A Lagrangian formulation of high rate quantization
The asymptotic optimal performance of variable-rate vector quantizers of fixed dimension and large rate was first developed in a rigorous fashion by Paul Zador (1966). Subsequent design algorithms for such compression codes used a Lagrangian formulation in order to generalize Lloyd's classic qu...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Tagungsbericht |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 2632 vol.4 |
|---|---|
| container_issue | |
| container_start_page | 2629 |
| container_title | |
| container_volume | 4 |
| creator | Shih, J. Aiyer, A.K. Gray, R.M. |
| description | The asymptotic optimal performance of variable-rate vector quantizers of fixed dimension and large rate was first developed in a rigorous fashion by Paul Zador (1966). Subsequent design algorithms for such compression codes used a Lagrangian formulation in order to generalize Lloyd's classic quantizer optimization algorithm to variable rate codes. This formulation has been subsequently adopted in a variety of practical systems including rate-optimized streaming video. We describe a Lagrangian formulation of Zador's variable-rate quantization results and apply it to estimate Zador's constant using the generalized Lloyd algorithm. |
| doi_str_mv | 10.1109/ICASSP.2001.940541 |
| format | Conference Proceeding |
| fullrecord | <record><control><sourceid>ieee_6IE</sourceid><recordid>TN_cdi_ieee_primary_940541</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>940541</ieee_id><sourcerecordid>940541</sourcerecordid><originalsourceid>FETCH-LOGICAL-i87t-fd9eb586a233f89d0b6c02f0ced3bf56e6f6b0df3fd880e00781f16d2ed0f6bf3</originalsourceid><addsrcrecordid>eNotj8tqwzAQRUUfUCftD2SlH5A7I8mytAyhLzC0kCy6C3KkcVQSu7WdRfv1NU1Xd3Hgcg5jC4QcEdz9y2q5Xr_lEgBzp6HQeMEyqUon0MH7JZtBaUGVoFFfsQwLCcKgdjdsNgwfAGBLbTMml7zyTe_bJvmWU9cfTwc_pq7lHfF9ava892PkXyffjunnj9yya_KHId7975xtHh82q2dRvT5NUpVIthwFBRfrwhovlSLrAtRmB5JgF4OqqTDRkKkhkKJgLUSYbJHQBBkDTITUnC3OtynGuP3s09H339tzqfoFxklGxA</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>A Lagrangian formulation of high rate quantization</title><source>IEEE Electronic Library (IEL) Conference Proceedings</source><creator>Shih, J. ; Aiyer, A.K. ; Gray, R.M.</creator><creatorcontrib>Shih, J. ; Aiyer, A.K. ; Gray, R.M.</creatorcontrib><description>The asymptotic optimal performance of variable-rate vector quantizers of fixed dimension and large rate was first developed in a rigorous fashion by Paul Zador (1966). Subsequent design algorithms for such compression codes used a Lagrangian formulation in order to generalize Lloyd's classic quantizer optimization algorithm to variable rate codes. This formulation has been subsequently adopted in a variety of practical systems including rate-optimized streaming video. We describe a Lagrangian formulation of Zador's variable-rate quantization results and apply it to estimate Zador's constant using the generalized Lloyd algorithm.</description><identifier>ISSN: 1520-6149</identifier><identifier>ISBN: 0780370414</identifier><identifier>ISBN: 9780780370418</identifier><identifier>EISSN: 2379-190X</identifier><identifier>DOI: 10.1109/ICASSP.2001.940541</identifier><language>eng</language><publisher>IEEE</publisher><subject>Algorithm design and analysis ; Decoding ; Delay ; Design optimization ; Distortion measurement ; Entropy ; Information systems ; Laboratories ; Lagrangian functions ; Quantization</subject><ispartof>2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221), 2001, Vol.4, p.2629-2632 vol.4</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/940541$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2058,4050,4051,27925,54920</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/940541$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Shih, J.</creatorcontrib><creatorcontrib>Aiyer, A.K.</creatorcontrib><creatorcontrib>Gray, R.M.</creatorcontrib><title>A Lagrangian formulation of high rate quantization</title><title>2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221)</title><addtitle>ICASSP</addtitle><description>The asymptotic optimal performance of variable-rate vector quantizers of fixed dimension and large rate was first developed in a rigorous fashion by Paul Zador (1966). Subsequent design algorithms for such compression codes used a Lagrangian formulation in order to generalize Lloyd's classic quantizer optimization algorithm to variable rate codes. This formulation has been subsequently adopted in a variety of practical systems including rate-optimized streaming video. We describe a Lagrangian formulation of Zador's variable-rate quantization results and apply it to estimate Zador's constant using the generalized Lloyd algorithm.</description><subject>Algorithm design and analysis</subject><subject>Decoding</subject><subject>Delay</subject><subject>Design optimization</subject><subject>Distortion measurement</subject><subject>Entropy</subject><subject>Information systems</subject><subject>Laboratories</subject><subject>Lagrangian functions</subject><subject>Quantization</subject><issn>1520-6149</issn><issn>2379-190X</issn><isbn>0780370414</isbn><isbn>9780780370418</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2001</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj8tqwzAQRUUfUCftD2SlH5A7I8mytAyhLzC0kCy6C3KkcVQSu7WdRfv1NU1Xd3Hgcg5jC4QcEdz9y2q5Xr_lEgBzp6HQeMEyqUon0MH7JZtBaUGVoFFfsQwLCcKgdjdsNgwfAGBLbTMml7zyTe_bJvmWU9cfTwc_pq7lHfF9ava892PkXyffjunnj9yya_KHId7975xtHh82q2dRvT5NUpVIthwFBRfrwhovlSLrAtRmB5JgF4OqqTDRkKkhkKJgLUSYbJHQBBkDTITUnC3OtynGuP3s09H339tzqfoFxklGxA</recordid><startdate>2001</startdate><enddate>2001</enddate><creator>Shih, J.</creator><creator>Aiyer, A.K.</creator><creator>Gray, R.M.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope></search><sort><creationdate>2001</creationdate><title>A Lagrangian formulation of high rate quantization</title><author>Shih, J. ; Aiyer, A.K. ; Gray, R.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i87t-fd9eb586a233f89d0b6c02f0ced3bf56e6f6b0df3fd880e00781f16d2ed0f6bf3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Algorithm design and analysis</topic><topic>Decoding</topic><topic>Delay</topic><topic>Design optimization</topic><topic>Distortion measurement</topic><topic>Entropy</topic><topic>Information systems</topic><topic>Laboratories</topic><topic>Lagrangian functions</topic><topic>Quantization</topic><toplevel>online_resources</toplevel><creatorcontrib>Shih, J.</creatorcontrib><creatorcontrib>Aiyer, A.K.</creatorcontrib><creatorcontrib>Gray, R.M.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Xplore</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Shih, J.</au><au>Aiyer, A.K.</au><au>Gray, R.M.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>A Lagrangian formulation of high rate quantization</atitle><btitle>2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221)</btitle><stitle>ICASSP</stitle><date>2001</date><risdate>2001</risdate><volume>4</volume><spage>2629</spage><epage>2632 vol.4</epage><pages>2629-2632 vol.4</pages><issn>1520-6149</issn><eissn>2379-190X</eissn><isbn>0780370414</isbn><isbn>9780780370418</isbn><abstract>The asymptotic optimal performance of variable-rate vector quantizers of fixed dimension and large rate was first developed in a rigorous fashion by Paul Zador (1966). Subsequent design algorithms for such compression codes used a Lagrangian formulation in order to generalize Lloyd's classic quantizer optimization algorithm to variable rate codes. This formulation has been subsequently adopted in a variety of practical systems including rate-optimized streaming video. We describe a Lagrangian formulation of Zador's variable-rate quantization results and apply it to estimate Zador's constant using the generalized Lloyd algorithm.</abstract><pub>IEEE</pub><doi>10.1109/ICASSP.2001.940541</doi></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | ISSN: 1520-6149 |
| ispartof | 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221), 2001, Vol.4, p.2629-2632 vol.4 |
| issn | 1520-6149 2379-190X |
| language | eng |
| recordid | cdi_ieee_primary_940541 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Algorithm design and analysis Decoding Delay Design optimization Distortion measurement Entropy Information systems Laboratories Lagrangian functions Quantization |
| title | A Lagrangian formulation of high rate quantization |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-03T14%3A39%3A12IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_6IE&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=A%20Lagrangian%20formulation%20of%20high%20rate%20quantization&rft.btitle=2001%20IEEE%20International%20Conference%20on%20Acoustics,%20Speech,%20and%20Signal%20Processing.%20Proceedings%20(Cat.%20No.01CH37221)&rft.au=Shih,%20J.&rft.date=2001&rft.volume=4&rft.spage=2629&rft.epage=2632%20vol.4&rft.pages=2629-2632%20vol.4&rft.issn=1520-6149&rft.eissn=2379-190X&rft.isbn=0780370414&rft.isbn_list=9780780370418&rft_id=info:doi/10.1109/ICASSP.2001.940541&rft_dat=%3Cieee_6IE%3E940541%3C/ieee_6IE%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=940541&rfr_iscdi=true |