Generalized Paul-Koch basis functions

The set of piecewise-linear (PL) basis function described by Paul and Koch is generalized to a class of functions providing piecewise approximation with n continuous derivatives and generated by multiple integration of Walsh functions.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on acoustics, speech, and signal processing speech, and signal processing, 1976-06, Vol.24 (3), p.263-264
1. Verfasser: Melal, C.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 264
container_issue 3
container_start_page 263
container_title IEEE transactions on acoustics, speech, and signal processing
container_volume 24
creator Melal, C.
description The set of piecewise-linear (PL) basis function described by Paul and Koch is generalized to a class of functions providing piecewise approximation with n continuous derivatives and generated by multiple integration of Walsh functions.
doi_str_mv 10.1109/TASSP.1976.1162804
format Article
fullrecord <record><control><sourceid>crossref_RIE</sourceid><recordid>TN_cdi_crossref_primary_10_1109_TASSP_1976_1162804</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>1162804</ieee_id><sourcerecordid>10_1109_TASSP_1976_1162804</sourcerecordid><originalsourceid>FETCH-LOGICAL-c216t-4d28391634d1cdfdfca8c25c5c0b02e2d4b7f42ebace4de7e866f92a4dc8396e3</originalsourceid><addsrcrecordid>eNpFj8FKAzEURbNQsNb-gG5m4zI1yWQyybIUrWKhhdZ1yLy8YGSckaRd6Nc7tQOuLpfLuXAIueVszjkzD_vFbredc1OroSuhmbwgE8aMomXF9RW5zvmDMS51JSbkfoUdJtfGH_TF1h1b-trDe9G4HHMRjh0cYt_lG3IZXJtxNuaUvD097pfPdL1ZvSwXawqCqwOVXujScFVKz8EHH8BpEBVUwBomUHjZ1EEKbByg9FijVioY4aSHgVNYTok4_0Lqc04Y7FeKny59W87sSc7-ydmTnB3lBujuDEVE_AfG9RfOoU2x</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Generalized Paul-Koch basis functions</title><source>IEEE Xplore</source><creator>Melal, C.</creator><creatorcontrib>Melal, C.</creatorcontrib><description>The set of piecewise-linear (PL) basis function described by Paul and Koch is generalized to a class of functions providing piecewise approximation with n continuous derivatives and generated by multiple integration of Walsh functions.</description><identifier>ISSN: 0096-3518</identifier><identifier>DOI: 10.1109/TASSP.1976.1162804</identifier><identifier>CODEN: IETABA</identifier><language>eng</language><publisher>IEEE</publisher><subject>Assembly systems ; Circuit theory ; Circuits and systems ; Digital filters ; Linear systems ; Matrix decomposition ; Piecewise linear approximation ; Piecewise linear techniques ; Signal analysis ; Transfer functions</subject><ispartof>IEEE transactions on acoustics, speech, and signal processing, 1976-06, Vol.24 (3), p.263-264</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c216t-4d28391634d1cdfdfca8c25c5c0b02e2d4b7f42ebace4de7e866f92a4dc8396e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1162804$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1162804$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Melal, C.</creatorcontrib><title>Generalized Paul-Koch basis functions</title><title>IEEE transactions on acoustics, speech, and signal processing</title><addtitle>T-ASSP</addtitle><description>The set of piecewise-linear (PL) basis function described by Paul and Koch is generalized to a class of functions providing piecewise approximation with n continuous derivatives and generated by multiple integration of Walsh functions.</description><subject>Assembly systems</subject><subject>Circuit theory</subject><subject>Circuits and systems</subject><subject>Digital filters</subject><subject>Linear systems</subject><subject>Matrix decomposition</subject><subject>Piecewise linear approximation</subject><subject>Piecewise linear techniques</subject><subject>Signal analysis</subject><subject>Transfer functions</subject><issn>0096-3518</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1976</creationdate><recordtype>article</recordtype><recordid>eNpFj8FKAzEURbNQsNb-gG5m4zI1yWQyybIUrWKhhdZ1yLy8YGSckaRd6Nc7tQOuLpfLuXAIueVszjkzD_vFbredc1OroSuhmbwgE8aMomXF9RW5zvmDMS51JSbkfoUdJtfGH_TF1h1b-trDe9G4HHMRjh0cYt_lG3IZXJtxNuaUvD097pfPdL1ZvSwXawqCqwOVXujScFVKz8EHH8BpEBVUwBomUHjZ1EEKbByg9FijVioY4aSHgVNYTok4_0Lqc04Y7FeKny59W87sSc7-ydmTnB3lBujuDEVE_AfG9RfOoU2x</recordid><startdate>197606</startdate><enddate>197606</enddate><creator>Melal, C.</creator><general>IEEE</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>197606</creationdate><title>Generalized Paul-Koch basis functions</title><author>Melal, C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c216t-4d28391634d1cdfdfca8c25c5c0b02e2d4b7f42ebace4de7e866f92a4dc8396e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1976</creationdate><topic>Assembly systems</topic><topic>Circuit theory</topic><topic>Circuits and systems</topic><topic>Digital filters</topic><topic>Linear systems</topic><topic>Matrix decomposition</topic><topic>Piecewise linear approximation</topic><topic>Piecewise linear techniques</topic><topic>Signal analysis</topic><topic>Transfer functions</topic><toplevel>online_resources</toplevel><creatorcontrib>Melal, C.</creatorcontrib><collection>CrossRef</collection><jtitle>IEEE transactions on acoustics, speech, and signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Melal, C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Generalized Paul-Koch basis functions</atitle><jtitle>IEEE transactions on acoustics, speech, and signal processing</jtitle><stitle>T-ASSP</stitle><date>1976-06</date><risdate>1976</risdate><volume>24</volume><issue>3</issue><spage>263</spage><epage>264</epage><pages>263-264</pages><issn>0096-3518</issn><coden>IETABA</coden><abstract>The set of piecewise-linear (PL) basis function described by Paul and Koch is generalized to a class of functions providing piecewise approximation with n continuous derivatives and generated by multiple integration of Walsh functions.</abstract><pub>IEEE</pub><doi>10.1109/TASSP.1976.1162804</doi><tpages>2</tpages></addata></record>
fulltext fulltext_linktorsrc
identifier ISSN: 0096-3518
ispartof IEEE transactions on acoustics, speech, and signal processing, 1976-06, Vol.24 (3), p.263-264
issn 0096-3518
language eng
recordid cdi_crossref_primary_10_1109_TASSP_1976_1162804
source IEEE Xplore
subjects Assembly systems
Circuit theory
Circuits and systems
Digital filters
Linear systems
Matrix decomposition
Piecewise linear approximation
Piecewise linear techniques
Signal analysis
Transfer functions
title Generalized Paul-Koch basis functions
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T14%3A42%3A26IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_RIE&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Generalized%20Paul-Koch%20basis%20functions&rft.jtitle=IEEE%20transactions%20on%20acoustics,%20speech,%20and%20signal%20processing&rft.au=Melal,%20C.&rft.date=1976-06&rft.volume=24&rft.issue=3&rft.spage=263&rft.epage=264&rft.pages=263-264&rft.issn=0096-3518&rft.coden=IETABA&rft_id=info:doi/10.1109/TASSP.1976.1162804&rft_dat=%3Ccrossref_RIE%3E10_1109_TASSP_1976_1162804%3C/crossref_RIE%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=1162804&rfr_iscdi=true