistical performance of different shapes of kernels is provided.
dc.date 1991
dc.format Villanova Faculty Authorship
dc.identifier vudl:173669
dc.source Proceedings of the Asilomar Conference on Signals, Systems, and Computers, November 1991.
dc.language en
license.mdRef http://digital.library.villanova.edu/copyright.html
agent.name Falvey Memorial Library, Villanova University
KHL
has_thumbnail true
THUMBNAIL_contentDigest_type MD5
THUMBNAIL_contentDigest_digest 203c69e18f4f46c81e9892448d2c07cd
THUMBNAIL_contentLocation_type INTERNAL_ID
THUMBNAIL_contentLocation_ref http://hades-vm.library.villanova.edu:8088/fedora/get/vudl:173669/THUMBNAIL/2013-01-22T03:04:09.952Z
relsext.hasModel info:fedora/vudl-system:CoreModel
info:fedora/vudl-system:CollectionModel
info:fedora/vudl-system:ResourceCollection
relsext.itemID oai:digital.library.villanova.edu:vudl:173669
relsext.isMemberOf info:fedora/vudl:173023
relsext.hasLegacyURL http://digital.library.villanova.edu/Villanova%20Digital%20Collection/Faculty%20Fulltext/Amin%20Moeness/AminMoeness-5ec53b80-971b-4ab3-b103-311fea25a4cd.xml
relsext.sortOn title
relsext.sequence vudl:173023#216
_version_ 1696864528583622656
score 13.585118
subpages