A Unified Framework for the Realization Problem in Linear Digital Filtering
In a new approach to characterizing the implementation of linear digital filters all possible realizations for any filter are treated in the same framework, based on the representation of an input/output specification for a linear filter by a unique, possibly infinite transmission matrix, which can...
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creator | Chan,David S K |
description | In a new approach to characterizing the implementation of linear digital filters all possible realizations for any filter are treated in the same framework, based on the representation of an input/output specification for a linear filter by a unique, possibly infinite transmission matrix, which can be extended to include arrays of higher than two dimensions or of arbitrary dimensions. A set of notations and operation rules for these arrays and matrices is presented, and all possible implementations of a filter are characterized as factorizations of its transmission array.
Presented at 1977 International Conference on Acoustics, Speech and Signal Processing. |
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Presented at 1977 International Conference on Acoustics, Speech and Signal Processing.</description><language>eng</language><subject>Cybernetics ; DIGITAL FILTERS ; INFORMATION THEORY ; INPUT OUTPUT PROCESSING ; LINEAR FILTERING ; MATRICES(MATHEMATICS) ; SIGNAL PROCESSING</subject><creationdate>1977</creationdate><rights>APPROVED FOR PUBLIC RELEASE</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,776,881,27544,27545</link.rule.ids><linktorsrc>$$Uhttps://apps.dtic.mil/sti/citations/ADA048459$$EView_record_in_DTIC$$FView_record_in_$$GDTIC$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>Chan,David S K</creatorcontrib><creatorcontrib>MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS</creatorcontrib><title>A Unified Framework for the Realization Problem in Linear Digital Filtering</title><description>In a new approach to characterizing the implementation of linear digital filters all possible realizations for any filter are treated in the same framework, based on the representation of an input/output specification for a linear filter by a unique, possibly infinite transmission matrix, which can be extended to include arrays of higher than two dimensions or of arbitrary dimensions. A set of notations and operation rules for these arrays and matrices is presented, and all possible implementations of a filter are characterized as factorizations of its transmission array.
Presented at 1977 International Conference on Acoustics, Speech and Signal Processing.</description><subject>Cybernetics</subject><subject>DIGITAL FILTERS</subject><subject>INFORMATION THEORY</subject><subject>INPUT OUTPUT PROCESSING</subject><subject>LINEAR FILTERING</subject><subject>MATRICES(MATHEMATICS)</subject><subject>SIGNAL PROCESSING</subject><fulltext>true</fulltext><rsrctype>report</rsrctype><creationdate>1977</creationdate><recordtype>report</recordtype><sourceid>1RU</sourceid><recordid>eNrjZPB2VAjNy0zLTE1RcCtKzE0tzy_KVkjLL1IoyUhVCEpNzMmsSizJzM9TCCjKT8pJzVXIzFPwycxLTSxScMlMzyxJzFFwy8wpSS3KzEvnYWBNS8wpTuWF0twMMm6uIc4euiklmcnxxSVAbSXxji6OBiYWJqaWxgSkAd7FMcw</recordid><startdate>197711</startdate><enddate>197711</enddate><creator>Chan,David S K</creator><scope>1RU</scope><scope>BHM</scope></search><sort><creationdate>197711</creationdate><title>A Unified Framework for the Realization Problem in Linear Digital Filtering</title><author>Chan,David S K</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-dtic_stinet_ADA0484593</frbrgroupid><rsrctype>reports</rsrctype><prefilter>reports</prefilter><language>eng</language><creationdate>1977</creationdate><topic>Cybernetics</topic><topic>DIGITAL FILTERS</topic><topic>INFORMATION THEORY</topic><topic>INPUT OUTPUT PROCESSING</topic><topic>LINEAR FILTERING</topic><topic>MATRICES(MATHEMATICS)</topic><topic>SIGNAL PROCESSING</topic><toplevel>online_resources</toplevel><creatorcontrib>Chan,David S K</creatorcontrib><creatorcontrib>MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS</creatorcontrib><collection>DTIC Technical Reports</collection><collection>DTIC STINET</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Chan,David S K</au><aucorp>MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS</aucorp><format>book</format><genre>unknown</genre><ristype>RPRT</ristype><btitle>A Unified Framework for the Realization Problem in Linear Digital Filtering</btitle><date>1977-11</date><risdate>1977</risdate><abstract>In a new approach to characterizing the implementation of linear digital filters all possible realizations for any filter are treated in the same framework, based on the representation of an input/output specification for a linear filter by a unique, possibly infinite transmission matrix, which can be extended to include arrays of higher than two dimensions or of arbitrary dimensions. A set of notations and operation rules for these arrays and matrices is presented, and all possible implementations of a filter are characterized as factorizations of its transmission array.
Presented at 1977 International Conference on Acoustics, Speech and Signal Processing.</abstract><oa>free_for_read</oa></addata></record> |
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subjects | Cybernetics DIGITAL FILTERS INFORMATION THEORY INPUT OUTPUT PROCESSING LINEAR FILTERING MATRICES(MATHEMATICS) SIGNAL PROCESSING |
title | A Unified Framework for the Realization Problem in Linear Digital Filtering |
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