{"id":799228,"date":"2021-11-22T14:53:21","date_gmt":"2021-11-22T22:53:21","guid":{"rendered":"https:\/\/new-cm-edgedigital.pages.dev\/en-us\/research\/?post_type=msr-research-item&#038;p=799228"},"modified":"2021-11-22T14:53:21","modified_gmt":"2021-11-22T22:53:21","slug":"on-dead-zone-plus-uniform-threshold-scalar-quantization","status":"publish","type":"msr-research-item","link":"https:\/\/new-cm-edgedigital.pages.dev\/en-us\/research\/publication\/on-dead-zone-plus-uniform-threshold-scalar-quantization\/","title":{"rendered":"On dead-zone plus uniform threshold scalar quantization"},"content":{"rendered":"<p>This paper studies the rate-distortion performance of symmetric scalar quantizers to extend previous work published by the first author. We first provide a theoretical analysis of dead-zone plus uniform threshold quantization (DZ+UTQ) for nearly-uniform-reconstruction quantization (NURQ). The quantization performance is particularly investigated for Generalized Gaussian (such as Laplacian and Gaussian) sources using the squared-error distortion measure. According to the analysis, we note that the rate-distortion optimized quantizer is DZ+UTQ with NURQ for Laplacian sources, and is very similar to a DZ+UTQ for a uniform reconstruction quantizer (URQ). We further provide theoretical analysis of rate-distortion constrained DZ+UTQ with NURQ and URQ to cover other Generalized Gaussian sources and give the rate-distortion performance comparison theoretically between NURQ and URQ for DZ+UTQ. We conclude that a URQ is a near-optimal reconstruction rule for many sources, and that a DZ+UTQ classification rule is an effective classifier for it. URQ can be considered as a sub-optimal case of NURQ; the advantage of URQ being its simpler reconstruction rule. Based on the theoretical findings, a new DZ+UTQ quantization rounding technique for URQ is developed and integrated into recent H.264\/AVC reference software to improve its encoding performance. Up to 1.0 dB performance improvement is observed, particularly in the very high bit rate range.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This paper studies the rate-distortion performance of symmetric scalar quantizers to extend previous work published by the first author. We first provide a theoretical analysis of dead-zone plus uniform threshold quantization (DZ+UTQ) for nearly-uniform-reconstruction quantization (NURQ). The quantization performance is particularly investigated for Generalized Gaussian (such as Laplacian and Gaussian) sources using the squared-error distortion [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"International Society for Optics and Photonics","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"","msr_page_range_start":"596033","msr_page_range_end":"","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"","msr_doi":"","msr_arxiv_id":"","msr_s2_paper_id":"","msr_mag_id":"2073654533","msr_pubmed_id":"","msr_other_authors":"","msr_other_contributors":"","msr_speaker":"","msr_award":"","msr_affiliation":"","msr_institution":"","msr_host":"","msr_version":"","msr_duration":"","msr_original_fields_of_study":null,"msr_release_tracker_id":"","msr_s2_match_type":"","msr_citation_count_updated":"","msr_published_date":"2005-6-30","msr_highlight_text":"","msr_notes":"","msr_longbiography":"","msr_publicationurl":"","msr_external_url":"","msr_secondary_video_url":"","msr_conference_url":"","msr_journal_url":"","msr_s2_pdf_url":"","msr_year":0,"msr_citation_count":0,"msr_influential_citations":0,"msr_reference_count":0,"msr_s2_match_confidence":0,"msr_microsoftintellectualproperty":true,"msr_s2_open_access":false,"msr_s2_author_ids":[],"msr_pub_ids":[],"msr_hide_image_in_river":0,"footnotes":""},"msr-research-highlight":[],"research-area":[13561,13551],"msr-publication-type":[193716],"msr-publisher":[],"msr-focus-area":[],"msr-locale":[268875],"msr-post-option":[],"msr-field-of-study":[246904,262138,262135,250777,252778,248869,262006,262132],"msr-conference":[262009],"msr-journal":[],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-799228","msr-research-item","type-msr-research-item","status-publish","hentry","msr-research-area-algorithms","msr-research-area-graphics-and-multimedia","msr-locale-en_us","msr-field-of-study-algorithm","msr-field-of-study-classification-rule","msr-field-of-study-dead-zone","msr-field-of-study-gaussian","msr-field-of-study-performance-improvement","msr-field-of-study-quantization-signal-processing","msr-field-of-study-rate-distortion-theory","msr-field-of-study-rounding"],"msr_publishername":"International Society for Optics and Photonics","msr_edition":"","msr_affiliation":"","msr_published_date":"2005-6-30","msr_host":"","msr_duration":"","msr_version":"","msr_speaker":"","msr_other_contributors":"","msr_booktitle":"","msr_pages_string":"","msr_chapter":"","msr_isbn":"","msr_journal":"","msr_volume":"","msr_number":"","msr_editors":"","msr_series":"","msr_issue":"","msr_organization":"","msr_how_published":"","msr_notes":"","msr_highlight_text":"","msr_release_tracker_id":"","msr_original_fields_of_study":"","msr_download_urls":"","msr_external_url":"","msr_secondary_video_url":"","msr_longbiography":"","msr_microsoftintellectualproperty":1,"msr_main_download":"","msr_publicationurl":"","msr_doi":"","msr_publication_uploader":[{"type":"doi","viewUrl":"false","id":"false","title":"10.1117\/12.631550","label_id":"243106","label":0},{"type":"url","viewUrl":"false","id":"false","title":"https:\/\/ui.adsabs.harvard.edu\/abs\/2005SPIE.5960.1041S\/abstract","label_id":"243109","label":0},{"type":"url","viewUrl":"false","id":"false","title":"https:\/\/www.spiedigitallibrary.org\/conference-proceedings-of-spie\/5960\/1\/On-dead-zone-plus-uniform-threshold-scalar-quantization\/10.1117\/12.631550.full","label_id":"243109","label":0}],"msr_related_uploader":"","msr_citation_count":0,"msr_citation_count_updated":"","msr_s2_paper_id":"","msr_influential_citations":0,"msr_reference_count":0,"msr_arxiv_id":"","msr_s2_author_ids":[],"msr_s2_open_access":false,"msr_s2_pdf_url":null,"msr_attachments":[],"msr-author-ordering":[{"type":"user_nicename","value":"Gary J. 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